Details

Time bar (total: 16.5s)

analyze54.0ms (0.3%)

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

Compiled 44 to 29 computations (34.1% saved)

sample1.8s (10.9%)

Results
1.8s8256×body256valid
Bogosity

preprocess75.0ms (0.5%)

Algorithm
egg-herbie
Rules
810×distribute-rgt-in_binary64
782×distribute-lft-in_binary64
670×+-commutative_binary64
612×associate-*l*_binary64
531×associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02480
16576
216576
383774
4520574
5599974
6636674
7704274
8759674
9760974
022
122
Stop Event
unsound
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
0
Call 2
Inputs
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 beta alpha) (*.f64 alpha beta)) 1) (+.f64 (+.f64 beta alpha) (*.f64 2 1))) (+.f64 (+.f64 beta alpha) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 beta alpha) (*.f64 2 1)) 1))
Outputs
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 (+.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 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 (fma.f64 alpha beta (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 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 (+.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 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 (fma.f64 alpha beta (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))))
Symmetry

(sort alpha beta)

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify111.0ms (0.7%)

Algorithm
egg-herbie
Rules
681×distribute-rgt-in_binary64
661×distribute-lft-in_binary64
485×associate-*l*_binary64
473×associate-/l/_binary64
389×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01540
13638
211738
362437
4430437
5499337
6525437
7579337
8631137
9632437
10655437
11668137
12682437
13712437
14792837
Stop Event
node limit
Counts
1 → 6
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 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) 1) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta beta) (+.f64 alpha 1)) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

eval2.0ms (0%)

Compiler

Compiled 166 to 100 computations (39.8% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New336
Fresh011
Picked000
Done000
Total347
Error
4.3b
Counts
7 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
4.4b
(/.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))
5.5b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
11.7b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
Compiler

Compiled 93 to 61 computations (34.4% saved)

localize68.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
0.0b
(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))
0.1b
(*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))
11.6b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
Compiler

Compiled 89 to 54 computations (39.3% saved)

series24.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite91.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
518×fma-neg_binary64
352×log1p-udef_binary64
350×expm1-udef_binary64
208×add-sqr-sqrt_binary64
203×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01688
139776
2665176
Stop Event
node limit
Counts
4 → 184
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))
(*.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) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (/.f64 1 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta)))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (/.f64 1 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (/.f64 1 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 alpha) (neg.f64 (+.f64 beta 1))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (neg.f64 (+.f64 (+.f64 3 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta 1))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (+.f64 alpha (+.f64 2 beta))) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (+.f64 alpha (+.f64 2 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))))))
((#(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 1 alpha) (*.f64 beta (+.f64 1 alpha)))))) (#(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 alpha (*.f64 beta alpha)) (+.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) 1) (+.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (+.f64 1 alpha)) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) 1) beta)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -1) (+.f64 1 (pow.f64 alpha 3))) (*.f64 (+.f64 beta -1) (fma.f64 alpha alpha (-.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (fma.f64 alpha alpha -1)) (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (+.f64 alpha -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -1) (fma.f64 alpha alpha -1)) (*.f64 (+.f64 beta -1) (+.f64 alpha -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 1 (pow.f64 beta 3))) (*.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (fma.f64 beta beta (-.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 alpha alpha -1) (+.f64 1 (pow.f64 beta 3))) (*.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 1 alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 beta 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)) 1))))) (#(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))))))

simplify134.0ms (0.8%)

Algorithm
egg-herbie
Rules
676×fma-def_binary64
585×times-frac_binary64
583×associate-*l*_binary64
482×associate-/r*_binary64
414×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079410517
1298110036
Stop Event
node limit
Counts
280 → 433
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.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 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))))
(pow.f64 beta 3)
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))))
(pow.f64 beta 3)
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))))
(*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 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 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2))))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)))))
(pow.f64 alpha 3)
(+.f64 (pow.f64 alpha 3) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha))))
(pow.f64 alpha 3)
(+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) (*.f64 -1 (*.f64 alpha (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) (*.f64 -1 (*.f64 alpha (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))))
(*.f64 (+.f64 2 alpha) (+.f64 3 alpha))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha))))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(pow.f64 beta 2)
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(/.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 (+.f64 beta alpha) 3))))
(/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9)) (+.f64 beta (-.f64 alpha 3)))
(pow.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) 3)
(pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 (+.f64 3 alpha) beta)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) 1))
(+.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))
(+.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) 3) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta alpha)))
(+.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta alpha)) 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) 3) 1))
(+.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 2 beta))))
(+.f64 (*.f64 beta (+.f64 (+.f64 3 alpha) beta)) (*.f64 (+.f64 alpha 2) (+.f64 (+.f64 3 alpha) beta)))
(+.f64 (*.f64 (+.f64 alpha 2) (+.f64 (+.f64 3 alpha) beta)) (*.f64 beta (+.f64 (+.f64 3 alpha) beta)))
(+.f64 (*.f64 (+.f64 beta alpha) (+.f64 (+.f64 3 alpha) beta)) (*.f64 2 (+.f64 (+.f64 3 alpha) beta)))
(+.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta 3)))
(+.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) beta) (*.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 alpha 2)))
(+.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 alpha 2)) (*.f64 (+.f64 (+.f64 3 alpha) beta) beta))
(+.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 3 alpha) beta) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 (+.f64 beta alpha) 3)))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (-.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 (+.f64 beta alpha) 3)))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9)) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (+.f64 beta (-.f64 alpha 3))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9)) (*.f64 (-.f64 beta (+.f64 alpha 2)) (+.f64 beta (-.f64 alpha 3))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 (+.f64 beta alpha) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 beta (-.f64 alpha 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 (+.f64 beta alpha) 3))) (-.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (+.f64 beta (-.f64 alpha 3)) (-.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta alpha)) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) 3) 3)) (+.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta alpha))) (-.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) 3) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3)) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta alpha))) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) 3) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))) (-.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (+.f64 3 alpha) beta)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (+.f64 3 alpha) beta)) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 (+.f64 beta alpha) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (-.f64 alpha 3)))
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 (+.f64 beta alpha) 3))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9)) (+.f64 beta (-.f64 alpha 3)))
(/.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 3 alpha) beta)) (+.f64 alpha (+.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3) (pow.f64 (+.f64 (+.f64 3 alpha) beta) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (+.f64 3 alpha) beta) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1))
(fma.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))
(fma.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))
(+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha)))
(+.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 1 alpha)))
(+.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) beta))
(+.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 beta 1))
(+.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) 1) (+.f64 beta 1))
(+.f64 (*.f64 beta (+.f64 1 alpha)) (+.f64 1 alpha))
(+.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 1 alpha))
(+.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) beta) 1)
(+.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) 1) beta)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (+.f64 1 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 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 (fma.f64 beta beta -1) (fma.f64 alpha alpha -1)) (*.f64 (+.f64 beta -1) (+.f64 alpha -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 (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 (fma.f64 alpha alpha -1) (fma.f64 beta beta -1)) (*.f64 (+.f64 alpha -1) (+.f64 beta -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha (*.f64 beta alpha)) 3) (pow.f64 (+.f64 beta 1) 3)) (+.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 alpha (*.f64 beta alpha))) (-.f64 (pow.f64 (+.f64 beta 1) 2) (*.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 beta 1)))))
(/.f64 (-.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 alpha (*.f64 beta alpha))) (pow.f64 (+.f64 beta 1) 2)) (fma.f64 (+.f64 beta 1) alpha (neg.f64 (+.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 beta beta -1) (+.f64 1 alpha)) (+.f64 beta -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 beta 1)) (fma.f64 alpha alpha (-.f64 1 alpha)))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (+.f64 beta 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 beta 1) (fma.f64 alpha alpha -1)) (+.f64 alpha -1))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (*.f64 (+.f64 1 alpha) (fma.f64 beta beta -1)) (+.f64 beta -1))
(pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (+.f64 beta 1)))
(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))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))))
(exp.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)) 1))
(fma.f64 (+.f64 beta 1) alpha (+.f64 beta 1))
(fma.f64 alpha (+.f64 beta 1) (+.f64 beta 1))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 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) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (/.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))) (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 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))))
(+.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) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 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) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 3) 2))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (+.f64 alpha 3))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)))))
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(pow.f64 beta 3)
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(*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))
(*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))
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(pow.f64 alpha 3)
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(pow.f64 alpha 3)
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(*.f64 (+.f64 2 alpha) (+.f64 3 alpha))
(*.f64 (+.f64 alpha 3) (+.f64 alpha 2))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha))))
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(fma.f64 beta (fma.f64 alpha 2 5) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2)))
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(fma.f64 (+.f64 alpha 2) (+.f64 alpha 3) (fma.f64 beta (+.f64 (*.f64 alpha 2) 5) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 3) (+.f64 alpha 2) (*.f64 beta (+.f64 beta (fma.f64 alpha 2 5))))
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(fma.f64 (+.f64 alpha 3) (+.f64 alpha 2) (*.f64 beta (+.f64 beta (fma.f64 alpha 2 5))))
(pow.f64 beta 2)
(*.f64 beta beta)
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(fma.f64 beta (+.f64 (*.f64 alpha 2) 5) (*.f64 beta beta))
(*.f64 beta (+.f64 beta (fma.f64 alpha 2 5)))
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(fma.f64 (+.f64 alpha 2) (+.f64 alpha 3) (fma.f64 beta (+.f64 (*.f64 alpha 2) 5) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 3) (+.f64 alpha 2) (*.f64 beta (+.f64 beta (fma.f64 alpha 2 5))))
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(fma.f64 (+.f64 alpha 2) (+.f64 alpha 3) (fma.f64 beta (+.f64 (*.f64 alpha 2) 5) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 3) (+.f64 alpha 2) (*.f64 beta (+.f64 beta (fma.f64 alpha 2 5))))
(pow.f64 beta 2)
(*.f64 beta beta)
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(*.f64 (/.f64 (fma.f64 beta beta -1) (+.f64 beta -1)) (+.f64 1 alpha))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 beta 1)) (fma.f64 alpha alpha (-.f64 1 alpha)))
(/.f64 (+.f64 1 beta) (/.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 1 (pow.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 alpha alpha (-.f64 1 alpha))) (+.f64 1 beta))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (+.f64 beta 1)) (+.f64 alpha -1))
(/.f64 (*.f64 (+.f64 1 beta) (fma.f64 alpha alpha -1)) (+.f64 alpha -1))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (+.f64 alpha -1)) (+.f64 1 beta))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 1 alpha)))
(/.f64 (+.f64 1 beta) (/.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 1 (pow.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 alpha alpha (-.f64 1 alpha))) (+.f64 1 beta))
(/.f64 (*.f64 (+.f64 beta 1) (fma.f64 alpha alpha -1)) (+.f64 alpha -1))
(/.f64 (*.f64 (+.f64 1 beta) (fma.f64 alpha alpha -1)) (+.f64 alpha -1))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (+.f64 alpha -1)) (+.f64 1 beta))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (+.f64 1 alpha) (/.f64 (fma.f64 beta beta (-.f64 1 beta)) (+.f64 1 (pow.f64 beta 3))))
(/.f64 (*.f64 (+.f64 1 alpha) (fma.f64 beta beta -1)) (+.f64 beta -1))
(/.f64 (fma.f64 beta beta -1) (/.f64 (+.f64 beta -1) (+.f64 1 alpha)))
(*.f64 (/.f64 (fma.f64 beta beta -1) (+.f64 beta -1)) (+.f64 1 alpha))
(pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 1)
(*.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))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 3)
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2)
(*.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))
(fabs.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (+.f64 beta 1)))
(*.f64 (+.f64 1 alpha) (+.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))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))))
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(exp.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)) 1))
(exp.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)))
(fma.f64 (+.f64 beta 1) alpha (+.f64 beta 1))
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(fma.f64 alpha (+.f64 beta 1) (+.f64 beta 1))
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 alpha beta) 1)
0.0b
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
0.1b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
17.0b
(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 99 to 51 computations (48.5% saved)

series22.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite84.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
614×fma-neg_binary64
355×log1p-udef_binary64
353×expm1-udef_binary64
209×add-sqr-sqrt_binary64
204×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01670
139870
2660270
Stop Event
node limit
Counts
4 → 143
Calls
Call 1
Inputs
(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 alpha beta) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 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(/.f64 1 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 beta (+.f64 alpha 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 beta (+.f64 alpha 3))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 beta (+.f64 alpha 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 beta (+.f64 alpha 3))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 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simplify171.0ms (1%)

Algorithm
egg-herbie
Rules
933×distribute-rgt-in_binary64
910×distribute-lft-in_binary64
584×fma-def_binary64
302×times-frac_binary64
203×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081810836
1283010304
Stop Event
node limit
Counts
239 → 376
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)))))
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(/.f64 (+.f64 beta 1) alpha)
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha))
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(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
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(/.f64 (+.f64 1 alpha) beta)
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta))
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(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) 1)) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1))))))) (+.f64 2 alpha))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4)))))))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(pow.f64 beta 2)
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1
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(*.f64 beta alpha)
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(*.f64 beta alpha)
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(+.f64 1 (*.f64 beta alpha))
1
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(*.f64 beta alpha)
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(*.f64 beta alpha)
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(+.f64 1 (*.f64 beta alpha))
(+.f64 1 (*.f64 beta alpha))
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(/.f64 1 (/.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 alpha beta) 2) (*.f64 alpha beta))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (fma.f64 alpha beta -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1)) (neg.f64 (fma.f64 alpha beta -1)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 alpha beta) 2)) (-.f64 1 (*.f64 alpha beta)))
(pow.f64 (fma.f64 alpha beta 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 alpha beta 1)) 2)
(pow.f64 (pow.f64 (fma.f64 alpha beta 1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 alpha beta 1) 2))
(log.f64 (exp.f64 (fma.f64 alpha beta 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 alpha beta 1))))
(cbrt.f64 (pow.f64 (fma.f64 alpha beta 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 alpha beta 1)))
(log1p.f64 (expm1.f64 (fma.f64 alpha beta 1)))
(exp.f64 (log1p.f64 (*.f64 alpha beta)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 alpha beta)) 1))
(fma.f64 alpha beta 1)
(fma.f64 beta alpha 1)
(fma.f64 1 (*.f64 alpha beta) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 alpha beta)) 2) (cbrt.f64 (*.f64 alpha beta)) 1)
(fma.f64 (sqrt.f64 (*.f64 alpha beta)) (sqrt.f64 (*.f64 alpha beta)) 1)
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 (/.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 (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) (fma.f64 beta 2 4)))) alpha (/.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 (/.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)))))
(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) (fma.f64 beta 2 4)))) alpha (+.f64 (fma.f64 (neg.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) (fma.f64 beta 2 4)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 beta 2 4))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (/.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 (/.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))))))
(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) (fma.f64 beta 2 4)))) alpha (-.f64 (fma.f64 (-.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 6) (fma.f64 beta 2 4))) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 (fma.f64 beta 2 4) (/.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) (fma.f64 beta 2 4)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.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 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) (fma.f64 beta 2 4)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 beta 2 4))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))))
(/.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 beta (*.f64 alpha alpha)) (-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta 2))) (*.f64 alpha alpha))))
(+.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))) (*.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (fma.f64 beta 2 4) alpha))))
(-.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 (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 4 (*.f64 beta 2)) (+.f64 beta (-.f64 1 (*.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 (+.f64 beta 1) (+.f64 4 (*.f64 beta 2))) (*.f64 alpha alpha)))
(-.f64 (+.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (fma.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2) (*.f64 (fma.f64 beta 2 4) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (fma.f64 beta 2 4))))) (pow.f64 alpha 3))))) (*.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (fma.f64 beta 2 4) alpha)))
(-.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 beta (-.f64 1 (*.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 beta (-.f64 1 (*.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 beta (-.f64 1 (*.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 (+.f64 beta 1) (+.f64 4 (*.f64 beta 2))) (*.f64 alpha alpha))))
(-.f64 (+.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (+.f64 (/.f64 beta alpha) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (fma.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2) (*.f64 (fma.f64 beta 2 4) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (fma.f64 beta 2 4))))) (pow.f64 alpha 3)))) (/.f64 (fma.f64 (neg.f64 (fma.f64 beta 2 4)) (fma.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2) (*.f64 (fma.f64 beta 2 4) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (fma.f64 beta 2 4))))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (fma.f64 beta 2 4))))) (pow.f64 alpha 4)))) (*.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (fma.f64 beta 2 4) alpha)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha)))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (neg.f64 (/.f64 (fma.f64 -1 beta -1) alpha))) (/.f64 (*.f64 (*.f64 -2 (fma.f64 -1 beta -1)) (+.f64 beta 2)) (*.f64 alpha alpha))))
(-.f64 (+.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (+.f64 beta 1) alpha))) (*.f64 -2 (/.f64 (fma.f64 beta -1 -1) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 1) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 3) (-.f64 (+.f64 beta 1) (*.f64 (*.f64 -2 (fma.f64 -1 beta -1)) (+.f64 beta 2))))) (fma.f64 -1 (/.f64 (fma.f64 -1 beta -1) alpha) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 beta -1)) (pow.f64 alpha 3))))) (/.f64 (*.f64 (*.f64 -2 (fma.f64 -1 beta -1)) (+.f64 beta 2)) (*.f64 alpha alpha))))
(+.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 1) (*.f64 2 (*.f64 (+.f64 beta 2) (fma.f64 beta -1 -1))))) (pow.f64 alpha 3)) (+.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (fma.f64 beta -1 -1) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 2 (/.f64 (fma.f64 beta -1 -1) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 1) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 1) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2)))))) (*.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2)))))) (pow.f64 alpha 4))) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 3) (-.f64 (+.f64 beta 1) (*.f64 (*.f64 -2 (fma.f64 -1 beta -1)) (+.f64 beta 2))))) (fma.f64 -1 (/.f64 (fma.f64 -1 beta -1) alpha) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 beta 2) (fma.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 1) (*.f64 (*.f64 -2 (fma.f64 -1 beta -1)) (+.f64 beta 2)))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 beta -1)))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (*.f64 (*.f64 -2 (fma.f64 -1 beta -1)) (+.f64 beta 2))))) (pow.f64 alpha 4)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 beta -1)) (pow.f64 alpha 3)))))) (/.f64 (*.f64 (*.f64 -2 (fma.f64 -1 beta -1)) (+.f64 beta 2)) (*.f64 alpha alpha))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
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1
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1
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(/.f64 (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)) (fma.f64 beta alpha -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 beta alpha) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha)))))
(/.f64 (-.f64 -1 (pow.f64 (*.f64 beta alpha) 3)) (-.f64 (neg.f64 (pow.f64 (*.f64 beta alpha) 2)) (-.f64 1 (*.f64 beta alpha))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1)) (neg.f64 (fma.f64 alpha beta -1)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2))) (neg.f64 (fma.f64 alpha beta -1)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 beta alpha) 2)) (neg.f64 (fma.f64 beta alpha -1)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 alpha beta) 2)) (-.f64 1 (*.f64 alpha beta)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 beta alpha) 2)) (-.f64 1 (*.f64 beta alpha)))
(pow.f64 (fma.f64 alpha beta 1) 1)
(fma.f64 beta alpha 1)
(pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 3)
(fma.f64 beta alpha 1)
(pow.f64 (sqrt.f64 (fma.f64 alpha beta 1)) 2)
(fma.f64 beta alpha 1)
(pow.f64 (pow.f64 (fma.f64 alpha beta 1) 3) 1/3)
(fma.f64 beta alpha 1)
(sqrt.f64 (pow.f64 (fma.f64 alpha beta 1) 2))
(sqrt.f64 (pow.f64 (fma.f64 beta alpha 1) 2))
(fabs.f64 (fma.f64 beta alpha 1))
(log.f64 (exp.f64 (fma.f64 alpha beta 1)))
(fma.f64 beta alpha 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 alpha beta 1))))
(fma.f64 beta alpha 1)
(cbrt.f64 (pow.f64 (fma.f64 alpha beta 1) 3))
(fma.f64 beta alpha 1)
(expm1.f64 (log1p.f64 (fma.f64 alpha beta 1)))
(fma.f64 beta alpha 1)
(log1p.f64 (expm1.f64 (fma.f64 alpha beta 1)))
(fma.f64 beta alpha 1)
(exp.f64 (log1p.f64 (*.f64 alpha beta)))
(exp.f64 (log1p.f64 (*.f64 beta alpha)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 alpha beta)) 1))
(exp.f64 (log1p.f64 (*.f64 beta alpha)))
(fma.f64 alpha beta 1)
(fma.f64 beta alpha 1)
(fma.f64 beta alpha 1)
(fma.f64 1 (*.f64 alpha beta) 1)
(fma.f64 beta alpha 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 alpha beta)) 2) (cbrt.f64 (*.f64 alpha beta)) 1)
(fma.f64 beta alpha 1)
(fma.f64 (sqrt.f64 (*.f64 alpha beta)) (sqrt.f64 (*.f64 alpha beta)) 1)
(fma.f64 beta alpha 1)

localize34.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
0.1b
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
4.1b
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
Compiler

Compiled 124 to 60 computations (51.6% saved)

series12.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite83.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
544×fma-neg_binary64
312×log1p-udef_binary64
310×expm1-udef_binary64
245×log-pow_binary64
183×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01593
134975
2577175
Stop Event
node limit
Counts
3 → 119
Calls
Call 1
Inputs
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 alpha (+.f64 beta 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 1 (+.f64 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simplify150.0ms (0.9%)

Algorithm
egg-herbie
Rules
872×distribute-rgt-in_binary64
860×distribute-lft-in_binary64
532×fma-def_binary64
322×times-frac_binary64
225×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085612238
1300511712
Stop Event
node limit
Counts
191 → 376
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))
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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 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha))
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(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
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(/.f64 (+.f64 1 alpha) beta)
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 1)
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(*.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (*.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
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(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (-.f64 beta 2)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 3)
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 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)) (+.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 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 (/.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 (/.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 (/.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 beta (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(+.f64 beta (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha)))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(+.f64 beta (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (-.f64 (/.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) alpha) (/.f64 (+.f64 beta 2) alpha))))) (/.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 beta (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha)) (/.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(+.f64 beta (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (-.f64 (/.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) alpha) (/.f64 (+.f64 beta 2) 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 -1 (-.f64 (*.f64 -1 beta) 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)))
(fma.f64 -1 (fma.f64 -1 beta -1) (neg.f64 (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) alpha)))
(+.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 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))))
(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 beta 1) (+.f64 (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) alpha) (*.f64 (/.f64 (+.f64 (fma.f64 beta -1 -1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) alpha) (/.f64 (+.f64 beta 2) alpha))))
(+.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 (+.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 (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) alpha) (*.f64 (/.f64 (+.f64 (fma.f64 beta -1 -1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) alpha) (/.f64 (+.f64 beta 2) alpha)))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 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)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 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))))) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (/.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 2 alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (/.f64 (-.f64 -1 alpha) (/.f64 beta (+.f64 2 alpha)))))
(-.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 1 beta) (-.f64 (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (neg.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 2 alpha))))) (*.f64 beta beta)))))) (/.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 2 alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (+.f64 (/.f64 alpha beta) (+.f64 1 (-.f64 alpha (*.f64 (/.f64 (+.f64 1 (+.f64 alpha (*.f64 (+.f64 2 alpha) (-.f64 -1 alpha)))) beta) (/.f64 (+.f64 2 alpha) beta))))) (/.f64 (-.f64 -1 alpha) (/.f64 beta (+.f64 2 alpha)))))
(-.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 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (+.f64 alpha (neg.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 2 alpha))))) (*.f64 beta beta)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))))))))) (/.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 1 (+.f64 alpha (*.f64 (+.f64 2 alpha) (-.f64 -1 alpha)))) beta) (/.f64 (+.f64 2 alpha) beta))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (+.f64 1 (+.f64 alpha (*.f64 (+.f64 2 alpha) (-.f64 -1 alpha))))))))) (/.f64 (-.f64 -1 alpha) (/.f64 beta (+.f64 2 alpha)))))
(*.f64 -1 (-.f64 (*.f64 -1 alpha) 1))
(neg.f64 (fma.f64 -1 alpha -1))
(neg.f64 (-.f64 -1 alpha))
(+.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)))
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (fma.f64 -1 alpha -1))) beta) (neg.f64 (fma.f64 -1 alpha -1)))
(-.f64 (neg.f64 (-.f64 -1 alpha)) (/.f64 (-.f64 (-.f64 -1 alpha) (*.f64 (+.f64 2 alpha) (-.f64 -1 alpha))) beta))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1))) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (*.f64 -1 (-.f64 (*.f64 -1 alpha) 1))))
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (fma.f64 -1 alpha -1))) beta) (+.f64 (neg.f64 (fma.f64 -1 alpha -1)) (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (neg.f64 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (fma.f64 -1 alpha -1)))) (*.f64 beta beta))))
(-.f64 (-.f64 (*.f64 (/.f64 (-.f64 (-.f64 -1 alpha) (*.f64 (+.f64 2 alpha) (-.f64 -1 alpha))) beta) (/.f64 (+.f64 2 alpha) beta)) (-.f64 -1 alpha)) (/.f64 (-.f64 (-.f64 -1 alpha) (*.f64 (+.f64 2 alpha) (-.f64 -1 alpha))) beta))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
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(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
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(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1)
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha)) 2)) (*.f64 (/.f64 1 (+.f64 (+.f64 beta 2) alpha)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha)) 2)) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha))) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 2))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 beta alpha)))) (+.f64 (+.f64 beta 2) alpha)) 2)
(*.f64 (/.f64 (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) (/.f64 (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (-.f64 (neg.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 (+.f64 beta 2) alpha)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 1) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 2)) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha)) 2)) (*.f64 (/.f64 1 (+.f64 (+.f64 beta 2) alpha)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha)) 2)) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha))) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (/.f64 (/.f64 1 (+.f64 (+.f64 beta 2) alpha)) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha)) 2)) (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha))) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha)) 2)) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))
(/.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha)) (+.f64 alpha (+.f64 beta -2))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1)
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3) 1/3)
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 3)
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 beta alpha)))) (+.f64 (+.f64 beta 2) alpha)) 2)
(pow.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) -1)
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(neg.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) (/.f64 (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (-.f64 (neg.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 (+.f64 beta 2) alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) 2))
(fabs.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 beta alpha))) (*.f64 2 (log.f64 (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (exp.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 beta alpha)))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1))
(exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 beta alpha))) (*.f64 2 (log.f64 (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (exp.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 beta alpha)))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))

eval1.5s (8.9%)

Compiler

Compiled 66373 to 47407 computations (28.6% saved)

prune407.0ms (2.5%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New1160251185
Fresh000
Picked101
Done112
Total1162261188
Error
0.2b
Counts
1188 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
29.4b
(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (/.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 2 alpha))))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
5.5b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 2 alpha) (*.f64 beta 2))))) (+.f64 (+.f64 alpha beta) 3))
34.0b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 (*.f64 beta beta) (*.f64 2 (*.f64 beta (+.f64 2 alpha))))) (+.f64 (+.f64 alpha beta) 3))
34.9b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
62.7b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
5.4b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
5.4b
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 alpha beta) 3))
62.6b
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
24.9b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
29.3b
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
29.9b
(/.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta))) (*.f64 2 (*.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 (+.f64 2 alpha) beta)))) (+.f64 (+.f64 alpha beta) 3))
10.7b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
61.1b
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
32.7b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
5.2b
(/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 (+.f64 alpha beta) 3))
41.4b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (pow.f64 beta 3))
11.7b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (-.f64 beta alpha) -2)) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 3 (+.f64 alpha beta)))))
11.7b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 3 alpha) beta) 2))))
11.7b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
33.6b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
62.1b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
48.7b
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
3.2b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
1.8b
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
9.5b
(*.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))
5.5b
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
Compiler

Compiled 1237 to 847 computations (31.5% saved)

localize109.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))
0.1b
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
4.2b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
12.7b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
Compiler

Compiled 112 to 76 computations (32.1% saved)

series61.0ms (0.4%)

Counts
4 → 48
Calls

24 calls:

TimeVariablePointExpression
26.0ms
beta
@0
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
4.0ms
beta
@0
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
4.0ms
alpha
@-inf
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
2.0ms
alpha
@0
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
2.0ms
beta
@-inf
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))

rewrite100.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
398×fma-neg_binary64
366×log1p-udef_binary64
365×expm1-udef_binary64
213×add-sqr-sqrt_binary64
207×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017116
141197
2662197
Stop Event
node limit
Counts
4 → 173
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 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simplify187.0ms (1.1%)

Algorithm
egg-herbie
Rules
835×times-frac_binary64
822×distribute-rgt-in_binary64
644×fma-def_binary64
273×*-commutative_binary64
169×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090113427
1315112133
Stop Event
node limit
Counts
221 → 356
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (+.f64 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))))) (pow.f64 beta 2))))
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (+.f64 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (sqrt.f64 (+.f64 3 alpha)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 3 alpha)))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))))) (pow.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))
(+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))))))
(+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (+.f64 beta 3)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 3)))) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))))))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))))) (pow.f64 alpha 2))))
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(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (+.f64 (neg.f64 alpha) -1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (+.f64 (neg.f64 beta) -1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(pow.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3) (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3) (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1))
(+.f64 (*.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(+.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (*.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(+.f64 (*.f64 (+.f64 alpha 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (*.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) alpha) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (+.f64 beta 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) alpha))
(+.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha 2)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) beta))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (sqrt.f64 (+.f64 beta (+.f64 alpha 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)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (-.f64 (-.f64 alpha 2) beta))
(/.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha 2) beta))
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 2)
(sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 1))
Outputs
(*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))))
(/.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 2 alpha))
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))
(fma.f64 beta (fma.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))))) (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3)))))
(fma.f64 beta (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 2 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (+.f64 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))))) (pow.f64 beta 2))))
(fma.f64 beta (fma.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))))) (fma.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 alpha 3)))))) (*.f64 beta beta))))
(fma.f64 beta (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 alpha 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 beta beta) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 2 alpha))))
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (+.f64 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (sqrt.f64 (+.f64 3 alpha)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 3 alpha)))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))))) (pow.f64 beta 2)))))
(fma.f64 beta (fma.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))))) (fma.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (fma.f64 (pow.f64 beta 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (sqrt.f64 (+.f64 alpha 3)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 alpha 3)))) (+.f64 2 alpha))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))) (*.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 alpha 3)))))) (*.f64 beta beta)))))
(+.f64 (fma.f64 beta (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 2 alpha))) (fma.f64 (pow.f64 beta 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)))) (*.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 alpha 3)) (/.f64 1 (pow.f64 (+.f64 alpha 3) 4))) (+.f64 2 alpha))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 4)))))) (*.f64 (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 alpha 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 beta beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))))
(+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))
(fma.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 alpha (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))))))
(fma.f64 alpha (-.f64 (*.f64 (*.f64 -1/2 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta)))))
(+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))))))
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 1/2 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (/.f64 (+.f64 2 beta) (+.f64 1 beta))) (sqrt.f64 (+.f64 3 beta))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))))) (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 alpha (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))))))))
(fma.f64 (fma.f64 1/2 (fma.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (/.f64 (+.f64 2 beta) (+.f64 1 beta))) (sqrt.f64 (+.f64 3 beta)) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)))) (*.f64 alpha alpha) (fma.f64 alpha (-.f64 (*.f64 (*.f64 -1/2 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))))))
(+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (+.f64 beta 3)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 3)))) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))))))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))))
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 1/2 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (/.f64 (+.f64 2 beta) (+.f64 1 beta))) (sqrt.f64 (+.f64 3 beta))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))))) (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (fma.f64 (pow.f64 alpha 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))) (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (+.f64 3 beta)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 3 beta)))) (/.f64 (+.f64 2 beta) (+.f64 1 beta)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 4)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))))) (*.f64 alpha (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))))))))
(fma.f64 (fma.f64 1/2 (fma.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (/.f64 (+.f64 2 beta) (+.f64 1 beta))) (sqrt.f64 (+.f64 3 beta)) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)))) (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (fma.f64 (pow.f64 alpha 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))) (-.f64 (*.f64 (sqrt.f64 (+.f64 3 beta)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)))) (*.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 3 beta)) (/.f64 1 (pow.f64 (+.f64 3 beta) 4))) (/.f64 (+.f64 2 beta) (+.f64 1 beta)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 4)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))) (*.f64 alpha (-.f64 (*.f64 (*.f64 -1/2 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 1 (+.f64 2 beta)))
(/.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 2 beta))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 1 (+.f64 2 beta)) (*.f64 alpha (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 1 (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))))))
(fma.f64 alpha (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 2 beta)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 2 beta)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))))) (pow.f64 alpha 2))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 1 (+.f64 2 beta)) (fma.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 1 (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) alpha (*.f64 (*.f64 alpha alpha) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))))))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 2 beta)) (fma.f64 (*.f64 alpha alpha) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 2 beta))) (sqrt.f64 (+.f64 3 beta))))) (*.f64 alpha (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 2 beta)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2))) (sqrt.f64 (+.f64 beta 3)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 3)))) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))))) (pow.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 1 (+.f64 2 beta)) (fma.f64 (pow.f64 alpha 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 3 beta)))) (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 4))))))) (fma.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 1 (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) alpha (*.f64 (*.f64 alpha alpha) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))))))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 2 beta)) (fma.f64 (pow.f64 alpha 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (*.f64 (sqrt.f64 (+.f64 3 beta)) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) (*.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 3 beta)) (/.f64 1 (pow.f64 (+.f64 3 beta) 4))) (+.f64 2 beta))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 4)))))) (fma.f64 (*.f64 alpha alpha) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 2 beta))) (sqrt.f64 (+.f64 3 beta))))) (*.f64 alpha (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 2 beta)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))))))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))
(fma.f64 beta (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))
(fma.f64 beta (-.f64 (*.f64 (*.f64 -1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))
(+.f64 (*.f64 beta (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))))))
(fma.f64 beta (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (fma.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 2 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))))))))
(fma.f64 beta (-.f64 (*.f64 (*.f64 -1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (*.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 2 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2))))) (sqrt.f64 (+.f64 alpha 3))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))))
(+.f64 (*.f64 beta (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 3 alpha))))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))))))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))))))
(fma.f64 beta (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (fma.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (fma.f64 (pow.f64 beta 3) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))) (*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (sqrt.f64 (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 2 alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 alpha 3))))))))))) (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 2 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)))))))))
(fma.f64 beta (-.f64 (*.f64 (*.f64 -1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (fma.f64 (pow.f64 beta 3) (-.f64 (*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))) (*.f64 (sqrt.f64 (+.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 2 alpha) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 alpha 3)) (/.f64 1 (pow.f64 (+.f64 alpha 3) 4))))))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (*.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 2 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2))))) (sqrt.f64 (+.f64 alpha 3)))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
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(*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3)))
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(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 alpha 3) beta)))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) (+.f64 (+.f64 2 alpha) beta)) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 alpha 3) beta)))
(pow.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1)
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 3) beta)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 3) 1/3)
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 3) beta)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 3)
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 3) beta)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha))) (*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 3) beta)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))) 2))
(fabs.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 3) beta)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))))
(log.f64 (exp.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 3) beta)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 3) beta)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 3))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 3) beta)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3) (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) 3) (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) 3) (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3) (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) 3) (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) 3) (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 3) beta)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 3) beta)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(exp.f64 (log.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 3) beta)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 3) beta)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(+.f64 (*.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)) (+.f64 alpha (+.f64 2 beta)))
(+.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (*.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)) (+.f64 alpha (+.f64 2 beta)))
(+.f64 (*.f64 (+.f64 alpha 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (*.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) alpha) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (+.f64 beta 2)))
(*.f64 (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)) (+.f64 alpha (+.f64 2 beta)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) alpha))
(*.f64 (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)) (+.f64 alpha (+.f64 2 beta)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha 2)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) beta))
(*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))) 1)
(*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))))
(/.f64 (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (-.f64 (-.f64 alpha 2) beta))
(/.f64 (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)) (/.f64 (-.f64 alpha (+.f64 2 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))))
(/.f64 (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha 2) beta))
(/.f64 (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)) (/.f64 (-.f64 alpha (+.f64 2 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 1)
(*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3) 1/3)
(*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 3)
(*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 2)
(*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))
(sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(sqrt.f64 (*.f64 (+.f64 (+.f64 alpha 3) beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))
(*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3))
(*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 3) (pow.f64 (+.f64 (+.f64 alpha 3) beta) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 3) (pow.f64 (+.f64 (+.f64 alpha 3) beta) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))
(exp.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 1))
(*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.3b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite42.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
809×pow1_binary64
757×add-log-exp_binary64
756×log1p-expm1-u_binary64
756×expm1-log1p-u_binary64
740×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114910
2205510
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 2) (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 (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 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 beta (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -2) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))))) (#(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 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 beta 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 (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 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 (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 *.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 pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)))) (#(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 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 3)))) (#(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 (/.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 cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 beta beta) 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 log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 alpha) (log.f64 (pow.f64 beta -2))))))))

simplify62.0ms (0.4%)

Algorithm
egg-herbie
Rules
337×unswap-sqr_binary64
292×times-frac_binary64
252×associate-/l*_binary64
246×associate-*l/_binary64
214×cube-div_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
096895
1258887
2825737
34333590
47994590
Stop Event
node limit
Counts
56 → 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 (+.f64 1 (*.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 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 2) (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 (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 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 beta beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 beta beta)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) beta) (/.f64 (cbrt.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 (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 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 beta) 2)))
(pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) 2)
(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)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 beta beta) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(exp.f64 (+.f64 (log1p.f64 alpha) (log.f64 (pow.f64 beta -2))))
Outputs
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(-.f64 (+.f64 1 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 1)
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 2) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.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 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 beta beta)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 beta beta)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (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))))
(*.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)))
(pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 beta beta) 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(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 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha 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) (log.f64 (pow.f64 beta -2))))
(exp.f64 (+.f64 (log1p.f64 alpha) (*.f64 -2 (log.f64 beta))))
(*.f64 (pow.f64 beta -2) (exp.f64 (log1p.f64 alpha)))
(exp.f64 (fma.f64 -2 (log.f64 beta) (log1p.f64 alpha)))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 alpha beta) 1)
0.2b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
17.0b
(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 beta beta))
Compiler

Compiled 66 to 25 computations (62.1% saved)

series15.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite68.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
476×fma-neg_binary64
334×log-div_binary64
281×log1p-udef_binary64
279×expm1-udef_binary64
223×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01343
131343
2509543
Stop Event
node limit
Counts
2 → 76
Calls
Call 1
Inputs
(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
Outputs
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(pow.f64 (+.f64 alpha beta) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (*.f64 (+.f64 alpha beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (+.f64 alpha (-.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) (+.f64 -3 (neg.f64 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))) 1))))))

simplify103.0ms (0.6%)

Algorithm
egg-herbie
Rules
806×unswap-sqr_binary64
223×sub-neg_binary64
217×log-prod_binary64
216×div-sub_binary64
211×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04174480
113044357
253254326
Stop Event
node limit
Counts
124 → 197
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (pow.f64 beta 2))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) alpha)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) alpha)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) alpha)))
(/.f64 (*.f64 (+.f64 beta 1) alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 beta 1) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 beta 1) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 beta 1) alpha) (pow.f64 beta 2))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) alpha) (pow.f64 beta 2)))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) alpha) (pow.f64 beta 2))) (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) alpha) (pow.f64 beta 2))) (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) alpha) (pow.f64 beta 2))) (/.f64 1 (pow.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta))))
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))) alpha) (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))) alpha) (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))) (pow.f64 alpha 2)) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3))))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))) alpha) (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3)))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 4))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 4))))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))) (pow.f64 alpha 2)) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))))
(/.f64 (+.f64 beta 1) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) alpha)) (/.f64 1 (*.f64 beta alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 beta 2) alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) alpha)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 beta 2))) (+.f64 beta 3)) (pow.f64 alpha 2))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 beta 2) alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) alpha)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 beta 2))) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 beta 2))) (+.f64 beta 3)) (pow.f64 alpha 2)))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 beta 2) alpha)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 3)) (pow.f64 beta 2))) alpha)))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 3)) (pow.f64 beta 2))) (+.f64 beta 3)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 3)) (pow.f64 beta 2))) alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 3)) (pow.f64 beta 2))) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 beta 3) (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 3)) (pow.f64 beta 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 3)) (pow.f64 beta 2))) alpha)))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 3 alpha)))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 3 alpha)))))) (+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 3 alpha) 2)))))
(-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 3)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))))) (+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 3 alpha) 2)))))))
(-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 3)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 3 alpha))) (*.f64 beta (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))))))))) (+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 3 alpha) 2)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 5)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (-.f64 (*.f64 -1 alpha) 1) (+.f64 3 alpha))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (-.f64 (*.f64 -1 alpha) 1) (+.f64 3 alpha))) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 alpha) (-.f64 (*.f64 -1 alpha) 1))) (+.f64 3 alpha)) (pow.f64 beta 4)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (-.f64 (*.f64 -1 alpha) 1) (+.f64 3 alpha))) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 alpha) (-.f64 (*.f64 -1 alpha) 1))) (+.f64 3 alpha)) (pow.f64 beta 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (-.f64 (*.f64 -1 alpha) 1) (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)))) 1)
(*.f64 1 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))
(*.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 beta -2)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))) 2) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 beta -2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) beta) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) beta))
(*.f64 (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(*.f64 (pow.f64 beta -2) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) beta) (/.f64 1 beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (*.f64 beta beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (*.f64 beta beta)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) beta) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) beta))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 (cbrt.f64 beta) 2)))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) beta) 2)
(pow.f64 (/.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) -1)
(neg.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 beta (neg.f64 beta))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 beta -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 3) (pow.f64 (*.f64 beta beta) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))))) 1)
(*.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (/.f64 1 (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (pow.f64 beta -2) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) beta) (*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) beta) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (neg.f64 (pow.f64 beta -2))) (/.f64 1 (+.f64 -3 (neg.f64 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (*.f64 beta beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 1) (/.f64 (pow.f64 beta -2) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) beta) 1) (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (pow.f64 beta -2) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (pow.f64 beta -2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (*.f64 (+.f64 alpha beta) 3)))
(*.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (+.f64 alpha (-.f64 beta 3)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))) 3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))) -1)
(neg.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) (+.f64 -3 (neg.f64 (+.f64 alpha beta)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))) 1))
Outputs
(/.f64 (+.f64 beta 1) (pow.f64 beta 2))
(/.f64 (+.f64 beta 1) (*.f64 beta beta))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) alpha)))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta beta))) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta beta))) alpha))
(*.f64 (+.f64 1 alpha) (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) alpha)))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta beta))) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta beta))) alpha))
(*.f64 (+.f64 1 alpha) (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) alpha)))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta beta))) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta beta))) alpha))
(*.f64 (+.f64 1 alpha) (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta beta))))
(/.f64 (*.f64 (+.f64 beta 1) alpha) (pow.f64 beta 2))
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta))
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) alpha)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 beta 1) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 1 beta) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) alpha)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 beta 1) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 1 beta) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) alpha)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 beta 1) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 1 beta) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) alpha)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) alpha) (pow.f64 beta 2)))
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta))
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) alpha)
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) alpha) (pow.f64 beta 2))) (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 1 beta) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) alpha)))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) alpha) (pow.f64 beta 2))) (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 1 beta) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) alpha)))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) alpha) (pow.f64 beta 2))) (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 1 beta) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) alpha)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (*.f64 beta beta)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (*.f64 beta beta)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (*.f64 beta beta)))))
(/.f64 (+.f64 1 alpha) beta)
(+.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 beta) (/.f64 alpha beta)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (*.f64 beta beta)))))
(+.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 beta) (/.f64 alpha beta)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (*.f64 beta beta)))))
(+.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 beta) (/.f64 alpha beta)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (*.f64 beta beta)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) (neg.f64 (/.f64 (fma.f64 -1 alpha -1) beta)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 1 alpha) beta)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) (neg.f64 (/.f64 (fma.f64 -1 alpha -1) beta)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 1 alpha) beta)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) (neg.f64 (/.f64 (fma.f64 -1 alpha -1) beta)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 beta beta) (+.f64 beta 3)))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))) alpha) (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))
(fma.f64 (+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (-.f64 (/.f64 1 (*.f64 (*.f64 beta beta) (+.f64 beta 3))) (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))))) alpha (+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 1 (*.f64 (*.f64 beta beta) (+.f64 beta 3)))))
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(/.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) (+.f64 alpha (+.f64 beta -3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (pow.f64 beta -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 beta (-.f64 alpha 3))))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (pow.f64 beta -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 beta (+.f64 alpha -3))))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))) 1)
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (/.f64 (pow.f64 beta -2) (+.f64 beta (+.f64 alpha 3))))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))) 3) 1/3)
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (/.f64 (pow.f64 beta -2) (+.f64 beta (+.f64 alpha 3))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))) 3)
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (/.f64 (pow.f64 beta -2) (+.f64 beta (+.f64 alpha 3))))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) beta)) 2)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1)))) (*.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 2)
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))) -1)
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (/.f64 (pow.f64 beta -2) (+.f64 beta (+.f64 alpha 3))))
(neg.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) (+.f64 -3 (neg.f64 (+.f64 alpha beta)))))
(*.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (neg.f64 (pow.f64 beta -2))) (/.f64 1 (-.f64 -3 (+.f64 beta alpha))))
(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (/.f64 (-.f64 -3 (+.f64 beta alpha)) (neg.f64 (pow.f64 beta -2))))
(*.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (/.f64 (neg.f64 (pow.f64 beta -2)) (-.f64 -3 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))) 2))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (/.f64 (pow.f64 beta -2) (+.f64 beta (+.f64 alpha 3))))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (/.f64 (pow.f64 beta -2) (+.f64 beta (+.f64 alpha 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (/.f64 (pow.f64 beta -2) (+.f64 beta (+.f64 alpha 3))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3)))) 3))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (/.f64 (pow.f64 beta -2) (+.f64 beta (+.f64 alpha 3))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 beta -2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (/.f64 (pow.f64 beta -2) (+.f64 beta (+.f64 alpha 3))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (/.f64 (pow.f64 beta -2) (+.f64 beta (+.f64 alpha 3))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (/.f64 (pow.f64 beta -2) (+.f64 beta (+.f64 alpha 3))))
(exp.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (/.f64 (pow.f64 beta -2) (+.f64 beta (+.f64 alpha 3))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))) 1))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 beta beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 beta (+.f64 alpha (fma.f64 beta alpha 1))) (/.f64 (pow.f64 beta -2) (+.f64 beta (+.f64 alpha 3))))

localize85.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta)))
0.0b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
0.0b
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
3.2b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
Compiler

Compiled 89 to 59 computations (33.7% saved)

series19.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite123.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
410×fma-neg_binary64
363×log1p-udef_binary64
362×expm1-udef_binary64
210×add-sqr-sqrt_binary64
205×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01688
139882
2673482
Stop Event
node limit
Counts
4 → 187
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 2 beta))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 3 beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 3 beta))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 2))) (/.f64 (+.f64 1 alpha) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 2))) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 2))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta))) (+.f64 alpha (-.f64 3 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 1))))))
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simplify201.0ms (1.2%)

Algorithm
egg-herbie
Rules
893×times-frac_binary64
760×fma-def_binary64
270×*-commutative_binary64
206×+-commutative_binary64
142×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098313208
1379612359
Stop Event
node limit
Counts
283 → 456
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(/.f64 1 (+.f64 2 alpha))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
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1
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(/.f64 (+.f64 beta 1) (+.f64 beta 2))
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 beta 1) alpha)
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))) 1)
(*.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))
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(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) 1)
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(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 3)))))
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(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha)))))
(exp.f64 (log.f64 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))) 1)
(*.f64 1 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (+.f64 1 beta) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (+.f64 (neg.f64 beta) -1) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 1 beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))))
(*.f64 (/.f64 (+.f64 1 beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (-.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) 2)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) -1)
(neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 (+.f64 alpha (+.f64 2 beta)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 2 beta)))) 1))
Outputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))
(fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha)))
(-.f64 (fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (*.f64 beta 2) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (neg.f64 (/.f64 (+.f64 5 (*.f64 beta 2)) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2)))))))) (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))))
(fma.f64 (-.f64 (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 3))))) (pow.f64 alpha 3) (-.f64 (fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (/.f64 1 alpha))
(-.f64 (/.f64 1 alpha) (/.f64 (fma.f64 beta 2 4) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 (*.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(-.f64 (-.f64 (/.f64 1 alpha) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 (fma.f64 beta 2 5) (neg.f64 (fma.f64 beta 2 4)))) (pow.f64 alpha 3))) (/.f64 (fma.f64 beta 2 4) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 5 (*.f64 beta 2)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 (*.f64 beta 2) 4))))) (*.f64 (+.f64 (neg.f64 beta) -3) (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta 2) 4)))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 (*.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(-.f64 (-.f64 (-.f64 (/.f64 1 alpha) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 (fma.f64 beta 2 5) (neg.f64 (fma.f64 beta 2 4)))) (pow.f64 alpha 3))) (/.f64 (neg.f64 (fma.f64 (fma.f64 beta 2 5) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 (fma.f64 beta 2 5) (neg.f64 (fma.f64 beta 2 4)))) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (fma.f64 beta 2 4))))) (pow.f64 alpha 4))) (/.f64 (fma.f64 beta 2 4) (*.f64 alpha alpha)))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 1 alpha) (/.f64 (neg.f64 (fma.f64 -1 (+.f64 beta 2) (+.f64 (neg.f64 beta) -3))) (*.f64 alpha alpha))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (-.f64 (fma.f64 beta -1 -3) (+.f64 beta 2)) (*.f64 alpha alpha))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (fma.f64 -1 (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (+.f64 (/.f64 1 alpha) (/.f64 (fma.f64 -1 (+.f64 beta 2) (+.f64 (neg.f64 beta) -3)) (/.f64 (pow.f64 alpha 3) (-.f64 1 (neg.f64 (fma.f64 -1 (+.f64 beta 2) (+.f64 (neg.f64 beta) -3)))))))) (/.f64 (neg.f64 (fma.f64 -1 (+.f64 beta 2) (+.f64 (neg.f64 beta) -3))) (*.f64 alpha alpha))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
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(*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (+.f64 1 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta)) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha))))))
(*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (+.f64 1 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta)) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha))) 3))
(*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (+.f64 1 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta)) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 3)))
(*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (+.f64 1 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta)) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) 3)))
(*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (+.f64 1 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta)) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha)))))
(*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (+.f64 1 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta)) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha)))))
(*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (+.f64 1 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta)) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(exp.f64 (log.f64 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha)))))
(*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (+.f64 1 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta)) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha)))) 1))
(*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (+.f64 1 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) beta)) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))) 1)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(*.f64 1 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(*.f64 (+.f64 1 beta) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 1)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(*.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(*.f64 (+.f64 (neg.f64 beta) -1) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 1 beta))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (*.f64 1 (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2))
(/.f64 (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))) (+.f64 1 beta)) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))))
(*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(*.f64 (/.f64 (+.f64 1 beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (-.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (+.f64 1 beta) (-.f64 alpha (+.f64 beta 2))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 1)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 3) 1/3)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) 3)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) 2)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) -1)
(/.f64 1 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 beta)))
(neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha)) 2))
(fabs.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha)))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 3))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (exp.f64 (log1p.f64 beta)) (+.f64 (+.f64 beta 2) alpha))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 2 beta)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (exp.f64 (log1p.f64 beta)) (+.f64 (+.f64 beta 2) alpha))

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
11.6b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (pow.f64 beta 3))
Compiler

Compiled 33 to 23 computations (30.3% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite79.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
552×log-prod_binary64
410×pow-prod-down_binary64
338×prod-diff_binary64
334×fma-def_binary64
279×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
123116
2326416
Stop Event
node limit
Counts
1 → 54
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (pow.f64 beta 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (/.f64 (pow.f64 beta 3) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 1) (pow.f64 beta -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (pow.f64 beta -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 2) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta 3/2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (neg.f64 (+.f64 1 alpha))) (/.f64 1 (neg.f64 (pow.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -3) (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) beta) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (+.f64 beta 1) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 beta 1) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (/.f64 (+.f64 1 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) beta) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 beta beta)) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (+.f64 beta 1) (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (pow.f64 beta 3)) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -2) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (*.f64 beta beta)) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -3/2) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (pow.f64 beta 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (pow.f64 beta 3/2)) (/.f64 (+.f64 1 alpha) (pow.f64 beta 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3/2)) (/.f64 (+.f64 beta 1) (pow.f64 beta 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (pow.f64 beta 3/2)) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 beta 3) (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) (pow.f64 beta 9)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 beta 3) (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (neg.f64 (pow.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 9))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) (pow.f64 beta 9)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)) (*.f64 -3 (log.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)) (*.f64 -3 (log.f64 beta))) 1))))))

simplify90.0ms (0.5%)

Algorithm
egg-herbie
Rules
748×times-frac_binary64
546×associate-/l*_binary64
490×associate-*l/_binary64
465×distribute-rgt-in_binary64
458×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01671675
14431557
214291397
Stop Event
node limit
Counts
78 → 88
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (pow.f64 beta 3))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.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 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 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 1 alpha) (pow.f64 beta 2))
(+.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 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 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 beta 1) (pow.f64 beta 3))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 1 (pow.f64 beta 3))) alpha)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 1 (pow.f64 beta 3))) alpha)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 1 (pow.f64 beta 3))) alpha)))
(/.f64 (*.f64 (+.f64 beta 1) alpha) (pow.f64 beta 3))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3))))
(/.f64 (*.f64 (+.f64 beta 1) alpha) (pow.f64 beta 3))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3))))
(+.f64 0 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))) 1)
(*.f64 1 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))
(*.f64 (+.f64 beta 1) (/.f64 1 (/.f64 (pow.f64 beta 3) (+.f64 1 alpha))))
(*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3)))
(*.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 1) (pow.f64 beta -3)))
(*.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (pow.f64 beta -3))
(*.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))) 1)
(*.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 2) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta -3)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta 3/2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta 3/2)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta -3)))
(*.f64 (*.f64 (+.f64 beta 1) (neg.f64 (+.f64 1 alpha))) (/.f64 1 (neg.f64 (pow.f64 beta 3))))
(*.f64 (pow.f64 beta -3) (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))
(*.f64 (/.f64 1 beta) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 beta 1) beta) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (+.f64 beta 1) beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 beta 1) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (/.f64 (+.f64 1 alpha) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) beta) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 beta beta)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 beta beta)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 beta beta)) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta))
(*.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (+.f64 beta 1) (pow.f64 beta 3)))
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 beta 3)) (+.f64 1 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta 3)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta 3)))
(*.f64 (pow.f64 beta -2) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (*.f64 beta beta)) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta))
(*.f64 (pow.f64 beta -3/2) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (pow.f64 beta 3/2)))
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 beta 3/2)) (/.f64 (+.f64 1 alpha) (pow.f64 beta 3/2)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3/2)) (/.f64 (+.f64 beta 1) (pow.f64 beta 3/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (pow.f64 beta 3/2)) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta 3/2)))
(pow.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))) 1)
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 6) 1/2)
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 9) 1/3)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta 3/2)) 2)
(pow.f64 (/.f64 (pow.f64 beta 3) (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) (pow.f64 beta 9)) 1/3)
(pow.f64 (/.f64 (/.f64 (pow.f64 beta 3) (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 1) -1)
(neg.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (neg.f64 (pow.f64 beta 3))))
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 6))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 9))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) (pow.f64 beta 9)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3)))))
(exp.f64 (+.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)) (*.f64 -3 (log.f64 beta))))
(exp.f64 (*.f64 (+.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)) (*.f64 -3 (log.f64 beta))) 1))
Outputs
(/.f64 (+.f64 1 alpha) (pow.f64 beta 3))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))
(*.f64 (+.f64 1 alpha) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))
(*.f64 (+.f64 1 alpha) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))
(*.f64 (+.f64 1 alpha) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (pow.f64 beta 3))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(+.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 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))
(*.f64 (+.f64 1 alpha) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (pow.f64 beta 3))))
(+.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 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))
(*.f64 (+.f64 1 alpha) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (pow.f64 beta 3))))
(+.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 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))
(*.f64 (+.f64 1 alpha) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (pow.f64 beta 3))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(+.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 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))
(*.f64 (+.f64 1 alpha) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (pow.f64 beta 3))))
(+.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 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))
(*.f64 (+.f64 1 alpha) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (pow.f64 beta 3))))
(+.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)))))
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(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (pow.f64 beta 3)))
(pow.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))) 1)
(*.f64 (+.f64 1 beta) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3)))
(*.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 beta) (pow.f64 beta -3)))
(*.f64 (pow.f64 beta -3) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 6) 1/2)
(*.f64 (+.f64 1 beta) (*.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 1 beta))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (pow.f64 beta 3)))
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 9) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta))) beta) 9))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 3)
(*.f64 (+.f64 1 beta) (*.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 1 beta))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (pow.f64 beta 3)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 beta 3/2)) 2)
(*.f64 (+.f64 1 beta) (*.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 1 beta))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (pow.f64 beta 3)))
(pow.f64 (/.f64 (pow.f64 beta 3) (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) -1)
(*.f64 (+.f64 1 beta) (*.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 1 beta))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (pow.f64 beta 3)))
(pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) (pow.f64 beta 9)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) 3) (pow.f64 beta 9)))
(pow.f64 (/.f64 (/.f64 (pow.f64 beta 3) (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 1) -1)
(*.f64 (+.f64 1 beta) (*.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 1 beta))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (pow.f64 beta 3)))
(neg.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (neg.f64 (pow.f64 beta 3))))
(*.f64 (+.f64 1 beta) (*.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 1 beta))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (pow.f64 beta 3)))
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 6))
(*.f64 (+.f64 1 beta) (*.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 1 beta))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (pow.f64 beta 3)))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))
(*.f64 (+.f64 1 beta) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3)))
(*.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 beta) (pow.f64 beta -3)))
(*.f64 (pow.f64 beta -3) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3))))))
(*.f64 (+.f64 1 beta) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3)))
(*.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 beta) (pow.f64 beta -3)))
(*.f64 (pow.f64 beta -3) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) beta) 9))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta))) beta) 9))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) (pow.f64 beta 9)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) 3) (pow.f64 beta 9)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3)))))
(*.f64 (+.f64 1 beta) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3)))
(*.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 beta) (pow.f64 beta -3)))
(*.f64 (pow.f64 beta -3) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3)))))
(*.f64 (+.f64 1 beta) (*.f64 (+.f64 1 alpha) (pow.f64 beta -3)))
(*.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 beta) (pow.f64 beta -3)))
(*.f64 (pow.f64 beta -3) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))
(exp.f64 (+.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)) (*.f64 -3 (log.f64 beta))))
(exp.f64 (+.f64 (log1p.f64 alpha) (+.f64 (log1p.f64 beta) (*.f64 -3 (log.f64 beta)))))
(*.f64 (pow.f64 beta -3) (exp.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta))))
(exp.f64 (*.f64 (+.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)) (*.f64 -3 (log.f64 beta))) 1))
(exp.f64 (+.f64 (log1p.f64 alpha) (+.f64 (log1p.f64 beta) (*.f64 -3 (log.f64 beta)))))
(*.f64 (pow.f64 beta -3) (exp.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta))))

eval1.3s (7.9%)

Compiler

Compiled 64458 to 47063 computations (27% saved)

prune537.0ms (3.3%)

Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New1314171331
Fresh81220
Picked101
Done325
Total1326311357
Error
0b
Counts
1357 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
34.3b
(pow.f64 beta -2)
0.1b
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))
34.0b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 (*.f64 beta beta) (*.f64 2 (*.f64 beta (+.f64 2 alpha))))) (+.f64 (+.f64 alpha beta) 3))
5.4b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
34.6b
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
62.6b
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
24.9b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
45.6b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 beta beta))
29.3b
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
29.8b
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
48.4b
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
43.4b
(/.f64 (/.f64 alpha beta) beta)
34.3b
(/.f64 (/.f64 1 beta) beta)
10.7b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
61.1b
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
32.7b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
43.4b
(/.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta)) (+.f64 (+.f64 alpha beta) 3))
11.7b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (-.f64 beta alpha) -2)) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 3 (+.f64 alpha beta)))))
11.7b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 3 alpha) beta) 2))))
11.7b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
33.6b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
48.7b
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
46.2b
(/.f64 alpha (*.f64 beta beta))
34.6b
(/.f64 1 (*.f64 beta beta))
3.2b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 3 beta)) beta))))
0.7b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 alpha)) (+.f64 (+.f64 3 alpha) beta))))
5.6b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
29.8b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
5.5b
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
17.6b
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
27.9b
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
Compiler

Compiled 1134 to 789 computations (30.4% saved)

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 87 to 58 computations (33.3% saved)

series16.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite108.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
394×fma-neg_binary64
368×expm1-udef_binary64
368×log1p-udef_binary64
210×add-sqr-sqrt_binary64
205×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01685
139979
2668179
Stop Event
node limit
Counts
4 → 167
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))
(/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 beta alpha)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 3 beta))) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 1 (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) 2)) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 beta alpha))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 beta alpha))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 beta alpha))))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 beta alpha))))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (neg.f64 alpha) -1) (+.f64 alpha (+.f64 3 beta))) (/.f64 1 (neg.f64 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 2 (+.f64 beta alpha))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 2 (+.f64 beta alpha))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 3 beta))) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) 2)) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 3 beta))) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) 2)) 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simplify143.0ms (0.9%)

Algorithm
egg-herbie
Rules
649×associate-/l*_binary64
607×fma-def_binary64
599×times-frac_binary64
483×associate-/r*_binary64
277×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096612395
1341611785
Stop Event
node limit
Counts
263 → 442
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
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(/.f64 (+.f64 1 alpha) beta)
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1
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1
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 3 beta) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 3 beta) (-.f64 (+.f64 3 beta) alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 2))) (-.f64 alpha (+.f64 3 beta)))
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))) 2)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) -1)
(neg.f64 (/.f64 (+.f64 1 alpha) (neg.f64 (+.f64 alpha (+.f64 3 beta)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 3 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 3 beta)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 3 beta)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)))) 1)
(*.f64 1 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)))
(*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 1 (+.f64 1 beta)))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) 2)) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (*.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (/.f64 1 (+.f64 1 beta))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))) (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))))
(*.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) (*.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) (/.f64 1 (+.f64 1 beta))))
(*.f64 (neg.f64 (+.f64 2 (+.f64 beta alpha))) (/.f64 1 (+.f64 (neg.f64 beta) -1)))
(*.f64 (/.f64 1 (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (+.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) 1) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) (+.f64 1 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 beta))) (/.f64 (+.f64 2 (+.f64 beta alpha)) (sqrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (sqrt.f64 (+.f64 1 beta))) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (sqrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 (pow.f64 beta 3))) (-.f64 (+.f64 1 (*.f64 beta beta)) beta))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 1 (*.f64 beta beta))) (-.f64 1 beta))
(pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))) 2)
(pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) -1)
(neg.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 (neg.f64 beta) -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3) (pow.f64 (+.f64 1 beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 beta alpha))) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 beta alpha))) (log1p.f64 beta)) 1))
Outputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))
(fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha)))
(-.f64 (fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(fma.f64 (-.f64 (+.f64 (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (*.f64 beta 2) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (*.f64 (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2)))) (+.f64 beta 2)))))) (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))))
(fma.f64 (-.f64 (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 3) (-.f64 (fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (/.f64 1 alpha))
(-.f64 (/.f64 1 alpha) (/.f64 (fma.f64 beta 2 4) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 (*.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(-.f64 (-.f64 (/.f64 1 alpha) (/.f64 (-.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (fma.f64 beta 2 5) (fma.f64 beta 2 4))) (pow.f64 alpha 3))) (/.f64 (fma.f64 beta 2 4) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 5 (*.f64 beta 2)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 (*.f64 beta 2) 4))))) (neg.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta 2) 4))))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 (*.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(-.f64 (-.f64 (-.f64 (/.f64 1 alpha) (/.f64 (-.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (fma.f64 beta 2 5) (fma.f64 beta 2 4))) (pow.f64 alpha 3))) (/.f64 (neg.f64 (fma.f64 (fma.f64 beta 2 5) (-.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (fma.f64 beta 2 5) (fma.f64 beta 2 4))) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (fma.f64 beta 2 4))))) (pow.f64 alpha 4))) (/.f64 (fma.f64 beta 2 4) (*.f64 alpha alpha)))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 1 (*.f64 alpha alpha))) (neg.f64 (/.f64 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))) (*.f64 alpha alpha))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (-.f64 (fma.f64 beta -1 -3) (+.f64 beta 2)) (*.f64 alpha alpha))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
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(/.f64 (+.f64 1 alpha) beta)
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(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 1 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 3 beta))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 (+.f64 beta 3) alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 (+.f64 beta 3) alpha))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 (+.f64 beta 3) alpha))))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 3 beta) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 3 beta) (-.f64 (+.f64 3 beta) alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 3 (-.f64 beta alpha)))))
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 3 (-.f64 beta alpha))))))
(*.f64 (/.f64 (+.f64 1 alpha) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 2))) (-.f64 alpha (+.f64 3 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) 1)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) 3) 1/3)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))) 3)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))) 2)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) -1)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(neg.f64 (/.f64 (+.f64 1 alpha) (neg.f64 (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) 2))
(fabs.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) 3))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 3 beta)) 3)))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 3 beta)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 beta 3) alpha))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (+.f64 (+.f64 beta 3) alpha))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 3 beta)))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 beta 3) alpha))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (+.f64 (+.f64 beta 3) alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)))) 1)
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(*.f64 1 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 1 (+.f64 1 beta)))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) 1)
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) 2)) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) 2)) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (*.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (/.f64 1 (+.f64 1 beta))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (+.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))) (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(*.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) (*.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) (/.f64 1 (+.f64 1 beta))))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(*.f64 (neg.f64 (+.f64 2 (+.f64 beta alpha))) (/.f64 1 (+.f64 (neg.f64 beta) -1)))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(*.f64 (/.f64 1 (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (+.f64 1 beta)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (*.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (/.f64 1 (+.f64 1 beta))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (+.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) 1) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) (+.f64 1 beta)))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (cbrt.f64 (+.f64 1 beta))))
(/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (cbrt.f64 (+.f64 1 beta))) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 beta))) (/.f64 (+.f64 2 (+.f64 beta alpha)) (sqrt.f64 (+.f64 1 beta))))
(/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (sqrt.f64 (+.f64 1 beta))) (sqrt.f64 (+.f64 1 beta)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (sqrt.f64 (+.f64 1 beta))) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (sqrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 (pow.f64 beta 3))) (-.f64 (+.f64 1 (*.f64 beta beta)) beta))
(/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 (fma.f64 beta beta 1) beta)) (+.f64 1 (pow.f64 beta 3)))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 1 (*.f64 beta beta))) (-.f64 1 beta))
(pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) 1)
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) 3) 1/3)
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))) 3)
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))) 2)
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) -1)
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(neg.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 (neg.f64 beta) -1)))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) 2))
(fabs.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)))))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) 3))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3) (pow.f64 (+.f64 1 beta) 3)))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 beta alpha))) (log1p.f64 beta)))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (exp.f64 (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 beta alpha))) (log1p.f64 beta)) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 beta alpha))) (log1p.f64 beta)))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (exp.f64 (log1p.f64 beta)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1 (*.f64 beta beta))
Compiler

Compiled 12 to 6 computations (50% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
3.0ms
beta
@0
(/.f64 1 (*.f64 beta beta))
0.0ms
beta
@inf
(/.f64 1 (*.f64 beta beta))
0.0ms
beta
@-inf
(/.f64 1 (*.f64 beta beta))

rewrite40.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
405×pow1_binary64
391×add-sqr-sqrt_binary64
382×*-un-lft-identity_binary64
377×add-log-exp_binary64
376×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11004
211634
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 1 (*.f64 beta beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 beta -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 beta -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (*.f64 (cbrt.f64 beta) beta) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 beta)) (pow.f64 (*.f64 (sqrt.f64 beta) beta) -1))))) (#(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 (pow.f64 1 1/3) (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) -2) (pow.f64 (pow.f64 (cbrt.f64 beta) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 beta) 2) -2) (pow.f64 (cbrt.f64 beta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 beta) -2) (pow.f64 (sqrt.f64 beta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 beta 4))) -2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 beta (sqrt.f64 beta)) -1) (/.f64 1 (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 beta (pow.f64 (cbrt.f64 beta) 2)) -1) (pow.f64 (cbrt.f64 beta) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 beta -2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 beta -2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 beta beta) -2) (/.f64 1 beta)) 1/3) (cbrt.f64 (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 beta beta) -2) (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 beta -2))) 2) 3) (cbrt.f64 (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 beta -2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 beta -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 beta -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 beta beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 beta -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 beta beta) -2) 1/2)))) (#(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 (cbrt.f64 (pow.f64 beta -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (*.f64 beta beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 beta beta) -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 log1p.f64 (expm1.f64 (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 beta)))))))

simplify40.0ms (0.2%)

Algorithm
egg-herbie
Rules
609×unswap-sqr_binary64
580×associate-/l/_binary64
341×associate-/r/_binary64
300×times-frac_binary64
213×fabs-mul_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0107467
1260317
2791306
34224282
Stop Event
node limit
Counts
50 → 57
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 0 (pow.f64 beta -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 beta -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 beta -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 beta -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 beta -2)))))
(-.f64 (+.f64 1 (pow.f64 beta -2)) 1)
(*.f64 1 (pow.f64 beta -2))
(*.f64 (pow.f64 beta -2) 1)
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (*.f64 (cbrt.f64 beta) beta) -1))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 -1 (/.f64 1 (neg.f64 (*.f64 beta beta))))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (pow.f64 (*.f64 (sqrt.f64 beta) beta) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2) (cbrt.f64 (pow.f64 beta -2)))
(*.f64 (pow.f64 1 1/3) (pow.f64 beta -2))
(*.f64 (pow.f64 (cbrt.f64 beta) -2) (pow.f64 (pow.f64 (cbrt.f64 beta) 2) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 beta) 2) -2) (pow.f64 (cbrt.f64 beta) -2))
(*.f64 (pow.f64 (sqrt.f64 beta) -2) (pow.f64 (sqrt.f64 beta) -2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 beta 4))) -2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2)) -2))
(*.f64 (pow.f64 (*.f64 beta (sqrt.f64 beta)) -1) (/.f64 1 (sqrt.f64 beta)))
(*.f64 (pow.f64 (*.f64 beta (pow.f64 (cbrt.f64 beta) 2)) -1) (pow.f64 (cbrt.f64 beta) -1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 beta -2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 beta -2) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 beta beta) -2) (/.f64 1 beta)) 1/3) (cbrt.f64 (/.f64 1 beta)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 beta beta) -2) (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 beta -2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 beta -2))) 2) 3) (cbrt.f64 (pow.f64 beta -2)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 beta -2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 beta -2))) 3))
(pow.f64 beta -2)
(pow.f64 (*.f64 beta beta) -1)
(pow.f64 (pow.f64 beta -2) 1)
(pow.f64 (pow.f64 (*.f64 beta beta) -2) 1/2)
(pow.f64 (pow.f64 (pow.f64 beta -2) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 beta -2)) 3)
(pow.f64 (/.f64 1 beta) 2)
(pow.f64 (neg.f64 (neg.f64 (*.f64 beta beta))) -1)
(sqrt.f64 (pow.f64 (*.f64 beta beta) -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)))
(log1p.f64 (expm1.f64 (pow.f64 beta -2)))
(exp.f64 (*.f64 -2 (log.f64 beta)))
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 0 (pow.f64 beta -2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 beta -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 beta -2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 beta -2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 beta -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 beta -2)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 beta -2)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 beta -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 beta -2)))))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(-.f64 (+.f64 1 (pow.f64 beta -2)) 1)
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 1 (pow.f64 beta -2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (pow.f64 beta -2) 1)
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (*.f64 (cbrt.f64 beta) beta) -1))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 1 (*.f64 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 -1 (/.f64 1 (neg.f64 (*.f64 beta beta))))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (/.f64 1 (sqrt.f64 beta)) (pow.f64 (*.f64 (sqrt.f64 beta) beta) -1))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2) (cbrt.f64 (pow.f64 beta -2)))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (pow.f64 1 1/3) (pow.f64 beta -2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (pow.f64 (cbrt.f64 beta) -2) (pow.f64 (pow.f64 (cbrt.f64 beta) 2) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 beta) 2) -2) (pow.f64 (cbrt.f64 beta) -2))
(pow.f64 (pow.f64 (cbrt.f64 beta) -2) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 beta) 2) -2) (pow.f64 (cbrt.f64 beta) -2))
(*.f64 (pow.f64 (cbrt.f64 beta) -2) (pow.f64 (pow.f64 (cbrt.f64 beta) 2) -2))
(pow.f64 (pow.f64 (cbrt.f64 beta) -2) 3)
(*.f64 (pow.f64 (sqrt.f64 beta) -2) (pow.f64 (sqrt.f64 beta) -2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 beta 4))) -2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2)) -2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 beta 4))) -2) (pow.f64 (fabs.f64 (cbrt.f64 beta)) -2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 beta 4))) -2) (pow.f64 (cbrt.f64 beta) -2))
(*.f64 (pow.f64 (*.f64 beta (sqrt.f64 beta)) -1) (/.f64 1 (sqrt.f64 beta)))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (pow.f64 (*.f64 beta (pow.f64 (cbrt.f64 beta) 2)) -1) (pow.f64 (cbrt.f64 beta) -1))
(*.f64 (/.f64 1 (*.f64 beta (pow.f64 (cbrt.f64 beta) 2))) (/.f64 1 (cbrt.f64 beta)))
(*.f64 (/.f64 (/.f64 1 beta) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 1 (cbrt.f64 beta)))
(/.f64 (pow.f64 (cbrt.f64 beta) -2) (*.f64 beta (cbrt.f64 beta)))
(/.f64 (pow.f64 (/.f64 1 (cbrt.f64 beta)) 3) beta)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 beta -2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 beta -2) 3)) 1/3))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 beta beta) -2) (/.f64 1 beta)) 1/3) (cbrt.f64 (/.f64 1 beta)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 beta) (pow.f64 (*.f64 beta beta) -2))) (cbrt.f64 (/.f64 1 beta)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 beta -4) beta)) (cbrt.f64 (/.f64 1 beta)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 beta beta) -2) (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 beta -2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2) (pow.f64 (*.f64 beta beta) -2))) (cbrt.f64 (cbrt.f64 (pow.f64 beta -2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2) (pow.f64 beta -4))) (cbrt.f64 (cbrt.f64 (pow.f64 beta -2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 8)) (cbrt.f64 (cbrt.f64 (pow.f64 beta -2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 beta -2))) 2) 3) (cbrt.f64 (pow.f64 beta -2)))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 beta -2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 beta -2))) 3))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(pow.f64 beta -2)
(/.f64 1 (*.f64 beta beta))
(pow.f64 (*.f64 beta beta) -1)
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(pow.f64 (pow.f64 beta -2) 1)
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(pow.f64 (pow.f64 (*.f64 beta beta) -2) 1/2)
(/.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 (cbrt.f64 (pow.f64 beta -2)) 3)
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(pow.f64 (/.f64 1 beta) 2)
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(pow.f64 (neg.f64 (neg.f64 (*.f64 beta beta))) -1)
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(sqrt.f64 (pow.f64 (*.f64 beta beta) -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)
(log1p.f64 (expm1.f64 (pow.f64 beta -2)))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(exp.f64 (*.f64 -2 (log.f64 beta)))
(/.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 1 alpha) beta)
0.2b
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series6.0ms (0%)

Counts
2 → 36
Calls

12 calls:

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

rewrite66.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
664×prod-diff_binary64
587×log-prod_binary64
402×fma-def_binary64
245×log-div_binary64
225×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
123623
2363323
Stop Event
node limit
Counts
2 → 81
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 1 alpha) beta)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (neg.f64 alpha) -1) beta) (/.f64 1 (+.f64 -3 (neg.f64 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 beta (+.f64 alpha 3))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 1 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> 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simplify64.0ms (0.4%)

Algorithm
egg-herbie
Rules
551×unswap-sqr_binary64
442×associate-/l/_binary64
343×associate-/r/_binary64
186×associate-/l*_binary64
143×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03382685
19262576
237722342
Stop Event
node limit
Counts
117 → 187
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 0 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))) 1)
(*.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))) 1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 (neg.f64 alpha) -1) beta) (/.f64 1 (+.f64 -3 (neg.f64 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 beta (+.f64 alpha 3))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 1 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (*.f64 (+.f64 alpha beta) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (+.f64 alpha (-.f64 beta 3)))
(pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))) 1)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))) 2)
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 beta (+.f64 1 alpha))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 -3 (neg.f64 (+.f64 alpha beta)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3))))) 1))
(+.f64 0 (/.f64 (+.f64 1 alpha) beta))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) beta))) 1)
(*.f64 1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 (+.f64 1 alpha) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)))
(*.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 1 beta)))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (+.f64 1 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 beta beta))) (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (*.f64 beta beta))) (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (*.f64 beta beta))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 beta)))
(pow.f64 (/.f64 (+.f64 1 alpha) beta) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2)
(pow.f64 (/.f64 beta (+.f64 1 alpha)) -1)
(neg.f64 (/.f64 (+.f64 1 alpha) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) beta)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) beta)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)) 1))
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 1 (*.f64 beta (+.f64 beta 3))) (/.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha (/.f64 1 (*.f64 beta (+.f64 beta 3))))
(fma.f64 (+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 -1 (*.f64 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 1 (*.f64 beta (+.f64 beta 3))) (fma.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))))))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (*.f64 alpha (+.f64 (+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (*.f64 (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (/.f64 1 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 (/.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 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (fma.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (*.f64 alpha alpha) (fma.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 -1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha (*.f64 (+.f64 (/.f64 (/.f64 1 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 1 beta) (-.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (/.f64 3 (*.f64 beta alpha)) (/.f64 1 alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (+.f64 (/.f64 (/.f64 1 beta) alpha) (/.f64 (/.f64 -3 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 1 beta) (-.f64 (neg.f64 (/.f64 (+.f64 beta 3) (/.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 1 beta) (*.f64 (/.f64 (+.f64 beta 3) alpha) (/.f64 (-.f64 (/.f64 1 beta) (+.f64 1 (/.f64 3 beta))) alpha))) (+.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 beta alpha))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 (/.f64 1 beta) -2) -1) alpha) (/.f64 (-.f64 -3 beta) alpha)) (+.f64 (/.f64 1 beta) (-.f64 (/.f64 -1 alpha) (/.f64 (/.f64 2 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 (pow.f64 (+.f64 beta 3) 2) (/.f64 (pow.f64 alpha 3) (-.f64 (/.f64 1 beta) (+.f64 1 (/.f64 3 beta))))) (+.f64 (/.f64 1 beta) (-.f64 (neg.f64 (/.f64 (+.f64 beta 3) (/.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 1 beta) (*.f64 (/.f64 (+.f64 beta 3) alpha) (/.f64 (-.f64 (/.f64 1 beta) (+.f64 1 (/.f64 3 beta))) alpha))) (-.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 (-.f64 (/.f64 1 beta) (*.f64 (/.f64 (+.f64 (*.f64 (/.f64 1 beta) -2) -1) (*.f64 alpha alpha)) (+.f64 beta 3))) (fma.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 1 beta) -2) -1) (-.f64 (/.f64 -1 alpha) (/.f64 (/.f64 2 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 1 (*.f64 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 (/.f64 1 beta) (/.f64 (-.f64 -3 beta) 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 1 (*.f64 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 1 (*.f64 beta alpha)) (/.f64 (+.f64 beta 3) (*.f64 beta alpha))) (*.f64 (/.f64 (+.f64 beta 3) alpha) (/.f64 (-.f64 (/.f64 1 beta) (/.f64 (+.f64 beta 3) beta)) alpha))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 (/.f64 1 beta) alpha)) (*.f64 (/.f64 (+.f64 beta 3) alpha) (-.f64 (/.f64 -1 beta) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 (-.f64 -3 beta) beta)) 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 1 (*.f64 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 1 beta) (+.f64 (/.f64 1 (*.f64 beta alpha)) (-.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (-.f64 (/.f64 1 beta) (/.f64 (+.f64 beta 3) beta))) (*.f64 (/.f64 (+.f64 beta 3) alpha) (/.f64 (-.f64 (/.f64 1 beta) (/.f64 (+.f64 beta 3) beta)) alpha))) (/.f64 (+.f64 beta 3) (*.f64 beta alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 beta) (/.f64 (-.f64 -3 beta) beta)) (*.f64 alpha alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) alpha) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 (-.f64 -3 beta) beta)) alpha)))
(/.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 1 (*.f64 beta (+.f64 3 alpha))) (-.f64 (/.f64 alpha (*.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 (/.f64 alpha (*.f64 beta (+.f64 3 alpha))) (/.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))))))))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 (-.f64 (/.f64 alpha (*.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (/.f64 beta (+.f64 3 alpha)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))))))
(+.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (+.f64 -1 (/.f64 beta (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 3 alpha))) (/.f64 1 (*.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)))))))
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(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta alpha) 3))) (/.f64 (+.f64 1 alpha) (*.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 3)) beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))) (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))
(/.f64 (+.f64 1 alpha) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 3 alpha))) (*.f64 beta (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))))
(*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta alpha) 3))) (/.f64 (+.f64 1 alpha) (*.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 3)) beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))) (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))
(/.f64 (+.f64 1 alpha) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 3 alpha))) (*.f64 beta (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta alpha) 3))) (/.f64 (+.f64 1 alpha) (*.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 3)) beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))) (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))
(/.f64 (+.f64 1 alpha) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 3 alpha))) (*.f64 beta (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (*.f64 (+.f64 alpha beta) 3)))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 3 (+.f64 beta alpha))))) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 9 (*.f64 -3 (+.f64 beta alpha)))))
(/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 9 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -3))))) beta))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (+.f64 alpha (-.f64 beta 3)))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta -3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (-.f64 alpha 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha -3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9))
(pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))) 1)
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 3 alpha))))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))) 3) 1/3)
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 3 alpha))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))) 3)
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 3 alpha))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))) 2)
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 3 alpha))))
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 beta (+.f64 1 alpha))) -1)
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 3 alpha))))
(neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 -3 (neg.f64 (+.f64 alpha beta)))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (-.f64 -3 (+.f64 beta alpha)))) beta)
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 alpha) beta)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 -3 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))) 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 3 alpha))))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 3 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 3 alpha))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3))) 3))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 3 alpha))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 3 alpha))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 3 alpha))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 3 alpha))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 3)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 beta (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 (exp.f64 (log1p.f64 alpha)) beta) (+.f64 beta (+.f64 3 alpha)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3))))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 3)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 beta (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 (exp.f64 (log1p.f64 alpha)) beta) (+.f64 beta (+.f64 3 alpha)))
(+.f64 0 (/.f64 (+.f64 1 alpha) beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) beta))) 1)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 1 (/.f64 (+.f64 1 alpha) beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) (/.f64 1 beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) 1)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 1 beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (neg.f64 beta)))
(*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (neg.f64 beta)))
(/.f64 (-.f64 -1 alpha) (neg.f64 beta))
(*.f64 (/.f64 1 beta) (+.f64 1 alpha))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 beta beta))) (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)))
(/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 beta) (cbrt.f64 (*.f64 beta beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (*.f64 beta beta))) (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (*.f64 beta beta))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 (/.f64 (+.f64 1 alpha) beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (*.f64 beta beta))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 beta beta))) (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)))
(/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 beta) (cbrt.f64 (*.f64 beta beta))))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(pow.f64 (/.f64 (+.f64 1 alpha) beta) 1)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3) 1/3)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 3)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(pow.f64 (/.f64 beta (+.f64 1 alpha)) -1)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(neg.f64 (/.f64 (+.f64 1 alpha) (neg.f64 beta)))
(*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (neg.f64 beta)))
(/.f64 (-.f64 -1 alpha) (neg.f64 beta))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 2))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) beta))))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 beta 3)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) 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)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 68 to 48 computations (29.4% saved)

series13.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

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

rewrite75.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
962×prod-diff_binary64
304×log1p-udef_binary64
183×add-sqr-sqrt_binary64
177×*-un-lft-identity_binary64
177×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01548
137248
2568948
Stop Event
node limit
Counts
3 → 152
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
Outputs
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simplify76.0ms (0.5%)

Algorithm
egg-herbie
Rules
531×distribute-rgt-in_binary64
505×distribute-lft-in_binary64
348×associate-*r*_binary64
346×associate-*l*_binary64
334×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05595589
118795442
Stop Event
node limit
Counts
200 → 289
Calls
Call 1
Inputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (*.f64 19/216 (pow.f64 beta 2))))
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (+.f64 (*.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
6
(+.f64 6 (*.f64 5 beta))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 6 (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (*.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (*.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (*.f64 -6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)) (pow.f64 beta 5)) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 7 alpha) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (*.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (+.f64 7 alpha)) (pow.f64 beta 5))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 1)
(*.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))
(*.f64 -1 (/.f64 1 (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) -1))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (pow.f64 (+.f64 beta 2) -1) (/.f64 1 (+.f64 beta 3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1) (pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 4 (*.f64 beta beta))) (-.f64 2 beta))
(pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1)
(pow.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1))
(+.f64 (*.f64 beta (+.f64 beta 3)) (+.f64 (*.f64 beta 2) 6))
(+.f64 (+.f64 (*.f64 beta 2) 6) (*.f64 beta (+.f64 beta 3)))
(+.f64 (*.f64 (*.f64 beta (+.f64 beta 3)) 1) (*.f64 (+.f64 (*.f64 beta 2) 6) 1))
(+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 3 (+.f64 beta 2)))
(+.f64 (*.f64 3 (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 (+.f64 beta 2) beta) (*.f64 (+.f64 beta 2) 3))
(+.f64 (*.f64 (+.f64 beta 2) 3) (*.f64 (+.f64 beta 2) beta))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1)
(/.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 beta 3) (/.f64 1 (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)
(/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))
(/.f64 (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2))) -1)
(/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 beta -3) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 beta -3) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (fma.f64 beta beta -4)) (*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (+.f64 beta -2)))
(/.f64 (*.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (*.f64 (+.f64 beta -3) (+.f64 beta -2)))
(/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (-.f64 4 (*.f64 beta beta))) (*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (-.f64 2 beta)))
(/.f64 (*.f64 (fma.f64 beta beta -9) (-.f64 4 (*.f64 beta beta))) (*.f64 (+.f64 beta -3) (-.f64 2 beta)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3))) (*.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (*.f64 (+.f64 beta -2) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 27 (pow.f64 beta 3))) (*.f64 (-.f64 2 beta) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -9)) (*.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (+.f64 beta -3)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -9)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 beta -3)))
(/.f64 (*.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -9)) (*.f64 (+.f64 beta -2) (+.f64 beta -3)))
(/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (fma.f64 beta beta -9)) (*.f64 (-.f64 2 beta) (+.f64 beta -3)))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 3) (pow.f64 (+.f64 (*.f64 beta 2) 6) 3)) (+.f64 (*.f64 (*.f64 beta (+.f64 beta 3)) (*.f64 beta (+.f64 beta 3))) (-.f64 (*.f64 (+.f64 (*.f64 beta 2) 6) (+.f64 (*.f64 beta 2) 6)) (*.f64 (*.f64 beta (+.f64 beta 3)) (+.f64 (*.f64 beta 2) 6)))))
(/.f64 (-.f64 (*.f64 (*.f64 beta (+.f64 beta 3)) (*.f64 beta (+.f64 beta 3))) (*.f64 (+.f64 (*.f64 beta 2) 6) (+.f64 (*.f64 beta 2) 6))) (-.f64 (*.f64 beta (+.f64 beta 3)) (+.f64 (*.f64 beta 2) 6)))
(/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 beta 2)) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 beta 2)) (+.f64 beta -3))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 3)) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 beta 3)) (+.f64 beta -2))
(/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta 3)) (-.f64 2 beta))
(/.f64 (*.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(/.f64 (*.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (+.f64 beta -2))
(/.f64 (*.f64 (+.f64 beta 3) (-.f64 4 (*.f64 beta beta))) (-.f64 2 beta))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) (+.f64 beta -3))
(pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 3)) (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1))
(fma.f64 beta (+.f64 beta 3) (+.f64 (*.f64 beta 2) 6))
(fma.f64 (+.f64 beta 3) beta (+.f64 (*.f64 beta 2) 6))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))) 1)
(/.f64 1 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))))
(/.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 1 (/.f64 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) (+.f64 1 beta)))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)))
(/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (+.f64 1 beta) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (+.f64 1 beta) (/.f64 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))) 1))
(/.f64 (+.f64 1 beta) (/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 2) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 -1 (*.f64 (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2))) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))))
(/.f64 -1 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)) (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))))
(/.f64 (+.f64 -1 (neg.f64 beta)) (neg.f64 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (+.f64 -1 (neg.f64 beta)) (*.f64 (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (+.f64 -1 (neg.f64 beta)) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (neg.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (neg.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2))))
(/.f64 (neg.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) 1) (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) 1) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 1 beta)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (*.f64 -1 (+.f64 -1 (neg.f64 beta))) (*.f64 (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2))) (neg.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 -1 (neg.f64 beta))) (*.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (*.f64 (+.f64 1 beta) -1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) -1) (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 1 beta) (/.f64 1 (+.f64 beta 3))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (+.f64 beta 3))) (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (*.f64 -1 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) (+.f64 beta 2))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 -1 (neg.f64 beta))) (neg.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) -1) (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2))
(pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) 1))
Outputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(fma.f64 -5/36 beta 1/6)
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6
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(+.f64 6 (*.f64 beta 5))
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(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3)))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3)) (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) 3) (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3)) (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) 3) (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (exp.f64 (log1p.f64 beta)) (*.f64 (+.f64 beta 2) (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (exp.f64 (log1p.f64 beta)) (*.f64 (+.f64 beta 2) (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))))

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
0.0b
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
0.1b
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
17.0b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
Compiler

Compiled 100 to 68 computations (32% saved)

series16.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite85.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
378×log1p-udef_binary64
377×expm1-udef_binary64
223×add-sqr-sqrt_binary64
217×*-un-lft-identity_binary64
217×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01775
142669
2729869
Stop Event
node limit
Counts
3 → 146
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.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 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 alpha) (neg.f64 (+.f64 beta 1))) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (neg.f64 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) 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#<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (neg.f64 (+.f64 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simplify193.0ms (1.2%)

Algorithm
egg-herbie
Rules
931×distribute-rgt-in_binary64
732×times-frac_binary64
513×fma-def_binary64
218×*-commutative_binary64
197×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084912686
1313311814
Stop Event
node limit
Counts
218 → 381
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (pow.f64 beta 3)) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha)))) (+.f64 5 (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha)))) (+.f64 5 (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 (+.f64 5 (*.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha)))))) (+.f64 5 (*.f64 2 alpha)))) (*.f64 (+.f64 2 alpha) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha)))) (+.f64 3 alpha)))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))))) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (pow.f64 beta 3)))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))))) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (pow.f64 beta 3))))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 3))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.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)))
(-.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 (*.f64 -1 (/.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)))) (+.f64 5 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))))))) (pow.f64 alpha 4))) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (pow.f64 alpha 2)))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.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 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))) (pow.f64 alpha 3)) (/.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))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.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 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 (-.f64 (+.f64 beta 1) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))))) (*.f64 (-.f64 (+.f64 beta 1) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (pow.f64 alpha 4))) (/.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))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (/.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 beta (+.f64 alpha 3))) (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (/.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 beta (+.f64 alpha 3))) (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))))
(/.f64 -1 (*.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 1))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 -1 (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 1)))))
(/.f64 (*.f64 (+.f64 1 alpha) (neg.f64 (+.f64 beta 1))) (neg.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (*.f64 (+.f64 1 alpha) (neg.f64 (+.f64 beta 1))) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (*.f64 (+.f64 1 alpha) (neg.f64 (+.f64 beta 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (neg.f64 (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (neg.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))) (*.f64 (+.f64 beta (+.f64 alpha 3)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) (neg.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (*.f64 (+.f64 1 alpha) (neg.f64 (+.f64 beta 1))) 1) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (*.f64 (+.f64 beta 1) -1) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) -1) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 (*.f64 (+.f64 1 alpha) (neg.f64 (+.f64 beta 1))) -1) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) -1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))))
(/.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (neg.f64 (+.f64 beta 1)))) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 3)) (neg.f64 (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))) (*.f64 (+.f64 beta (+.f64 alpha 3)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))) 1) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 2)) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))) (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (*.f64 (*.f64 (+.f64 1 alpha) (neg.f64 (+.f64 beta 1))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (*.f64 (+.f64 beta (+.f64 alpha 3)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (*.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) (neg.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))) -1) (neg.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 1 alpha) (neg.f64 (+.f64 beta 1)))) (*.f64 (+.f64 beta (+.f64 alpha 3)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))) (+.f64 beta (+.f64 alpha 3)))
(pow.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 3)))) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 3)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 3))))) 3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 3))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 3)))) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 3))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 3)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 3)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))) 3) (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 3))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (-.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)) (log.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (*.f64 (-.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)) (log.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 beta (+.f64 alpha 3))))) 1))
(-.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 (/.f64 1 (cbrt.f64 (+.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)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 beta (+.f64 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 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.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 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha 2) beta))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(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)))))
(log1p.f64 (expm1.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))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))
(+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 3)) (fma.f64 beta (+.f64 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 3)) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (fma.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (fma.f64 alpha 2 5) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2))) (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 3)) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 alpha 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (+.f64 alpha 3)))))) (+.f64 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 3)) (fma.f64 beta (+.f64 (/.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 alpha 3)) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))
(+.f64 (fma.f64 (*.f64 beta (neg.f64 beta)) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2))) (fma.f64 (/.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (fma.f64 alpha 2 5) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 alpha 2)) (/.f64 (fma.f64 alpha 2 5) (+.f64 alpha 3)) (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 3) 2)))) (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (fma.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (fma.f64 alpha 2 5) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (pow.f64 beta 3)) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) 2) (+.f64 (+.f64 beta alpha) 3)) (+.f64 1 alpha))) 3) (/.f64 1 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 3))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 (+.f64 alpha 3) beta) (+.f64 1 alpha))) (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2))
(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha))) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 (+.f64 alpha 3) beta) (+.f64 1 alpha))) (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2))
(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha))) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(exp.f64 (-.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)) (log.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (+.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 (+.f64 alpha 3) beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2))))))
(/.f64 (exp.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta))) (*.f64 (+.f64 (+.f64 beta alpha) 3) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)))
(exp.f64 (*.f64 (-.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)) (log.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 beta (+.f64 alpha 3))))) 1))
(exp.f64 (+.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 (+.f64 alpha 3) beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2))))))
(/.f64 (exp.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta))) (*.f64 (+.f64 (+.f64 beta alpha) 3) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2)) (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2)) (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 -1 (neg.f64 (+.f64 (+.f64 alpha 2) beta)))
(/.f64 -1 (+.f64 (neg.f64 (+.f64 beta 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 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)))
(*.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 (+.f64 alpha 2) beta)) -2)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 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 (/.f64 1 (+.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))))
(/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))
(*.f64 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha 2) beta))
(*.f64 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (-.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 alpha (+.f64 2 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 1 (+.f64 (+.f64 alpha 2) beta))
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))

eval1.6s (9.6%)

Compiler

Compiled 70201 to 51441 computations (26.7% saved)

prune810.0ms (4.9%)

Pruning

32 alts after pruning (30 fresh and 2 done)

PrunedKeptTotal
New1544171561
Fresh111324
Picked101
Done426
Total1560321592
Error
0b
Counts
1592 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
34.3b
(pow.f64 beta -2)
0.1b
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
5.4b
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 3)) (+.f64 beta 2))
17.6b
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
29.3b
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))
34.0b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 (*.f64 beta beta) (*.f64 2 (*.f64 beta (+.f64 2 alpha))))) (+.f64 (+.f64 alpha beta) 3))
5.4b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
0.7b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
34.6b
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
5.6b
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
45.6b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 beta beta))
29.8b
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
42.7b
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
43.4b
(/.f64 (/.f64 alpha beta) beta)
33.8b
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
34.3b
(/.f64 (/.f64 1 beta) beta)
32.7b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
11.7b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 3 alpha) beta) 2))))
48.7b
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
46.2b
(/.f64 alpha (*.f64 beta beta))
34.6b
(/.f64 1 (*.f64 beta beta))
60.3b
(/.f64 1 beta)
33.9b
(/.f64 1/6 (+.f64 2 alpha))
5.6b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 6 (*.f64 beta (+.f64 5 beta)))))
5.6b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (/.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 2 beta)) (+.f64 beta 3))))
33.8b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 beta (+.f64 5 beta))))
34.7b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 (*.f64 -5/36 beta) 1/6))
29.8b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
30.9b
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
17.8b
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
27.9b
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
29.8b
(*.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
Compiler

Compiled 1032 to 737 computations (28.6% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 95 to 64 computations (32.6% saved)

series18.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite94.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
448×fma-neg_binary64
365×log1p-udef_binary64
364×expm1-udef_binary64
210×add-sqr-sqrt_binary64
205×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01697
139985
2664385
Stop Event
node limit
Counts
4 → 172
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (*.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)) (+.f64 3 (+.f64 beta alpha)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta 1) (*.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)) (+.f64 3 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 3 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 3 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (/.f64 1 (+.f64 3 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)) (+.f64 3 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) 2)) (*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))) (/.f64 1 (+.f64 3 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)) (+.f64 3 (+.f64 beta alpha))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)) (+.f64 3 (+.f64 beta alpha))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)) (+.f64 3 (+.f64 beta alpha))))) 2) (cbrt.f64 (/.f64 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simplify154.0ms (0.9%)

Algorithm
egg-herbie
Rules
644×associate-/l*_binary64
565×fma-def_binary64
445×times-frac_binary64
392×associate-/r*_binary64
267×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102113219
1351912709
Stop Event
node limit
Counts
268 → 463
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))))))
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(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
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(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
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(+.f64 1 alpha)
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(/.f64 (+.f64 beta 1) (+.f64 beta 2))
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(+.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 beta 1)
(+.f64 beta (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) alpha))))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 2)) (+.f64 beta (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) alpha)))))
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(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
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(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (*.f64 2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
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(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
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(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 2 alpha) (+.f64 1 alpha))
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(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 beta (+.f64 1 alpha))
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(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 beta (+.f64 1 alpha))
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(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 beta 2)
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1
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1
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (*.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)) (+.f64 3 (+.f64 beta alpha)))))) 1)
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(*.f64 (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))))
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(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2))) (-.f64 beta (+.f64 alpha 3)))
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(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)) (+.f64 3 (+.f64 beta alpha))))) 3)
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(pow.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) -1)
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(+.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 alpha (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) 2)) (cbrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) 2)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))) (/.f64 (+.f64 beta 1) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))))
(*.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) 1) (+.f64 1 alpha))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) (+.f64 (neg.f64 alpha) -1))
(*.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (+.f64 1 alpha) 2))) (cbrt.f64 (+.f64 1 alpha)))
(*.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (hypot.f64 1 (sqrt.f64 alpha))) (hypot.f64 1 (sqrt.f64 alpha)))
(pow.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) -1)
(neg.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (+.f64 1 alpha))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (-.f64 (log1p.f64 beta) (-.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) (log1p.f64 alpha))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (-.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) (log1p.f64 alpha))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))))) 1)
(*.f64 1 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))))
(*.f64 (+.f64 beta 1) (/.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))))
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))) (sqrt.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (*.f64 (+.f64 beta 1) (neg.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(*.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))) 2)
(pow.f64 (*.f64 (/.f64 1 (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) -1)
(neg.f64 (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))) 1)
(*.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 1 (+.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 1 alpha))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 1 alpha))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (/.f64 1 (+.f64 (neg.f64 alpha) -1)))
(*.f64 (/.f64 1 (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 alpha)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 alpha) 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (pow.f64 (+.f64 1 alpha) 2))) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (+.f64 1 alpha) 2))) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 alpha))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (hypot.f64 1 (sqrt.f64 alpha))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 alpha))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) 2)
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) -1)
(neg.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (neg.f64 alpha) -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (+.f64 1 alpha) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(exp.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) (log1p.f64 alpha)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) (log1p.f64 alpha)) 1))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 3) 2)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 4))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2))
(/.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 3 beta))
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(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (+.f64 1 beta) (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha 2) beta)))))
(*.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (+.f64 1 alpha) (*.f64 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)) (+.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (+.f64 1 beta) (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha 2) beta)))))
(*.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (+.f64 1 alpha) (*.f64 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)) (+.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta)))) 2) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta)))) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(*.f64 (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha 2) beta))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha 2) beta)))) (-.f64 (-.f64 beta alpha) 2))
(*.f64 (/.f64 (+.f64 1 alpha) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta)))) (+.f64 (-.f64 beta alpha) -2))
(pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) 1)
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) 3) 1/3)
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))) 3)
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))) 2)
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(pow.f64 (*.f64 (/.f64 1 (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) -1)
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(neg.f64 (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(*.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 -1 (neg.f64 alpha)) (+.f64 (+.f64 alpha 2) beta)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta))))))
(/.f64 (-.f64 -1 beta) (*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 1 alpha)) (+.f64 (+.f64 alpha 2) beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha)) 2))
(fabs.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2))))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))))))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) 3))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))) 3) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (/.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2) (+.f64 1 alpha)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (/.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2) (+.f64 1 alpha)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (/.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2) (+.f64 1 alpha)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (/.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2) (+.f64 1 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))) 1)
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(*.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 1 (+.f64 1 alpha)))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) 1)
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 1 alpha))))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) 2))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 1 alpha))))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (/.f64 1 (+.f64 (neg.f64 alpha) -1)))
(*.f64 (+.f64 -2 (neg.f64 (+.f64 alpha beta))) (/.f64 1 (+.f64 -1 (neg.f64 alpha))))
(/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 alpha))
(*.f64 (/.f64 1 (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 alpha)))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 alpha)))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 alpha) 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 alpha) 2))) (/.f64 (+.f64 (+.f64 alpha 2) beta) (cbrt.f64 (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (cbrt.f64 (+.f64 1 alpha))) (cbrt.f64 (pow.f64 (+.f64 1 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (pow.f64 (+.f64 1 alpha) 2))) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2) (cbrt.f64 (pow.f64 (+.f64 1 alpha) 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (+.f64 1 alpha) 2))) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)) (cbrt.f64 (pow.f64 (+.f64 1 alpha) 2))) (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)) (cbrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 alpha))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 alpha))) (/.f64 (+.f64 (+.f64 alpha 2) beta) (hypot.f64 1 (sqrt.f64 alpha))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (hypot.f64 1 (sqrt.f64 alpha))) (hypot.f64 1 (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (hypot.f64 1 (sqrt.f64 alpha))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2) (hypot.f64 1 (sqrt.f64 alpha))) (/.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(/.f64 (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 (fma.f64 alpha alpha (neg.f64 alpha)))) (+.f64 1 (pow.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (fma.f64 alpha alpha (neg.f64 alpha))))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 alpha))
(*.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 alpha))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) 1)
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) 3) 1/3)
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) 3)
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) 2)
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) -1)
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(neg.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (neg.f64 alpha) -1)))
(*.f64 (+.f64 -2 (neg.f64 (+.f64 alpha beta))) (/.f64 1 (+.f64 -1 (neg.f64 alpha))))
(/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha)) 2))
(fabs.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha)))
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) 3))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (+.f64 1 alpha) 3)))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 1 alpha))
(exp.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) (log1p.f64 alpha)))
(exp.f64 (-.f64 (log.f64 (+.f64 (+.f64 alpha 2) beta)) (log1p.f64 alpha)))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (exp.f64 (log1p.f64 alpha)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) (log1p.f64 alpha)) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 (+.f64 alpha 2) beta)) (log1p.f64 alpha)))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (exp.f64 (log1p.f64 alpha)))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 1 alpha) beta)
0.3b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
Compiler

Compiled 25 to 16 computations (36% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite45.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
935×pow1_binary64
871×add-log-exp_binary64
871×log1p-expm1-u_binary64
871×expm1-log1p-u_binary64
88×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117610
2247410
Stop Event
node limit
Counts
1 → 43
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 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 beta (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 alpha) (*.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 alpha) (/.f64 beta (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 alpha) beta) beta)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (/.f64 beta (cbrt.f64 (/.f64 (+.f64 1 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 beta (sqrt.f64 (/.f64 (+.f64 1 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 beta (+.f64 1 alpha)) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 beta) (/.f64 beta (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 alpha)) (neg.f64 (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 alpha)) (*.f64 (neg.f64 beta) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 alpha)) (*.f64 beta (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 1 alpha) beta)) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) 1) (*.f64 (neg.f64 beta) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 alpha) -1) (*.f64 beta (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) -1) (*.f64 (neg.f64 beta) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 -1 (neg.f64 alpha))) (*.f64 (neg.f64 beta) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (sqrt.f64 beta)) (sqrt.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) 1) beta)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 beta)) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) -1) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 beta) (+.f64 -1 (neg.f64 alpha))) (neg.f64 beta))))) (#(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 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3) 1/3)))) (#(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 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.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 cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3) (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3) (/.f64 (pow.f64 beta -2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 beta -2) beta) (pow.f64 (/.f64 (+.f64 1 alpha) beta) 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 log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta beta))))))))

simplify49.0ms (0.3%)

Algorithm
egg-herbie
Rules
770×fma-def_binary64
689×times-frac_binary64
291×associate-*l/_binary64
289×associate-/r*_binary64
287×cube-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01181038
1287847
2950661
35480661
Stop Event
node limit
Counts
67 → 57
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 beta (+.f64 1 alpha)) beta))
(/.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (/.f64 beta (/.f64 1 beta)))
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta beta) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (/.f64 beta (cbrt.f64 (/.f64 (+.f64 1 alpha) beta))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 beta (sqrt.f64 (/.f64 (+.f64 1 alpha) beta))))
(/.f64 -1 (*.f64 (/.f64 beta (+.f64 1 alpha)) (neg.f64 beta)))
(/.f64 -1 (*.f64 (neg.f64 beta) (/.f64 beta (+.f64 1 alpha))))
(/.f64 (+.f64 -1 (neg.f64 alpha)) (neg.f64 (*.f64 beta beta)))
(/.f64 (+.f64 -1 (neg.f64 alpha)) (*.f64 (neg.f64 beta) beta))
(/.f64 (+.f64 -1 (neg.f64 alpha)) (*.f64 beta (neg.f64 beta)))
(/.f64 (neg.f64 (/.f64 (+.f64 1 alpha) beta)) (neg.f64 beta))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) 1) (*.f64 (neg.f64 beta) beta))
(/.f64 (*.f64 (+.f64 1 alpha) -1) (*.f64 beta (neg.f64 beta)))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) -1) (*.f64 (neg.f64 beta) (neg.f64 beta)))
(/.f64 (*.f64 -1 (+.f64 -1 (neg.f64 alpha))) (*.f64 (neg.f64 beta) (neg.f64 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (sqrt.f64 beta)) (sqrt.f64 beta))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) 1) beta)
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 beta)) (neg.f64 beta))
(/.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (neg.f64 beta))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) -1) (neg.f64 beta))
(/.f64 (*.f64 (/.f64 1 beta) (+.f64 -1 (neg.f64 alpha))) (neg.f64 beta))
(pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 2))
(log.f64 (exp.f64 (*.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))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3) (pow.f64 beta 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3) (/.f64 (pow.f64 beta -2) beta)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 beta -2) beta) (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta beta))))
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 beta (+.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 1 (*.f64 beta (/.f64 beta (+.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 1 (/.f64 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 1 (/.f64 (*.f64 beta beta) (+.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 (+.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 1 alpha) (/.f64 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 (+.f64 1 alpha) (/.f64 (*.f64 beta 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))
(/.f64 (/.f64 (+.f64 1 alpha) 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 1 beta) (/.f64 beta (+.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 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (/.f64 beta (cbrt.f64 (/.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 (+.f64 1 alpha) beta)) (/.f64 beta (sqrt.f64 (/.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 -1 (*.f64 (/.f64 beta (+.f64 1 alpha)) (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 -1 (*.f64 (neg.f64 beta) (/.f64 beta (+.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 (+.f64 -1 (neg.f64 alpha)) (neg.f64 (*.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 -1 (neg.f64 alpha)) (*.f64 (neg.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 -1 (neg.f64 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))
(/.f64 (neg.f64 (/.f64 (+.f64 1 alpha) 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 (+.f64 -1 (neg.f64 alpha)) 1) (*.f64 (neg.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 (+.f64 1 alpha) -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 (+.f64 -1 (neg.f64 alpha)) -1) (*.f64 (neg.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 (+.f64 -1 (neg.f64 alpha))) (*.f64 (neg.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 (/.f64 (+.f64 1 alpha) beta) (sqrt.f64 beta)) (sqrt.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 (/.f64 (+.f64 1 alpha) beta) 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 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.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 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 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 (/.f64 (+.f64 1 alpha) 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 (/.f64 (+.f64 1 alpha) beta) -1) (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 (/.f64 1 beta) (+.f64 -1 (neg.f64 alpha))) (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))
(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 (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 (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 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 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 (exp.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))
(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))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3) (pow.f64 beta 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))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3) (/.f64 (pow.f64 beta -2) 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))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 beta -2) beta) (pow.f64 (/.f64 (+.f64 1 alpha) beta) 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))
(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))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta beta))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 beta beta))
(*.f64 (pow.f64 beta -2) (exp.f64 (log1p.f64 alpha)))
(exp.f64 (fma.f64 -2 (log.f64 beta) (log1p.f64 alpha)))

localize52.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 alpha (+.f64 2 beta))
0.0b
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
3.2b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
Compiler

Compiled 69 to 46 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite60.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
856×pow1_binary64
804×add-log-exp_binary64
803×log1p-expm1-u_binary64
803×expm1-log1p-u_binary64
790×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11427
220577
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 alpha (+.f64 2 beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 alpha (+.f64 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 alpha alpha) (-.f64 (-.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (-.f64 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 alpha (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (-.f64 (-.f64 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 alpha 2) beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (+.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (-.f64 alpha 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (neg.f64 (-.f64 (-.f64 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (*.f64 beta beta)) (-.f64 (+.f64 alpha 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 alpha (+.f64 2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 alpha (+.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 2 beta) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (cbrt.f64 (+.f64 2 beta)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 2 beta)) (sqrt.f64 (+.f64 2 beta)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 2 beta))))))

simplify50.0ms (0.3%)

Algorithm
egg-herbie
Rules
977×fma-neg_binary64
515×associate-*l*_binary64
469×associate-*r*_binary64
384×distribute-rgt-in_binary64
360×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
099659
1285644
21023626
36752626
Stop Event
node limit
Counts
59 → 52
Calls
Call 1
Inputs
(+.f64 beta 2)
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 2 alpha)
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(-.f64 (+.f64 1 (+.f64 alpha (+.f64 2 beta))) 1)
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 (-.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (-.f64 alpha 2) beta)))
(*.f64 (+.f64 alpha (+.f64 2 beta)) 1)
(*.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
(*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha)))))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (-.f64 (-.f64 alpha 2) beta)))
(/.f64 1 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 alpha 2) beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (+.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (-.f64 alpha 2) beta))
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha)))))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (neg.f64 (-.f64 (-.f64 alpha 2) beta)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (*.f64 beta beta)) (-.f64 (+.f64 alpha 2) beta))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 1)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 3)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 2 beta))))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 2 beta))))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 2 beta))))
(exp.f64 (log.f64 (+.f64 alpha (+.f64 2 beta))))
(fma.f64 1 alpha (+.f64 2 beta))
(fma.f64 1 (+.f64 2 beta) alpha)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (cbrt.f64 (+.f64 2 beta)) alpha)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 2 beta))
(fma.f64 (sqrt.f64 (+.f64 2 beta)) (sqrt.f64 (+.f64 2 beta)) alpha)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 2 beta))
Outputs
(+.f64 beta 2)
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 2 alpha)
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(-.f64 (+.f64 1 (+.f64 alpha (+.f64 2 beta))) 1)
(+.f64 beta (+.f64 2 alpha))
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 (-.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (-.f64 alpha 2) beta)))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (+.f64 alpha -2) beta))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 -2 (-.f64 alpha beta)))
(*.f64 (+.f64 alpha (+.f64 2 beta)) 1)
(+.f64 beta (+.f64 2 alpha))
(*.f64 1 (+.f64 alpha (+.f64 2 beta)))
(+.f64 beta (+.f64 2 alpha))
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))
(+.f64 beta (+.f64 2 alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))
(+.f64 beta (+.f64 2 alpha))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
(+.f64 beta (+.f64 2 alpha))
(*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta 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)) (fma.f64 alpha (+.f64 -2 (-.f64 alpha beta)) (pow.f64 (+.f64 beta 2) 2)))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (-.f64 (-.f64 alpha 2) beta)))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (+.f64 alpha -2) beta))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 -2 (-.f64 alpha beta)))
(/.f64 1 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta 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)) (fma.f64 alpha (+.f64 -2 (-.f64 alpha beta)) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 1 (/.f64 (-.f64 (-.f64 alpha 2) beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (+.f64 alpha -2) beta))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 -2 (-.f64 alpha beta)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta 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)) (fma.f64 alpha (+.f64 -2 (-.f64 alpha beta)) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (+.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta 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)) (fma.f64 alpha (+.f64 -2 (-.f64 alpha beta)) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (-.f64 alpha 2) beta))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (+.f64 alpha -2) beta))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 -2 (-.f64 alpha beta)))
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta 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)) (fma.f64 alpha (+.f64 -2 (-.f64 alpha beta)) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (neg.f64 (-.f64 (-.f64 alpha 2) beta)))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (+.f64 alpha -2) beta))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 -2 (-.f64 alpha beta)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) beta))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (fma.f64 (+.f64 2 alpha) (+.f64 2 alpha) (*.f64 beta (-.f64 beta (+.f64 2 alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (fma.f64 beta (-.f64 beta (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 2 alpha))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 2 (-.f64 beta alpha)))))
(/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) alpha))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (+.f64 alpha -2) beta))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 -2 (-.f64 alpha beta)))
(/.f64 (-.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (*.f64 beta beta)) (-.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 (*.f64 (+.f64 2 alpha) (+.f64 2 alpha)) (*.f64 beta beta)) (+.f64 alpha (-.f64 2 beta)))
(/.f64 (-.f64 (*.f64 (+.f64 2 alpha) (+.f64 2 alpha)) (*.f64 beta beta)) (+.f64 2 (-.f64 alpha beta)))
(/.f64 (+.f64 beta (+.f64 2 alpha)) 1)
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 1)
(+.f64 beta (+.f64 2 alpha))
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3) 1/3)
(+.f64 beta (+.f64 2 alpha))
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 3)
(+.f64 beta (+.f64 2 alpha))
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)
(+.f64 beta (+.f64 2 alpha))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))
(+.f64 beta (+.f64 2 alpha))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 2 beta))))
(+.f64 beta (+.f64 2 alpha))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3))
(+.f64 beta (+.f64 2 alpha))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 2 beta))))
(+.f64 beta (+.f64 2 alpha))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 2 beta))))
(+.f64 beta (+.f64 2 alpha))
(exp.f64 (log.f64 (+.f64 alpha (+.f64 2 beta))))
(+.f64 beta (+.f64 2 alpha))
(fma.f64 1 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(fma.f64 1 (+.f64 2 beta) alpha)
(+.f64 beta (+.f64 2 alpha))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (cbrt.f64 (+.f64 2 beta)) alpha)
(+.f64 beta (+.f64 2 alpha))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(fma.f64 (sqrt.f64 (+.f64 2 beta)) (sqrt.f64 (+.f64 2 beta)) alpha)
(+.f64 beta (+.f64 2 alpha))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 66 to 43 computations (34.8% saved)

series11.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite76.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
818×prod-diff_binary64
294×expm1-udef_binary64
294×log1p-udef_binary64
168×add-sqr-sqrt_binary64
164×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01347
131941
2535241
Stop Event
node limit
Counts
2 → 97
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (/.f64 1 beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (neg.f64 alpha) -1) beta) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (/.f64 1 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 1 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta (+.f64 1 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 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simplify114.0ms (0.7%)

Algorithm
egg-herbie
Rules
381×distribute-rgt-in_binary64
362×distribute-lft-in_binary64
301×*-commutative_binary64
301×associate-/l*_binary64
299×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05676535
118686258
Stop Event
node limit
Counts
145 → 244
Calls
Call 1
Inputs
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2))))))
(/.f64 1 beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta alpha))) (+.f64 (/.f64 2 (*.f64 beta alpha)) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 2))))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 beta alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 beta alpha))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 beta alpha)))))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 2 alpha))) (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 2 alpha))) (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 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 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (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 2 alpha) 3)) (pow.f64 beta 5))) (/.f64 alpha (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 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 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (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 2 alpha) 3)) (pow.f64 beta 5))) (/.f64 alpha (pow.f64 beta 2))))))
(/.f64 (+.f64 beta 1) (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))
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(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1))
(+.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 beta (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(+.f64 (*.f64 beta (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1) (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) beta))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) beta) (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))) 1)
(*.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 1 beta) (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 1)
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 (neg.f64 alpha) -1) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (/.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 1 beta))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))) (/.f64 (/.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) 1) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) 1) (/.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (+.f64 1 beta))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (+.f64 1 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))) 2)) (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))) 2)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))) 2)) (/.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) 2) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))) (/.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))))
(*.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1) (+.f64 1 beta))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) 1) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (neg.f64 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (neg.f64 beta) -1))
(*.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (cbrt.f64 (+.f64 1 beta)))
(*.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (sqrt.f64 (+.f64 1 beta))) (sqrt.f64 (+.f64 1 beta)))
(pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 1)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))) 2)
(pow.f64 (/.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))) -1)
(neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 1 beta))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (+.f64 1 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))
(exp.f64 (+.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (log1p.f64 beta)))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (log1p.f64 beta)) 1))
Outputs
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.f64 (/.f64 1 beta) (+.f64 beta 2))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2))))
(fma.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha (/.f64 1 (*.f64 beta (+.f64 beta 2))))
(fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 2)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2))) alpha (/.f64 (/.f64 1 beta) (+.f64 beta 2)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2)))))
(fma.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (fma.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha (/.f64 1 (*.f64 beta (+.f64 beta 2)))))
(fma.f64 (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 2)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2))) alpha (/.f64 (/.f64 1 beta) (+.f64 beta 2))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2))))))
(fma.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3) (fma.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (fma.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha (/.f64 1 (*.f64 beta (+.f64 beta 2))))))
(fma.f64 (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 2)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2))) alpha (/.f64 (/.f64 1 beta) (+.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta alpha))) (+.f64 (/.f64 2 (*.f64 beta alpha)) (/.f64 1 alpha)))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (/.f64 2 (*.f64 beta alpha)) (/.f64 1 alpha))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))
(+.f64 (/.f64 1 beta) (-.f64 (neg.f64 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (/.f64 1 beta) (+.f64 1 (/.f64 2 beta)))) (*.f64 alpha alpha))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha))))
(-.f64 (-.f64 (/.f64 1 beta) (*.f64 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)) (-.f64 (+.f64 (/.f64 1 beta) -1) (/.f64 2 beta)))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 2))))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))
(-.f64 (+.f64 (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (pow.f64 alpha 3) (-.f64 (/.f64 1 beta) (+.f64 1 (/.f64 2 beta)))))) (neg.f64 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (/.f64 1 beta) (+.f64 1 (/.f64 2 beta)))) (*.f64 alpha alpha)))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))
(+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 beta) -1) (/.f64 2 beta))) (*.f64 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)) (-.f64 (+.f64 (/.f64 1 beta) -1) (/.f64 2 beta)))) (-.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 beta alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta alpha)) (neg.f64 (/.f64 (+.f64 beta 2) (*.f64 beta alpha)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 (+.f64 beta 2) (*.f64 beta alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 beta alpha))))))
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 beta 2) beta))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (neg.f64 (/.f64 (+.f64 beta 2) (*.f64 beta alpha))))))
(+.f64 (/.f64 1 beta) (-.f64 (-.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 (+.f64 beta 2) (*.f64 beta alpha))) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 (/.f64 1 beta) (/.f64 (+.f64 beta 2) beta)) alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 beta alpha)))))))
(+.f64 (/.f64 1 beta) (+.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 beta 2) beta))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (neg.f64 (/.f64 (+.f64 beta 2) (*.f64 beta alpha))))) (/.f64 (+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 beta 2) beta))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (-.f64 (-.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 (+.f64 beta 2) (*.f64 beta alpha))) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 (/.f64 1 beta) (/.f64 (+.f64 beta 2) beta)) alpha))) (*.f64 (/.f64 (-.f64 (/.f64 1 beta) (/.f64 (+.f64 beta 2) beta)) (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))))
(fma.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 beta) (+.f64 2 alpha)) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 2 alpha))) (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)))))
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(*.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 beta))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 2) alpha))) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 beta))) 2)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))) 2)) (/.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 beta))) 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (*.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 beta))) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)))) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))) 2))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 beta)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)))) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 beta)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)))) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) 2) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))) (/.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 beta)))) (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 beta)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)))) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))))
(*.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1) (+.f64 1 beta))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) 1) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (neg.f64 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (neg.f64 beta) -1))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 2) alpha)) (+.f64 -1 (neg.f64 beta))) (neg.f64 (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) (-.f64 -1 beta)) (neg.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(*.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (cbrt.f64 (+.f64 1 beta)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(*.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (sqrt.f64 (+.f64 1 beta))) (sqrt.f64 (+.f64 1 beta)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 1)
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 3) 1/3)
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))) 3)
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))) 2)
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(pow.f64 (/.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))) -1)
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 -1 (neg.f64 alpha)) (*.f64 beta (+.f64 (+.f64 beta 2) alpha))) (*.f64 (/.f64 1 (neg.f64 (+.f64 (+.f64 beta 2) alpha))) (+.f64 1 beta)))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (neg.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 1 beta))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 beta)) 2))
(fabs.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (+.f64 1 beta)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 3))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 2) alpha)) 3) (pow.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 beta)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha)))) 3) (pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(exp.f64 (+.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (log1p.f64 beta)))
(exp.f64 (+.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (log1p.f64 beta)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (exp.f64 (log1p.f64 beta)))
(exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (log1p.f64 beta)) 1))
(exp.f64 (+.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (log1p.f64 beta)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (exp.f64 (log1p.f64 beta)))

eval959.0ms (5.8%)

Compiler

Compiled 52827 to 38439 computations (27.2% saved)

prune591.0ms (3.6%)

Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New120951214
Fresh02525
Picked101
Done156
Total1211351246
Error
0b
Counts
1246 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
34.3b
(pow.f64 beta -2)
0.1b
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
5.4b
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 3)) (+.f64 beta 2))
17.6b
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
45.0b
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
34.0b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 (*.f64 beta beta) (*.f64 2 (*.f64 beta (+.f64 2 alpha))))) (+.f64 (+.f64 alpha beta) 3))
5.4b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
0.7b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
34.6b
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
5.6b
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
24.9b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
45.6b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 beta beta))
29.8b
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
42.7b
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
43.4b
(/.f64 (/.f64 alpha beta) beta)
33.8b
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
34.3b
(/.f64 (/.f64 1 beta) beta)
32.7b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
11.7b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 3 alpha) beta) 2))))
48.7b
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
46.2b
(/.f64 alpha (*.f64 beta beta))
30.3b
(/.f64 1 (*.f64 (/.f64 beta (+.f64 1 alpha)) beta))
34.6b
(/.f64 1 (*.f64 beta beta))
60.3b
(/.f64 1 beta)
33.9b
(/.f64 1/6 (+.f64 2 alpha))
29.3b
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
5.6b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 6 (*.f64 beta (+.f64 5 beta)))))
5.6b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (/.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 2 beta)) (+.f64 beta 3))))
33.8b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 beta (+.f64 5 beta))))
34.7b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 (*.f64 -5/36 beta) 1/6))
29.8b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
43.4b
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
30.9b
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
17.8b
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
29.8b
(*.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
Compiler

Compiled 559 to 398 computations (28.8% saved)

regimes182.0ms (1.1%)

Counts
67 → 1
Calls
Call 1
Inputs
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (/.f64 beta (+.f64 1 alpha)) beta))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(*.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 (*.f64 -5/36 beta) 1/6))
(/.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 beta (+.f64 5 beta))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 6 (*.f64 beta (+.f64 5 beta)))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (/.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 2 beta)) (+.f64 beta 3))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 alpha)) (+.f64 (+.f64 3 alpha) beta))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 (*.f64 beta beta) (*.f64 2 (*.f64 beta (+.f64 2 alpha))))) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 3 beta)) beta))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 3 alpha) 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 1 (*.f64 beta beta)) (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta))) (*.f64 2 (*.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 (+.f64 2 alpha) beta)))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (/.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 2 alpha))))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(pow.f64 beta -2)
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (pow.f64 beta 3))
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 2 alpha) (*.f64 beta 2))))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (-.f64 beta alpha) -2)) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 3 (+.f64 alpha beta)))))
(/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
Outputs
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))
Calls

3 calls:

55.0ms
beta
38.0ms
alpha
16.0ms
(/.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 1256 to 795 computations (36.7% saved)

regimes123.0ms (0.7%)

Counts
48 → 1
Calls
Call 1
Inputs
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (/.f64 beta (+.f64 1 alpha)) beta))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(*.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 (*.f64 -5/36 beta) 1/6))
(/.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 beta (+.f64 5 beta))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 6 (*.f64 beta (+.f64 5 beta)))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (/.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 2 beta)) (+.f64 beta 3))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
Outputs
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
Calls

2 calls:

27.0ms
alpha
21.0ms
beta
Results
ErrorSegmentsBranch
0.7b1alpha
0.7b1beta
Compiler

Compiled 716 to 453 computations (36.7% saved)

regimes134.0ms (0.8%)

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

2 calls:

77.0ms
beta
43.0ms
alpha
Results
ErrorSegmentsBranch
0.7b2alpha
0.3b2beta
Compiler

Compiled 691 to 436 computations (36.9% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
4.3568523386310324e+45
2.6518895505783144e+49
Results
17.0ms128×body256valid
Compiler

Compiled 410 to 292 computations (28.8% saved)

regimes126.0ms (0.8%)

Counts
46 → 2
Calls
Call 1
Inputs
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (/.f64 beta (+.f64 1 alpha)) beta))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(*.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 (*.f64 -5/36 beta) 1/6))
(/.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 beta (+.f64 5 beta))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 6 (*.f64 beta (+.f64 5 beta)))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (/.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 2 beta)) (+.f64 beta 3))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
Outputs
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
Calls

2 calls:

63.0ms
alpha
37.0ms
beta
Results
ErrorSegmentsBranch
0.7b2alpha
0.3b2beta
Compiler

Compiled 666 to 420 computations (36.9% saved)

bsearch5.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
5.0ms
4.3568523386310324e+45
2.6518895505783144e+49
Results
4.0ms32×body256valid
Compiler

Compiled 134 to 94 computations (29.9% saved)

regimes90.0ms (0.5%)

Counts
45 → 2
Calls
Call 1
Inputs
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (/.f64 beta (+.f64 1 alpha)) beta))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(*.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 (*.f64 -5/36 beta) 1/6))
(/.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 beta (+.f64 5 beta))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 6 (*.f64 beta (+.f64 5 beta)))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (/.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 2 beta)) (+.f64 beta 3))))
Outputs
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
Calls

2 calls:

37.0ms
beta
37.0ms
alpha
Results
ErrorSegmentsBranch
0.8b2alpha
0.5b2beta
Compiler

Compiled 641 to 403 computations (37.1% saved)

bsearch31.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
30.0ms
36153654281764600.0
1400357743072187000.0
Results
29.0ms64×body256valid
Compiler

Compiled 242 to 164 computations (32.2% saved)

regimes211.0ms (1.3%)

Counts
43 → 2
Calls
Call 1
Inputs
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (/.f64 beta (+.f64 1 alpha)) beta))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(*.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 (*.f64 -5/36 beta) 1/6))
(/.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 beta (+.f64 5 beta))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 6 (*.f64 beta (+.f64 5 beta)))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
Outputs
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 6 (*.f64 beta (+.f64 5 beta)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
Calls

2 calls:

143.0ms
alpha
55.0ms
beta
Results
ErrorSegmentsBranch
0.8b2alpha
0.8b2beta
Compiler

Compiled 593 to 373 computations (37.1% saved)

bsearch18.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
36153654281764600.0
1400357743072187000.0
Results
16.0ms112×body256valid
Compiler

Compiled 364 to 266 computations (26.9% saved)

regimes74.0ms (0.4%)

Counts
37 → 2
Calls
Call 1
Inputs
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (/.f64 beta (+.f64 1 alpha)) beta))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(*.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 (*.f64 -5/36 beta) 1/6))
(/.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 beta (+.f64 5 beta))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 6 (*.f64 beta (+.f64 5 beta)))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
Outputs
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 6 (*.f64 beta (+.f64 5 beta)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
Calls

2 calls:

32.0ms
beta
32.0ms
alpha
Results
ErrorSegmentsBranch
0.8b2alpha
0.8b2beta
Compiler

Compiled 465 to 289 computations (37.8% saved)

bsearch17.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
36153654281764600.0
1400357743072187000.0
Results
15.0ms112×body256valid
Compiler

Compiled 322 to 238 computations (26.1% saved)

regimes116.0ms (0.7%)

Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (/.f64 beta (+.f64 1 alpha)) beta))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(*.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 (*.f64 -5/36 beta) 1/6))
(/.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 beta (+.f64 5 beta))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
Outputs
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
Calls

2 calls:

55.0ms
alpha
27.0ms
beta
Results
ErrorSegmentsBranch
0.8b2alpha
0.8b2beta
Compiler

Compiled 368 to 232 computations (37% saved)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
36153654281764600.0
1400357743072187000.0
Results
17.0ms112×body256valid
Compiler

Compiled 322 to 238 computations (26.1% saved)

regimes70.0ms (0.4%)

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

2 calls:

36.0ms
beta
26.0ms
alpha
Results
ErrorSegmentsBranch
0.8b2alpha
0.8b2beta
Compiler

Compiled 349 to 218 computations (37.5% saved)

bsearch22.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
36153654281764600.0
1400357743072187000.0
Results
15.0ms112×body256valid
Compiler

Compiled 308 to 224 computations (27.3% saved)

regimes76.0ms (0.5%)

Counts
29 → 2
Calls
Call 1
Inputs
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (/.f64 beta (+.f64 1 alpha)) beta))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(*.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 (*.f64 -5/36 beta) 1/6))
(/.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 2 alpha))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 beta (+.f64 5 beta))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
Outputs
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3)))
Calls

2 calls:

41.0ms
alpha
28.0ms
beta
Results
ErrorSegmentsBranch
1.0b2alpha
0.8b2beta
Compiler

Compiled 313 to 192 computations (38.7% saved)

bsearch5.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
5.0ms
36153654281764600.0
1400357743072187000.0
Results
4.0ms32×body256valid
Compiler

Compiled 118 to 84 computations (28.8% saved)

regimes119.0ms (0.7%)

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

2 calls:

78.0ms
alpha
31.0ms
beta
Results
ErrorSegmentsBranch
8.9b4alpha
1.7b2beta
Compiler

Compiled 296 to 180 computations (39.2% saved)

bsearch32.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
31.0ms
8.434054515288997e-6
3.3862774257811075
Results
29.0ms144×body256valid
Compiler

Compiled 366 to 271 computations (26% saved)

regimes84.0ms (0.5%)

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

2 calls:

40.0ms
alpha
21.0ms
beta
Results
ErrorSegmentsBranch
9.1b4alpha
1.8b2beta
Compiler

Compiled 215 to 126 computations (41.4% saved)

bsearch24.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
8.434054515288997e-6
3.3862774257811075
Results
21.0ms144×body256valid
Compiler

Compiled 330 to 244 computations (26.1% saved)

regimes93.0ms (0.6%)

Counts
20 → 2
Calls
Call 1
Inputs
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (/.f64 beta (+.f64 1 alpha)) beta))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(*.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
Calls

2 calls:

68.0ms
alpha
19.0ms
beta
Results
ErrorSegmentsBranch
9.1b4alpha
2.0b2beta
Compiler

Compiled 170 to 101 computations (40.6% saved)

bsearch50.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
50.0ms
8.434054515288997e-6
3.3862774257811075
Results
48.0ms144×body256valid
Compiler

Compiled 240 to 181 computations (24.6% saved)

regimes78.0ms (0.5%)

Counts
15 → 2
Calls
Call 1
Inputs
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (/.f64 beta (+.f64 1 alpha)) beta))
(/.f64 (/.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3))
(*.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Calls

2 calls:

59.0ms
alpha
15.0ms
beta
Results
ErrorSegmentsBranch
15.3b6alpha
2.1b2beta
Compiler

Compiled 109 to 65 computations (40.4% saved)

bsearch17.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
3.3862774257811075
20.698869388489022
Results
13.0ms96×body256valid
Compiler

Compiled 150 to 112 computations (25.3% saved)

regimes50.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
Calls

2 calls:

31.0ms
alpha
17.0ms
beta
Results
ErrorSegmentsBranch
16.5b5alpha
2.3b3beta
Compiler

Compiled 64 to 36 computations (43.8% saved)

bsearch35.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
6.247940285553795e+152
5.314923252417411e+154
16.0ms
3.3862774257811075
20.698869388489022
Results
32.0ms208×body256valid
Compiler

Compiled 276 to 196 computations (29% saved)

regimes38.0ms (0.2%)

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

2 calls:

22.0ms
alpha
14.0ms
beta
Results
ErrorSegmentsBranch
16.8b5alpha
3.9b3beta
Compiler

Compiled 43 to 24 computations (44.2% saved)

bsearch39.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
4.255140571620074e+159
3.1126875054605e+164
14.0ms
3.3862774257811075
20.698869388489022
Results
35.0ms240×body256valid
Compiler

Compiled 282 to 205 computations (27.3% saved)

regimes32.0ms (0.2%)

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

2 calls:

23.0ms
alpha
8.0ms
beta
Results
ErrorSegmentsBranch
19.5b5alpha
6.6b2beta
Compiler

Compiled 31 to 19 computations (38.7% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
3.3862774257811075
20.698869388489022
Results
19.0ms96×body256valid
Compiler

Compiled 138 to 106 computations (23.2% saved)

regimes27.0ms (0.2%)

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

2 calls:

19.0ms
alpha
7.0ms
beta
Results
ErrorSegmentsBranch
19.7b5alpha
6.9b2beta
Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
3.3862774257811075
20.698869388489022
Results
15.0ms96×body256valid
Compiler

Compiled 138 to 106 computations (23.2% saved)

regimes7.0ms (0%)

Accuracy

Total -27.3b remaining (-80.3%)

Threshold costs -27.3b (-80.3%)

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

2 calls:

3.0ms
alpha
3.0ms
beta
Results
ErrorSegmentsBranch
33.9b1alpha
33.9b1beta
Compiler

Compiled 16 to 12 computations (25% saved)

simplify23.0ms (0.1%)

Algorithm
egg-herbie
Rules
17×+-commutative_binary64
13×*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137824
1175824
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(if (<=.f64 beta 25999999999999998868362043562994043738393094914048) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 500000000000000021922921522538098677317023825920) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 1000000000000000000) (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(if (<=.f64 beta 240000000000000000) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 6 (*.f64 beta (+.f64 5 beta))))) (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(if (<=.f64 beta 78000000000000000) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 6 (*.f64 beta (+.f64 5 beta))))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 38000000000000000) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 48000000000000000) (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 50000000000000000) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 3152519739159347/4503599627370496) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 (*.f64 -5/36 beta) 1/6)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 2386907802506363/2251799813685248) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 (*.f64 -5/36 beta) 1/6)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 2871044762448691/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 4841369599423283/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4728779608739021/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (if (<=.f64 beta 15999999999999999995734448065970459917688624305894986980573443008389914872358780186766716153033074535098710061184459360326281505506064483522128253756112896) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4165829655317709/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (if (<=.f64 beta 31999999999999997711510207589389464713783471041903010180157788413688717001756611955735688976151878418367413453805385584758455479350040980781410012250774255435776) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 15/4) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1 (*.f64 beta beta)))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 beta)
Outputs
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(if (<=.f64 beta 25999999999999998868362043562994043738393094914048) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 25999999999999998868362043562994043738393094914048) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 3 (+.f64 alpha beta))))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 500000000000000021922921522538098677317023825920) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 500000000000000021922921522538098677317023825920) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 1000000000000000000) (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(if (<=.f64 beta 1000000000000000000) (/.f64 (/.f64 (+.f64 1 (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 3 (+.f64 alpha beta))) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))))
(if (<=.f64 beta 240000000000000000) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 6 (*.f64 beta (+.f64 5 beta))))) (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(if (<=.f64 beta 240000000000000000) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 6 (*.f64 beta (+.f64 beta 5))))) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 2)))))
(if (<=.f64 beta 78000000000000000) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 6 (*.f64 beta (+.f64 5 beta))))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 78000000000000000) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 6 (*.f64 beta (+.f64 beta 5))))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 38000000000000000) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 38000000000000000) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 3 beta)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 48000000000000000) (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 48000000000000000) (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 3 beta)) (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 50000000000000000) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 50000000000000000) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 3 beta))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 3152519739159347/4503599627370496) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 (*.f64 -5/36 beta) 1/6)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 3152519739159347/4503599627370496) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 (*.f64 beta -5/36) 1/6)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 2386907802506363/2251799813685248) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 (*.f64 -5/36 beta) 1/6)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 2386907802506363/2251799813685248) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 (*.f64 beta -5/36) 1/6)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 3 (+.f64 alpha beta))))
(if (<=.f64 beta 2871044762448691/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 2871044762448691/1125899906842624) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 3 (+.f64 alpha beta))))
(if (<=.f64 beta 4841369599423283/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4841369599423283/1125899906842624) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4728779608739021/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (if (<=.f64 beta 15999999999999999995734448065970459917688624305894986980573443008389914872358780186766716153033074535098710061184459360326281505506064483522128253756112896) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4728779608739021/1125899906842624) (/.f64 1/6 (+.f64 alpha 2)) (if (<=.f64 beta 15999999999999999995734448065970459917688624305894986980573443008389914872358780186766716153033074535098710061184459360326281505506064483522128253756112896) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4165829655317709/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (if (<=.f64 beta 31999999999999997711510207589389464713783471041903010180157788413688717001756611955735688976151878418367413453805385584758455479350040980781410012250774255435776) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4165829655317709/1125899906842624) (/.f64 1/6 (+.f64 alpha 2)) (if (<=.f64 beta 31999999999999997711510207589389464713783471041903010180157788413688717001756611955735688976151878418367413453805385584758455479350040980781410012250774255435776) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 4) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 15/4) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 15/4) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 1 (*.f64 beta beta)))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 alpha 2))
(/.f64 1 beta)
Compiler

Compiled 602 to 427 computations (29.1% saved)

soundness191.0ms (1.2%)

Algorithm
egg-herbie
Rules
681×distribute-rgt-in_binary64
661×distribute-lft-in_binary64
485×associate-*l*_binary64
473×associate-/l/_binary64
389×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01540
13638
211738
362437
4430437
5499337
6525437
7579337
8631137
9632437
10655437
11668137
12682437
13712437
14792837
Stop Event
node limit
Compiler

Compiled 605 to 386 computations (36.2% saved)

end268.0ms (1.6%)

Compiler

Compiled 618 to 421 computations (31.9% saved)

Profiling

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