Details

Time bar (total: 16.5s)

analyze51.0ms (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)

sample1.4s (8.6%)

Results
1.4s8256×body256valid
Bogosity

preprocess76.0ms (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)

simplify113.0ms (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
3.3b
Counts
7 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
3.4b
(/.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))
3.9b
(/.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))
8.3b
(/.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)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
0.0b
(*.f64 (+.f64 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)))
8.2b
(/.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)

series25.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
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))))
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
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))))

rewrite127.0ms (0.8%)

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))))))

simplify150.0ms (0.9%)

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))

localize32.0ms (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))
18.8b
(/.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)

series23.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
beta
@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))
3.0ms
alpha
@0
(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.0ms
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))
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))))
1.0ms
beta
@-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))

rewrite88.0ms (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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simplify161.0ms (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)

localize32.0ms (0.2%)

Local error

Found 4 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)))
0.0b
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 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))
3.1b
(/.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)

series15.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite115.0ms (0.7%)

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
015100
134982
2577182
Stop Event
node limit
Counts
4 → 160
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 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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((x pow.f64 (/.f64 1 (/.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 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 log.f64 (+.f64 1 (expm1.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 cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 log1p.f64 (expm1.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 exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1))))))

simplify138.0ms (0.8%)

Algorithm
egg-herbie
Rules
904×distribute-rgt-in_binary64
542×fma-def_binary64
471×times-frac_binary64
230×+-commutative_binary64
229×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093013046
1317312489
Stop Event
node limit
Counts
256 → 463
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(*.f64 -1 (-.f64 (*.f64 -1 beta) 1))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(*.f64 -1 (-.f64 (*.f64 -1 alpha) 1))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 alpha) 1)))
(+.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))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1))) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (pow.f64 beta 3))) (+.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)))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 alpha 2))))
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(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))
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(+.f64 beta 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 3 alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
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(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha))
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(*.f64 (/.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 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))) (cbrt.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)))))
(*.f64 (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))) (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (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 (+.f64 alpha (+.f64 beta 2)) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 1 (+.f64 alpha (+.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 (+.f64 alpha (+.f64 beta 2)) 2))) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))) (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) -1)) (+.f64 (+.f64 alpha beta) 1))
(pow.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)
(pow.f64 (pow.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))) 3) 1/3)
(pow.f64 (cbrt.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)))) 3)
(pow.f64 (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.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))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))
(sqrt.f64 (pow.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))) 2))
(log.f64 (exp.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)))))
(log.f64 (+.f64 1 (expm1.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))))))
(cbrt.f64 (pow.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))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(expm1.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)))))
(log1p.f64 (expm1.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)))))
(exp.f64 (log.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)))))
(exp.f64 (*.f64 (log.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))
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 3)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 (+.f64 alpha beta) 1)) (/.f64 1 (+.f64 (+.f64 alpha beta) 1)))
(*.f64 1 (+.f64 alpha (+.f64 beta 3)))
(*.f64 (+.f64 alpha (+.f64 beta 3)) 1)
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (+.f64 alpha beta) 1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 1 (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))))
(/.f64 1 (/.f64 (+.f64 (+.f64 alpha beta) 1) (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) -1) (+.f64 (+.f64 alpha beta) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (+.f64 alpha beta) 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) 27) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (*.f64 (+.f64 alpha beta) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (-.f64 (+.f64 alpha beta) 3))
(pow.f64 (+.f64 alpha (+.f64 beta 3)) 1)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 3)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta 3)))))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3))
(hypot.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(hypot.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(hypot.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))
(hypot.f64 (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 3))))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta 3))))
(exp.f64 (log.f64 (+.f64 alpha (+.f64 beta 3))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 3))) 1))
(fma.f64 1 (+.f64 alpha beta) 3)
(fma.f64 1 (+.f64 alpha (+.f64 beta 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) 3)
(fma.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1)
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 1)
(*.f64 1 (/.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))) (*.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))) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 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 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1)
(*.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 (/.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 (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 (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 (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))))
(*.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 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 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 (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 (+.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 (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 (+.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 (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 (/.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 (+.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 (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 (/.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 (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 (/.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 (/.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)) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (fma.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 alpha alpha) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2)))))
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(fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (-.f64 (neg.f64 (+.f64 1 alpha)) (*.f64 (fma.f64 -1 alpha -1) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))) (*.f64 (fma.f64 -1 alpha -1) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4)) (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 (+.f64 1 alpha)) (*.f64 (fma.f64 -1 alpha -1) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))) (pow.f64 beta 3)) (/.f64 (fma.f64 -1 alpha -1) (*.f64 beta beta)))))
(-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 -1 alpha)) (*.f64 beta beta)) (/.f64 (-.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (pow.f64 beta 3))) (/.f64 (fma.f64 (neg.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4)))) (-.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (*.f64 (-.f64 -1 alpha) (-.f64 (*.f64 (+.f64 -4 (*.f64 alpha -2)) (+.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 4)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))))) (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 alpha) 1))) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))))) (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 5))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (-.f64 (*.f64 -1 alpha) 1) (+.f64 3 alpha))) (pow.f64 beta 5)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2))))))))
(+.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (-.f64 (neg.f64 (+.f64 1 alpha)) (*.f64 (fma.f64 -1 alpha -1) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))) (*.f64 (fma.f64 -1 alpha -1) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 (pow.f64 beta 5) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (-.f64 (neg.f64 (+.f64 1 alpha)) (*.f64 (fma.f64 -1 alpha -1) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))) (*.f64 (fma.f64 -1 alpha -1) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (+.f64 1 alpha)) (*.f64 (fma.f64 -1 alpha -1) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (+.f64 1 alpha)) (*.f64 (fma.f64 -1 alpha -1) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))) (/.f64 (pow.f64 beta 5) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 (neg.f64 (fma.f64 -1 alpha -1)) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 5) (*.f64 (fma.f64 -1 alpha -1) (+.f64 alpha 3)))))))))
(+.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4)))) (-.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (*.f64 (-.f64 -1 alpha) (-.f64 (*.f64 (+.f64 -4 (*.f64 alpha -2)) (+.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (pow.f64 beta 5) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (/.f64 (fma.f64 (neg.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4)))) (-.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (*.f64 (-.f64 -1 alpha) (-.f64 (*.f64 (+.f64 -4 (*.f64 alpha -2)) (+.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 4))) (-.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 5) (*.f64 (-.f64 -1 alpha) (+.f64 alpha 3)))) (/.f64 (-.f64 -1 alpha) (*.f64 beta beta))) (/.f64 (-.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (/.f64 (pow.f64 beta 5) (-.f64 (*.f64 (+.f64 -4 (*.f64 alpha -2)) (+.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 (-.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (pow.f64 beta 3))))
(+.f64 beta 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 3 alpha)
(+.f64 alpha 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2)))))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (fma.f64 beta 2 4)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2)))))) alpha (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2)))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (*.f64 beta 2)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (fma.f64 beta 2 4)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (fma.f64 (neg.f64 (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (fma.f64 beta 2 4)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.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 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2)))))) alpha (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2)))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (*.f64 beta 2)))))) (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 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2)))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (*.f64 beta 2))))))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(fma.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (fma.f64 beta 2 4)) (pow.f64 (+.f64 beta 2) 4)))) (-.f64 (fma.f64 (pow.f64 alpha 3) (-.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 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (fma.f64 beta 2 4)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 beta 2 4)))))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (*.f64 alpha alpha) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (fma.f64 beta 2 4)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.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 alpha) (/.f64 1 (*.f64 alpha alpha)))) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 beta 2))))))
(+.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (+.f64 (+.f64 (/.f64 beta alpha) (/.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 alpha) (/.f64 1 (*.f64 alpha alpha)))))) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 beta 2)))))
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(+.f64 (+.f64 (+.f64 beta 2) alpha) 1)
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 3)
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(-.f64 (exp.f64 (log1p.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 1 (/.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 (+.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))) (neg.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(*.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 (/.f64 1 (+.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 (+.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 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 (+.f64 beta 2) alpha))) (+.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))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) (+.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)) (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)) (/.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)))) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))
(*.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 (+.f64 beta 2) alpha)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 4 (*.f64 -2 (+.f64 beta alpha))))) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))
(*.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))) (neg.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(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))

eval1.3s (8%)

Compiler

Compiled 69968 to 49481 computations (29.3% saved)

prune354.0ms (2.1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1252201272
Fresh000
Picked101
Done112
Total1254211275
Error
0.1b
Counts
1275 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
28.1b
(/.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))
62.9b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
3.5b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
62.7b
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
23.7b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
27.8b
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
28.5b
(/.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))
62.0b
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
16.8b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
29.8b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
3.6b
(/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 (+.f64 alpha beta) 3))
36.6b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (pow.f64 beta 3))
27.3b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 3 (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta (+.f64 alpha -3)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta (+.f64 alpha -3))))))
8.7b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))))
8.3b
(/.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))))
9.3b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
36.3b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
62.3b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
45.5b
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
1.8b
(*.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))))
4.1b
(*.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
Compiler

Compiled 997 to 689 computations (30.9% saved)

localize31.0ms (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 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) 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))))
1.8b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
Compiler

Compiled 89 to 59 computations (33.7% saved)

series20.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite97.0ms (0.6%)

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

simplify235.0ms (1.4%)

Algorithm
egg-herbie
Rules
895×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 → 455
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))))))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 3 alpha))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (+.f64 5 (*.f64 2 alpha))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha)) (pow.f64 beta 3))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha)))) (pow.f64 beta 4))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha))))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha)))) (pow.f64 beta 4))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
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(*.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 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 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 1 (*.f64 (+.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 1 (*.f64 (+.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 1 (*.f64 (+.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 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.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 1 (*.f64 (+.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 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.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 (+.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 1 (*.f64 (+.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 1 (*.f64 (+.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 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.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 3)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.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 2))))) (pow.f64 alpha 3) (-.f64 (fma.f64 (-.f64 (/.f64 1 (*.f64 (+.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 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.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 (*.f64 -1 (+.f64 (*.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 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 1 (*.f64 alpha alpha)) (-.f64 (/.f64 1 alpha) (/.f64 (neg.f64 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))) (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 1 alpha) (/.f64 1 (*.f64 alpha alpha))) (/.f64 (-.f64 (fma.f64 beta -1 -2) (+.f64 beta 3)) (*.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 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (-.f64 1 (neg.f64 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))))))))) (/.f64 (neg.f64 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))) (*.f64 alpha alpha))))
(+.f64 (+.f64 (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 alpha) (/.f64 (-.f64 (fma.f64 beta -1 -2) (+.f64 beta 3)) (/.f64 (pow.f64 alpha 3) (+.f64 1 (-.f64 (fma.f64 beta -1 -2) (+.f64 beta 3))))))) (/.f64 (-.f64 (fma.f64 beta -1 -2) (+.f64 beta 3)) (*.f64 alpha alpha)))
(-.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 (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 1 (neg.f64 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))))) (neg.f64 (*.f64 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))) (fma.f64 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))) (-.f64 1 (neg.f64 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))))) (*.f64 (+.f64 (neg.f64 beta) -3) (+.f64 beta 2)))))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (+.f64 (/.f64 1 alpha) (/.f64 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (-.f64 1 (neg.f64 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))))))))))) (/.f64 (neg.f64 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))) (*.f64 alpha alpha)))
(+.f64 (-.f64 (+.f64 (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 alpha) (/.f64 (-.f64 (fma.f64 beta -1 -2) (+.f64 beta 3)) (/.f64 (pow.f64 alpha 3) (+.f64 1 (-.f64 (fma.f64 beta -1 -2) (+.f64 beta 3))))))) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 1 (-.f64 (fma.f64 beta -1 -2) (+.f64 beta 3)))) (*.f64 (-.f64 (fma.f64 beta -1 -2) (+.f64 beta 3)) (fma.f64 (-.f64 (fma.f64 beta -1 -2) (+.f64 beta 3)) (+.f64 1 (-.f64 (fma.f64 beta -1 -2) (+.f64 beta 3))) (*.f64 (+.f64 beta 3) (fma.f64 beta -1 -2))))) (pow.f64 alpha 4))) (/.f64 (-.f64 (fma.f64 beta -1 -2) (+.f64 beta 3)) (*.f64 alpha alpha)))
(/.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)))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 (/.f64 1 (+.f64 2 alpha)) (+.f64 3 alpha))))
(-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 (/.f64 1 (+.f64 2 alpha)) (+.f64 3 alpha))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 beta (fma.f64 2 alpha 5)) (pow.f64 (+.f64 3 alpha) 2))))
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1
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1
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(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))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.9b
(/.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))

rewrite93.0ms (0.6%)

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))))))))

simplify59.0ms (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)))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 beta (+.f64 alpha 2))
0.0b
(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
4.0b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
7.0b
(*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))
Compiler

Compiled 56 to 33 computations (41.1% saved)

series14.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite81.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
667×fma-def_binary64
402×fma-neg_binary64
300×log-div_binary64
271×log1p-udef_binary64
268×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01345
131145
2505945
Stop Event
node limit
Counts
3 → 153
Calls
Call 1
Inputs
(*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(+.f64 beta (+.f64 alpha 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (*.f64 alpha alpha)) (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)) (*.f64 beta (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta alpha) (*.f64 alpha alpha)) (*.f64 2 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha alpha) beta) (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (*.f64 (*.f64 alpha alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha alpha) (+.f64 beta alpha)) (*.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 alpha alpha)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 alpha alpha)) (-.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 alpha alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (pow.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3) (pow.f64 (*.f64 alpha alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (*.f64 alpha alpha) (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 2) (*.f64 alpha alpha) (*.f64 beta (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha alpha) beta (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha alpha) (+.f64 alpha 2) (*.f64 (*.f64 alpha alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha alpha) (+.f64 beta alpha) (*.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta alpha) (*.f64 alpha alpha) (*.f64 2 (*.f64 alpha alpha)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (/.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify105.0ms (0.6%)

Algorithm
egg-herbie
Rules
409×associate-/r*_binary64
286×times-frac_binary64
247×distribute-rgt-in_binary64
245×exp-prod_binary64
222×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05495223
117305135
268675131
Stop Event
node limit
Counts
225 → 272
Calls
Call 1
Inputs
(*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
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alpha
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1))) 2) (+.f64 2 (+.f64 beta alpha))) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1))) (*.f64 alpha alpha)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1))) (*.f64 alpha alpha)) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1))) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1))) 2) (*.f64 alpha alpha)) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1))) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) (+.f64 alpha 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 2)) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))))
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1))) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1))) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))))
(*.f64 (/.f64 1 (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 (+.f64 alpha 1) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 (+.f64 beta 1) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1))) 2) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1))) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (/.f64 1 (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) alpha))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 alpha 1) alpha))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1))) 2) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1))) alpha))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1))) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1))) alpha))
(pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 2 (+.f64 beta alpha)))) alpha) 2)
(pow.f64 (*.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha 1)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1))) -1)
(neg.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 2 (+.f64 beta alpha)) (neg.f64 (*.f64 alpha alpha)))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) 3) (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))
(exp.f64 (-.f64 (log1p.f64 beta) (-.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) (log1p.f64 alpha))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (-.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) (log1p.f64 alpha))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 2 (+.f64 beta alpha)))) 1)
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 2 (+.f64 beta alpha)) 1)
(*.f64 1 (+.f64 2 (+.f64 beta alpha)))
(*.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))
(*.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (-.f64 beta (+.f64 alpha 2))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(/.f64 1 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (*.f64 beta beta) (*.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (-.f64 (+.f64 alpha 2) beta))
(/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -4) (-.f64 (+.f64 beta alpha) 2))
(pow.f64 (+.f64 2 (+.f64 beta alpha)) 1)
(pow.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 3)
(pow.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)
(sqrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))
(log.f64 (exp.f64 (+.f64 2 (+.f64 beta alpha))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (+.f64 beta alpha)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (exp.f64 (+.f64 alpha 2))))
(log.f64 (*.f64 (exp.f64 beta) (+.f64 1 (expm1.f64 (+.f64 alpha 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (+.f64 1 (expm1.f64 (+.f64 alpha 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha 2))) (exp.f64 beta)))
(log.f64 (*.f64 (exp.f64 (+.f64 alpha 2)) (+.f64 1 (expm1.f64 beta))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha 2))) (+.f64 1 (expm1.f64 beta))))
(cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (+.f64 beta alpha))))
(log1p.f64 (expm1.f64 (+.f64 2 (+.f64 beta alpha))))
(exp.f64 (log.f64 (+.f64 2 (+.f64 beta alpha))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (+.f64 beta alpha))) 1))
(fma.f64 beta 1 (+.f64 alpha 2))
(fma.f64 alpha 1 (+.f64 2 beta))
(fma.f64 (+.f64 alpha 2) 1 beta)
(fma.f64 1 beta (+.f64 alpha 2))
(fma.f64 1 alpha (+.f64 2 beta))
(fma.f64 1 (+.f64 alpha 2) beta)
(fma.f64 1 (+.f64 beta alpha) 2)
(fma.f64 (cbrt.f64 (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)) beta)
(fma.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2) (+.f64 alpha 2))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) 1) (+.f64 alpha 2))
(fma.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2) (+.f64 2 beta))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 2 beta))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) 1) (+.f64 2 beta))
(fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) 1) (+.f64 alpha 2))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 2 beta))
(fma.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) 1) (+.f64 2 beta))
(fma.f64 (+.f64 8 (pow.f64 alpha 3)) (/.f64 1 (-.f64 (fma.f64 alpha alpha 4) (*.f64 alpha 2))) beta)
(fma.f64 (fma.f64 alpha alpha -4) (/.f64 1 (+.f64 alpha -2)) beta)
(fma.f64 (+.f64 beta alpha) 1 2)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 beta alpha)) (cbrt.f64 (+.f64 beta alpha))) (cbrt.f64 (+.f64 beta alpha)) 2)
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) 2)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4))) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)) (+.f64 2 beta))
Outputs
(*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))
(*.f64 (*.f64 alpha alpha) (+.f64 2 alpha))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(*.f64 beta (pow.f64 alpha 2))
(*.f64 beta (*.f64 alpha alpha))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(*.f64 beta (pow.f64 alpha 2))
(*.f64 beta (*.f64 alpha alpha))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(*.f64 (+.f64 beta 2) (pow.f64 alpha 2))
(*.f64 (+.f64 2 beta) (*.f64 alpha alpha))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(pow.f64 alpha 3)
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(pow.f64 alpha 3)
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 2 alpha))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 2 alpha) alpha))))
(fma.f64 beta (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (+.f64 2 alpha))) (-.f64 (/.f64 (/.f64 1 (+.f64 2 alpha)) alpha) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 alpha alpha)) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (+.f64 2 alpha))) (/.f64 (/.f64 1 (+.f64 2 alpha)) alpha)))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 2 alpha)) (-.f64 (/.f64 (/.f64 1 alpha) (+.f64 2 alpha)) (+.f64 (/.f64 (/.f64 1 (*.f64 alpha alpha)) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 2 alpha)) (/.f64 (/.f64 1 alpha) (+.f64 2 alpha))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))))))
(fma.f64 beta (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (+.f64 2 alpha))) (-.f64 (/.f64 (/.f64 1 (+.f64 2 alpha)) alpha) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 alpha alpha)) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (+.f64 2 alpha))) (+.f64 (/.f64 (/.f64 1 (+.f64 2 alpha)) alpha) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (*.f64 alpha alpha))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 alpha alpha)) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 beta beta)))))
(+.f64 (fma.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 alpha alpha)) (pow.f64 (+.f64 2 alpha) 3)) (-.f64 (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 (/.f64 1 (*.f64 alpha alpha)) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 beta beta) (/.f64 (/.f64 1 alpha) (+.f64 2 alpha))) (fma.f64 beta (+.f64 (/.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 2 alpha)) (-.f64 (/.f64 (/.f64 1 alpha) (+.f64 2 alpha)) (+.f64 (/.f64 (/.f64 1 (*.f64 alpha alpha)) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 2 alpha))))
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(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))) (+.f64 2 (+.f64 alpha beta)))
(exp.f64 (-.f64 (log1p.f64 beta) (-.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) (log1p.f64 alpha))))
(exp.f64 (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta))))) (log1p.f64 alpha)))
(/.f64 (exp.f64 (log1p.f64 beta)) (/.f64 (*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (exp.f64 (log1p.f64 alpha))))
(*.f64 (exp.f64 (log1p.f64 alpha)) (/.f64 (exp.f64 (log1p.f64 beta)) (*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (-.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) (log1p.f64 alpha))) 1))
(exp.f64 (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (*.f64 alpha alpha) (+.f64 2 (+.f64 alpha beta))))) (log1p.f64 alpha)))
(/.f64 (exp.f64 (log1p.f64 beta)) (/.f64 (*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (exp.f64 (log1p.f64 alpha))))
(*.f64 (exp.f64 (log1p.f64 alpha)) (/.f64 (exp.f64 (log1p.f64 beta)) (*.f64 alpha (*.f64 alpha (+.f64 2 (+.f64 alpha beta))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 2 (+.f64 beta alpha)))) 1)
(+.f64 2 (+.f64 alpha beta))
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 beta (+.f64 2 alpha)))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (-.f64 beta alpha) -2))
(*.f64 (+.f64 2 (+.f64 beta alpha)) 1)
(+.f64 2 (+.f64 alpha beta))
(*.f64 1 (+.f64 2 (+.f64 beta alpha)))
(+.f64 2 (+.f64 alpha beta))
(*.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2))
(+.f64 2 (+.f64 alpha beta))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))
(+.f64 2 (+.f64 alpha beta))
(*.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))
(+.f64 2 (+.f64 alpha beta))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 2 beta))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (-.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 beta (+.f64 2 alpha)))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (-.f64 beta alpha) -2))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 2 beta))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 2 beta)))))
(/.f64 1 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 beta (+.f64 2 alpha)))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (-.f64 beta alpha) -2))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 2 beta))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 2 beta)))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (*.f64 beta beta) (*.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 beta (+.f64 2 alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (fma.f64 beta (+.f64 (-.f64 beta alpha) -2) (pow.f64 (+.f64 2 alpha) 2)))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 beta (+.f64 2 alpha)))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (-.f64 beta alpha) -2))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 2 beta))))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(neg.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (neg.f64 (-.f64 beta (+.f64 2 alpha)))))
(/.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (+.f64 alpha (-.f64 2 beta)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (+.f64 4 (*.f64 (+.f64 alpha beta) -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (-.f64 (+.f64 alpha 2) beta))
(neg.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (neg.f64 (-.f64 beta (+.f64 2 alpha)))))
(/.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (+.f64 alpha (-.f64 2 beta)))
(/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -4) (-.f64 (+.f64 beta alpha) 2))
(/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4) (+.f64 beta (-.f64 alpha 2)))
(/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4) (+.f64 alpha (-.f64 beta 2)))
(pow.f64 (+.f64 2 (+.f64 beta alpha)) 1)
(+.f64 2 (+.f64 alpha beta))
(pow.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3) 1/3)
(+.f64 2 (+.f64 alpha beta))
(pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 3)
(+.f64 2 (+.f64 alpha beta))
(pow.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)
(+.f64 2 (+.f64 alpha beta))
(sqrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))
(sqrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))
(fabs.f64 (+.f64 2 (+.f64 alpha beta)))
(log.f64 (exp.f64 (+.f64 2 (+.f64 beta alpha))))
(+.f64 2 (+.f64 alpha beta))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (+.f64 beta alpha)))))
(+.f64 2 (+.f64 alpha beta))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (exp.f64 (+.f64 alpha 2))))
(+.f64 2 (+.f64 alpha beta))
(log.f64 (*.f64 (exp.f64 beta) (+.f64 1 (expm1.f64 (+.f64 alpha 2)))))
(+.f64 2 (+.f64 alpha beta))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (+.f64 1 (expm1.f64 (+.f64 alpha 2)))))
(+.f64 2 (+.f64 alpha beta))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha 2))) (exp.f64 beta)))
(+.f64 2 (+.f64 alpha beta))
(log.f64 (*.f64 (exp.f64 (+.f64 alpha 2)) (+.f64 1 (expm1.f64 beta))))
(+.f64 2 (+.f64 alpha beta))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha 2))) (+.f64 1 (expm1.f64 beta))))
(+.f64 2 (+.f64 alpha beta))
(cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3))
(+.f64 2 (+.f64 alpha beta))
(expm1.f64 (log1p.f64 (+.f64 2 (+.f64 beta alpha))))
(+.f64 2 (+.f64 alpha beta))
(log1p.f64 (expm1.f64 (+.f64 2 (+.f64 beta alpha))))
(+.f64 2 (+.f64 alpha beta))
(exp.f64 (log.f64 (+.f64 2 (+.f64 beta alpha))))
(+.f64 2 (+.f64 alpha beta))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (+.f64 beta alpha))) 1))
(+.f64 2 (+.f64 alpha beta))
(fma.f64 beta 1 (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(fma.f64 alpha 1 (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (+.f64 alpha 2) 1 beta)
(+.f64 2 (+.f64 alpha beta))
(fma.f64 1 beta (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(fma.f64 1 alpha (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(fma.f64 1 (+.f64 alpha 2) beta)
(+.f64 2 (+.f64 alpha beta))
(fma.f64 1 (+.f64 beta alpha) 2)
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (cbrt.f64 (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) beta)
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)) beta)
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2) (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) 1) (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2) (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) 1) (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) beta)
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) 1) (+.f64 alpha 2))
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) 1) (+.f64 2 beta))
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (+.f64 8 (pow.f64 alpha 3)) (/.f64 1 (-.f64 (fma.f64 alpha alpha 4) (*.f64 alpha 2))) beta)
(fma.f64 (+.f64 (pow.f64 alpha 3) 8) (/.f64 1 (-.f64 (fma.f64 alpha alpha 4) (*.f64 2 alpha))) beta)
(fma.f64 (+.f64 (pow.f64 alpha 3) 8) (/.f64 1 (+.f64 (fma.f64 alpha alpha 4) (*.f64 alpha -2))) beta)
(fma.f64 (fma.f64 alpha alpha -4) (/.f64 1 (+.f64 alpha -2)) beta)
(fma.f64 (+.f64 beta alpha) 1 2)
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 beta alpha)) (cbrt.f64 (+.f64 beta alpha))) (cbrt.f64 (+.f64 beta alpha)) 2)
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) 2)
(+.f64 2 (+.f64 alpha beta))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4))) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)) (+.f64 2 beta))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4))) (fabs.f64 (cbrt.f64 alpha)) (+.f64 2 beta))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 75 to 44 computations (41.3% saved)

series14.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
5.0ms
beta
@-inf
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
3.0ms
alpha
@0
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
2.0ms
beta
@0
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
1.0ms
alpha
@-inf
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
1.0ms
beta
@inf
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

rewrite62.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
812×fma-def_binary64
382×fma-neg_binary64
302×expm1-udef_binary64
302×log1p-udef_binary64
232×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01431
133825
2537125
Stop Event
node limit
Counts
1 → 43
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))))))) (#(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 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))))))) (#(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 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))) (/.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 (+.f64 alpha (+.f64 2 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(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))) 1))))))

simplify108.0ms (0.7%)

Algorithm
egg-herbie
Rules
448×distribute-rgt-in_binary64
438×distribute-lft-in_binary64
320×unswap-sqr_binary64
282×fma-def_binary64
236×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03644478
113234098
265474079
Stop Event
node limit
Counts
67 → 139
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 alpha (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (*.f64 2 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 7 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (*.f64 2 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 2))) (+.f64 (*.f64 alpha (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (*.f64 2 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 7 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (*.f64 2 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 2))) (+.f64 (*.f64 alpha (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (*.f64 2 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (*.f64 2 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 7 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 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 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (*.f64 2 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 5))))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 -1 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (*.f64 -1 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 3))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 -1 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (*.f64 -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 1 (*.f64 -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 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 -1 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (pow.f64 alpha 5)) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 5)))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.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 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.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 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (/.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 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.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 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (*.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (/.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 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 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 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (/.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 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 3))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) 2))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) 2))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) 2))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))))))) (pow.f64 beta 6))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 3))
(+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 3))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) 2)) (pow.f64 beta 5)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 5)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 3))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) 2)) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) 2)) (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 6))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 5)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 3)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3))))) 1)
(*.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3))) 1)
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (+.f64 1 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 2 beta))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))
(*.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))))
(pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3))) 1)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))) 3)
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))) 2)
(pow.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 alpha)) -1)
(neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))) 1))
Outputs
(/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 alpha (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (*.f64 2 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 alpha (-.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 4 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (*.f64 2 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 alpha (-.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 2 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 4)) (/.f64 4 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 7 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (*.f64 2 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 2))) (+.f64 (*.f64 alpha (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (*.f64 2 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 -1 (*.f64 (+.f64 (/.f64 7 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4)) (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (/.f64 (-.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 4 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (*.f64 2 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 alpha alpha)) (fma.f64 alpha (-.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 4 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (*.f64 2 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(-.f64 (fma.f64 alpha (-.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 2 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 4)) (/.f64 4 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha (*.f64 alpha (fma.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (/.f64 (-.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 2 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 4)) (/.f64 4 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 7 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (*.f64 3 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))))
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(*.f64 (cbrt.f64 (/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 alpha -1)) 2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha)))) 2)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha)))))
(/.f64 (/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (hypot.f64 1 (sqrt.f64 alpha))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha)))) 2))
(*.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 1 (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 2) alpha) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))))
(/.f64 (/.f64 (-.f64 alpha -1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 1 (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 2) alpha) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))))
(/.f64 (/.f64 (-.f64 alpha -1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))))
(pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3))) 1)
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))) 3)
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))) 2)
(pow.f64 (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))) 2)
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 beta (+.f64 3 alpha))))) 2)
(pow.f64 (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))) 2)
(pow.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 alpha)) -1)
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (neg.f64 (+.f64 (+.f64 beta 3) alpha)))))
(/.f64 (-.f64 -1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (-.f64 (+.f64 (neg.f64 beta) -3) alpha)))
(/.f64 (-.f64 -1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (-.f64 (-.f64 -3 beta) alpha)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3))) 2))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3))) 3))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 5 (*.f64 2 beta)) alpha)
0.0b
(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
0.1b
(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
8.2b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))))
Compiler

Compiled 122 to 87 computations (28.7% saved)

series53.0ms (0.3%)

Counts
3 → 60
Calls

18 calls:

TimeVariablePointExpression
24.0ms
beta
@-inf
(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
7.0ms
alpha
@0
(*.f64 (+.f64 5 (*.f64 2 beta)) alpha)
3.0ms
beta
@inf
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))))
3.0ms
beta
@0
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))))
3.0ms
alpha
@-inf
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))))

rewrite65.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
274×add-sqr-sqrt_binary64
267×*-un-lft-identity_binary64
267×pow1_binary64
257×add-cbrt-cube_binary64
257×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02180
152174
Stop Event
node limit
Counts
3 → 125
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(*.f64 (+.f64 5 (*.f64 2 beta)) alpha)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (/.f64 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))))) (#(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)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (sqrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 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))) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (neg.f64 (+.f64 1 alpha))) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) 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simplify398.0ms (2.4%)

Algorithm
egg-herbie
Rules
749×distribute-rgt-in_binary64
734×distribute-lft-in_binary64
475×fma-def_binary64
310×associate-/l*_binary64
306×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065110458
125079955
Stop Event
node limit
Counts
185 → 293
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
(+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) beta)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) beta))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 1 (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) beta)))))
(/.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 (pow.f64 beta 3)) (+.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 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha))))) (pow.f64 beta 4))) (+.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 6 (*.f64 5 alpha)) (+.f64 2 alpha))
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(pow.f64 beta 3)
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(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 beta (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha))))))
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(pow.f64 beta 3)
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))
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(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 6 (*.f64 5 alpha))) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 5))))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))))
(*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 beta 2))) alpha))
(+.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 beta 2))) alpha)))
(+.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 beta 2))) alpha)))
(*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))
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(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2)) (*.f64 alpha (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))))))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2)) (*.f64 alpha (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))))))
(*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))
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(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2)) (*.f64 -1 (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2)) (*.f64 -1 (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))))
(*.f64 5 alpha)
(+.f64 (*.f64 5 alpha) (*.f64 2 (*.f64 beta alpha)))
(+.f64 (*.f64 5 alpha) (*.f64 2 (*.f64 beta alpha)))
(+.f64 (*.f64 5 alpha) (*.f64 2 (*.f64 beta alpha)))
(*.f64 2 (*.f64 beta alpha))
(+.f64 (*.f64 5 alpha) (*.f64 2 (*.f64 beta alpha)))
(+.f64 (*.f64 5 alpha) (*.f64 2 (*.f64 beta alpha)))
(+.f64 (*.f64 5 alpha) (*.f64 2 (*.f64 beta alpha)))
(*.f64 2 (*.f64 beta alpha))
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(+.f64 (*.f64 5 alpha) (*.f64 2 (*.f64 beta alpha)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) 1)
(*.f64 1 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(*.f64 (+.f64 beta 1) (/.f64 1 (/.f64 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))))
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(*.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
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(*.f64 (*.f64 (+.f64 beta 1) (neg.f64 (+.f64 1 alpha))) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
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(*.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))))
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(*.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (/.f64 1 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
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(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (+.f64 1 alpha))
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(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 beta 1) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))))
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(exp.f64 (-.f64 (+.f64 (log1p.f64 alpha) (log1p.f64 beta)) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
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(+.f64 (*.f64 (fma.f64 beta 2 5) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha (fma.f64 beta 2 5))))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha (fma.f64 beta 2 5))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 (*.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) 1) (*.f64 (*.f64 (fma.f64 beta 2 5) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1))
(+.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha (fma.f64 beta 2 5))) 1))
(+.f64 (*.f64 beta (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 (+.f64 alpha 2) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (*.f64 (+.f64 alpha 2) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 beta (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (*.f64 (+.f64 beta alpha) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 2 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (*.f64 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) beta) (*.f64 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha 2)))
(+.f64 (*.f64 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha 2)) (*.f64 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) beta))
(+.f64 (*.f64 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta alpha)) (*.f64 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 3))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (+.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) (*.f64 (*.f64 alpha (fma.f64 beta 2 5)) (-.f64 (*.f64 alpha (fma.f64 beta 2 5)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 3))) (*.f64 (-.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) (*.f64 (*.f64 alpha (fma.f64 beta 2 5)) (-.f64 (*.f64 alpha (fma.f64 beta 2 5)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (-.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 2))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (-.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 alpha (fma.f64 beta 2 5)))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 2))) (*.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 alpha (fma.f64 beta 2 5)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 3)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) (*.f64 (*.f64 alpha (fma.f64 beta 2 5)) (-.f64 (*.f64 alpha (fma.f64 beta 2 5)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 2)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (-.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 alpha (fma.f64 beta 2 5))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 3)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) (*.f64 (*.f64 alpha (fma.f64 beta 2 5)) (-.f64 (*.f64 alpha (fma.f64 beta 2 5)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (-.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (-.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 alpha (fma.f64 beta 2 5))) (-.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (*.f64 (fma.f64 beta 2 5) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 3)) (+.f64 (*.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (*.f64 (*.f64 (fma.f64 beta 2 5) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (*.f64 (fma.f64 beta 2 5) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (*.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (fma.f64 beta 2 5) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3) (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha (fma.f64 beta 2 5))) 3)) (+.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (-.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha (fma.f64 beta 2 5))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha (fma.f64 beta 2 5)))) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha (fma.f64 beta 2 5)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (*.f64 (fma.f64 beta 2 5) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (*.f64 (fma.f64 beta 2 5) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) (-.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (fma.f64 beta 2 5) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha (fma.f64 beta 2 5))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha (fma.f64 beta 2 5))))) (-.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha (fma.f64 beta 2 5)))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (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)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 3)) (+.f64 beta (+.f64 alpha 2))) (+.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) (*.f64 (*.f64 alpha (fma.f64 beta 2 5)) (-.f64 (*.f64 alpha (fma.f64 beta 2 5)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 2)) (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 alpha (fma.f64 beta 2 5))))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 3))) (+.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) (*.f64 (*.f64 alpha (fma.f64 beta 2 5)) (-.f64 (*.f64 alpha (fma.f64 beta 2 5)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 2))) (-.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 alpha (fma.f64 beta 2 5))))
(/.f64 (*.f64 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 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 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 1))
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha (fma.f64 beta 2 5))))
(fma.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 2)) (*.f64 (fma.f64 beta 2 5) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 5 alpha) (*.f64 (*.f64 beta 2) alpha))
(+.f64 (*.f64 (*.f64 beta 2) alpha) (*.f64 5 alpha))
(+.f64 (*.f64 alpha 5) (*.f64 alpha (*.f64 beta 2)))
(+.f64 (*.f64 alpha (*.f64 beta 2)) (*.f64 alpha 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 alpha (fma.f64 beta 2 5)))) 1)
(/.f64 (*.f64 (+.f64 125 (*.f64 8 (pow.f64 beta 3))) alpha) (+.f64 25 (*.f64 (*.f64 beta 2) (-.f64 (*.f64 beta 2) 5))))
(/.f64 (*.f64 (-.f64 25 (*.f64 4 (*.f64 beta beta))) alpha) (-.f64 5 (*.f64 beta 2)))
(/.f64 (*.f64 alpha (+.f64 125 (*.f64 8 (pow.f64 beta 3)))) (+.f64 25 (*.f64 (*.f64 beta 2) (-.f64 (*.f64 beta 2) 5))))
(/.f64 (*.f64 alpha (-.f64 25 (*.f64 4 (*.f64 beta beta)))) (-.f64 5 (*.f64 beta 2)))
(pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 alpha (fma.f64 beta 2 5))) 3)
(pow.f64 (sqrt.f64 (*.f64 alpha (fma.f64 beta 2 5))) 2)
(pow.f64 (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 beta 2 5)) alpha))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 alpha (fma.f64 beta 2 5)))))
(cbrt.f64 (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 3))
(expm1.f64 (log1p.f64 (*.f64 alpha (fma.f64 beta 2 5))))
(log1p.f64 (expm1.f64 (*.f64 alpha (fma.f64 beta 2 5))))
(exp.f64 (log.f64 (*.f64 alpha (fma.f64 beta 2 5))))
(exp.f64 (*.f64 (log.f64 (*.f64 alpha (fma.f64 beta 2 5))) 1))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha 5 6)) (+.f64 alpha 2))
(+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) beta)))
(+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 6 (*.f64 alpha 5))) (+.f64 alpha 2)) (*.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2))) (-.f64 (/.f64 (/.f64 1 (+.f64 6 (*.f64 alpha 5))) (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (pow.f64 (+.f64 6 (*.f64 alpha 5)) 2) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (+.f64 alpha 2) (+.f64 5 (*.f64 alpha 2)) (+.f64 6 (*.f64 alpha 5))))))) beta)))
(+.f64 (/.f64 alpha (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2))) (fma.f64 (+.f64 (/.f64 alpha (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (fma.f64 alpha 5 6)) (+.f64 alpha 2)) (/.f64 (-.f64 -1 alpha) (/.f64 (*.f64 (pow.f64 (fma.f64 alpha 5 6) 2) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (fma.f64 alpha 2 5) (+.f64 alpha 2) (fma.f64 alpha 5 6)))))) beta (/.f64 (/.f64 1 (fma.f64 alpha 5 6)) (+.f64 alpha 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) beta))))
(fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2))) (-.f64 (/.f64 (/.f64 1 (+.f64 6 (*.f64 alpha 5))) (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (pow.f64 (+.f64 6 (*.f64 alpha 5)) 2) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (+.f64 alpha 2) (+.f64 5 (*.f64 alpha 2)) (+.f64 6 (*.f64 alpha 5))))))) (+.f64 6 (*.f64 alpha 5))) (/.f64 (fma.f64 (+.f64 alpha 2) (+.f64 5 (*.f64 alpha 2)) (+.f64 6 (*.f64 alpha 5))) (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (*.f64 alpha 5)) 2)) (/.f64 (+.f64 7 (*.f64 3 alpha)) (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 6 (*.f64 alpha 5))) (+.f64 alpha 2)) (*.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2))) (-.f64 (/.f64 (/.f64 1 (+.f64 6 (*.f64 alpha 5))) (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (pow.f64 (+.f64 6 (*.f64 alpha 5)) 2) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (+.f64 alpha 2) (+.f64 5 (*.f64 alpha 2)) (+.f64 6 (*.f64 alpha 5))))))) beta))))
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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 2 beta) 2)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta))))) (*.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 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 2 beta) 4)) (*.f64 (+.f64 2 beta) (+.f64 (+.f64 beta 3) (fma.f64 beta 2 5))))))) alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2))))
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(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta))))) (*.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 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 beta 2)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 2 beta) 4)) (*.f64 (+.f64 2 beta) (+.f64 (+.f64 beta 3) (fma.f64 beta 2 5))))))) alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (*.f64 (+.f64 1 beta) (fma.f64 beta 2 5)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 2 beta) 4))) (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 2 beta) 4)) (*.f64 (+.f64 2 beta) (+.f64 (+.f64 beta 3) (fma.f64 beta 2 5))))))) (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 beta 3) (fma.f64 beta 2 5))) (pow.f64 (+.f64 2 beta) 2)))))))))
(+.f64 (fma.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 beta 3) (fma.f64 2 beta 5))) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 2 beta) 4)) (+.f64 1 beta))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2)))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 beta 3) (fma.f64 2 beta 5))) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 2 beta) 4)) (+.f64 1 beta))))) (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 beta 3) (fma.f64 2 beta 5))) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 2 beta 5) (pow.f64 (+.f64 2 beta) 4)))))))
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(*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 2 beta 5) (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 2 beta 5) (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 2 beta 5) (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 2 beta 5) (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 1))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 2 beta 5) (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(fma.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha (fma.f64 beta 2 5))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 2 beta 5) (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(fma.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 2)) (*.f64 (fma.f64 beta 2 5) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 beta 2 5) (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 alpha (fma.f64 2 beta 5) (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(+.f64 (*.f64 5 alpha) (*.f64 (*.f64 beta 2) alpha))
(*.f64 alpha (fma.f64 beta 2 5))
(*.f64 alpha (fma.f64 2 beta 5))
(+.f64 (*.f64 (*.f64 beta 2) alpha) (*.f64 5 alpha))
(*.f64 alpha (fma.f64 beta 2 5))
(*.f64 alpha (fma.f64 2 beta 5))
(+.f64 (*.f64 alpha 5) (*.f64 alpha (*.f64 beta 2)))
(*.f64 alpha (fma.f64 beta 2 5))
(*.f64 alpha (fma.f64 2 beta 5))
(+.f64 (*.f64 alpha (*.f64 beta 2)) (*.f64 alpha 5))
(*.f64 alpha (fma.f64 beta 2 5))
(*.f64 alpha (fma.f64 2 beta 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 alpha (fma.f64 beta 2 5)))) 1)
(*.f64 alpha (fma.f64 beta 2 5))
(*.f64 alpha (fma.f64 2 beta 5))
(/.f64 (*.f64 (+.f64 125 (*.f64 8 (pow.f64 beta 3))) alpha) (+.f64 25 (*.f64 (*.f64 beta 2) (-.f64 (*.f64 beta 2) 5))))
(/.f64 (*.f64 alpha (+.f64 125 (*.f64 (pow.f64 beta 3) 8))) (+.f64 25 (*.f64 (*.f64 2 beta) (fma.f64 beta 2 -5))))
(*.f64 (/.f64 alpha (fma.f64 (*.f64 2 beta) (fma.f64 2 beta -5) 25)) (fma.f64 (pow.f64 beta 3) 8 125))
(/.f64 (*.f64 (-.f64 25 (*.f64 4 (*.f64 beta beta))) alpha) (-.f64 5 (*.f64 beta 2)))
(/.f64 alpha (/.f64 (-.f64 5 (*.f64 2 beta)) (-.f64 25 (*.f64 (*.f64 beta beta) 4))))
(*.f64 (/.f64 alpha (+.f64 5 (*.f64 beta -2))) (+.f64 25 (*.f64 (*.f64 beta beta) -4)))
(/.f64 (*.f64 alpha (+.f64 125 (*.f64 8 (pow.f64 beta 3)))) (+.f64 25 (*.f64 (*.f64 beta 2) (-.f64 (*.f64 beta 2) 5))))
(/.f64 (*.f64 alpha (+.f64 125 (*.f64 (pow.f64 beta 3) 8))) (+.f64 25 (*.f64 (*.f64 2 beta) (fma.f64 beta 2 -5))))
(*.f64 (/.f64 alpha (fma.f64 (*.f64 2 beta) (fma.f64 2 beta -5) 25)) (fma.f64 (pow.f64 beta 3) 8 125))
(/.f64 (*.f64 alpha (-.f64 25 (*.f64 4 (*.f64 beta beta)))) (-.f64 5 (*.f64 beta 2)))
(/.f64 alpha (/.f64 (-.f64 5 (*.f64 2 beta)) (-.f64 25 (*.f64 (*.f64 beta beta) 4))))
(*.f64 (/.f64 alpha (+.f64 5 (*.f64 beta -2))) (+.f64 25 (*.f64 (*.f64 beta beta) -4)))
(pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 1)
(*.f64 alpha (fma.f64 beta 2 5))
(*.f64 alpha (fma.f64 2 beta 5))
(pow.f64 (cbrt.f64 (*.f64 alpha (fma.f64 beta 2 5))) 3)
(*.f64 alpha (fma.f64 beta 2 5))
(*.f64 alpha (fma.f64 2 beta 5))
(pow.f64 (sqrt.f64 (*.f64 alpha (fma.f64 beta 2 5))) 2)
(*.f64 alpha (fma.f64 beta 2 5))
(*.f64 alpha (fma.f64 2 beta 5))
(pow.f64 (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 3) 1/3)
(*.f64 alpha (fma.f64 beta 2 5))
(*.f64 alpha (fma.f64 2 beta 5))
(sqrt.f64 (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 2))
(fabs.f64 (*.f64 alpha (fma.f64 2 beta 5)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 beta 2 5)) alpha))
(*.f64 alpha (fma.f64 beta 2 5))
(*.f64 alpha (fma.f64 2 beta 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 alpha (fma.f64 beta 2 5)))))
(*.f64 alpha (fma.f64 beta 2 5))
(*.f64 alpha (fma.f64 2 beta 5))
(cbrt.f64 (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 3))
(*.f64 alpha (fma.f64 beta 2 5))
(*.f64 alpha (fma.f64 2 beta 5))
(expm1.f64 (log1p.f64 (*.f64 alpha (fma.f64 beta 2 5))))
(*.f64 alpha (fma.f64 beta 2 5))
(*.f64 alpha (fma.f64 2 beta 5))
(log1p.f64 (expm1.f64 (*.f64 alpha (fma.f64 beta 2 5))))
(*.f64 alpha (fma.f64 beta 2 5))
(*.f64 alpha (fma.f64 2 beta 5))
(exp.f64 (log.f64 (*.f64 alpha (fma.f64 beta 2 5))))
(*.f64 alpha (fma.f64 beta 2 5))
(*.f64 alpha (fma.f64 2 beta 5))
(exp.f64 (*.f64 (log.f64 (*.f64 alpha (fma.f64 beta 2 5))) 1))
(*.f64 alpha (fma.f64 beta 2 5))
(*.f64 alpha (fma.f64 2 beta 5))

eval1.6s (9.6%)

Compiler

Compiled 78792 to 56524 computations (28.3% saved)

prune673.0ms (4.1%)

Pruning

28 alts after pruning (26 fresh and 2 done)

PrunedKeptTotal
New1742191761
Fresh8715
Picked101
Done325
Total1754281782
Error
0b
Counts
1782 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
31.0b
(pow.f64 beta -2)
3.5b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
61.7b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 2 alpha))
23.7b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
27.8b
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
0.6b
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 1 beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
0.1b
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
42.0b
(/.f64 (/.f64 alpha beta) beta)
31.0b
(/.f64 (/.f64 1 beta) beta)
60.5b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
61.1b
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))
61.8b
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
31.4b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
34.2b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2)))
29.8b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
27.3b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 3 (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta (+.f64 alpha -3)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta (+.f64 alpha -3))))))
8.3b
(/.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))))
9.3b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
36.3b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
45.5b
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
43.3b
(/.f64 alpha (*.f64 beta beta))
31.3b
(/.f64 1 (*.f64 beta beta))
61.7b
(/.f64 1 (*.f64 alpha alpha))
33.9b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
0.5b
(*.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))))
4.3b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
28.4b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
25.2b
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
Compiler

Compiled 968 to 687 computations (29% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 95 to 64 computations (32.6% saved)

series20.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite89.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
388×fma-neg_binary64
360×expm1-udef_binary64
360×log1p-udef_binary64
205×add-sqr-sqrt_binary64
200×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01697
139297
2644197
Stop Event
node limit
Counts
4 → 168
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) 2)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))) (sqrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 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simplify166.0ms (1%)

Algorithm
egg-herbie
Rules
807×associate-/l*_binary64
645×fma-def_binary64
557×times-frac_binary64
277×*-commutative_binary64
271×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105514832
1381914187
Stop Event
node limit
Counts
264 → 475
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.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 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
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(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 (neg.f64 beta) -1) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 beta))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 beta) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 beta) 2)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 beta) 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (+.f64 1 beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha beta) 2))
(pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)) -1)
(neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (fma.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2)))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 4)))))))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (fma.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (+.f64 beta 3) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 (fma.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (*.f64 alpha alpha))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (+.f64 beta 7) (*.f64 beta 2)))))
(+.f64 (+.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (*.f64 alpha alpha))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))) (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 3) (+.f64 beta (fma.f64 beta 2 7)))))
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (*.f64 1 (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 beta) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 1) 2)) (*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 1) 2)) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (hypot.f64 1 (sqrt.f64 beta))) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 beta) 2)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 1) 2)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 beta) 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 1) 2)) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(*.f64 (/.f64 (+.f64 1 beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 (-.f64 alpha beta) -2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)) -1)
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
(neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) 2))
(fabs.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (+.f64 beta (+.f64 2 alpha)))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (*.f64 alpha alpha))
Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite36.0ms (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 alpha alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 alpha -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 alpha -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 alpha -2)) (pow.f64 (*.f64 (cbrt.f64 alpha) alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (pow.f64 (*.f64 (sqrt.f64 alpha) alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2) (cbrt.f64 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 alpha) -2) (pow.f64 (pow.f64 (cbrt.f64 alpha) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 alpha) 2) -2) (pow.f64 (cbrt.f64 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 alpha) -2) (pow.f64 (sqrt.f64 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4))) -2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 alpha (sqrt.f64 alpha)) -1) (/.f64 1 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) -1) (pow.f64 (cbrt.f64 alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 alpha -2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 alpha -2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 alpha alpha) -2) (/.f64 1 alpha)) 1/3) (cbrt.f64 (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 alpha alpha) -2) (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 alpha -2))) 2) 3) (cbrt.f64 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha -2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 alpha -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 alpha -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 alpha alpha) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 alpha -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (*.f64 alpha alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 alpha alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 alpha -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 alpha)))))))

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 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 0 (pow.f64 alpha -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 alpha -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 alpha -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 alpha -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 alpha -2)))))
(-.f64 (+.f64 1 (pow.f64 alpha -2)) 1)
(*.f64 1 (pow.f64 alpha -2))
(*.f64 (pow.f64 alpha -2) 1)
(*.f64 (cbrt.f64 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2))
(*.f64 (cbrt.f64 (pow.f64 alpha -2)) (pow.f64 (*.f64 (cbrt.f64 alpha) alpha) -1))
(*.f64 (/.f64 1 alpha) (/.f64 1 alpha))
(*.f64 -1 (/.f64 1 (neg.f64 (*.f64 alpha alpha))))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (pow.f64 (*.f64 (sqrt.f64 alpha) alpha) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2) (cbrt.f64 (pow.f64 alpha -2)))
(*.f64 (pow.f64 1 1/3) (pow.f64 alpha -2))
(*.f64 (pow.f64 (cbrt.f64 alpha) -2) (pow.f64 (pow.f64 (cbrt.f64 alpha) 2) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 alpha) 2) -2) (pow.f64 (cbrt.f64 alpha) -2))
(*.f64 (pow.f64 (sqrt.f64 alpha) -2) (pow.f64 (sqrt.f64 alpha) -2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4))) -2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)) -2))
(*.f64 (pow.f64 (*.f64 alpha (sqrt.f64 alpha)) -1) (/.f64 1 (sqrt.f64 alpha)))
(*.f64 (pow.f64 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) -1) (pow.f64 (cbrt.f64 alpha) -1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 alpha -2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 alpha -2) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 alpha alpha) -2) (/.f64 1 alpha)) 1/3) (cbrt.f64 (/.f64 1 alpha)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 alpha alpha) -2) (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 alpha -2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 alpha -2))) 2) 3) (cbrt.f64 (pow.f64 alpha -2)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha -2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha -2))) 3))
(pow.f64 alpha -2)
(pow.f64 (*.f64 alpha alpha) -1)
(pow.f64 (pow.f64 alpha -2) 1)
(pow.f64 (pow.f64 (*.f64 alpha alpha) -2) 1/2)
(pow.f64 (pow.f64 (pow.f64 alpha -2) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 3)
(pow.f64 (/.f64 1 alpha) 2)
(pow.f64 (neg.f64 (neg.f64 (*.f64 alpha alpha))) -1)
(sqrt.f64 (pow.f64 (*.f64 alpha alpha) -2))
(log.f64 (exp.f64 (pow.f64 alpha -2)))
(cbrt.f64 (pow.f64 (pow.f64 alpha -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 alpha -2)))
(log1p.f64 (expm1.f64 (pow.f64 alpha -2)))
(exp.f64 (*.f64 -2 (log.f64 alpha)))
Outputs
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(+.f64 0 (pow.f64 alpha -2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 alpha -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 alpha -2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 alpha -2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 alpha -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 alpha -2)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 alpha -2)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 alpha -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 alpha -2)))))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(-.f64 (+.f64 1 (pow.f64 alpha -2)) 1)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 1 (pow.f64 alpha -2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 (pow.f64 alpha -2) 1)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 (cbrt.f64 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 (cbrt.f64 (pow.f64 alpha -2)) (pow.f64 (*.f64 (cbrt.f64 alpha) alpha) -1))
(*.f64 (cbrt.f64 (pow.f64 alpha -2)) (/.f64 1 (*.f64 alpha (cbrt.f64 alpha))))
(/.f64 (cbrt.f64 (pow.f64 alpha -2)) (*.f64 alpha (cbrt.f64 alpha)))
(*.f64 (/.f64 1 alpha) (/.f64 1 alpha))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 -1 (/.f64 1 (neg.f64 (*.f64 alpha alpha))))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (pow.f64 (*.f64 (sqrt.f64 alpha) alpha) -1))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2) (cbrt.f64 (pow.f64 alpha -2)))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 (pow.f64 1 1/3) (pow.f64 alpha -2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 (pow.f64 (cbrt.f64 alpha) -2) (pow.f64 (pow.f64 (cbrt.f64 alpha) 2) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 alpha) 2) -2) (pow.f64 (cbrt.f64 alpha) -2))
(pow.f64 (pow.f64 (cbrt.f64 alpha) -2) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 alpha) 2) -2) (pow.f64 (cbrt.f64 alpha) -2))
(*.f64 (pow.f64 (cbrt.f64 alpha) -2) (pow.f64 (pow.f64 (cbrt.f64 alpha) 2) -2))
(pow.f64 (pow.f64 (cbrt.f64 alpha) -2) 3)
(*.f64 (pow.f64 (sqrt.f64 alpha) -2) (pow.f64 (sqrt.f64 alpha) -2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4))) -2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)) -2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4))) -2) (pow.f64 (fabs.f64 (cbrt.f64 alpha)) -2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4))) -2) (pow.f64 (cbrt.f64 alpha) -2))
(*.f64 (pow.f64 (*.f64 alpha (sqrt.f64 alpha)) -1) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 (pow.f64 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) -1) (pow.f64 (cbrt.f64 alpha) -1))
(*.f64 (/.f64 1 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (/.f64 1 (cbrt.f64 alpha)))
(*.f64 (/.f64 (/.f64 1 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 1 (cbrt.f64 alpha)))
(/.f64 (pow.f64 (cbrt.f64 alpha) -2) (*.f64 alpha (cbrt.f64 alpha)))
(/.f64 (pow.f64 (/.f64 1 (cbrt.f64 alpha)) 3) alpha)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 alpha -2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 alpha -2) 3)) 1/3))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 alpha alpha) -2) (/.f64 1 alpha)) 1/3) (cbrt.f64 (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 alpha) (pow.f64 (*.f64 alpha alpha) -2))) (cbrt.f64 (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 alpha -4) alpha)) (cbrt.f64 (/.f64 1 alpha)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 alpha alpha) -2) (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 alpha -2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2) (pow.f64 (*.f64 alpha alpha) -2))) (cbrt.f64 (cbrt.f64 (pow.f64 alpha -2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2) (pow.f64 alpha -4))) (cbrt.f64 (cbrt.f64 (pow.f64 alpha -2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 8)) (cbrt.f64 (cbrt.f64 (pow.f64 alpha -2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 alpha -2))) 2) 3) (cbrt.f64 (pow.f64 alpha -2)))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha -2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha -2))) 3))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(pow.f64 alpha -2)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 (*.f64 alpha alpha) -1)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(pow.f64 (pow.f64 alpha -2) 1)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(pow.f64 (pow.f64 (*.f64 alpha alpha) -2) 1/2)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(pow.f64 (pow.f64 (pow.f64 alpha -2) 3) 1/3)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 3)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(pow.f64 (/.f64 1 alpha) 2)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(pow.f64 (neg.f64 (neg.f64 (*.f64 alpha alpha))) -1)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(sqrt.f64 (pow.f64 (*.f64 alpha alpha) -2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(log.f64 (exp.f64 (pow.f64 alpha -2)))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(cbrt.f64 (pow.f64 (pow.f64 alpha -2) 3))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(expm1.f64 (log1p.f64 (pow.f64 alpha -2)))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(log1p.f64 (expm1.f64 (pow.f64 alpha -2)))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(exp.f64 (*.f64 -2 (log.f64 alpha)))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)

localize10.0ms (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)

series4.0ms (0%)

Counts
2 → 36
Calls

12 calls:

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

rewrite64.0ms (0.4%)

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
0817
117617
2247417
Stop Event
node limit
Counts
2 → 80
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (+.f64 1 alpha) 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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)))))) (#(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)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -1/2) (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (neg.f64 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)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 alpha) (cbrt.f64 (pow.f64 beta -2))) (/.f64 1 (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -1/2)) (pow.f64 beta -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 alpha) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 1 alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 alpha) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) (/.f64 (pow.f64 beta -2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)))))))

simplify74.0ms (0.5%)

Algorithm
egg-herbie
Rules
637×unswap-sqr_binary64
482×distribute-rgt-in_binary64
474×distribute-lft-in_binary64
403×associate-/l/_binary64
384×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01931547
14621348
218961033
Stop Event
node limit
Counts
116 → 103
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 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 (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))))
(-.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 (/.f64 1 beta) (+.f64 1 alpha))
(*.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 (+.f64 1 alpha) beta)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 1))
(*.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 (+.f64 1 alpha) beta)) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) 1))
(*.f64 (pow.f64 beta -1/2) (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)))
(*.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 1 beta)))
(*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (neg.f64 beta)))
(*.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 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 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 (+.f64 1 alpha) (cbrt.f64 (pow.f64 beta -2))) (/.f64 1 (cbrt.f64 beta)))
(*.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -1/2)) (pow.f64 beta -1/2))
(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)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) (/.f64 (pow.f64 beta -2) beta)))
(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)))
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 (/.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 (/.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 1 beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(/.f64 alpha beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(/.f64 alpha beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(-.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)
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(sqrt.f64 (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)))
(-.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 (/.f64 1 beta) (+.f64 1 alpha))
(+.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 (+.f64 1 alpha) beta)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 1))
(+.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 (+.f64 1 alpha) beta)) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) 1))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (pow.f64 beta -1/2) (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)))
(/.f64 (+.f64 1 alpha) (/.f64 (sqrt.f64 beta) (pow.f64 beta -1/2)))
(*.f64 (/.f64 (pow.f64 beta -1/2) (sqrt.f64 beta)) (+.f64 1 alpha))
(*.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 -1 (neg.f64 alpha)) (/.f64 1 (neg.f64 beta)))
(+.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 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (pow.f64 (cbrt.f64 beta) 2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.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)
(*.f64 (*.f64 (+.f64 1 alpha) (cbrt.f64 (pow.f64 beta -2))) (/.f64 1 (cbrt.f64 beta)))
(/.f64 (*.f64 (+.f64 1 alpha) (cbrt.f64 (pow.f64 beta -2))) (cbrt.f64 beta))
(*.f64 (+.f64 1 alpha) (/.f64 (cbrt.f64 (pow.f64 beta -2)) (cbrt.f64 beta)))
(*.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -1/2)) (pow.f64 beta -1/2))
(+.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 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) 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)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) (/.f64 (pow.f64 beta -2) beta)))
(+.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)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 3 alpha) beta)
0.0b
(+.f64 alpha (+.f64 2 beta))
0.0b
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
1.8b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
Compiler

Compiled 69 to 46 computations (33.3% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite57.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
519×fma-def_binary64
471×log-prod_binary64
368×pow-prod-down_binary64
303×pow2_binary64
260×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
122214
2332914
Stop Event
node limit
Counts
2 → 127
Calls
Call 1
Inputs
(+.f64 alpha (+.f64 2 beta))
(+.f64 (+.f64 3 alpha) beta)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2)))) 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 beta (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (fma.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha 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 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha 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 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha 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 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha 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 (pow.f64 (+.f64 alpha 2) 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 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (-.f64 (+.f64 alpha 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha alpha)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (-.f64 alpha 2) beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 alpha)) (exp.f64 (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 alpha) (+.f64 1 (expm1.f64 (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 alpha)) (+.f64 1 (expm1.f64 (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 beta) (exp.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (exp.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 beta))) (exp.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 2 beta)) (+.f64 1 (expm1.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 beta))) (+.f64 1 (expm1.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 alpha 2)) (+.f64 1 (expm1.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha 1 (+.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta 1 (+.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 2 beta) 1 alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 alpha (+.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 beta (+.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 2 beta) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 alpha beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 3 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 alpha 3) 2) (+.f64 alpha (-.f64 3 beta))) (/.f64 (*.f64 beta beta) (+.f64 alpha (-.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 3 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 alpha (+.f64 3 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2) (cbrt.f64 (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 alpha (+.f64 3 beta))) (sqrt.f64 (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) 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(pow.f64 (+.f64 alpha (+.f64 3 beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 beta 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha (-.f64 3 beta)) (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 3 beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (exp.f64 (+.f64 alpha 3))))))) (#(struct:change #<rule 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(log.f64 (+.f64 alpha (+.f64 3 beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha 1 (+.f64 3 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta 1 (+.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 3) 1 beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 alpha (+.f64 3 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 beta (+.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 alpha 3) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 alpha beta) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 alpha 3)) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2) (cbrt.f64 (+.f64 alpha 3)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2) (+.f64 3 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 3 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 beta) (cbrt.f64 (*.f64 beta beta)) (+.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta) (+.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 alpha 3)) (sqrt.f64 (+.f64 alpha 3)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 3 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 27 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha (-.f64 alpha 3) 9)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (*.f64 alpha alpha)) (/.f64 1 (-.f64 3 alpha)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 3)))))

simplify87.0ms (0.5%)

Algorithm
egg-herbie
Rules
881×fma-neg_binary64
531×fma-def_binary64
446×unswap-sqr_binary64
256×times-frac_binary64
215×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03011869
17881828
221981822
375021822
Stop Event
node limit
Counts
175 → 166
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 beta 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 3 alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2)))) 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 beta (+.f64 alpha 2)) 1)
(*.f64 1 (+.f64 beta (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (fma.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha alpha))))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (-.f64 (-.f64 alpha 2) beta)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha 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 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha 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 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha 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 (pow.f64 (+.f64 alpha 2) 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 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (-.f64 (+.f64 alpha 2) beta))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 3)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 (fma.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha alpha)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) -1)
(pow.f64 (/.f64 (-.f64 (-.f64 alpha 2) beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 alpha)) (exp.f64 (+.f64 2 beta))))
(log.f64 (*.f64 (exp.f64 alpha) (+.f64 1 (expm1.f64 (+.f64 2 beta)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 alpha)) (+.f64 1 (expm1.f64 (+.f64 2 beta)))))
(log.f64 (*.f64 (exp.f64 beta) (exp.f64 (+.f64 alpha 2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (exp.f64 (+.f64 alpha 2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 beta))) (exp.f64 alpha)))
(log.f64 (*.f64 (exp.f64 (+.f64 2 beta)) (+.f64 1 (expm1.f64 alpha))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 beta))) (+.f64 1 (expm1.f64 alpha))))
(log.f64 (*.f64 (exp.f64 (+.f64 alpha 2)) (+.f64 1 (expm1.f64 beta))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(fma.f64 alpha 1 (+.f64 2 beta))
(fma.f64 beta 1 (+.f64 alpha 2))
(fma.f64 (+.f64 2 beta) 1 alpha)
(fma.f64 1 alpha (+.f64 2 beta))
(fma.f64 1 beta (+.f64 alpha 2))
(fma.f64 1 (+.f64 2 beta) alpha)
(fma.f64 1 (+.f64 alpha beta) 2)
(fma.f64 1 (+.f64 alpha 2) beta)
(fma.f64 (cbrt.f64 (+.f64 2 beta)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) alpha)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (cbrt.f64 (+.f64 2 beta)) alpha)
(fma.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2) (+.f64 2 beta))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 2 beta))
(fma.f64 (cbrt.f64 beta) (cbrt.f64 (*.f64 beta beta)) (+.f64 alpha 2))
(fma.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (sqrt.f64 (+.f64 2 beta)) (sqrt.f64 (+.f64 2 beta)) alpha)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 2 beta))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (+.f64 8 (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (-.f64 beta 2) 4)) alpha)
(fma.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 1 (-.f64 2 beta)) alpha)
(fma.f64 (+.f64 alpha 2) 1 beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)) beta)
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 2)
(fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) beta)
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 3 beta)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 alpha 3) 2) (+.f64 alpha (-.f64 3 beta))) (/.f64 (*.f64 beta beta) (+.f64 alpha (-.f64 3 beta))))
(*.f64 (+.f64 alpha (+.f64 3 beta)) 1)
(*.f64 1 (+.f64 alpha (+.f64 3 beta)))
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2) (cbrt.f64 (+.f64 alpha (+.f64 3 beta))))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 3 beta))) (sqrt.f64 (+.f64 alpha (+.f64 3 beta))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 alpha (-.f64 3 beta))))
(/.f64 1 (/.f64 (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 beta 3))))
(/.f64 1 (/.f64 (+.f64 alpha (-.f64 3 beta)) (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 beta 3)) (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 beta 3)) (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta (+.f64 alpha 3)))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 alpha (-.f64 3 beta)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 beta 3))) (neg.f64 (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta))) (neg.f64 (+.f64 alpha (-.f64 3 beta))))
(/.f64 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 9 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 3 (+.f64 alpha beta)))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (-.f64 beta (+.f64 alpha 3)))
(/.f64 (-.f64 9 (pow.f64 (+.f64 alpha beta) 2)) (-.f64 3 (+.f64 alpha beta)))
(pow.f64 (+.f64 alpha (+.f64 3 beta)) 1)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 3 beta)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 3 beta)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 3)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)
(pow.f64 (/.f64 (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 beta 3))) -1)
(pow.f64 (/.f64 (+.f64 alpha (-.f64 3 beta)) (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta))) -1)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 3 beta)) 2))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 3 beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 3 beta)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (exp.f64 (+.f64 alpha 3))))
(log.f64 (*.f64 (exp.f64 beta) (+.f64 1 (expm1.f64 (+.f64 alpha 3)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (+.f64 1 (expm1.f64 (+.f64 alpha 3)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha 3))) (exp.f64 beta)))
(log.f64 (*.f64 (exp.f64 (+.f64 alpha 3)) (+.f64 1 (expm1.f64 beta))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha 3))) (+.f64 1 (expm1.f64 beta))))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 3 beta)) 3))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 3 beta))))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 3 beta))))
(exp.f64 (log.f64 (+.f64 alpha (+.f64 3 beta))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 3 beta))) 1))
(fma.f64 alpha 1 (+.f64 3 beta))
(fma.f64 beta 1 (+.f64 alpha 3))
(fma.f64 (+.f64 alpha 3) 1 beta)
(fma.f64 1 alpha (+.f64 3 beta))
(fma.f64 1 beta (+.f64 alpha 3))
(fma.f64 1 (+.f64 alpha 3) beta)
(fma.f64 1 (+.f64 alpha beta) 3)
(fma.f64 (cbrt.f64 (+.f64 alpha 3)) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2) (cbrt.f64 (+.f64 alpha 3)) beta)
(fma.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2) (+.f64 3 beta))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 3 beta))
(fma.f64 (cbrt.f64 beta) (cbrt.f64 (*.f64 beta beta)) (+.f64 alpha 3))
(fma.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta) (+.f64 alpha 3))
(fma.f64 (sqrt.f64 (+.f64 alpha 3)) (sqrt.f64 (+.f64 alpha 3)) beta)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 3 beta))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 3))
(fma.f64 (+.f64 27 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha (-.f64 alpha 3) 9)) beta)
(fma.f64 (-.f64 9 (*.f64 alpha alpha)) (/.f64 1 (-.f64 3 alpha)) beta)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) 3)
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 3)
Outputs
(+.f64 beta 2)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 2 alpha)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(+.f64 beta 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 3 alpha)
(+.f64 alpha 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(-.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 (+.f64 alpha -2) beta))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 alpha (-.f64 -2 beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 beta (-.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(*.f64 1 (+.f64 beta (+.f64 alpha 2)))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (fma.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha alpha))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) (fma.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta alpha)) (*.f64 alpha alpha)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)) (*.f64 alpha alpha)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha (+.f64 alpha (-.f64 -2 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 (+.f64 alpha -2) beta))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 alpha (-.f64 -2 beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 beta (-.f64 2 alpha)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha 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 (+.f64 beta 2) (+.f64 2 (-.f64 beta alpha)) (*.f64 alpha alpha)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)) (*.f64 alpha alpha)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha (+.f64 alpha (-.f64 -2 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 (+.f64 alpha -2) beta))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 alpha (-.f64 -2 beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 beta (-.f64 2 alpha)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) (fma.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta alpha)) (*.f64 alpha alpha)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)) (*.f64 alpha alpha)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha (+.f64 alpha (-.f64 -2 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 (+.f64 beta 2) (+.f64 2 (-.f64 beta alpha)) (*.f64 alpha alpha)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)) (*.f64 alpha alpha)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha (+.f64 alpha (-.f64 -2 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 (+.f64 alpha -2) beta))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 alpha (-.f64 -2 beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 beta (-.f64 2 alpha)))
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (fma.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha alpha))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) (fma.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta alpha)) (*.f64 alpha alpha)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)) (*.f64 alpha alpha)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha (+.f64 alpha (-.f64 -2 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 (+.f64 alpha -2) beta))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 alpha (-.f64 -2 beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 beta (-.f64 2 alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) beta))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.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)) (pow.f64 (+.f64 2 alpha) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta (-.f64 -2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))
(/.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 (+.f64 alpha -2) beta))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 alpha (-.f64 -2 beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 beta (-.f64 2 alpha)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (-.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (+.f64 alpha (-.f64 2 beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (+.f64 2 (-.f64 alpha beta)))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 1)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 1/2)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) 1/3)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 3)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(pow.f64 (/.f64 (fma.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha alpha)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) -1)
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) (fma.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta alpha)) (*.f64 alpha alpha)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)) (*.f64 alpha alpha)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha (+.f64 alpha (-.f64 -2 beta)) (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (/.f64 (-.f64 (-.f64 alpha 2) beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) -1)
(/.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 alpha (-.f64 -2 beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 beta (-.f64 2 alpha)))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 alpha 2)))))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 alpha)) (exp.f64 (+.f64 2 beta))))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(log.f64 (*.f64 (exp.f64 alpha) (+.f64 1 (expm1.f64 (+.f64 2 beta)))))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 alpha)) (+.f64 1 (expm1.f64 (+.f64 2 beta)))))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(log.f64 (*.f64 (exp.f64 beta) (exp.f64 (+.f64 alpha 2))))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (exp.f64 (+.f64 alpha 2))))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 beta))) (exp.f64 alpha)))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(log.f64 (*.f64 (exp.f64 (+.f64 2 beta)) (+.f64 1 (expm1.f64 alpha))))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 beta))) (+.f64 1 (expm1.f64 alpha))))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(log.f64 (*.f64 (exp.f64 (+.f64 alpha 2)) (+.f64 1 (expm1.f64 beta))))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha 2))))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 alpha 1 (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 beta 1 (+.f64 alpha 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (+.f64 2 beta) 1 alpha)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 1 alpha (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 1 beta (+.f64 alpha 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 1 (+.f64 2 beta) alpha)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 1 (+.f64 alpha beta) 2)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 1 (+.f64 alpha 2) beta)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (cbrt.f64 (+.f64 2 beta)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) alpha)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (cbrt.f64 (+.f64 2 beta)) alpha)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2) (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (cbrt.f64 beta) (cbrt.f64 (*.f64 beta beta)) (+.f64 alpha 2))
(fma.f64 (cbrt.f64 beta) (cbrt.f64 (*.f64 beta beta)) (+.f64 2 alpha))
(+.f64 2 (fma.f64 (cbrt.f64 beta) (cbrt.f64 (*.f64 beta beta)) alpha))
(fma.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta) (+.f64 alpha 2))
(fma.f64 (cbrt.f64 beta) (cbrt.f64 (*.f64 beta beta)) (+.f64 2 alpha))
(+.f64 2 (fma.f64 (cbrt.f64 beta) (cbrt.f64 (*.f64 beta beta)) alpha))
(fma.f64 (sqrt.f64 (+.f64 2 beta)) (sqrt.f64 (+.f64 2 beta)) alpha)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 2 beta))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 2))
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (+.f64 8 (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (-.f64 beta 2) 4)) alpha)
(fma.f64 (+.f64 (pow.f64 beta 3) 8) (/.f64 1 (fma.f64 beta (+.f64 beta -2) 4)) alpha)
(+.f64 alpha (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta (+.f64 beta -2) 4)))
(fma.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 1 (-.f64 2 beta)) alpha)
(+.f64 alpha (/.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 2 beta)))
(fma.f64 (+.f64 alpha 2) 1 beta)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) 2)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)) beta)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 2)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)) beta)
(+.f64 beta (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 3 beta)))) 1)
(+.f64 beta (+.f64 alpha 3))
(-.f64 (/.f64 (pow.f64 (+.f64 alpha 3) 2) (+.f64 alpha (-.f64 3 beta))) (/.f64 (*.f64 beta beta) (+.f64 alpha (-.f64 3 beta))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 alpha (-.f64 3 beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 3 (-.f64 alpha beta)))
(*.f64 (+.f64 alpha (+.f64 3 beta)) 1)
(+.f64 beta (+.f64 alpha 3))
(*.f64 1 (+.f64 alpha (+.f64 3 beta)))
(+.f64 beta (+.f64 alpha 3))
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2))
(+.f64 beta (+.f64 alpha 3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2) (cbrt.f64 (+.f64 alpha (+.f64 3 beta))))
(+.f64 beta (+.f64 alpha 3))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 3 beta))) (sqrt.f64 (+.f64 alpha (+.f64 3 beta))))
(+.f64 beta (+.f64 alpha 3))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (/.f64 1 (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (fma.f64 beta (+.f64 (-.f64 beta alpha) -3) (pow.f64 (+.f64 alpha 3) 2)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (fma.f64 beta (+.f64 -3 (-.f64 beta alpha)) (pow.f64 (+.f64 alpha 3) 2)))
(*.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 alpha (-.f64 3 beta))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 alpha (-.f64 3 beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 3 (-.f64 alpha beta)))
(/.f64 1 (/.f64 (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 beta 3))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (/.f64 1 (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (fma.f64 beta (+.f64 (-.f64 beta alpha) -3) (pow.f64 (+.f64 alpha 3) 2)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (fma.f64 beta (+.f64 -3 (-.f64 beta alpha)) (pow.f64 (+.f64 alpha 3) 2)))
(/.f64 1 (/.f64 (+.f64 alpha (-.f64 3 beta)) (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 alpha (-.f64 3 beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 3 (-.f64 alpha beta)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 beta 3)) (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2)))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (/.f64 1 (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (fma.f64 beta (+.f64 (-.f64 beta alpha) -3) (pow.f64 (+.f64 alpha 3) 2)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (fma.f64 beta (+.f64 -3 (-.f64 beta alpha)) (pow.f64 (+.f64 alpha 3) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 beta 3)) (fma.f64 beta beta (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta (+.f64 alpha 3)))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (/.f64 1 (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (fma.f64 beta (+.f64 (-.f64 beta alpha) -3) (pow.f64 (+.f64 alpha 3) 2)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (fma.f64 beta (+.f64 -3 (-.f64 beta alpha)) (pow.f64 (+.f64 alpha 3) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 alpha (-.f64 3 beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 3 (-.f64 alpha beta)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 beta 3))) (neg.f64 (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (/.f64 1 (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (fma.f64 beta (+.f64 (-.f64 beta alpha) -3) (pow.f64 (+.f64 alpha 3) 2)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (fma.f64 beta (+.f64 -3 (-.f64 beta alpha)) (pow.f64 (+.f64 alpha 3) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta))) (neg.f64 (+.f64 alpha (-.f64 3 beta))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 alpha (-.f64 3 beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 3 (-.f64 alpha beta)))
(/.f64 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 9 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 3 (+.f64 alpha beta)))))
(/.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 9 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 -3 (+.f64 beta alpha)))))
(/.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 9 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 3))))
(/.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -3)) 9))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (-.f64 beta (+.f64 alpha 3)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 alpha (-.f64 3 beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 3 (-.f64 alpha beta)))
(/.f64 (-.f64 9 (pow.f64 (+.f64 alpha beta) 2)) (-.f64 3 (+.f64 alpha beta)))
(/.f64 (-.f64 9 (pow.f64 (+.f64 beta alpha) 2)) (-.f64 3 (+.f64 beta alpha)))
(pow.f64 (+.f64 alpha (+.f64 3 beta)) 1)
(+.f64 beta (+.f64 alpha 3))
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 3 beta)) 2) 1/2)
(+.f64 beta (+.f64 alpha 3))
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 3 beta)) 3) 1/3)
(+.f64 beta (+.f64 alpha 3))
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 3)
(+.f64 beta (+.f64 alpha 3))
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)
(+.f64 beta (+.f64 alpha 3))
(pow.f64 (/.f64 (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 beta 3))) -1)
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (/.f64 1 (fma.f64 beta (-.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (fma.f64 beta (+.f64 (-.f64 beta alpha) -3) (pow.f64 (+.f64 alpha 3) 2)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (fma.f64 beta (+.f64 -3 (-.f64 beta alpha)) (pow.f64 (+.f64 alpha 3) 2)))
(pow.f64 (/.f64 (+.f64 alpha (-.f64 3 beta)) (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta))) -1)
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 alpha (-.f64 3 beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 3 (-.f64 alpha beta)))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 3 beta)) 2))
(+.f64 beta (+.f64 alpha 3))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 3 beta))))
(+.f64 beta (+.f64 alpha 3))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 3 beta)))))
(+.f64 beta (+.f64 alpha 3))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (exp.f64 (+.f64 alpha 3))))
(+.f64 beta (+.f64 alpha 3))
(log.f64 (*.f64 (exp.f64 beta) (+.f64 1 (expm1.f64 (+.f64 alpha 3)))))
(+.f64 beta (+.f64 alpha 3))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (+.f64 1 (expm1.f64 (+.f64 alpha 3)))))
(+.f64 beta (+.f64 alpha 3))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha 3))) (exp.f64 beta)))
(+.f64 beta (+.f64 alpha 3))
(log.f64 (*.f64 (exp.f64 (+.f64 alpha 3)) (+.f64 1 (expm1.f64 beta))))
(+.f64 beta (+.f64 alpha 3))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha 3))) (+.f64 1 (expm1.f64 beta))))
(+.f64 beta (+.f64 alpha 3))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 3 beta)) 3))
(+.f64 beta (+.f64 alpha 3))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 3 beta))))
(+.f64 beta (+.f64 alpha 3))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 3 beta))))
(+.f64 beta (+.f64 alpha 3))
(exp.f64 (log.f64 (+.f64 alpha (+.f64 3 beta))))
(+.f64 beta (+.f64 alpha 3))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 3 beta))) 1))
(+.f64 beta (+.f64 alpha 3))
(fma.f64 alpha 1 (+.f64 3 beta))
(+.f64 beta (+.f64 alpha 3))
(fma.f64 beta 1 (+.f64 alpha 3))
(+.f64 beta (+.f64 alpha 3))
(fma.f64 (+.f64 alpha 3) 1 beta)
(+.f64 beta (+.f64 alpha 3))
(fma.f64 1 alpha (+.f64 3 beta))
(+.f64 beta (+.f64 alpha 3))
(fma.f64 1 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 alpha 3))
(fma.f64 1 (+.f64 alpha 3) beta)
(+.f64 beta (+.f64 alpha 3))
(fma.f64 1 (+.f64 alpha beta) 3)
(+.f64 beta (+.f64 alpha 3))
(fma.f64 (cbrt.f64 (+.f64 alpha 3)) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2) beta)
(+.f64 beta (+.f64 alpha 3))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2) (cbrt.f64 (+.f64 alpha 3)) beta)
(+.f64 beta (+.f64 alpha 3))
(fma.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2) (+.f64 3 beta))
(+.f64 beta (+.f64 alpha 3))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 3 beta))
(+.f64 beta (+.f64 alpha 3))
(fma.f64 (cbrt.f64 beta) (cbrt.f64 (*.f64 beta beta)) (+.f64 alpha 3))
(+.f64 alpha (fma.f64 (cbrt.f64 beta) (cbrt.f64 (*.f64 beta beta)) 3))
(fma.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta) (+.f64 alpha 3))
(fma.f64 (cbrt.f64 beta) (cbrt.f64 (*.f64 beta beta)) (+.f64 alpha 3))
(+.f64 alpha (fma.f64 (cbrt.f64 beta) (cbrt.f64 (*.f64 beta beta)) 3))
(fma.f64 (sqrt.f64 (+.f64 alpha 3)) (sqrt.f64 (+.f64 alpha 3)) beta)
(+.f64 beta (+.f64 alpha 3))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 3 beta))
(+.f64 beta (+.f64 alpha 3))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha 3))
(+.f64 beta (+.f64 alpha 3))
(fma.f64 (+.f64 27 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha (-.f64 alpha 3) 9)) beta)
(fma.f64 (+.f64 (pow.f64 alpha 3) 27) (/.f64 1 (fma.f64 alpha (+.f64 alpha -3) 9)) beta)
(+.f64 beta (/.f64 (+.f64 (pow.f64 alpha 3) 27) (fma.f64 alpha (+.f64 alpha -3) 9)))
(fma.f64 (-.f64 9 (*.f64 alpha alpha)) (/.f64 1 (-.f64 3 alpha)) beta)
(+.f64 beta (/.f64 (fma.f64 alpha (neg.f64 alpha) 9) (-.f64 3 alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) 3)
(+.f64 beta (+.f64 alpha 3))
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 3)
(+.f64 beta (+.f64 alpha 3))

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 63 to 41 computations (34.9% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite74.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
750×prod-diff_binary64
595×fma-def_binary64
311×fma-neg_binary64
293×log-div_binary64
241×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01235
126935
2426135
Stop Event
node limit
Counts
2 → 77
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 1 alpha))))) (#(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 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 (+.f64 alpha beta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 alpha) (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 2 alpha) beta))) 1))))))

simplify157.0ms (1%)

Algorithm
egg-herbie
Rules
477×distribute-rgt-in_binary64
457×distribute-lft-in_binary64
303×fma-def_binary64
302×associate-*r*_binary64
277×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04915057
116574750
279704740
Stop Event
node limit
Counts
125 → 227
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))))
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(*.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 (+.f64 2 alpha) beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 1 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 (+.f64 2 alpha) beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 (+.f64 2 alpha) beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 (+.f64 alpha beta) -2))
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha)) -1)
(neg.f64 (/.f64 (+.f64 1 alpha) (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 2 alpha) beta))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 2 alpha) 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 beta 2)) (+.f64 beta 3))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.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 2)) (+.f64 beta 3)) (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 2)) (+.f64 beta 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 -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 2)) (+.f64 beta 3)) (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 2)) (+.f64 beta 3))) (*.f64 alpha (*.f64 alpha (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (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 (+.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 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (+.f64 beta 3) 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 2)) (+.f64 beta 3)) (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 2)) (+.f64 beta 3)) (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 2)) (+.f64 beta 3))) (*.f64 alpha (*.f64 alpha (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (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 4) (neg.f64 (fma.f64 beta 2 5)))) (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 (neg.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 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 (fma.f64 beta 2 4) (neg.f64 (fma.f64 beta 2 5)))) (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 4) (neg.f64 (fma.f64 beta 2 5)))) (*.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 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))) (*.f64 alpha alpha))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 1 (*.f64 alpha 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 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (-.f64 1 (neg.f64 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))))))))) (/.f64 (neg.f64 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))) (*.f64 alpha alpha))))
(+.f64 (-.f64 (+.f64 (/.f64 1 alpha) (*.f64 (/.f64 (-.f64 (fma.f64 beta -1 -3) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 1 (-.f64 (fma.f64 beta -1 -3) (+.f64 beta 2))))) (*.f64 (/.f64 (+.f64 beta 3) (pow.f64 alpha 3)) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (-.f64 (fma.f64 beta -1 -3) (+.f64 beta 2)) (*.f64 alpha alpha))))
(-.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))))
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(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (+.f64 (*.f64 (+.f64 beta alpha) -2) (pow.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 (+.f64 alpha beta) -2))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)))
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 1)
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 3) 1/3)
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 3)
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 2)
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(pow.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha)) -1)
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(neg.f64 (/.f64 (+.f64 1 alpha) (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) 1) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(fabs.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)))))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 3))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 3)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 2 alpha) beta))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (+.f64 2 (+.f64 beta alpha)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 2 alpha) beta))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (+.f64 2 (+.f64 beta alpha)))

eval1.2s (7.2%)

Compiler

Compiled 55819 to 40791 computations (26.9% saved)

prune460.0ms (2.8%)

Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New1312191331
Fresh71421
Picked101
Done246
Total1322371359
Error
0b
Counts
1359 → 37
Alt Table
Click to see full alt table
StatusErrorProgram
31.0b
(pow.f64 beta -2)
1.3b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))) 3) (+.f64 alpha (+.f64 2 beta)))
23.7b
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
3.5b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
4.3b
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 2 beta)))
57.1b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
31.7b
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta)))
27.8b
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
28.3b
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
0.1b
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
28.1b
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
42.0b
(/.f64 (/.f64 alpha beta) beta)
26.4b
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
28.3b
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
31.0b
(/.f64 (/.f64 1 beta) beta)
61.8b
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
34.2b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2)))
29.8b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.1b
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))) (+.f64 alpha (+.f64 2 beta)))
8.3b
(/.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))))
9.3b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
36.3b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
45.5b
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
43.3b
(/.f64 alpha (*.f64 beta beta))
26.7b
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
31.3b
(/.f64 1 (*.f64 beta beta))
61.7b
(/.f64 1 (*.f64 alpha alpha))
62.4b
(/.f64 1 alpha)
33.9b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
4.3b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
23.8b
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
42.0b
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
31.1b
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
61.7b
(*.f64 (/.f64 1 alpha) (/.f64 1 alpha))
25.2b
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
50.7b
(*.f64 1 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 (+.f64 beta 2) alpha)) (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 alpha (-.f64 3 beta)))) (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 alpha (-.f64 3 beta))))))
24.1b
(*.f64 1 (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 alpha)) (+.f64 (+.f64 3 alpha) beta))))
Compiler

Compiled 1138 to 819 computations (28% saved)

localize79.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 112 to 77 computations (31.3% saved)

series18.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite104.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
413×log1p-udef_binary64
239×add-sqr-sqrt_binary64
233×*-un-lft-identity_binary64
233×pow1_binary64
224×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01991
148185
2757085
Stop Event
node limit
Counts
4 → 164
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2) (cbrt.f64 (/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (sqrt.f64 (/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))))) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 alpha)) (*.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) 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(expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))))

simplify155.0ms (0.9%)

Algorithm
egg-herbie
Rules
770×associate-/l*_binary64
649×fma-def_binary64
497×times-frac_binary64
260×*-commutative_binary64
252×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101213707
1363413069
Stop Event
node limit
Counts
260 → 464
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
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(/.f64 (+.f64 1 alpha) beta)
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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 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2))))
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(-.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 1 (+.f64 beta 3))
(+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) alpha) (/.f64 1 (+.f64 beta 3)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) alpha) (+.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) alpha) (+.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2)))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 2)))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) alpha)) (+.f64 1 (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 1 (*.f64 -1 (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 1 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 1 (*.f64 -1 (+.f64 beta 3)))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 1 (*.f64 -1 (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 1 (/.f64 1 alpha)))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))))) (/.f64 alpha (+.f64 3 alpha))))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)) (+.f64 (/.f64 alpha (+.f64 3 alpha)) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 4)))))))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 4)))))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 4)))))))
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
1
(+.f64 (/.f64 1 beta) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 (/.f64 1 beta) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 1 (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 1 (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2)))))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.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 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.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 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (+.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 beta 1) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1)
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(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 3 (+.f64 beta alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) 1) (+.f64 3 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)) (cbrt.f64 (+.f64 3 (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (+.f64 3 (+.f64 beta alpha)))) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) (/.f64 1 (+.f64 3 (+.f64 beta alpha)))) (-.f64 1 alpha))
(/.f64 (*.f64 -1 (+.f64 1 alpha)) (+.f64 (neg.f64 (+.f64 beta alpha)) -3))
(/.f64 (*.f64 (+.f64 1 alpha) -1) (+.f64 (neg.f64 (+.f64 beta alpha)) -3))
(/.f64 (*.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(/.f64 (*.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 alpha))
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 3 (+.f64 beta alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) 3) (pow.f64 (+.f64 1 alpha) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 beta alpha)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 beta alpha)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 1 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 1 beta) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (neg.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (+.f64 1 beta) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 1 beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)) -1)
(neg.f64 (/.f64 (+.f64 1 beta) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))
(+.f64 (*.f64 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) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 7 (*.f64 3 alpha)) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))) (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 (fma.f64 (neg.f64 (*.f64 beta beta)) (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))) (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 3 alpha 7) (pow.f64 (+.f64 alpha 3) 2)))) (/.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 (*.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)))))))
(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) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 7 (*.f64 3 alpha)) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (fma.f64 -1 (*.f64 (pow.f64 beta 3) (+.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 7 (*.f64 3 alpha)) (+.f64 alpha 3))) (+.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)))) (neg.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.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) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 7 (*.f64 3 alpha)) (pow.f64 (+.f64 alpha 3) 2)))) (+.f64 alpha 3))))))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))))))
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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))
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1
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(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)
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1
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 1 (+.f64 2 alpha))
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1
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1
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(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) 3)
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha beta)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) 2)
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha beta))) 2))
(fabs.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha beta))))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))))))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha beta)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) 3))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha beta)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 3 (+.f64 beta alpha)) 3)))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha beta)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) 3) (pow.f64 (+.f64 1 alpha) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha beta)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha beta)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 beta alpha)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 alpha beta)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (+.f64 3 (+.f64 alpha beta)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 beta alpha)))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 alpha beta)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (+.f64 3 (+.f64 alpha beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))) 1)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 1 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (+.f64 1 beta) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) 2))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (neg.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) 1) (+.f64 -2 (neg.f64 (+.f64 alpha beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 beta))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 1 (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2))
(/.f64 (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))) (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(*.f64 (/.f64 (+.f64 1 beta) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 1 beta) (-.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 (-.f64 beta alpha) -2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(*.f64 (/.f64 (+.f64 1 beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 1 beta) (-.f64 (-.f64 alpha beta) 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)))
(pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)) -1)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(neg.f64 (/.f64 (+.f64 1 beta) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) 1) (+.f64 -2 (neg.f64 (+.f64 alpha beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta)) 2))
(fabs.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta)))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (exp.f64 (log1p.f64 beta)) (+.f64 (+.f64 alpha 2) beta))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (exp.f64 (log1p.f64 beta)) (+.f64 (+.f64 alpha 2) beta))

localize5.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.3b
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
Compiler

Compiled 17 to 9 computations (47.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite61.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
706×pow1_binary64
664×log1p-expm1-u_binary64
664×expm1-log1p-u_binary64
663×add-log-exp_binary64
648×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
113110
2185510
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 2) (pow.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 2) (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (*.f64 (cbrt.f64 (+.f64 alpha 1)) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) alpha) (/.f64 (sqrt.f64 (+.f64 alpha 1)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 (sqrt.f64 (+.f64 alpha 1)) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (*.f64 alpha (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -2) (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (/.f64 (+.f64 alpha 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) alpha) (/.f64 (cbrt.f64 (+.f64 alpha 1)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) 1) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (/.f64 (+.f64 alpha 1) alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 2) (pow.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 alpha 1)) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (*.f64 alpha alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 alpha) (log.f64 (pow.f64 alpha -2))))))))

simplify43.0ms (0.3%)

Algorithm
egg-herbie
Rules
340×unswap-sqr_binary64
310×hypot-def_binary64
309×times-frac_binary64
269×associate-/l*_binary64
244×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092586
1249578
2813464
34287464
Stop Event
node limit
Counts
44 → 49
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(/.f64 1 alpha)
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(/.f64 1 alpha)
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(-.f64 (+.f64 1 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))) 1)
(*.f64 1 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2)))
(*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))
(*.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2)) 1)
(*.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 2) (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 2) (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (*.f64 (cbrt.f64 (+.f64 alpha 1)) (pow.f64 alpha -2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) alpha) (/.f64 (sqrt.f64 (+.f64 alpha 1)) alpha))
(*.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 (sqrt.f64 (+.f64 alpha 1)) (pow.f64 alpha -2)))
(*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (*.f64 alpha (neg.f64 alpha))))
(*.f64 (pow.f64 alpha -2) (+.f64 alpha 1))
(*.f64 (/.f64 (+.f64 alpha 1) alpha) (/.f64 1 alpha))
(*.f64 (/.f64 1 alpha) (/.f64 (+.f64 alpha 1) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) alpha) (/.f64 (cbrt.f64 (+.f64 alpha 1)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (*.f64 alpha alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) 1) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 alpha alpha)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (pow.f64 (cbrt.f64 alpha) 2)))
(pow.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) alpha) 2)
(pow.f64 (/.f64 alpha (/.f64 (+.f64 alpha 1) alpha)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha (neg.f64 alpha))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 2) (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha 1)) (pow.f64 alpha -2)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (*.f64 alpha alpha) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))))
(exp.f64 (+.f64 (log1p.f64 alpha) (log.f64 (pow.f64 alpha -2))))
Outputs
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(/.f64 1 alpha)
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(/.f64 1 alpha)
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(-.f64 (+.f64 1 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))) 1)
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(*.f64 1 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(*.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2)) 1)
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(*.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 2) (pow.f64 alpha 4))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 2) (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (*.f64 (cbrt.f64 (+.f64 alpha 1)) (pow.f64 alpha -2)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) alpha) (/.f64 (sqrt.f64 (+.f64 alpha 1)) alpha))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(*.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 (sqrt.f64 (+.f64 alpha 1)) (pow.f64 alpha -2)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (*.f64 alpha (neg.f64 alpha))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(*.f64 (pow.f64 alpha -2) (+.f64 alpha 1))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(*.f64 (/.f64 (+.f64 alpha 1) alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(*.f64 (/.f64 1 alpha) (/.f64 (+.f64 alpha 1) alpha))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) alpha) (/.f64 (cbrt.f64 (+.f64 alpha 1)) alpha))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (*.f64 alpha alpha)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) 1) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 alpha alpha)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))
(/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (pow.f64 alpha 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 alpha -2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (pow.f64 alpha 4))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (cbrt.f64 (pow.f64 alpha 4)))
(/.f64 (cbrt.f64 (+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))) (/.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))
(/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (pow.f64 alpha 4))))
(pow.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2)) 1)
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2)) 3) 1/3)
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))) 3)
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) alpha) 2)
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(pow.f64 (/.f64 alpha (/.f64 (+.f64 alpha 1) alpha)) -1)
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(neg.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha (neg.f64 alpha))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 2) (pow.f64 alpha 4)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha 1)) (pow.f64 alpha -2)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2)) 3))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (*.f64 alpha alpha) 3)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 1) (pow.f64 alpha -2))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (pow.f64 alpha -2))
(exp.f64 (+.f64 (log1p.f64 alpha) (log.f64 (pow.f64 alpha -2))))
(exp.f64 (+.f64 (log1p.f64 alpha) (*.f64 -2 (log.f64 alpha))))
(*.f64 (pow.f64 alpha -2) (exp.f64 (log1p.f64 alpha)))
(exp.f64 (fma.f64 -2 (log.f64 alpha) (log1p.f64 alpha)))

localize43.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 47 to 25 computations (46.8% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite92.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
840×prod-diff_binary64
400×fma-def_binary64
279×expm1-udef_binary64
279×log1p-udef_binary64
210×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01235
129735
2463135
Stop Event
node limit
Counts
2 → 161
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta)))) (/.f64 alpha (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))) (-.f64 -3 (+.f64 alpha beta))) (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (-.f64 -3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta))))) 2) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta))))) (sqrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (-.f64 -1 alpha)) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (neg.f64 (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -3 (+.f64 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 -1 alpha)) 2) (-.f64 -3 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (-.f64 -1 alpha)) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (-.f64 -3 (+.f64 alpha beta))) (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 alpha) 1) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 -3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) (-.f64 -3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) 1) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) (-.f64 -3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 alpha) (cbrt.f64 (pow.f64 (-.f64 -3 (+.f64 alpha beta)) 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(+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 (-.f64 2 beta) alpha) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))))

simplify125.0ms (0.8%)

Algorithm
egg-herbie
Rules
363×distribute-rgt-in_binary64
349×distribute-lft-in_binary64
323×fma-def_binary64
288×associate-/l*_binary64
278×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068511221
120868927
Stop Event
node limit
Counts
209 → 329
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 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.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 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))))))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 3 alpha))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (+.f64 5 (*.f64 2 alpha))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (pow.f64 beta 4)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (pow.f64 beta 4)))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (pow.f64 beta 4)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 3 alpha))))) (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))) (+.f64 5 (*.f64 2 alpha)))) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (pow.f64 beta 4))))))))
(/.f64 -1 (+.f64 beta 2))
(-.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 1 (+.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)))) (/.f64 1 (+.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))))) (/.f64 1 (+.f64 beta 2)))
-1
(-.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 1)
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))) 1)
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))) 1)
-1
(-.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 1)
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))) 1)
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))) 1)
(*.f64 -1 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta)))))) 1)
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(+.f64 (fma.f64 (/.f64 -1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (neg.f64 (*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))
(+.f64 (fma.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 (-.f64 2 beta) alpha) (neg.f64 (*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))
(+.f64 (fma.f64 -1 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))))
(+.f64 (fma.f64 1 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))))
(+.f64 (fma.f64 (/.f64 -1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (neg.f64 (*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))))
(+.f64 (fma.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 (-.f64 2 beta) alpha) (neg.f64 (*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))))
(+.f64 (fma.f64 -1 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (neg.f64 (*.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))) (fma.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4)) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))))
(+.f64 (fma.f64 1 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))) (neg.f64 (*.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))) (fma.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4)) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (*.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))) (fma.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4)) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (*.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))) (fma.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4)) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))))
(+.f64 (fma.f64 (/.f64 -1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (neg.f64 (*.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))) (fma.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4)) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))))
(+.f64 (fma.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 (-.f64 2 beta) alpha) (neg.f64 (*.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))) (fma.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4)) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))))
(+.f64 (fma.f64 -1 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (neg.f64 (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))))) (fma.f64 (neg.f64 (-.f64 (-.f64 2 beta) alpha)) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))))
(+.f64 (fma.f64 1 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))) (neg.f64 (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))))) (fma.f64 (neg.f64 (-.f64 (-.f64 2 beta) alpha)) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))))) (fma.f64 (neg.f64 (-.f64 (-.f64 2 beta) alpha)) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))))) (fma.f64 (neg.f64 (-.f64 (-.f64 2 beta) alpha)) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))))
(+.f64 (fma.f64 (/.f64 -1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (neg.f64 (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))))) (fma.f64 (neg.f64 (-.f64 (-.f64 2 beta) alpha)) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))))
(+.f64 (fma.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 (-.f64 2 beta) alpha) (neg.f64 (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))))) (fma.f64 (neg.f64 (-.f64 (-.f64 2 beta) alpha)) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))))
(-.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))))) 1)
(*.f64 (-.f64 -1 alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) 1)
(*.f64 1 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (*.f64 (cbrt.f64 (-.f64 -1 alpha)) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (sqrt.f64 (-.f64 -1 alpha)) (*.f64 (sqrt.f64 (-.f64 -1 alpha)) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (neg.f64 (-.f64 -1 alpha)) (/.f64 -1 (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 -1 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 alpha)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 alpha)) 1) (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (/.f64 (-.f64 -1 alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 -1 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 (-.f64 -1 alpha)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (-.f64 -1 alpha) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4))
(*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 (-.f64 2 beta) alpha))
(pow.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) 2)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -1 alpha)) -1)
(neg.f64 (/.f64 (-.f64 -1 alpha) (fma.f64 -1 (+.f64 alpha beta) -2)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) 1))
(fma.f64 -1 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(fma.f64 1 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(fma.f64 (/.f64 -1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(fma.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 (-.f64 2 beta) alpha) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
Outputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 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 2)) (+.f64 beta 3)) (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 2)) (+.f64 beta 3)))
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(/.f64 1 alpha)
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(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (/.f64 1 alpha))
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(/.f64 1 alpha)
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(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
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(+.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))))) (fma.f64 (neg.f64 (-.f64 (-.f64 2 beta) alpha)) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))))
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(+.f64 (/.f64 -1 (+.f64 beta (+.f64 2 alpha))) (+.f64 (*.f64 (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (+.f64 -2 (+.f64 beta alpha))) (*.f64 0 (/.f64 (*.f64 alpha (-.f64 2 (+.f64 beta alpha))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))))))
(+.f64 (fma.f64 (/.f64 -1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (neg.f64 (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))))) (fma.f64 (neg.f64 (-.f64 (-.f64 2 beta) alpha)) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))))
(+.f64 (fma.f64 (neg.f64 (-.f64 2 (+.f64 beta alpha))) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (*.f64 (-.f64 2 (+.f64 beta alpha)) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))))) (fma.f64 (/.f64 -1 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) (+.f64 alpha (-.f64 beta 2)) 4) (*.f64 (-.f64 2 (+.f64 beta alpha)) (neg.f64 (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)))))))
(+.f64 (*.f64 0 (/.f64 (*.f64 alpha (-.f64 2 (+.f64 beta alpha))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)))) (fma.f64 (/.f64 -1 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 alpha 2)) 4) (*.f64 (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (+.f64 -2 (+.f64 beta alpha)))))
(+.f64 (fma.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 (-.f64 2 beta) alpha) (neg.f64 (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))))) (fma.f64 (neg.f64 (-.f64 (-.f64 2 beta) alpha)) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))))
(+.f64 (fma.f64 (neg.f64 (-.f64 2 (+.f64 beta alpha))) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (*.f64 (-.f64 2 (+.f64 beta alpha)) (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))))) (fma.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 2 (+.f64 beta alpha)) (*.f64 (-.f64 2 (+.f64 beta alpha)) (neg.f64 (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)))))))
(+.f64 (*.f64 0 (/.f64 (*.f64 alpha (-.f64 2 (+.f64 beta alpha))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)))) (-.f64 (/.f64 (+.f64 -2 (+.f64 beta alpha)) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (/.f64 (*.f64 alpha (-.f64 2 (+.f64 beta alpha))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)))))
(-.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))))) 1)
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) 1)
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 1 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) 2))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (*.f64 (cbrt.f64 (-.f64 -1 alpha)) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (sqrt.f64 (-.f64 -1 alpha)) (*.f64 (sqrt.f64 (-.f64 -1 alpha)) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (neg.f64 (-.f64 -1 alpha)) (/.f64 -1 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 -1 alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 alpha)) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 alpha)) 1) (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (/.f64 (-.f64 -1 alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (/.f64 (-.f64 -1 alpha) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (/.f64 (-.f64 -1 alpha) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (/.f64 (-.f64 -1 alpha) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (/.f64 (-.f64 -1 alpha) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 -1 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (-.f64 -1 alpha) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (/.f64 (-.f64 -1 alpha) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 (-.f64 -1 alpha)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (-.f64 -1 alpha) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (/.f64 (-.f64 -1 alpha) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (-.f64 -1 alpha) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4))
(*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 alpha (-.f64 beta 2)) 4) (/.f64 (-.f64 -1 alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 alpha 2)) 4) (/.f64 (-.f64 -1 alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)))
(*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 (-.f64 2 beta) alpha))
(/.f64 (*.f64 (-.f64 -1 alpha) (-.f64 2 (+.f64 beta alpha))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)))
(*.f64 (-.f64 2 (+.f64 beta alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))))
(pow.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) 1)
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) 3) 1/3)
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) 2)
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -1 alpha)) -1)
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(neg.f64 (/.f64 (-.f64 -1 alpha) (fma.f64 -1 (+.f64 alpha beta) -2)))
(/.f64 (neg.f64 (-.f64 -1 alpha)) (fma.f64 -1 (+.f64 beta alpha) -2))
(/.f64 (+.f64 1 alpha) (fma.f64 -1 (+.f64 beta alpha) -2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha)) 2))
(fabs.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) 3))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta)))) 1))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(fma.f64 -1 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(fma.f64 1 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha)))
(fma.f64 (/.f64 -1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(fma.f64 (/.f64 -1 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (fma.f64 (+.f64 beta alpha) (+.f64 alpha (-.f64 beta 2)) 4) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 beta 2) alpha)))
(-.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 alpha 2)) 4)) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (/.f64 alpha (+.f64 beta (+.f64 2 alpha))))
(fma.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 (-.f64 2 beta) alpha) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(fma.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 2 (+.f64 beta alpha)) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 beta 2) alpha)))
(-.f64 (/.f64 (+.f64 -2 (+.f64 beta alpha)) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (/.f64 alpha (+.f64 beta (+.f64 2 alpha))))

localize29.0ms (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 2 alpha) (+.f64 3 alpha))
0.0b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
1.2b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
Compiler

Compiled 75 to 52 computations (30.7% saved)

series15.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
6.0ms
alpha
@-inf
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
2.0ms
alpha
@0
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
1.0ms
beta
@0
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
1.0ms
beta
@inf
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
1.0ms
alpha
@inf
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))

rewrite82.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
359×log1p-udef_binary64
358×expm1-udef_binary64
338×fma-neg_binary64
207×add-sqr-sqrt_binary64
202×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01657
139557
2648257
Stop Event
node limit
Counts
3 → 148
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(*.f64 (+.f64 2 alpha) (+.f64 3 alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 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simplify93.0ms (0.6%)

Algorithm
egg-herbie
Rules
652×distribute-rgt-in_binary64
636×distribute-lft-in_binary64
517×times-frac_binary64
495×associate-/l*_binary64
405×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06306844
123426567
Stop Event
node limit
Counts
196 → 286
Calls
Call 1
Inputs
1/6
(+.f64 1/6 (*.f64 1/36 alpha))
(+.f64 1/6 (+.f64 (*.f64 1/36 alpha) (*.f64 -11/216 (pow.f64 alpha 2))))
(+.f64 (*.f64 49/1296 (pow.f64 alpha 3)) (+.f64 1/6 (+.f64 (*.f64 1/36 alpha) (*.f64 -11/216 (pow.f64 alpha 2)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 46 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 46 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 5) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 5) (+.f64 3 alpha)))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(-.f64 (+.f64 (/.f64 alpha (*.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))
(-.f64 (+.f64 (/.f64 alpha (*.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))))) (pow.f64 beta 2))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))
(-.f64 (+.f64 (/.f64 alpha (*.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))))) (pow.f64 beta 2))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))))) (pow.f64 beta 3)) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 -1 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) beta)) (+.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 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 -1 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) beta)) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 -1 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 -1 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 -1 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 -1 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha))))) (pow.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha) (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))) (pow.f64 alpha 2)))))
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6
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(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 1 beta)) 1) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 1 beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) 1) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha 2)) (+.f64 alpha 3))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha 3)) (+.f64 alpha 2))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 2))) (cbrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (sqrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(/.f64 (*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha 2) (neg.f64 (+.f64 alpha 3))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha 3))
(/.f64 (*.f64 (+.f64 (neg.f64 beta) -1) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (neg.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 (neg.f64 beta) -1)) (neg.f64 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (neg.f64 alpha) -1)) (*.f64 (+.f64 alpha 2) (neg.f64 (+.f64 alpha 3))))
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (+.f64 alpha 3))
(pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 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 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))))
(exp.f64 (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 2 beta)))) (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))
(exp.f64 (*.f64 (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 2 beta)))) (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))) 1))
(+.f64 (*.f64 alpha (+.f64 alpha 2)) (+.f64 (*.f64 alpha 3) 6))
(+.f64 (+.f64 (*.f64 alpha 3) 6) (*.f64 alpha (+.f64 alpha 2)))
(+.f64 (*.f64 (+.f64 (*.f64 alpha 3) 6) 1) (*.f64 (*.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (*.f64 alpha (+.f64 alpha 3)) (*.f64 2 (+.f64 alpha 3)))
(+.f64 (*.f64 2 (+.f64 alpha 3)) (*.f64 alpha (+.f64 alpha 3)))
(+.f64 (*.f64 (+.f64 alpha 3) alpha) (*.f64 (+.f64 alpha 3) 2))
(+.f64 (*.f64 (+.f64 alpha 3) 2) (*.f64 (+.f64 alpha 3) alpha))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) 1)
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (+.f64 27 (pow.f64 alpha 3))) (*.f64 (+.f64 4 (*.f64 alpha (-.f64 alpha 2))) (+.f64 9 (*.f64 alpha (-.f64 alpha 3)))))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 27 (pow.f64 alpha 3))) (*.f64 (-.f64 2 alpha) (+.f64 9 (*.f64 alpha (-.f64 alpha 3)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 (+.f64 4 (*.f64 alpha (-.f64 alpha 2))) (-.f64 3 alpha)))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 (-.f64 2 alpha) (-.f64 3 alpha)))
(/.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 (+.f64 9 (*.f64 alpha (-.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2)))))
(/.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 (-.f64 3 alpha) (+.f64 4 (*.f64 alpha (-.f64 alpha 2)))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (+.f64 9 (*.f64 alpha (-.f64 alpha 3))) (-.f64 2 alpha)))
(/.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (-.f64 3 alpha) (-.f64 2 alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 alpha 3) 6) 3) (pow.f64 (*.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (*.f64 (+.f64 (*.f64 alpha 3) 6) (+.f64 (*.f64 alpha 3) 6)) (-.f64 (*.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 alpha (+.f64 alpha 2))) (*.f64 (+.f64 (*.f64 alpha 3) 6) (*.f64 alpha (+.f64 alpha 2))))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 alpha 3) 6) (+.f64 (*.f64 alpha 3) 6)) (*.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 alpha (+.f64 alpha 2)))) (-.f64 (+.f64 (*.f64 alpha 3) 6) (*.f64 alpha (+.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (+.f64 alpha 3)) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 alpha 3)) (-.f64 2 alpha))
(/.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (+.f64 alpha 2)) (+.f64 9 (*.f64 alpha (-.f64 alpha 3))))
(/.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2)) (-.f64 3 alpha))
(/.f64 (*.f64 (+.f64 alpha 2) (+.f64 27 (pow.f64 alpha 3))) (+.f64 9 (*.f64 alpha (-.f64 alpha 3))))
(/.f64 (*.f64 (+.f64 alpha 2) (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha))
(/.f64 (*.f64 (+.f64 alpha 3) (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 alpha 3) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))
(pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha 2)) (+.f64 alpha 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 (+.f64 alpha 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 1))
(fma.f64 (+.f64 alpha 2) 3 (*.f64 alpha (+.f64 alpha 2)))
(fma.f64 3 (+.f64 alpha 2) (*.f64 alpha (+.f64 alpha 2)))
Outputs
1/6
(+.f64 1/6 (*.f64 1/36 alpha))
(fma.f64 1/36 alpha 1/6)
(+.f64 1/6 (+.f64 (*.f64 1/36 alpha) (*.f64 -11/216 (pow.f64 alpha 2))))
(+.f64 1/6 (fma.f64 1/36 alpha (*.f64 -11/216 (*.f64 alpha alpha))))
(+.f64 (fma.f64 1/36 alpha 1/6) (*.f64 -11/216 (*.f64 alpha alpha)))
(+.f64 (*.f64 49/1296 (pow.f64 alpha 3)) (+.f64 1/6 (+.f64 (*.f64 1/36 alpha) (*.f64 -11/216 (pow.f64 alpha 2)))))
(fma.f64 49/1296 (pow.f64 alpha 3) (+.f64 1/6 (fma.f64 1/36 alpha (*.f64 -11/216 (*.f64 alpha alpha)))))
(fma.f64 49/1296 (pow.f64 alpha 3) (+.f64 (fma.f64 1/36 alpha 1/6) (*.f64 -11/216 (*.f64 alpha alpha))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 14 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 14 (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 46 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 14 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 46 (pow.f64 alpha 4))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 14 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 14 (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 46 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 14 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 46 (pow.f64 alpha 4))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (+.f64 alpha 1) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(fma.f64 beta (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3)))))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(fma.f64 beta (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3)))))) (fma.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 alpha 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 alpha 3)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3)))))) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 alpha 3))) (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 alpha 3))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3)))))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 5) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 5) (+.f64 3 alpha)))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(fma.f64 beta (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3)))))) (fma.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 alpha 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 alpha 3)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 alpha 3))) (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 alpha 3))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 5) (+.f64 alpha 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 5) (+.f64 alpha 3)))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))))
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(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 1/36 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 beta 7) (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2))))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))) (pow.f64 alpha 2))))))
(fma.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (*.f64 -1/36 (/.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6)))))) alpha (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 alpha 3) (fma.f64 1/36 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 1/6 (/.f64 (+.f64 beta 7) (/.f64 (+.f64 2 beta) (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (*.f64 -1/36 (/.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6)))))))) (*.f64 -1/6 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 7))) (*.f64 1/6 (/.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (*.f64 -1/36 (/.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6)))))) (/.f64 (+.f64 2 beta) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6)))))) (/.f64 (+.f64 2 beta) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6)))))))) (*.f64 (*.f64 alpha alpha) (fma.f64 1/36 (/.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 7))) (*.f64 1/6 (/.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (*.f64 -1/36 (/.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6)))))) (/.f64 (+.f64 2 beta) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6)))))))))))
(fma.f64 alpha (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (*.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (fma.f64 2 beta 10) (fma.f64 3 beta 6))) -1/36)) (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (neg.f64 (fma.f64 (pow.f64 alpha 3) (fma.f64 1/36 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 1/6 (*.f64 (/.f64 (+.f64 beta 7) (+.f64 2 beta)) (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (*.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (fma.f64 2 beta 10) (fma.f64 3 beta 6))) -1/36))) (/.f64 -1/6 (/.f64 (+.f64 2 beta) (*.f64 (+.f64 (fma.f64 2 beta 10) (fma.f64 3 beta 6)) (fma.f64 1/6 (*.f64 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (*.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (fma.f64 2 beta 10) (fma.f64 3 beta 6))) -1/36)) (+.f64 2 beta)) (+.f64 (fma.f64 2 beta 10) (fma.f64 3 beta 6))) (*.f64 1/36 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 beta 7))))))))) (*.f64 (*.f64 alpha alpha) (fma.f64 1/6 (*.f64 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (*.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (fma.f64 2 beta 10) (fma.f64 3 beta 6))) -1/36)) (+.f64 2 beta)) (+.f64 (fma.f64 2 beta 10) (fma.f64 3 beta 6))) (*.f64 1/36 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 beta 7)))))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 alpha 3)))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))) (/.f64 (+.f64 1 beta) (/.f64 (pow.f64 alpha 3) (+.f64 beta 7)))))
(+.f64 (+.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (/.f64 beta alpha) alpha)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))) (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 3) (+.f64 beta 7))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 7))) (+.f64 beta 7)) (*.f64 (+.f64 beta 1) (+.f64 6 (*.f64 5 (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 alpha 3)))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 1 beta) (+.f64 6 (+.f64 (*.f64 beta 5) 10)) (*.f64 (+.f64 beta 7) (-.f64 (+.f64 1 beta) (*.f64 (+.f64 1 beta) (+.f64 beta 7))))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (+.f64 1 beta) (/.f64 (pow.f64 alpha 3) (+.f64 beta 7)))))
(+.f64 (+.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (/.f64 beta alpha) alpha)) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))) (/.f64 (fma.f64 (+.f64 1 beta) (+.f64 6 (fma.f64 beta 5 10)) (*.f64 (+.f64 beta 7) (+.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 7) (-.f64 -1 beta))))) (pow.f64 alpha 4)))) (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 3) (+.f64 beta 7))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 7) (+.f64 (*.f64 (+.f64 beta 1) (+.f64 6 (*.f64 5 (+.f64 beta 2)))) (*.f64 (+.f64 beta 7) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 7))))))) (+.f64 (*.f64 6 (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 7))) (+.f64 6 (*.f64 5 (+.f64 beta 2)))))) (pow.f64 alpha 5))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 7))) (+.f64 beta 7)) (*.f64 (+.f64 beta 1) (+.f64 6 (*.f64 5 (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 beta 7) (fma.f64 (+.f64 1 beta) (+.f64 6 (+.f64 (*.f64 beta 5) 10)) (*.f64 (+.f64 beta 7) (-.f64 (+.f64 1 beta) (*.f64 (+.f64 1 beta) (+.f64 beta 7)))))) (fma.f64 6 (*.f64 (+.f64 1 beta) (+.f64 2 beta)) (*.f64 (-.f64 (+.f64 1 beta) (*.f64 (+.f64 1 beta) (+.f64 beta 7))) (+.f64 6 (+.f64 (*.f64 beta 5) 10))))) (pow.f64 alpha 5)) (+.f64 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 1 beta) (+.f64 6 (+.f64 (*.f64 beta 5) 10)) (*.f64 (+.f64 beta 7) (-.f64 (+.f64 1 beta) (*.f64 (+.f64 1 beta) (+.f64 beta 7))))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (+.f64 1 beta) (/.f64 (pow.f64 alpha 3) (+.f64 beta 7))))
(+.f64 (+.f64 (-.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (fma.f64 (+.f64 (neg.f64 beta) -7) (fma.f64 (+.f64 1 beta) (+.f64 6 (fma.f64 beta 5 10)) (*.f64 (+.f64 beta 7) (+.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 7) (-.f64 -1 beta))))) (fma.f64 (+.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 7) (-.f64 -1 beta))) (+.f64 6 (fma.f64 beta 5 10)) (*.f64 (+.f64 6 (*.f64 beta 6)) (+.f64 2 beta)))) (pow.f64 alpha 5))) (+.f64 (/.f64 (/.f64 beta alpha) alpha) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))) (/.f64 (fma.f64 (+.f64 1 beta) (+.f64 6 (fma.f64 beta 5 10)) (*.f64 (+.f64 beta 7) (+.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 7) (-.f64 -1 beta))))) (pow.f64 alpha 4))))) (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 3) (+.f64 beta 7))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 beta) (*.f64 (+.f64 1 beta) (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 2 beta) -2)))))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 beta (*.f64 alpha alpha))))
(-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (/.f64 beta alpha) alpha)) (/.f64 (*.f64 (-.f64 -1 beta) (-.f64 1 (-.f64 3 (+.f64 (fma.f64 beta -1 -2) -2)))) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))))))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 3 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)) (*.f64 -2 (+.f64 beta 2)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))))
(fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 beta) (*.f64 (+.f64 1 beta) (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 2 beta) -2)))))) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 2 beta) -2))) (*.f64 -1 (-.f64 (+.f64 1 beta) (*.f64 (+.f64 1 beta) (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 2 beta) -2))))))) (*.f64 (+.f64 1 beta) (fma.f64 3 (fma.f64 -1 (+.f64 2 beta) -2) (+.f64 (*.f64 beta -2) -4))))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 beta (*.f64 alpha alpha)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (/.f64 beta alpha) alpha)) (/.f64 (-.f64 (*.f64 (fma.f64 3 (+.f64 (fma.f64 beta -1 -2) -2) (fma.f64 beta -2 -4)) (-.f64 -1 beta)) (*.f64 (-.f64 3 (+.f64 (fma.f64 beta -1 -2) -2)) (*.f64 (-.f64 -1 beta) (-.f64 1 (-.f64 3 (+.f64 (fma.f64 beta -1 -2) -2)))))) (pow.f64 alpha 4))) (/.f64 (*.f64 (-.f64 -1 beta) (-.f64 1 (-.f64 3 (+.f64 (fma.f64 beta -1 -2) -2)))) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 3 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)) (*.f64 -2 (+.f64 beta 2))) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))))))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 3 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)) (*.f64 -2 (+.f64 beta 2)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))))))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 3 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)) (*.f64 -2 (+.f64 beta 2))))))) (pow.f64 alpha 5)) (*.f64 -6 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 5)))))))))
(fma.f64 -1 (/.f64 (fma.f64 3 (fma.f64 -1 (+.f64 2 beta) -2) (+.f64 (*.f64 beta -2) -4)) (/.f64 (pow.f64 alpha 5) (*.f64 -1 (-.f64 (+.f64 1 beta) (*.f64 (+.f64 1 beta) (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 2 beta) -2)))))))) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 beta) (*.f64 (+.f64 1 beta) (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 2 beta) -2)))))) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 2 beta) -2))) (*.f64 -1 (-.f64 (+.f64 1 beta) (*.f64 (+.f64 1 beta) (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 2 beta) -2))))))) (*.f64 (+.f64 1 beta) (fma.f64 3 (fma.f64 -1 (+.f64 2 beta) -2) (+.f64 (*.f64 beta -2) -4))))) (pow.f64 alpha 4)) (+.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 2 beta) -2))) (/.f64 (pow.f64 alpha 5) (*.f64 -1 (+.f64 (*.f64 (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 2 beta) -2))) (*.f64 -1 (-.f64 (+.f64 1 beta) (*.f64 (+.f64 1 beta) (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 2 beta) -2))))))) (*.f64 (+.f64 1 beta) (fma.f64 3 (fma.f64 -1 (+.f64 2 beta) -2) (+.f64 (*.f64 beta -2) -4))))))) (*.f64 -6 (/.f64 (+.f64 1 beta) (/.f64 (pow.f64 alpha 5) (+.f64 2 beta))))))))))
(-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (/.f64 beta alpha) alpha)) (fma.f64 -6 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 alpha 5)) (+.f64 2 beta)) (*.f64 (/.f64 (-.f64 3 (+.f64 (fma.f64 beta -1 -2) -2)) (pow.f64 alpha 5)) (-.f64 (*.f64 (fma.f64 3 (+.f64 (fma.f64 beta -1 -2) -2) (fma.f64 beta -2 -4)) (-.f64 -1 beta)) (*.f64 (-.f64 3 (+.f64 (fma.f64 beta -1 -2) -2)) (*.f64 (-.f64 -1 beta) (-.f64 1 (-.f64 3 (+.f64 (fma.f64 beta -1 -2) -2))))))))) (/.f64 (-.f64 (*.f64 (fma.f64 3 (+.f64 (fma.f64 beta -1 -2) -2) (fma.f64 beta -2 -4)) (-.f64 -1 beta)) (*.f64 (-.f64 3 (+.f64 (fma.f64 beta -1 -2) -2)) (*.f64 (-.f64 -1 beta) (-.f64 1 (-.f64 3 (+.f64 (fma.f64 beta -1 -2) -2)))))) (pow.f64 alpha 4))) (/.f64 (*.f64 (-.f64 -1 beta) (-.f64 1 (-.f64 3 (+.f64 (fma.f64 beta -1 -2) -2)))) (pow.f64 alpha 3))) (*.f64 (/.f64 (fma.f64 3 (+.f64 (fma.f64 beta -1 -2) -2) (fma.f64 beta -2 -4)) (pow.f64 alpha 5)) (*.f64 (-.f64 -1 beta) (-.f64 1 (-.f64 3 (+.f64 (fma.f64 beta -1 -2) -2))))))
6
(+.f64 6 (*.f64 5 alpha))
(+.f64 6 (*.f64 alpha 5))
(fma.f64 alpha 5 6)
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(+.f64 6 (*.f64 alpha (+.f64 alpha 5)))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
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(fabs.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 alpha 2) beta))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha 2) (+.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 alpha 2) beta)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha 2) (+.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 alpha 2) beta)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 3))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha 2) (+.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 alpha 2) beta)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (+.f64 alpha 2)) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (+.f64 alpha 2)) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha 2) (+.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 alpha 2) beta)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha 2) (+.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (+.f64 alpha 3)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 alpha 2) beta)))
(exp.f64 (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 2 beta)))) (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))
(exp.f64 (+.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (-.f64 (log1p.f64 beta) (log.f64 (+.f64 (+.f64 alpha 2) beta)))))
(/.f64 (exp.f64 (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 (+.f64 alpha 2) beta))) (log1p.f64 alpha))) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))
(exp.f64 (*.f64 (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 2 beta)))) (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))) 1))
(exp.f64 (+.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (-.f64 (log1p.f64 beta) (log.f64 (+.f64 (+.f64 alpha 2) beta)))))
(/.f64 (exp.f64 (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 (+.f64 alpha 2) beta))) (log1p.f64 alpha))) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))
(+.f64 (*.f64 alpha (+.f64 alpha 2)) (+.f64 (*.f64 alpha 3) 6))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(+.f64 (+.f64 (*.f64 alpha 3) 6) (*.f64 alpha (+.f64 alpha 2)))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(+.f64 (*.f64 (+.f64 (*.f64 alpha 3) 6) 1) (*.f64 (*.f64 alpha (+.f64 alpha 2)) 1))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(+.f64 (*.f64 alpha (+.f64 alpha 3)) (*.f64 2 (+.f64 alpha 3)))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(+.f64 (*.f64 2 (+.f64 alpha 3)) (*.f64 alpha (+.f64 alpha 3)))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(+.f64 (*.f64 (+.f64 alpha 3) alpha) (*.f64 (+.f64 alpha 3) 2))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(+.f64 (*.f64 (+.f64 alpha 3) 2) (*.f64 (+.f64 alpha 3) alpha))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) 1)
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (+.f64 27 (pow.f64 alpha 3))) (*.f64 (+.f64 4 (*.f64 alpha (-.f64 alpha 2))) (+.f64 9 (*.f64 alpha (-.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (/.f64 (fma.f64 alpha (+.f64 alpha -2) 4) (+.f64 (pow.f64 alpha 3) 8))) (fma.f64 alpha (+.f64 alpha -3) 9))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 27 (pow.f64 alpha 3))) (*.f64 (-.f64 2 alpha) (+.f64 9 (*.f64 alpha (-.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (fma.f64 alpha (+.f64 alpha -3) 9)) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 (+.f64 4 (*.f64 alpha (-.f64 alpha 2))) (-.f64 3 alpha)))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 3 alpha)))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 8) (fma.f64 alpha (+.f64 alpha -2) 4)) (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 3 alpha)))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 (-.f64 2 alpha) (-.f64 3 alpha)))
(*.f64 (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 3 alpha)) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(/.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 (+.f64 9 (*.f64 alpha (-.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (/.f64 (fma.f64 alpha (+.f64 alpha -2) 4) (+.f64 (pow.f64 alpha 3) 8))) (fma.f64 alpha (+.f64 alpha -3) 9))
(/.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 (-.f64 3 alpha) (+.f64 4 (*.f64 alpha (-.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 3 alpha)))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 8) (fma.f64 alpha (+.f64 alpha -2) 4)) (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 3 alpha)))
(/.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (+.f64 9 (*.f64 alpha (-.f64 alpha 3))) (-.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (fma.f64 alpha (+.f64 alpha -3) 9)) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(/.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (-.f64 3 alpha) (-.f64 2 alpha)))
(*.f64 (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 3 alpha)) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 alpha 3) 6) 3) (pow.f64 (*.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (*.f64 (+.f64 (*.f64 alpha 3) 6) (+.f64 (*.f64 alpha 3) 6)) (-.f64 (*.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 alpha (+.f64 alpha 2))) (*.f64 (+.f64 (*.f64 alpha 3) 6) (*.f64 alpha (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 alpha 3 6) 3) (pow.f64 (*.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (fma.f64 alpha 3 6) (fma.f64 alpha 3 6) (*.f64 (*.f64 alpha (+.f64 alpha 2)) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (fma.f64 alpha 3 6)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 alpha 3 6) 3) (pow.f64 (*.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (*.f64 alpha (+.f64 alpha 2)) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (fma.f64 alpha 3 6)) (*.f64 (fma.f64 alpha 3 6) (fma.f64 alpha 3 6))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 alpha 3) 6) (+.f64 (*.f64 alpha 3) 6)) (*.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 alpha (+.f64 alpha 2)))) (-.f64 (+.f64 (*.f64 alpha 3) 6) (*.f64 alpha (+.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 (fma.f64 alpha 3 6) (fma.f64 alpha 3 6)) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (/.f64 (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 alpha 2))) (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (+.f64 alpha 3)) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 alpha 3) (+.f64 (pow.f64 alpha 3) 8)) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))
(/.f64 (+.f64 (pow.f64 alpha 3) 8) (/.f64 (fma.f64 alpha (+.f64 alpha -2) 4) (+.f64 alpha 3)))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 alpha 3)) (-.f64 2 alpha))
(/.f64 (+.f64 alpha 3) (/.f64 (-.f64 2 alpha) (-.f64 4 (*.f64 alpha alpha))))
(*.f64 (/.f64 (+.f64 alpha 3) (-.f64 2 alpha)) (-.f64 4 (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (+.f64 alpha 2)) (+.f64 9 (*.f64 alpha (-.f64 alpha 3))))
(/.f64 (+.f64 alpha 2) (/.f64 (+.f64 9 (*.f64 alpha (+.f64 alpha -3))) (+.f64 (pow.f64 alpha 3) 27)))
(/.f64 (+.f64 alpha 2) (/.f64 (fma.f64 alpha (+.f64 alpha -3) 9) (+.f64 (pow.f64 alpha 3) 27)))
(/.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2)) (-.f64 3 alpha))
(/.f64 (+.f64 alpha 2) (/.f64 (-.f64 3 alpha) (-.f64 9 (*.f64 alpha alpha))))
(*.f64 (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 3 alpha)) (+.f64 alpha 2))
(/.f64 (*.f64 (+.f64 alpha 2) (+.f64 27 (pow.f64 alpha 3))) (+.f64 9 (*.f64 alpha (-.f64 alpha 3))))
(/.f64 (+.f64 alpha 2) (/.f64 (+.f64 9 (*.f64 alpha (+.f64 alpha -3))) (+.f64 (pow.f64 alpha 3) 27)))
(/.f64 (+.f64 alpha 2) (/.f64 (fma.f64 alpha (+.f64 alpha -3) 9) (+.f64 (pow.f64 alpha 3) 27)))
(/.f64 (*.f64 (+.f64 alpha 2) (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha))
(/.f64 (+.f64 alpha 2) (/.f64 (-.f64 3 alpha) (-.f64 9 (*.f64 alpha alpha))))
(*.f64 (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 3 alpha)) (+.f64 alpha 2))
(/.f64 (*.f64 (+.f64 alpha 3) (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 alpha 3) (+.f64 (pow.f64 alpha 3) 8)) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))
(/.f64 (+.f64 (pow.f64 alpha 3) 8) (/.f64 (fma.f64 alpha (+.f64 alpha -2) 4) (+.f64 alpha 3)))
(/.f64 (*.f64 (+.f64 alpha 3) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))
(/.f64 (+.f64 alpha 3) (/.f64 (-.f64 2 alpha) (-.f64 4 (*.f64 alpha alpha))))
(*.f64 (/.f64 (+.f64 alpha 3) (-.f64 2 alpha)) (-.f64 4 (*.f64 alpha alpha)))
(pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 1)
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 3) 1/3)
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 3)
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 2)
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 2))
(fabs.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha 2)) (+.f64 alpha 3)))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 3))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 3) 3)))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 (+.f64 alpha 2) 3)))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 1))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(fma.f64 (+.f64 alpha 2) 3 (*.f64 alpha (+.f64 alpha 2)))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(fma.f64 3 (+.f64 alpha 2) (*.f64 alpha (+.f64 alpha 2)))
(fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))

eval1.4s (8.7%)

Compiler

Compiled 59698 to 43036 computations (27.9% saved)

prune366.0ms (2.2%)

Pruning

37 alts after pruning (30 fresh and 7 done)

PrunedKeptTotal
New1220101230
Fresh82028
Picked101
Done178
Total1230371267
Error
0b
Counts
1267 → 37
Alt Table
Click to see full alt table
StatusErrorProgram
31.0b
(pow.f64 beta -2)
1.3b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))))) 3) (+.f64 alpha (+.f64 2 beta)))
23.7b
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
27.8b
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -3 (+.f64 beta alpha)))
3.5b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
4.3b
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 2 beta)))
31.7b
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 alpha (+.f64 2 beta)))
28.3b
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
0.1b
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
28.1b
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
42.0b
(/.f64 (/.f64 alpha beta) beta)
26.4b
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
28.3b
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
31.0b
(/.f64 (/.f64 1 beta) beta)
34.2b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2)))
29.8b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.1b
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))) (+.f64 alpha (+.f64 2 beta)))
23.7b
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta alpha)))
8.3b
(/.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))))
9.3b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
36.3b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
45.5b
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
43.3b
(/.f64 alpha (*.f64 beta beta))
26.7b
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
31.3b
(/.f64 1 (*.f64 beta beta))
61.7b
(/.f64 1 (*.f64 alpha alpha))
62.4b
(/.f64 1 alpha)
56.6b
(/.f64 -1 (-.f64 -3 (+.f64 beta alpha)))
4.3b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
35.1b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 1/6 (*.f64 1/36 alpha)))
35.5b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6)
42.0b
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
33.8b
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
31.1b
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
25.2b
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta)))))
50.7b
(*.f64 1 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 (+.f64 beta 2) alpha)) (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 alpha (-.f64 3 beta)))) (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 alpha (-.f64 3 beta))))))
35.6b
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
Compiler

Compiled 598 to 432 computations (27.8% saved)

regimes153.0ms (0.9%)

Counts
71 → 1
Calls
Call 1
Inputs
(/.f64 1 alpha)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 1 alpha) (/.f64 1 alpha))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 -1 (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6)
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 1/6 (*.f64 1/36 alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 2 beta)))
(*.f64 1 (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 alpha)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.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 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.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 (+.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 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 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 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))) (+.f64 alpha (+.f64 2 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 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))))
(/.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))
(*.f64 1 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 (+.f64 beta 2) alpha)) (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 alpha (-.f64 3 beta)))) (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 alpha (-.f64 3 beta))))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 3 (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta (+.f64 alpha -3)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta (+.f64 alpha -3))))))
(pow.f64 beta -2)
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (pow.f64 beta 3))
(/.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 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))) 3) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))))) 3) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))) (+.f64 1 beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
Outputs
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
Calls

3 calls:

65.0ms
alpha
37.0ms
beta
19.0ms
(/.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 1265 to 826 computations (34.7% saved)

regimes130.0ms (0.8%)

Counts
54 → 2
Calls
Call 1
Inputs
(/.f64 1 alpha)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 1 alpha) (/.f64 1 alpha))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 -1 (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6)
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 1/6 (*.f64 1/36 alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 2 beta)))
(*.f64 1 (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 alpha)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.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 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.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 (+.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 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
Calls

2 calls:

59.0ms
beta
53.0ms
alpha
Results
ErrorSegmentsBranch
0.5b2alpha
0.2b2beta
Compiler

Compiled 732 to 476 computations (35% saved)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
7.473414205762755e+90
4.979724673112919e+91
Results
14.0ms96×body256valid
Compiler

Compiled 366 to 262 computations (28.4% saved)

regimes124.0ms (0.8%)

Counts
53 → 2
Calls
Call 1
Inputs
(/.f64 1 alpha)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 1 alpha) (/.f64 1 alpha))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 -1 (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6)
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 1/6 (*.f64 1/36 alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 2 beta)))
(*.f64 1 (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 alpha)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.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 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.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 (+.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 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
Calls

2 calls:

56.0ms
beta
50.0ms
alpha
Results
ErrorSegmentsBranch
0.5b2alpha
0.2b2beta
Compiler

Compiled 707 to 460 computations (34.9% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
7.473414205762755e+90
4.979724673112919e+91
Results
18.0ms96×body256valid
Compiler

Compiled 366 to 262 computations (28.4% saved)

regimes126.0ms (0.8%)

Counts
52 → 2
Calls
Call 1
Inputs
(/.f64 1 alpha)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 1 alpha) (/.f64 1 alpha))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 -1 (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6)
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 1/6 (*.f64 1/36 alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 2 beta)))
(*.f64 1 (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 alpha)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.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 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha 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) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
Calls

2 calls:

55.0ms
alpha
51.0ms
beta
Results
ErrorSegmentsBranch
0.9b2alpha
0.3b2beta
Compiler

Compiled 682 to 443 computations (35% saved)

bsearch3.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
2.0ms
3211167779817.7046
217656834140554.44
Results
2.0ms16×body256valid
Compiler

Compiled 94 to 64 computations (31.9% saved)

regimes141.0ms (0.9%)

Counts
51 → 2
Calls
Call 1
Inputs
(/.f64 1 alpha)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 1 alpha) (/.f64 1 alpha))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 -1 (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6)
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 1/6 (*.f64 1/36 alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 2 beta)))
(*.f64 1 (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 alpha)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.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 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
Outputs
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
Calls

2 calls:

76.0ms
alpha
46.0ms
beta
Results
ErrorSegmentsBranch
1.7b2alpha
0.8b2beta
Compiler

Compiled 659 to 430 computations (34.7% saved)

bsearch24.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
2.4875335196081697e-6
3.9622153817385275
Results
21.0ms144×body256valid
Compiler

Compiled 456 to 334 computations (26.8% saved)

regimes154.0ms (0.9%)

Counts
50 → 2
Calls
Call 1
Inputs
(/.f64 1 alpha)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 1 alpha) (/.f64 1 alpha))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 -1 (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6)
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 1/6 (*.f64 1/36 alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 2 beta)))
(*.f64 1 (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 alpha)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.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 beta 1) alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
Outputs
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
Calls

2 calls:

75.0ms
alpha
47.0ms
beta
Results
ErrorSegmentsBranch
1.8b2alpha
1.2b2beta
Compiler

Compiled 636 to 414 computations (34.9% saved)

bsearch23.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
2.4875335196081697e-6
3.9622153817385275
Results
21.0ms144×body256valid
Compiler

Compiled 384 to 271 computations (29.4% saved)

regimes180.0ms (1.1%)

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

2 calls:

109.0ms
alpha
61.0ms
beta
Results
ErrorSegmentsBranch
15.9b4alpha
1.2b2beta
Compiler

Compiled 421 to 271 computations (35.6% saved)

bsearch25.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
2.4875335196081697e-6
3.9622153817385275
Results
23.0ms144×body256valid
Compiler

Compiled 384 to 271 computations (29.4% saved)

regimes254.0ms (1.5%)

Counts
38 → 2
Calls
Call 1
Inputs
(/.f64 1 alpha)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 1 alpha) (/.f64 1 alpha))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 -1 (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6)
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 1/6 (*.f64 1/36 alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta alpha)))
Outputs
(*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
Calls

2 calls:

163.0ms
alpha
81.0ms
beta
Results
ErrorSegmentsBranch
16.1b4alpha
1.2b2beta
Compiler

Compiled 404 to 259 computations (35.9% saved)

bsearch28.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
2.4875335196081697e-6
3.9622153817385275
Results
26.0ms144×body256valid
Compiler

Compiled 384 to 280 computations (27.1% saved)

regimes185.0ms (1.1%)

Counts
33 → 2
Calls
Call 1
Inputs
(/.f64 1 alpha)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 1 alpha) (/.f64 1 alpha))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 -1 (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6)
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 1/6 (*.f64 1/36 alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -3 (+.f64 alpha beta)))))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
Calls

2 calls:

118.0ms
alpha
58.0ms
beta
Results
ErrorSegmentsBranch
16.4b4alpha
1.5b2beta
Compiler

Compiled 319 to 203 computations (36.4% saved)

bsearch24.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
2.4875335196081697e-6
3.9622153817385275
Results
21.0ms144×body256valid
Compiler

Compiled 348 to 253 computations (27.3% saved)

regimes165.0ms (1%)

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

2 calls:

93.0ms
alpha
63.0ms
beta
Results
ErrorSegmentsBranch
17.4b4alpha
1.5b2beta
Compiler

Compiled 253 to 160 computations (36.8% saved)

bsearch25.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
2.4875335196081697e-6
3.9622153817385275
Results
23.0ms144×body256valid
Compiler

Compiled 312 to 235 computations (24.7% saved)

regimes103.0ms (0.6%)

Counts
27 → 2
Calls
Call 1
Inputs
(/.f64 1 alpha)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 1 alpha) (/.f64 1 alpha))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 -1 (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6)
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -3 (+.f64 beta alpha)))
Outputs
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
Calls

2 calls:

67.0ms
alpha
30.0ms
beta
Results
ErrorSegmentsBranch
17.9b4alpha
2.0b2beta
Compiler

Compiled 225 to 139 computations (38.2% saved)

bsearch23.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
2.4875335196081697e-6
3.9622153817385275
Results
21.0ms144×body256valid
Compiler

Compiled 294 to 217 computations (26.2% saved)

regimes103.0ms (0.6%)

Counts
22 → 2
Calls
Call 1
Inputs
(/.f64 1 alpha)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 1 alpha) (/.f64 1 alpha))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 -1 (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6)
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
Outputs
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6)
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Calls

2 calls:

74.0ms
alpha
24.0ms
beta
Results
ErrorSegmentsBranch
17.0b5alpha
2.1b2beta
Compiler

Compiled 170 to 106 computations (37.6% saved)

bsearch26.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
2.4875335196081697e-6
3.9622153817385275
Results
24.0ms144×body256valid
Compiler

Compiled 258 to 190 computations (26.4% saved)

regimes91.0ms (0.6%)

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

2 calls:

64.0ms
alpha
23.0ms
beta
Results
ErrorSegmentsBranch
17.0b5alpha
2.1b2beta
Compiler

Compiled 137 to 84 computations (38.7% saved)

bsearch23.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
2.4875335196081697e-6
3.9622153817385275
Results
21.0ms144×body256valid
Compiler

Compiled 240 to 181 computations (24.6% saved)

regimes30.0ms (0.2%)

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

2 calls:

17.0ms
beta
8.0ms
alpha
Results
ErrorSegmentsBranch
28.3b1alpha
24.2b2beta
Compiler

Compiled 92 to 51 computations (44.6% saved)

bsearch23.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
2.4875335196081697e-6
3.9622153817385275
Results
21.0ms144×body256valid
Compiler

Compiled 222 to 163 computations (26.6% saved)

regimes84.0ms (0.5%)

Counts
13 → 3
Calls
Call 1
Inputs
(/.f64 1 alpha)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 1 alpha) (/.f64 1 alpha))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 -1 (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
Outputs
(/.f64 -1 (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
Calls

2 calls:

57.0ms
alpha
24.0ms
beta
Results
ErrorSegmentsBranch
28.6b2alpha
24.5b3beta
Compiler

Compiled 85 to 47 computations (44.7% saved)

bsearch71.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
46.0ms
1.5472793884627634e+150
4.2278121636154305e+154
24.0ms
2.4875335196081697e-6
3.9622153817385275
Results
67.0ms272×body256valid
Compiler

Compiled 382 to 275 computations (28% saved)

regimes36.0ms (0.2%)

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

2 calls:

18.0ms
beta
14.0ms
alpha
Results
ErrorSegmentsBranch
28.8b2alpha
25.7b3beta
Compiler

Compiled 64 to 38 computations (40.6% saved)

bsearch35.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
7.0ms
1.431727869244527e+161
4.702228915860107e+173
28.0ms
2.4875335196081697e-6
3.9622153817385275
Results
32.0ms192×body256valid
Compiler

Compiled 258 to 193 computations (25.2% saved)

regimes37.0ms (0.2%)

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

2 calls:

18.0ms
alpha
16.0ms
beta
Results
ErrorSegmentsBranch
28.8b2alpha
29.8b2beta
Compiler

Compiled 57 to 33 computations (42.1% saved)

bsearch33.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
32.0ms
0.006322101943080884
10438189782.115463
Results
31.0ms160×body256valid
Compiler

Compiled 202 to 138 computations (31.7% saved)

regimes11.0ms (0.1%)

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

2 calls:

6.0ms
alpha
4.0ms
beta
Results
ErrorSegmentsBranch
31.0b1alpha
31.0b1beta
Compiler

Compiled 31 to 18 computations (41.9% saved)

regimes10.0ms (0.1%)

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

2 calls:

4.0ms
alpha
4.0ms
beta
Results
ErrorSegmentsBranch
31.3b1alpha
31.3b1beta
Compiler

Compiled 26 to 15 computations (42.3% saved)

regimes7.0ms (0%)

Accuracy

Total -1.4b remaining (-2.3%)

Threshold costs -1.4b (-2.3%)

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

2 calls:

3.0ms
beta
3.0ms
alpha
Results
ErrorSegmentsBranch
61.7b1alpha
61.7b1beta
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify38.0ms (0.2%)

Algorithm
egg-herbie
Rules
26×+-commutative_binary64
23×*-commutative_binary64
10×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132828
1177828
2191828
3205828
4214828
5220828
6224828
7227828
8228828
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(if (<=.f64 beta 45999999999999998232112760619706208105296480165432203111147092676143042110553850846124179456) (/.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 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 49000000000000002993928221036211583268006760487804335177321800669773954127526254495473336320) (*.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 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 5000000000000) (/.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) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 3715469692580659/1125899906842624) (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha))))
(if (<=.f64 beta 3602879701896397/1125899906842624) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2)))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha))))
(if (<=.f64 beta 6980579422424269/2251799813685248) (*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha))))
(if (<=.f64 beta 3039929748475085/1125899906842624) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha))))
(if (<=.f64 beta 3039929748475085/1125899906842624) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 8376695306909123/4503599627370496) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 3) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 6530219459687219/2251799813685248) (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 3039929748475085/1125899906842624) (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 2589569785738035/1125899906842624) (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (if (<=.f64 beta 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 2589569785738035/1125899906842624) (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (if (<=.f64 beta 200000000000000007549178649645629774132327302564057953866173176240352537275077542100950227839308580956939055530727458023528864595784116398019642331585336240504832) (/.f64 (/.f64 1 beta) beta) (*.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 alpha 1) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 alpha)
Outputs
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))
(if (<=.f64 beta 45999999999999998232112760619706208105296480165432203111147092676143042110553850846124179456) (/.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 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 45999999999999998232112760619706208105296480165432203111147092676143042110553850846124179456) (/.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 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(if (<=.f64 beta 45999999999999998232112760619706208105296480165432203111147092676143042110553850846124179456) (/.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 (+.f64 1 alpha) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(if (<=.f64 beta 49000000000000002993928221036211583268006760487804335177321800669773954127526254495473336320) (*.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 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 49000000000000002993928221036211583268006760487804335177321800669773954127526254495473336320) (*.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 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(if (<=.f64 beta 49000000000000002993928221036211583268006760487804335177321800669773954127526254495473336320) (*.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 (+.f64 1 alpha) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(if (<=.f64 beta 5000000000000) (/.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) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 5000000000000) (/.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 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(if (<=.f64 beta 5000000000000) (/.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 (+.f64 1 alpha) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(if (<=.f64 beta 3715469692580659/1125899906842624) (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 3715469692580659/1125899906842624) (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(if (<=.f64 beta 3715469692580659/1125899906842624) (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha))))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 alpha beta))) (-.f64 -3 (+.f64 alpha beta))))
(if (<=.f64 beta 3602879701896397/1125899906842624) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2)))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha))))
(if (<=.f64 beta 3602879701896397/1125899906842624) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 alpha beta))) (-.f64 -3 (+.f64 alpha beta))))
(if (<=.f64 beta 6980579422424269/2251799813685248) (*.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha))))
(if (<=.f64 beta 6980579422424269/2251799813685248) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 1 (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 alpha beta))) (-.f64 -3 (+.f64 alpha beta))))
(if (<=.f64 beta 3039929748475085/1125899906842624) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha))))
(if (<=.f64 beta 3039929748475085/1125899906842624) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 6 (*.f64 alpha 5)))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 alpha beta))) (-.f64 -3 (+.f64 alpha beta))))
(if (<=.f64 beta 3039929748475085/1125899906842624) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 alpha 5)) (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 3039929748475085/1125899906842624) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 6 (*.f64 alpha 5)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 3 (+.f64 alpha beta))))
(if (<=.f64 beta 8376695306909123/4503599627370496) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 8376695306909123/4503599627370496) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 1/6) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 3 (+.f64 alpha beta))))
(if (<=.f64 beta 3) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 2 beta))) 1/6) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 3) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 1/6) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 6530219459687219/2251799813685248) (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 6530219459687219/2251799813685248) (*.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 3039929748475085/1125899906842624) (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 3039929748475085/1125899906842624) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 2589569785738035/1125899906842624) (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (if (<=.f64 beta 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 2589569785738035/1125899906842624) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (if (<=.f64 beta 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 2589569785738035/1125899906842624) (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (if (<=.f64 beta 200000000000000007549178649645629774132327302564057953866173176240352537275077542100950227839308580956939055530727458023528864595784116398019642331585336240504832) (/.f64 (/.f64 1 beta) beta) (*.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 2589569785738035/1125899906842624) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (if (<=.f64 beta 200000000000000007549178649645629774132327302564057953866173176240352537275077542100950227839308580956939055530727458023528864595784116398019642331585336240504832) (/.f64 (/.f64 1 beta) beta) (*.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 alpha 1) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 alpha)
Compiler

Compiled 607 to 425 computations (30% saved)

soundness196.0ms (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)

end237.0ms (1.4%)

Remove

(sort alpha beta)

Compiler

Compiled 621 to 410 computations (34% saved)

Profiling

Loading profile data...