Details

Time bar (total: 20.0s)

analyze60.0ms (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)

sample1.6s (7.8%)

Results
1.6s8256×body256valid
Bogosity

preprocess92.0ms (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)

simplify133.0ms (0.7%)

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

Useful iterations: 3 (0.0ms)

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

eval2.0ms (0%)

Compiler

Compiled 166 to 100 computations (39.8% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New336
Fresh011
Picked000
Done000
Total347
Error
4.0b
Counts
7 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
4.1b
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
4.8b
(/.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))
8.9b
(/.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)

localize36.0ms (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)))
8.8b
(/.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)

series30.0ms (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
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))))
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
@-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
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))))

rewrite118.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

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

simplify146.0ms (0.7%)

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 (+.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))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1))
0.0b
(*.f64 (+.f64 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))
18.6b
(/.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)

series26.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite108.0ms (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
01676
139876
2660276
Stop Event
node limit
Counts
4 → 159
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) (+.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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((#(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) 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1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 alpha (+.f64 beta (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 alpha beta) (fma.f64 alpha beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 alpha beta 1) (+.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))))))

simplify148.0ms (0.7%)

Algorithm
egg-herbie
Rules
678×fma-def_binary64
526×associate-/l*_binary64
408×times-frac_binary64
321×associate-/r*_binary64
226×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091811916
1317311320
Stop Event
node limit
Counts
255 → 432
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 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 (/.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 (/.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 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta)))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 2))))
(-.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 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 3)))))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 2))))
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(pow.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)
(pow.f64 (pow.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)))) 3) 1/3)
(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))))) 3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 2)
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))) -1)
(neg.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (+.f64 -3 (neg.f64 (+.f64 alpha beta)))))
(sqrt.f64 (pow.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))
(log.f64 (exp.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))))))
(log.f64 (+.f64 1 (expm1.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)))))))
(cbrt.f64 (pow.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)))) 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 beta (+.f64 alpha 3)) 3)))
(expm1.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))))))
(log1p.f64 (expm1.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))))))
(exp.f64 (log.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))))))
(exp.f64 (*.f64 (log.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))
(+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))))
(+.f64 (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) 1))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) (*.f64 2 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (-.f64 (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))))) (-.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 alpha (+.f64 beta 2))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (+.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))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) 3) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 3)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(exp.f64 (log.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1))
(fma.f64 alpha (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))))
(fma.f64 (+.f64 alpha (+.f64 beta 2)) alpha (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (/.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(*.f64 1 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 1)
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta))))))
(*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2)) (/.f64 1 (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))) (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3))))
(/.f64 1 (/.f64 (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2)) (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2))) (neg.f64 (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))) (*.f64 (-.f64 alpha beta) (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 alpha beta -1)) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (fma.f64 alpha beta -1)))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (fma.f64 alpha beta -1)) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1))) (*.f64 (-.f64 alpha beta) (fma.f64 alpha beta -1)))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (-.f64 alpha beta)) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (-.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (-.f64 alpha beta)) (*.f64 (fma.f64 alpha beta -1) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) (*.f64 (fma.f64 alpha beta -1) (-.f64 alpha beta)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3)) (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta))) 3) 1) (+.f64 (*.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta))) (+.f64 alpha (+.f64 beta (*.f64 alpha beta)))) (-.f64 1 (*.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta))) 1))))
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1)))) (-.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (pow.f64 (+.f64 alpha beta) 2)) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))
(/.f64 (fma.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta))) (+.f64 alpha (+.f64 beta (*.f64 alpha beta))) -1) (-.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta))) 1))
(pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 1)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 3)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))))
(exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta)))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta)))) 1))
(fma.f64 1 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 1 (+.f64 alpha beta) (fma.f64 alpha beta 1))
(fma.f64 1 (fma.f64 alpha beta 1) (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))
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 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) (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 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) (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 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (fma.f64 beta 2 4))))) (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))))
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(/.f64 (fma.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))))) (*.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (fma.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 alpha beta -1) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (fma.f64 alpha beta -1)))
(/.f64 (fma.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 beta alpha -1))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (fma.f64 beta alpha -1)))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (-.f64 alpha beta)) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (-.f64 alpha beta)))
(/.f64 (fma.f64 (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)) (-.f64 alpha beta) (*.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) (*.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (-.f64 alpha beta)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (*.f64 (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)) (-.f64 alpha beta))) (*.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (-.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (-.f64 alpha beta)) (*.f64 (fma.f64 alpha beta -1) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) (*.f64 (fma.f64 alpha beta -1) (-.f64 alpha beta)))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)) (-.f64 alpha beta) (*.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (fma.f64 alpha beta -1))) (*.f64 (-.f64 alpha beta) (fma.f64 alpha beta -1)))
(/.f64 (fma.f64 (-.f64 alpha beta) (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)) (*.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (fma.f64 beta alpha -1))) (*.f64 (-.f64 alpha beta) (fma.f64 beta alpha -1)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3)) (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (-.f64 (+.f64 beta (fma.f64 alpha beta 1)) alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 beta alpha 1)) 3)) (fma.f64 (+.f64 beta (fma.f64 beta alpha 1)) (-.f64 (+.f64 beta (fma.f64 beta alpha 1)) alpha) (*.f64 alpha alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta))) 3) 1) (+.f64 (*.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta))) (+.f64 alpha (+.f64 beta (*.f64 alpha beta)))) (-.f64 1 (*.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta))) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (+.f64 1 alpha) beta alpha) 3)) (fma.f64 (fma.f64 (+.f64 1 alpha) beta alpha) (fma.f64 (+.f64 1 alpha) beta alpha) (-.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 alpha (fma.f64 beta alpha beta)) 3)) (-.f64 (fma.f64 (+.f64 alpha (fma.f64 beta alpha beta)) (+.f64 alpha (fma.f64 beta alpha beta)) 1) (+.f64 alpha (fma.f64 beta alpha beta))))
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1)))) (-.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1))) (/.f64 (-.f64 alpha (+.f64 beta (fma.f64 beta alpha 1))) (-.f64 alpha (+.f64 beta (fma.f64 beta alpha 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (pow.f64 (+.f64 alpha beta) 2)) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))
(/.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (pow.f64 (+.f64 beta alpha) 2)) (-.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))
(/.f64 (-.f64 (pow.f64 (fma.f64 beta alpha 1) 2) (pow.f64 (+.f64 beta alpha) 2)) (-.f64 (fma.f64 beta alpha 1) (+.f64 beta alpha)))
(/.f64 (fma.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta))) (+.f64 alpha (+.f64 beta (*.f64 alpha beta))) -1) (-.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta))) 1))
(/.f64 (fma.f64 (fma.f64 (+.f64 1 alpha) beta alpha) (fma.f64 (+.f64 1 alpha) beta alpha) -1) (+.f64 (fma.f64 (+.f64 1 alpha) beta alpha) -1))
(/.f64 (fma.f64 (+.f64 alpha (fma.f64 beta alpha beta)) (+.f64 alpha (fma.f64 beta alpha beta)) -1) (+.f64 (+.f64 alpha (fma.f64 beta alpha beta)) -1))
(pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 1)
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1)))
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 3) 1/3)
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1)))
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 3)
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1)))
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2)
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1)))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2))
(fabs.f64 (+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1))))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1)))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 3))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1)))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1)))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1)))
(exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta)))))
(exp.f64 (log1p.f64 (fma.f64 (+.f64 1 alpha) beta alpha)))
(exp.f64 (log1p.f64 (+.f64 alpha (fma.f64 beta alpha beta))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta)))) 1))
(exp.f64 (log1p.f64 (fma.f64 (+.f64 1 alpha) beta alpha)))
(exp.f64 (log1p.f64 (+.f64 alpha (fma.f64 beta alpha beta))))
(fma.f64 1 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1)))
(fma.f64 1 (+.f64 alpha beta) (fma.f64 alpha beta 1))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1)))
(fma.f64 1 (fma.f64 alpha beta 1) (+.f64 alpha beta))
(fma.f64 1 (fma.f64 alpha beta 1) (+.f64 beta alpha))
(+.f64 (fma.f64 beta alpha 1) (+.f64 beta alpha))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))
(fma.f64 1 (fma.f64 alpha beta 1) (+.f64 beta alpha))
(+.f64 (fma.f64 beta alpha 1) (+.f64 beta alpha))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1)))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1)))
(fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))
(fma.f64 1 (fma.f64 alpha beta 1) (+.f64 beta alpha))
(+.f64 (fma.f64 beta alpha 1) (+.f64 beta alpha))
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1)))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)
0.1b
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
0.1b
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
3.8b
(/.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)

series19.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
4.0ms
alpha
@0
(/.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)))
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))

rewrite105.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
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 (+.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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (*.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) 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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 (+.f64 beta 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 3)))))

simplify258.0ms (1.3%)

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 → 460
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))))
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(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
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(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.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))
(-.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 (/.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 (/.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 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta)))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 2))))
(-.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 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 3)))))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 2))))
(-.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 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 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 1)
(*.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 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (*.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
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(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))
(-.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)
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 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 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)) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 alpha alpha) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 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)) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 alpha alpha) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(+.f64 beta (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(-.f64 (+.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) (fma.f64 -1 (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha))))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2))))
(+.f64 beta (-.f64 (+.f64 (+.f64 1 (/.f64 beta alpha)) (-.f64 (/.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) alpha) (/.f64 (+.f64 beta 2) alpha)))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(+.f64 beta (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha)) (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(+.f64 beta (-.f64 (+.f64 (+.f64 1 (/.f64 beta alpha)) (+.f64 (-.f64 (/.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) alpha) (/.f64 (+.f64 beta 2) alpha))) (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(*.f64 -1 (-.f64 (*.f64 -1 beta) 1))
(+.f64 beta 1)
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)))
(fma.f64 -1 (fma.f64 -1 beta -1) (neg.f64 (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) alpha)))
(-.f64 (+.f64 beta 1) (/.f64 (+.f64 (fma.f64 beta -1 -1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) alpha))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(fma.f64 -1 (fma.f64 -1 beta -1) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) alpha) (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)))))
(+.f64 (+.f64 beta 1) (-.f64 (/.f64 (+.f64 (fma.f64 beta -1 -1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 (+.f64 (fma.f64 beta -1 -1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 -1 (fma.f64 -1 beta -1) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) alpha) (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))))))
(-.f64 (+.f64 (+.f64 beta 1) (-.f64 (/.f64 (+.f64 (fma.f64 beta -1 -1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 (+.f64 (fma.f64 beta -1 -1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) alpha))) (/.f64 (+.f64 (fma.f64 beta -1 -1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (+.f64 1 alpha) (/.f64 alpha beta))) (/.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (/.f64 (-.f64 -1 alpha) (/.f64 beta (+.f64 2 alpha)))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(+.f64 (/.f64 1 beta) (-.f64 (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (neg.f64 (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))))))))) (/.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 2 alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 (/.f64 alpha beta) 1) (-.f64 alpha (*.f64 (/.f64 (+.f64 1 (+.f64 alpha (*.f64 (+.f64 2 alpha) (-.f64 -1 alpha)))) beta) (/.f64 (+.f64 2 alpha) beta)))) (/.f64 (-.f64 -1 alpha) (/.f64 beta (+.f64 2 alpha)))))
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(+.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 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))) 1)
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(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.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 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (-.f64 beta 2)))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.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))) (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) 3)
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) -1)
(/.f64 1 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))))
(neg.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
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(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha)) 2))
(fabs.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha)))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))))
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(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (+.f64 beta 2) alpha))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
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(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))))
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(exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 beta alpha))) (log.f64 (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (exp.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 beta alpha)))) (+.f64 (+.f64 beta 2) alpha))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 beta alpha))) (log.f64 (+.f64 (+.f64 beta 2) alpha))))
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(-.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)
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(/.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))
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 3)))) 1)
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(-.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 (+.f64 alpha beta) 1)) (/.f64 1 (+.f64 (+.f64 alpha beta) 1)))
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 1 (+.f64 beta alpha))) (/.f64 1 (+.f64 1 (+.f64 beta alpha))))
(+.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 1 (+.f64 beta alpha))) (/.f64 -1 (+.f64 1 (+.f64 beta alpha))))
(*.f64 1 (+.f64 alpha (+.f64 beta 3)))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(*.f64 (+.f64 alpha (+.f64 beta 3)) 1)
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 3)) 2)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 3)) 2)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3))))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))
(+.f64 beta (+.f64 alpha 3))
(+.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 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (-.f64 1 (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3)) (+.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 1 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (+.f64 alpha beta) 1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 beta alpha)) (+.f64 -1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 (+.f64 beta alpha)))
(/.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 (+.f64 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (-.f64 1 (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3)) (+.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 1 (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 1 (/.f64 (+.f64 (+.f64 alpha beta) 1) (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 beta alpha)) (+.f64 -1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 (+.f64 beta alpha)))
(/.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 (+.f64 beta 2) alpha) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (-.f64 1 (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3)) (+.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 1 (-.f64 -2 (+.f64 beta alpha)))))
(/.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 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) -1) (+.f64 (+.f64 alpha beta) 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 beta alpha)) (+.f64 -1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 (+.f64 beta alpha)))
(/.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 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (-.f64 1 (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3)) (neg.f64 (+.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 1 (-.f64 -2 (+.f64 beta alpha))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (+.f64 alpha beta) 1)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) (+.f64 (neg.f64 (+.f64 beta alpha)) -1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (fma.f64 -1 (+.f64 beta alpha) -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 (pow.f64 (+.f64 beta alpha) 3) 27) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 3 (+.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 27) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 9 (*.f64 (+.f64 beta alpha) -3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (-.f64 1 (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 1 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (-.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 alpha (-.f64 beta 3)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 alpha (+.f64 beta -3)))
(pow.f64 (+.f64 alpha (+.f64 beta 3)) 1)
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) 1/3)
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 3)
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 3)) 2))
(fabs.f64 (+.f64 alpha (+.f64 beta 3)))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta 3))))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta 3)))))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 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 beta (+.f64 alpha 3))) (sqrt.f64 (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 beta (+.f64 alpha 3)))))
(hypot.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.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 beta (+.f64 alpha 3))) (*.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(hypot.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (*.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(hypot.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))
(hypot.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(hypot.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.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))))
(hypot.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(hypot.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 3))))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta 3))))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(exp.f64 (log.f64 (+.f64 alpha (+.f64 beta 3))))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 3))) 1))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(fma.f64 1 (+.f64 alpha beta) 3)
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(fma.f64 1 (+.f64 alpha (+.f64 beta 2)) 1)
(fma.f64 1 (+.f64 (+.f64 beta 2) alpha) 1)
(+.f64 (+.f64 (+.f64 beta 2) alpha) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) 3)
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(fma.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1)
(fma.f64 1 (+.f64 (+.f64 beta 2) alpha) 1)
(+.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))

eval2.5s (12.7%)

Compiler

Compiled 72358 to 50756 computations (29.9% saved)

prune399.0ms (2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New1304211325
Fresh000
Picked101
Done202
Total1307211328
Error
0.0b
Counts
1328 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
15.2b
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
28.4b
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.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))
62.8b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
32.3b
(/.f64 (/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
4.7b
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
62.6b
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
24.1b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
16.8b
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
28.3b
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
7.9b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
61.6b
(/.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))))
30.2b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
4.4b
(/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 (+.f64 alpha beta) 3))
8.9b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 (+.f64 3 beta) (+.f64 2 beta) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 5 (*.f64 2 beta)))))))
37.1b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
61.9b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
1.8b
(*.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))))
1.3b
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
4.4b
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1))) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2))
1.7b
(*.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))))
Compiler

Compiled 968 to 670 computations (30.8% saved)

localize101.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
0.1b
(*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))
4.2b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
13.4b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
Compiler

Compiled 112 to 76 computations (32.1% saved)

series81.0ms (0.4%)

Counts
4 → 48
Calls

24 calls:

TimeVariablePointExpression
9.0ms
beta
@0
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
7.0ms
alpha
@-inf
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
6.0ms
alpha
@0
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
5.0ms
alpha
@0
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
5.0ms
beta
@inf
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))

rewrite114.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
017116
141197
2662197
Stop Event
node limit
Counts
4 → 173
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
Outputs
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simplify163.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
090113427
1314812133
Stop Event
node limit
Counts
221 → 371
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (+.f64 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))))) (pow.f64 beta 2))))
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (+.f64 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (sqrt.f64 (+.f64 3 alpha)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 3 alpha)))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))))) (pow.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))
(+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))))))
(+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (+.f64 beta 3)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 3)))) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))))))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))))) (pow.f64 alpha 2))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2))) (sqrt.f64 (+.f64 beta 3)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 3)))) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))))) (pow.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))
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(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(/.f64 (*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (+.f64 (neg.f64 alpha) -1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (+.f64 (neg.f64 beta) -1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(pow.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3) (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3) (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1))
Outputs
(*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))
(*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))))
(/.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 2 alpha))
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))
(fma.f64 beta (fma.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))))) (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3)))))
(fma.f64 beta (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 2 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (+.f64 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))))) (pow.f64 beta 2))))
(fma.f64 beta (fma.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))))) (fma.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 alpha 3)))))) (*.f64 beta beta))))
(fma.f64 beta (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 alpha 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 beta beta) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 2 alpha))))
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (+.f64 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (sqrt.f64 (+.f64 3 alpha)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 3 alpha)))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))))) (pow.f64 beta 2)))))
(fma.f64 beta (fma.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))))) (fma.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (fma.f64 (pow.f64 beta 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (sqrt.f64 (+.f64 alpha 3)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 alpha 3)))) (+.f64 2 alpha))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))) (*.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 alpha 3)))))) (*.f64 beta beta)))))
(+.f64 (fma.f64 beta (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 2 alpha))) (fma.f64 (pow.f64 beta 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)))) (*.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 alpha 3)) (/.f64 1 (pow.f64 (+.f64 alpha 3) 4))) (+.f64 2 alpha))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 4)))))) (*.f64 (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 alpha 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 beta beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))))
(+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))
(fma.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 alpha (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))))))
(fma.f64 alpha (-.f64 (*.f64 (*.f64 -1/2 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta)))))
(+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))))))
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 1/2 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (/.f64 (+.f64 2 beta) (+.f64 1 beta))) (sqrt.f64 (+.f64 3 beta))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))))) (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 alpha (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))))))))
(fma.f64 (fma.f64 1/2 (fma.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (/.f64 (+.f64 2 beta) (+.f64 1 beta))) (sqrt.f64 (+.f64 3 beta)) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)))) (*.f64 alpha alpha) (fma.f64 alpha (-.f64 (*.f64 (*.f64 -1/2 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))))))
(+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (+.f64 beta 3)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 3)))) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))))))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))))
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 1/2 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (/.f64 (+.f64 2 beta) (+.f64 1 beta))) (sqrt.f64 (+.f64 3 beta))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))))) (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (fma.f64 (pow.f64 alpha 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))) (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (+.f64 3 beta)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 4)) (/.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2))) (+.f64 3 beta))) (/.f64 (+.f64 2 beta) (+.f64 1 beta)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 4)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))))) (*.f64 alpha (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))))))))
(fma.f64 (fma.f64 1/2 (fma.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (/.f64 (+.f64 2 beta) (+.f64 1 beta))) (sqrt.f64 (+.f64 3 beta)) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)))) (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (fma.f64 (pow.f64 alpha 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))) (-.f64 (*.f64 (sqrt.f64 (+.f64 3 beta)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)))) (*.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 3 beta)) (/.f64 1 (pow.f64 (+.f64 3 beta) 4))) (/.f64 (+.f64 2 beta) (+.f64 1 beta)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 4)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))) (*.f64 alpha (-.f64 (*.f64 (*.f64 -1/2 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 1 (+.f64 2 beta)))
(/.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 2 beta))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 1 (+.f64 2 beta)) (*.f64 alpha (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 1 (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))))))
(fma.f64 alpha (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 2 beta)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2))))) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 2 beta)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))))) (pow.f64 alpha 2))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 1 (+.f64 2 beta)) (fma.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 1 (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) alpha (*.f64 (*.f64 alpha alpha) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))))))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 2 beta)) (fma.f64 (*.f64 alpha alpha) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2)))))) (*.f64 alpha (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 2 beta)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2))))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2))) (sqrt.f64 (+.f64 beta 3)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 3)))) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))))) (pow.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 1 (+.f64 2 beta)) (fma.f64 (pow.f64 alpha 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 4)) (/.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2))) (+.f64 3 beta))) (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 4))))))) (fma.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 1 (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) alpha (*.f64 (*.f64 alpha alpha) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))))))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 2 beta)) (fma.f64 (pow.f64 alpha 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (*.f64 (sqrt.f64 (+.f64 3 beta)) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2))))) (*.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 3 beta)) (/.f64 1 (pow.f64 (+.f64 3 beta) 4))) (+.f64 2 beta))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 4)))))) (fma.f64 (*.f64 alpha alpha) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2)))))) (*.f64 alpha (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 2 beta)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2)))))))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))
(fma.f64 beta (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))
(fma.f64 beta (-.f64 (*.f64 (*.f64 -1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))
(+.f64 (*.f64 beta (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))))))
(fma.f64 beta (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (fma.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 2 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))))))))
(fma.f64 beta (-.f64 (*.f64 (*.f64 -1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (*.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 2 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2))))) (sqrt.f64 (+.f64 alpha 3))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))))
(+.f64 (*.f64 beta (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 3 alpha))))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))))))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))))))
(fma.f64 beta (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (fma.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (fma.f64 (pow.f64 beta 3) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))) (*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (sqrt.f64 (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 2 alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 alpha 3))))))))))) (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 2 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)))))))))
(fma.f64 beta (-.f64 (*.f64 (*.f64 -1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (fma.f64 (pow.f64 beta 3) (-.f64 (*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))) (*.f64 (sqrt.f64 (+.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 2 alpha) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 alpha 3)) (/.f64 1 (pow.f64 (+.f64 alpha 3) 4))))))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (*.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 2 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2))))) (sqrt.f64 (+.f64 alpha 3)))))))))
(*.f64 (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 3))) alpha))
(fma.f64 (sqrt.f64 (+.f64 3 beta)) (+.f64 2 beta) (*.f64 alpha (fma.f64 1/2 (*.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 1 (+.f64 3 beta)))) (sqrt.f64 (+.f64 3 beta)))))
(fma.f64 alpha (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 beta)))) (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta))) (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta))))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 beta 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 3))) alpha)))
(fma.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 -1/8 (*.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))))) (*.f64 alpha alpha) (fma.f64 (sqrt.f64 (+.f64 3 beta)) (+.f64 2 beta) (*.f64 alpha (fma.f64 1/2 (*.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 1 (+.f64 3 beta)))) (sqrt.f64 (+.f64 3 beta))))))
(fma.f64 (*.f64 alpha alpha) (fma.f64 -1/8 (*.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 beta))))) (fma.f64 alpha (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 beta)))) (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta))) (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta)))))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 beta 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 5))) (+.f64 beta 2))) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (pow.f64 alpha 3)) (+.f64 (*.f64 (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 3))) alpha))))
(fma.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 -1/8 (*.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))))) (*.f64 alpha alpha) (fma.f64 (fma.f64 1/16 (*.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 5)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) -1/8)) (pow.f64 alpha 3) (fma.f64 (sqrt.f64 (+.f64 3 beta)) (+.f64 2 beta) (*.f64 alpha (fma.f64 1/2 (*.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 1 (+.f64 3 beta)))) (sqrt.f64 (+.f64 3 beta)))))))
(fma.f64 (*.f64 alpha alpha) (fma.f64 -1/8 (*.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 beta))))) (fma.f64 (pow.f64 alpha 3) (fma.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 5)))) (+.f64 2 beta) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) -1/8)) (fma.f64 alpha (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 beta)))) (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta))) (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta))))))
(*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 3 alpha)))
(*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3)))
(+.f64 (*.f64 beta (+.f64 (sqrt.f64 (+.f64 3 alpha)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 3 alpha))))
(fma.f64 beta (+.f64 (sqrt.f64 (+.f64 alpha 3)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 alpha 3)))))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3))))
(fma.f64 beta (fma.f64 (+.f64 1 (*.f64 alpha 1/2)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (sqrt.f64 (+.f64 alpha 3))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3))))
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))) (+.f64 (*.f64 beta (+.f64 (sqrt.f64 (+.f64 3 alpha)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 3 alpha)))))
(fma.f64 (*.f64 beta beta) (fma.f64 -1/8 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) 1/2)) (fma.f64 beta (+.f64 (sqrt.f64 (+.f64 alpha 3)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 alpha 3)))))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3)))))
(fma.f64 (*.f64 beta beta) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) 1/2 (*.f64 (*.f64 -1/8 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))))) (fma.f64 beta (fma.f64 (+.f64 1 (*.f64 alpha 1/2)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (sqrt.f64 (+.f64 alpha 3))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3)))))
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))) (+.f64 (*.f64 beta (+.f64 (sqrt.f64 (+.f64 3 alpha)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (+.f64 (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 3 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/16 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 5))))) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))))))))
(fma.f64 (*.f64 beta beta) (fma.f64 -1/8 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) 1/2)) (fma.f64 beta (+.f64 (sqrt.f64 (+.f64 alpha 3)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 alpha 3)))))) (fma.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3)) (*.f64 (pow.f64 beta 3) (fma.f64 1/16 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 5)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) -1/8))))))
(fma.f64 (*.f64 beta beta) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) 1/2 (*.f64 (*.f64 -1/8 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))))) (fma.f64 beta (fma.f64 (+.f64 1 (*.f64 alpha 1/2)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (sqrt.f64 (+.f64 alpha 3))) (fma.f64 (pow.f64 beta 3) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) -1/8 (*.f64 (+.f64 1/8 (*.f64 alpha 1/16)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 5))))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
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(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) (*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta))) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) (cbrt.f64 (*.f64 (+.f64 (+.f64 alpha 3) beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))) (cbrt.f64 (*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))))
(*.f64 (/.f64 (+.f64 1 beta) (cbrt.f64 (*.f64 (+.f64 (+.f64 beta alpha) 2) (sqrt.f64 (+.f64 (+.f64 beta alpha) 3))))) (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 (+.f64 beta alpha) 3))) (cbrt.f64 (*.f64 (+.f64 (+.f64 beta alpha) 3) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)))))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))) (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) (*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (*.f64 (+.f64 (neg.f64 beta) -1) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) (*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) (*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) (*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) (*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (+.f64 (neg.f64 alpha) -1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) (*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) (*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (+.f64 (neg.f64 beta) -1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) (*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 beta alpha) 3)))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) (*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 beta alpha) 3)))
(pow.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1)
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (*.f64 (+.f64 (+.f64 alpha 3) beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 3) 1/3)
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (*.f64 (+.f64 (+.f64 alpha 3) beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 3)
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (*.f64 (+.f64 (+.f64 alpha 3) beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha))) (*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))) 2)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha))) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 (+.f64 beta alpha) 3))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (*.f64 (+.f64 (+.f64 alpha 3) beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))) 2))
(fabs.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2))))
(log.f64 (exp.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (*.f64 (+.f64 (+.f64 alpha 3) beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (*.f64 (+.f64 (+.f64 alpha 3) beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 3))
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (*.f64 (+.f64 (+.f64 alpha 3) beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3) (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) 3) (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 (+.f64 beta alpha) 3))) 3) (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 (+.f64 beta alpha) 3))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3) (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta))) 3) (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 2 alpha) beta) (sqrt.f64 (+.f64 (+.f64 alpha 3) beta)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 (+.f64 beta alpha) 3))) 3) (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 (+.f64 beta alpha) 3))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (*.f64 (+.f64 (+.f64 alpha 3) beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (*.f64 (+.f64 (+.f64 alpha 3) beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)))
(exp.f64 (log.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (*.f64 (+.f64 (+.f64 alpha 3) beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1))
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (*.f64 (+.f64 (+.f64 alpha 3) beta) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.8b
(/.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))

rewrite59.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114910
2205510
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 2) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 beta (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -2) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) beta) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 beta beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 alpha) (log.f64 (pow.f64 beta -2))))))))

simplify69.0ms (0.3%)

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 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
0.1b
(*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))
8.9b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
Compiler

Compiled 56 to 33 computations (41.1% saved)

series9.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite81.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
131138
2506038
Stop Event
node limit
Counts
2 → 108
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta 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 beta (+.f64 alpha 2)) (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 1)))) beta) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 1)))) 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 beta (+.f64 alpha 2)) (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 alpha) (neg.f64 (+.f64 beta 1))) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))) (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 1))) (/.f64 1 (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))))))) (#(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 beta (+.f64 alpha 2)) (*.f64 beta beta))))))) (#(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) 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*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 beta beta)) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (*.f64 beta beta)) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))) 2)) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (*.f64 (+.f64 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simplify115.0ms (0.6%)

Algorithm
egg-herbie
Rules
652×unswap-sqr_binary64
257×associate-/r*_binary64
224×times-frac_binary64
191×associate-+r+_binary64
190×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04414696
114094567
254614554
Stop Event
node limit
Counts
156 → 210
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)))))) (+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2)))))
(-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))))))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 beta (-.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 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha))))))))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 5)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 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 2 alpha)))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 4)) (/.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 2 alpha)))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 5))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 4)) (/.f64 alpha (pow.f64 beta 2))))))
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 beta 2) (+.f64 beta 2)))
(+.f64 (*.f64 alpha (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (/.f64 1 (*.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (/.f64 1 (*.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 alpha (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (/.f64 1 (*.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)) (/.f64 1 (*.f64 beta (+.f64 beta 2))))))
(+.f64 (*.f64 alpha (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (/.f64 1 (*.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3)) (/.f64 1 (*.f64 beta (+.f64 beta 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 beta 2))
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(fma.f64 (*.f64 beta (sqrt.f64 beta)) (*.f64 beta (sqrt.f64 beta)) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (*.f64 beta (sqrt.f64 beta)) (*.f64 beta (sqrt.f64 beta)) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
(fma.f64 (sqrt.f64 (pow.f64 beta 3)) (sqrt.f64 (pow.f64 beta 3)) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (sqrt.f64 (pow.f64 beta 3)) (sqrt.f64 (pow.f64 beta 3)) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
(fma.f64 (pow.f64 (sqrt.f64 beta) 3) (pow.f64 (sqrt.f64 beta) 3) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (pow.f64 (sqrt.f64 beta) 3) (pow.f64 (sqrt.f64 beta) 3) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
(fma.f64 (pow.f64 beta 3/2) (pow.f64 beta 3/2) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (pow.f64 beta 3/2) (pow.f64 beta 3/2) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
(fma.f64 (*.f64 (*.f64 beta beta) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (*.f64 (*.f64 beta beta) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
(fma.f64 (*.f64 (*.f64 beta beta) (sqrt.f64 beta)) (sqrt.f64 beta) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (*.f64 (*.f64 beta beta) (sqrt.f64 beta)) (sqrt.f64 beta) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (*.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (*.f64 beta (+.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)))))) (+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 1 (*.f64 beta (*.f64 beta (+.f64 alpha 2)))) (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 1 beta) (+.f64 alpha 2)) (/.f64 alpha (*.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (*.f64 beta (*.f64 beta (+.f64 alpha 2))))) (+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 (/.f64 (/.f64 (/.f64 1 beta) (+.f64 alpha 2)) beta) (-.f64 (+.f64 (/.f64 alpha (*.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 beta) (+.f64 alpha 2)) (/.f64 alpha (*.f64 beta (*.f64 beta (+.f64 alpha 2)))))) (+.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 alpha 2) 2))))))
(-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))))))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (/.f64 alpha (*.f64 beta (*.f64 beta (+.f64 alpha 2)))) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (*.f64 beta (*.f64 beta (+.f64 alpha 2))))) (+.f64 (/.f64 (/.f64 1 beta) (+.f64 alpha 2)) (/.f64 alpha (*.f64 beta (+.f64 alpha 2)))))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 (/.f64 alpha (*.f64 beta (*.f64 beta (+.f64 alpha 2)))) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (+.f64 (/.f64 (/.f64 1 beta) (+.f64 alpha 2)) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 alpha 2)) beta))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)))) (+.f64 (+.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))
(-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 beta (-.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 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha))))))))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 alpha (*.f64 beta (*.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 4))))) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (*.f64 beta (*.f64 beta (+.f64 alpha 2))))) (+.f64 (/.f64 (/.f64 1 beta) (+.f64 alpha 2)) (/.f64 alpha (*.f64 beta (+.f64 alpha 2))))))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 alpha (*.f64 beta (*.f64 beta (+.f64 alpha 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 1 beta) (+.f64 alpha 2)) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (/.f64 1 beta) (+.f64 alpha 2)) beta))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 4))))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))) (+.f64 (+.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(-.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 2 alpha)) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 alpha (pow.f64 beta 3)))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 alpha 2)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta))) (-.f64 (/.f64 alpha (pow.f64 beta 3)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 alpha 2)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (+.f64 (/.f64 alpha (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta)))) (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta))) (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 4) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 alpha 2))))) (/.f64 alpha (pow.f64 beta 3)))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 alpha 2)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (+.f64 (-.f64 (/.f64 alpha (pow.f64 beta 3)) (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 4)) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta)))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 alpha 2))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (+.f64 (+.f64 (/.f64 alpha (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta)))) (*.f64 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (-.f64 -1 alpha)) (pow.f64 beta 4)) (+.f64 alpha 2))) (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 5)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta))) (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 4) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 alpha 2))))) (/.f64 alpha (pow.f64 beta 3)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 5) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)))))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 alpha 2)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (+.f64 (-.f64 (/.f64 alpha (pow.f64 beta 3)) (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 4)) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta)))) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 5)) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 alpha 2))))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 alpha 2)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (+.f64 (+.f64 (/.f64 alpha (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta)))) (*.f64 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (-.f64 -1 alpha)) (pow.f64 beta 4)) (+.f64 alpha 2))) (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 5)) (+.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (-.f64 -2 alpha))) (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 alpha 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)))) (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (fma.f64 (+.f64 1 alpha) -1 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (pow.f64 beta 3))))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (-.f64 -2 alpha))) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 4)) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)))) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)))) (/.f64 (pow.f64 beta 4) (+.f64 alpha 2))))))
(+.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 4)) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)))))) (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 (+.f64 1 alpha) -1 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (pow.f64 beta 3))))
(+.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 4)) (+.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (-.f64 -2 alpha))))) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (-.f64 -2 alpha))) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 5))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 4)) (/.f64 alpha (pow.f64 beta 2))))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)))) (/.f64 (pow.f64 beta 5) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)))) (/.f64 (pow.f64 beta 4) (+.f64 alpha 2)))))))
(+.f64 (-.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 4)) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)))))) (/.f64 (fma.f64 (+.f64 1 alpha) -1 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (/.f64 (pow.f64 beta 5) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 (+.f64 1 alpha) -1 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 4)) (+.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (-.f64 -2 alpha))))) (-.f64 (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (-.f64 -2 alpha))) (pow.f64 beta 3)) (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (-.f64 -1 alpha)) (/.f64 (pow.f64 beta 5) (pow.f64 (+.f64 alpha 2) 2))))))
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 beta 2) (+.f64 beta 2)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (+.f64 1 beta) (*.f64 beta (*.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 alpha (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (/.f64 1 (*.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (/.f64 1 (*.f64 beta (+.f64 beta 2)))))
(fma.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 beta beta))) (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 2)) (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta beta)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 beta beta))) (/.f64 (/.f64 1 beta) (+.f64 beta 2))))
(fma.f64 alpha (+.f64 (/.f64 1 (*.f64 beta (*.f64 beta (+.f64 beta 2)))) (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 2)) (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta beta)))))) (+.f64 (/.f64 1 (*.f64 beta (*.f64 beta (+.f64 beta 2)))) (/.f64 (/.f64 1 beta) (+.f64 beta 2))))
(+.f64 (*.f64 alpha (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (/.f64 1 (*.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)) (/.f64 1 (*.f64 beta (+.f64 beta 2))))))
(fma.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 beta beta))) (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 2)) (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta beta)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 beta beta))) (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta beta))))) (*.f64 alpha alpha) (/.f64 (/.f64 1 beta) (+.f64 beta 2)))))
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(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) 3) 1/3)
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 beta beta)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))) 3)
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 beta beta)))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 1)))) beta) 2)
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 beta beta)))
(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) (+.f64 beta 1)) -1)
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 beta beta)))
(neg.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (*.f64 beta beta)))))
(*.f64 (+.f64 1 alpha) (*.f64 (+.f64 (neg.f64 beta) -1) (/.f64 1 (neg.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -1 beta) (*.f64 beta (neg.f64 beta))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) 2))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 beta beta)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 beta beta)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 beta beta)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) 3))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 beta beta)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)) 3)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 beta beta)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 beta beta)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 beta beta)))
(exp.f64 (-.f64 (log1p.f64 beta) (-.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))) (log1p.f64 alpha))))
(exp.f64 (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))) (log1p.f64 alpha)))
(/.f64 (exp.f64 (log1p.f64 beta)) (/.f64 (*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (exp.f64 (log1p.f64 alpha))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (-.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))) (log1p.f64 alpha))) 1))
(exp.f64 (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))) (log1p.f64 alpha)))
(/.f64 (exp.f64 (log1p.f64 beta)) (/.f64 (*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (exp.f64 (log1p.f64 alpha))))
(+.f64 (pow.f64 beta 3) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (pow.f64 beta 3) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 (+.f64 alpha 2) (*.f64 beta beta)) (pow.f64 beta 3))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 (+.f64 beta alpha) (*.f64 beta beta)) (*.f64 2 (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 (*.f64 beta beta) (+.f64 alpha 2)) (pow.f64 beta 3))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 (*.f64 beta beta) (+.f64 beta alpha)) (*.f64 (*.f64 beta beta) 2))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))) 1)
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 beta beta)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (*.f64 beta (*.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 (*.f64 beta beta) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta))))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta)) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 beta beta) (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(*.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 (*.f64 (*.f64 beta 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 beta (*.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 (*.f64 beta beta) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta))))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(/.f64 (*.f64 (*.f64 beta beta) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 beta beta) (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(*.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)) 1)
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)) 3) 1/3)
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))) 3)
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (*.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 2)
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(sqrt.f64 (*.f64 (pow.f64 beta 4) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(fabs.f64 (*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 beta) beta) (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)) 3))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (*.f64 beta beta) 3)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))) 1))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 beta (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 beta (*.f64 beta beta) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 1 (pow.f64 beta 3) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 1 (pow.f64 beta 3) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (*.f64 beta beta) beta (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (*.f64 beta beta) beta (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (*.f64 beta beta) (+.f64 alpha 2) (pow.f64 beta 3))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (*.f64 beta beta) (+.f64 beta alpha) (*.f64 (*.f64 beta beta) 2))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (cbrt.f64 (pow.f64 beta 4)) (*.f64 (pow.f64 (cbrt.f64 beta) 2) beta) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (cbrt.f64 (pow.f64 beta 4)) (*.f64 beta (pow.f64 (cbrt.f64 beta) 2)) (*.f64 beta (*.f64 beta (+.f64 alpha 2))))
(fma.f64 (cbrt.f64 (pow.f64 beta 4)) (*.f64 (pow.f64 (cbrt.f64 beta) 2) beta) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
(fma.f64 (cbrt.f64 (pow.f64 beta 4)) (*.f64 beta (pow.f64 (cbrt.f64 beta) 2)) (*.f64 beta (*.f64 beta (+.f64 alpha 2))))
(fma.f64 (+.f64 beta alpha) (*.f64 beta beta) (*.f64 2 (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (*.f64 beta (sqrt.f64 beta)) (*.f64 beta (sqrt.f64 beta)) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (*.f64 beta (sqrt.f64 beta)) (*.f64 beta (sqrt.f64 beta)) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (sqrt.f64 (pow.f64 beta 3)) (sqrt.f64 (pow.f64 beta 3)) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (sqrt.f64 (pow.f64 beta 3)) (sqrt.f64 (pow.f64 beta 3)) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (pow.f64 (sqrt.f64 beta) 3) (pow.f64 (sqrt.f64 beta) 3) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (pow.f64 (sqrt.f64 beta) 3) (pow.f64 (sqrt.f64 beta) 3) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (pow.f64 beta 3/2) (pow.f64 beta 3/2) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (pow.f64 beta 3/2) (pow.f64 beta 3/2) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (*.f64 (*.f64 beta beta) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (*.f64 (*.f64 beta beta) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (*.f64 (*.f64 beta beta) (sqrt.f64 beta)) (sqrt.f64 beta) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (*.f64 (*.f64 beta beta) (sqrt.f64 beta)) (sqrt.f64 beta) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))
(fma.f64 (+.f64 alpha 2) (*.f64 beta beta) (pow.f64 beta 3))
(*.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 2))))

localize24.0ms (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)

series19.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
8.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
3.0ms
beta
@-inf
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
2.0ms
beta
@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 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.0ms
beta
@inf
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

rewrite79.0ms (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))))))

simplify106.0ms (0.5%)

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)))

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
0.0b
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta 1)))
0.3b
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
1.4b
(*.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))))
Compiler

Compiled 102 to 69 computations (32.4% saved)

series20.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite114.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
380×log1p-udef_binary64
379×expm1-udef_binary64
224×add-sqr-sqrt_binary64
218×*-un-lft-identity_binary64
218×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01791
142791
2717891
Stop Event
node limit
Counts
4 → 193
Calls
Call 1
Inputs
(*.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))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta 1)))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) 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 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 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(neg.f64 (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta)))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 alpha)) (neg.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 alpha)) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta)))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 alpha)) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) (neg.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (neg.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 -1 (neg.f64 alpha))) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta)))) (neg.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (neg.f64 alpha))) (*.f64 (+.f64 alpha (+.f64 3 beta)) (neg.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 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(+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 3) (*.f64 beta (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 3) (+.f64 alpha (+.f64 2 beta)) (*.f64 beta (+.f64 alpha (+.f64 2 beta))))))))

simplify231.0ms (1.2%)

Algorithm
egg-herbie
Rules
747×fma-def_binary64
680×associate-/l*_binary64
266×*-commutative_binary64
235×+-commutative_binary64
186×associate-/r/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0103014009
1386113184
Stop Event
node limit
Counts
289 → 478
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
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(pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta))) -1)
(neg.f64 (/.f64 (+.f64 1 alpha) (neg.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (+.f64 alpha (+.f64 2 beta))) (log1p.f64 beta))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (+.f64 alpha (+.f64 2 beta))) (log1p.f64 beta))) 1))
(+.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 3)) (*.f64 beta (+.f64 alpha (+.f64 2 beta))))
(+.f64 (*.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 3)))
(+.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 3)) 1) (*.f64 (*.f64 beta (+.f64 alpha (+.f64 2 beta))) 1))
(+.f64 (*.f64 3 (+.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta))))
(+.f64 (*.f64 alpha (+.f64 alpha (+.f64 3 beta))) (*.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 3 beta))))
(+.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 3 beta))) (*.f64 alpha (+.f64 alpha (+.f64 3 beta))))
(+.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (+.f64 3 beta))) (*.f64 beta (+.f64 alpha (+.f64 3 beta))))
(+.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) 3) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta)))
(+.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) alpha) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 beta)))
(+.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) alpha))
(+.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 3 beta)) beta))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 1)
(/.f64 1 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 1 (+.f64 alpha (+.f64 3 beta))))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 1)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 2) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) -1/2))
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta)))) -1)
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))) (+.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 3))))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 3))))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))) (+.f64 alpha (-.f64 3 beta))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta))) (*.f64 (-.f64 alpha (+.f64 2 beta)) (+.f64 alpha (-.f64 3 beta))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (*.f64 (+.f64 alpha (-.f64 3 beta)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha)))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 3)))) (-.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 alpha (-.f64 3 beta)) (-.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 3)) 3) (pow.f64 (*.f64 beta (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 3))) (-.f64 (*.f64 (*.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 beta (+.f64 alpha (+.f64 2 beta)))) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 3)) (*.f64 beta (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 3))) (*.f64 (*.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 beta (+.f64 alpha (+.f64 2 beta))))) (-.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 3)) (*.f64 beta (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (+.f64 alpha (+.f64 3 beta))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 3)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (-.f64 3 beta)))
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 3)))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta))) (+.f64 alpha (-.f64 3 beta)))
(/.f64 (*.f64 (+.f64 alpha (+.f64 3 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 alpha (+.f64 3 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (-.f64 alpha (+.f64 2 beta)))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3) (pow.f64 (+.f64 alpha (+.f64 3 beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 3 beta)) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 1))
(fma.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 3) (*.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 (+.f64 alpha 3) (+.f64 alpha (+.f64 2 beta)) (*.f64 beta (+.f64 alpha (+.f64 2 beta))))
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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (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) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2))))) (/.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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (/.f64 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) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (*.f64 alpha alpha) (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) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2))))) (+.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 (/.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 -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)))))))
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(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 alpha (-.f64 3 beta))) (-.f64 (pow.f64 (+.f64 3 alpha) 2) (*.f64 beta beta)))
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 3)))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 3 alpha) 2) (*.f64 beta (-.f64 beta (+.f64 3 alpha)))) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 (fma.f64 beta (+.f64 beta (-.f64 -3 alpha)) (pow.f64 (+.f64 3 alpha) 2)) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta))) (+.f64 alpha (-.f64 3 beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 3 alpha) 2) (*.f64 beta beta)) (/.f64 (+.f64 alpha (-.f64 3 beta)) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 alpha (-.f64 3 beta))) (-.f64 (pow.f64 (+.f64 3 alpha) 2) (*.f64 beta beta)))
(/.f64 (*.f64 (+.f64 alpha (+.f64 3 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 (+.f64 beta 3) alpha) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta alpha)))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (-.f64 alpha (+.f64 2 beta)))
(/.f64 (+.f64 (+.f64 beta 3) alpha) (/.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (/.f64 (+.f64 (+.f64 beta 3) alpha) (-.f64 (+.f64 alpha -2) beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 1)
(fma.f64 beta (+.f64 (+.f64 beta 2) alpha) (*.f64 (+.f64 3 alpha) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 3) 1/3)
(fma.f64 beta (+.f64 (+.f64 beta 2) alpha) (*.f64 (+.f64 3 alpha) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 3)
(fma.f64 beta (+.f64 (+.f64 beta 2) alpha) (*.f64 (+.f64 3 alpha) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 2)
(fma.f64 beta (+.f64 (+.f64 beta 2) alpha) (*.f64 (+.f64 3 alpha) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)) 2))
(fabs.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))
(fma.f64 beta (+.f64 (+.f64 beta 2) alpha) (*.f64 (+.f64 3 alpha) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))
(fma.f64 beta (+.f64 (+.f64 beta 2) alpha) (*.f64 (+.f64 3 alpha) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 3))
(fma.f64 beta (+.f64 (+.f64 beta 2) alpha) (*.f64 (+.f64 3 alpha) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3) (pow.f64 (+.f64 alpha (+.f64 3 beta)) 3)))
(fma.f64 beta (+.f64 (+.f64 beta 2) alpha) (*.f64 (+.f64 3 alpha) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 3 beta)) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(fma.f64 beta (+.f64 (+.f64 beta 2) alpha) (*.f64 (+.f64 3 alpha) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(fma.f64 beta (+.f64 (+.f64 beta 2) alpha) (*.f64 (+.f64 3 alpha) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(fma.f64 beta (+.f64 (+.f64 beta 2) alpha) (*.f64 (+.f64 3 alpha) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(fma.f64 beta (+.f64 (+.f64 beta 2) alpha) (*.f64 (+.f64 3 alpha) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 1))
(fma.f64 beta (+.f64 (+.f64 beta 2) alpha) (*.f64 (+.f64 3 alpha) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))
(fma.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 3) (*.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 beta (+.f64 (+.f64 beta 2) alpha) (*.f64 (+.f64 3 alpha) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))
(fma.f64 (+.f64 alpha 3) (+.f64 alpha (+.f64 2 beta)) (*.f64 beta (+.f64 alpha (+.f64 2 beta))))
(fma.f64 beta (+.f64 (+.f64 beta 2) alpha) (*.f64 (+.f64 3 alpha) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))

eval2.3s (11.4%)

Compiler

Compiled 76626 to 56300 computations (26.5% saved)

prune560.0ms (2.8%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New1534201554
Fresh10616
Picked101
Done314
Total1548271575
Error
0b
Counts
1575 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(pow.f64 beta -2)
24.1b
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
32.3b
(/.f64 (/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
4.7b
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
24.1b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
28.3b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
28.3b
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
41.7b
(/.f64 (/.f64 alpha beta) beta)
27.3b
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
4.1b
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))))
31.9b
(/.f64 (/.f64 1 beta) beta)
61.6b
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
35.3b
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
16.8b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
55.9b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
30.2b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.1b
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
1.7b
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
43.1b
(/.f64 alpha (*.f64 beta beta))
27.4b
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
32.1b
(/.f64 1 (*.f64 beta beta))
62.3b
(/.f64 1 alpha)
30.2b
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
4.6b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
1.8b
(*.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))))
15.2b
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
25.5b
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
Compiler

Compiled 841 to 594 computations (29.4% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 91 to 61 computations (33% saved)

series64.0ms (0.3%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
49.0ms
alpha
@0
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
1.0ms
beta
@0
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
1.0ms
alpha
@-inf
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
1.0ms
beta
@-inf
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
1.0ms
alpha
@inf
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))

rewrite127.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
439×fma-neg_binary64
357×log1p-udef_binary64
356×expm1-udef_binary64
206×add-sqr-sqrt_binary64
201×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01691
139479
2645979
Stop Event
node limit
Counts
4 → 163
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (+.f64 alpha (+.f64 3 beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (/.f64 1 (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (+.f64 alpha (+.f64 3 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) 2)) (*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))) (/.f64 1 (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (+.f64 alpha (+.f64 3 beta)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (+.f64 alpha (+.f64 3 beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (+.f64 alpha (+.f64 3 beta)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 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simplify205.0ms (1%)

Algorithm
egg-herbie
Rules
668×associate-/l*_binary64
611×fma-def_binary64
456×times-frac_binary64
440×associate-/r*_binary64
241×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095112757
1336512194
Stop Event
node limit
Counts
259 → 457
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 1 (+.f64 beta 2))
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1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) alpha)) 1)
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1
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(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))))
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(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
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(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (*.f64 2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
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(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
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(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha)))))) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)) (*.f64 2 (*.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha))))))) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(/.f64 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))))
(+.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 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (+.f64 alpha (+.f64 3 beta))))) 1)
(*.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (+.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (/.f64 1 (+.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (+.f64 alpha (+.f64 3 beta))) 1)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) 2)) (*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))) (/.f64 1 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (+.f64 alpha (+.f64 3 beta)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (+.f64 alpha (+.f64 3 beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (+.f64 alpha (+.f64 3 beta)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) (+.f64 alpha (+.f64 3 beta)))))
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(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 beta 1) (+.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 beta 1) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 1)) -1)
(neg.f64 (/.f64 (+.f64 beta 1) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (+.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 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 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))))
(+.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 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 3) 2))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (+.f64 alpha 3))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 3) 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) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 3) 2))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 (/.f64 (+.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 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 3) 2))))) (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)) (fma.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.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 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)) (+.f64 7 (*.f64 3 alpha)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))) (+.f64 (/.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 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 3) 2))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (+.f64 alpha 3))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)))) (+.f64 alpha 3)))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 3) 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) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 3) 2))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 (/.f64 (+.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 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 (pow.f64 beta 3) (+.f64 (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) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 3) 2))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (fma.f64 3 alpha 7) (+.f64 alpha 3)) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)))) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))) (*.f64 (/.f64 (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 (+.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 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 3) 2))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 3 alpha 7) (pow.f64 (+.f64 alpha 3) 2)))) (+.f64 alpha 3)))))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(-.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 1 (*.f64 beta beta)) (-.f64 (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 alpha (pow.f64 beta 3)))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 7 (*.f64 3 alpha))))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (pow.f64 beta 3))) (+.f64 (/.f64 (/.f64 alpha beta) beta) (/.f64 alpha (pow.f64 beta 3)))) (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 beta 3) (fma.f64 3 alpha 7))))
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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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(fabs.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha)))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))))))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) 3))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) 3)))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(exp.f64 (log.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))) 1))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (+.f64 1 alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))))) 1)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 1 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (sqrt.f64 (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(/.f64 (-.f64 -1 beta) (+.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 beta 1))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.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 beta 1) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))))
(/.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 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.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 beta 1)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (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 beta 1) (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 beta 1)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (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 beta 1) (+.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 beta 1) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 beta) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (+.f64 1 beta) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (-.f64 beta alpha) -2)))
(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 1)) -1)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(neg.f64 (/.f64 (+.f64 beta 1) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(/.f64 (-.f64 -1 beta) (+.f64 -2 (neg.f64 (+.f64 alpha beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.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 beta 1) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha 2) beta))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (+.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))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 28 to 21 computations (25% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite72.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
641×unpow-prod-down_binary64
423×log-prod_binary64
297×pow-prod-down_binary64
281×prod-diff_binary64
250×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
120723
2280923
Stop Event
node limit
Counts
2 → 134
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (/.f64 1 (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (fma.f64 beta beta -4)) (-.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) -2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 3) -1/2) (pow.f64 (*.f64 (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) -1) (pow.f64 (*.f64 (cbrt.f64 (+.f64 beta 2)) (+.f64 beta 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1) (pow.f64 (*.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 beta 3) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 beta 3) (sqrt.f64 (+.f64 beta 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 beta 2) (cbrt.f64 (pow.f64 (+.f64 beta 3) 2))) -1) (pow.f64 (cbrt.f64 (+.f64 beta 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta 3))) -1) (pow.f64 (+.f64 beta 3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (+.f64 beta 2)) 1) (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) 1) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (fma.f64 beta beta -4)) 1) (-.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)) 1/3) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 2) 3) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 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simplify100.0ms (0.5%)

Algorithm
egg-herbie
Rules
694×times-frac_binary64
557×unswap-sqr_binary64
330×associate-/l*_binary64
217×sqr-pow_binary64
146×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03652617
110262563
230922502
Stop Event
node limit
Counts
158 → 230
Calls
Call 1
Inputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (*.f64 19/216 (pow.f64 beta 2))))
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (+.f64 (*.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
6
(+.f64 6 (*.f64 5 beta))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 0 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))) 1)
(*.f64 1 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))
(*.f64 -1 (/.f64 1 (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))))
(*.f64 -1 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))) 1))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (/.f64 1 (+.f64 beta 2)) 1))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (fma.f64 beta beta -4)) (-.f64 beta 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) -2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) -1))
(*.f64 (pow.f64 (+.f64 beta 3) -1/2) (pow.f64 (*.f64 (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) -1) (pow.f64 (*.f64 (cbrt.f64 (+.f64 beta 2)) (+.f64 beta 3)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1) (pow.f64 (*.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 3)) -1))
(*.f64 (pow.f64 (*.f64 (+.f64 beta 3) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 beta 2)) -1))
(*.f64 (pow.f64 (*.f64 (+.f64 beta 3) (sqrt.f64 (+.f64 beta 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1))
(*.f64 (pow.f64 (*.f64 (+.f64 beta 2) (cbrt.f64 (pow.f64 (+.f64 beta 3) 2))) -1) (pow.f64 (cbrt.f64 (+.f64 beta 3)) -1))
(*.f64 (pow.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta 3))) -1) (pow.f64 (+.f64 beta 3) -1/2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 beta 2)) 1) (/.f64 1 (+.f64 beta 3)))
(*.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) 1) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))
(*.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (fma.f64 beta beta -4)) 1) (-.f64 beta 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)) 1/3) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 2) 3) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 3))
(pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1)
(pow.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) -1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) -1/3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) 2)
(pow.f64 (neg.f64 (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))) -1)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2))
(log.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1))
(+.f64 0 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (*.f64 beta (+.f64 beta 3)) (fma.f64 beta 2 6))
(+.f64 (fma.f64 beta 2 6) (*.f64 beta (+.f64 beta 3)))
(+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 3 (+.f64 beta 2)))
(+.f64 (*.f64 (*.f64 beta (+.f64 beta 3)) 1) (*.f64 (fma.f64 beta 2 6) 1))
(+.f64 (*.f64 3 (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 (+.f64 beta 2) beta) (*.f64 (+.f64 beta 2) 3))
(+.f64 (*.f64 (+.f64 beta 2) 3) (*.f64 (+.f64 beta 2) beta))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (+.f64 beta 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (+.f64 beta 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (+.f64 beta 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (+.f64 beta 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1)
(/.f64 1 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))
(/.f64 (+.f64 beta 3) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3)))
(/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))
(/.f64 (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2))) -1)
(/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3)) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2))))
(/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 beta -3) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (fma.f64 beta beta -4)) (*.f64 (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3)) (-.f64 beta 2)))
(/.f64 (*.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (*.f64 (+.f64 beta -3) (-.f64 beta 2)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3))) (*.f64 (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)) (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3))))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (*.f64 (-.f64 beta 2) (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -9)) (*.f64 (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)) (+.f64 beta -3)))
(/.f64 (*.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -9)) (*.f64 (-.f64 beta 2) (+.f64 beta -3)))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 3) (pow.f64 (fma.f64 beta 2 6) 3)) (+.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 2) (-.f64 (pow.f64 (fma.f64 beta 2 6) 2) (*.f64 (*.f64 beta (+.f64 beta 3)) (fma.f64 beta 2 6)))))
(/.f64 (-.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 2) (pow.f64 (fma.f64 beta 2 6) 2)) (fma.f64 beta (+.f64 beta 3) (neg.f64 (fma.f64 beta 2 6))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 beta 2)) (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3)))
(/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 beta 2)) (+.f64 beta -3))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 3)) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 beta 3)) (-.f64 beta 2))
(/.f64 (*.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))
(/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (-.f64 beta 2))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3)))
(/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) (+.f64 beta -3))
(pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)
(pow.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) -1)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -3) -1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) -3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) -2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (+.f64 beta 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 beta 2 6)) (exp.f64 (*.f64 beta (+.f64 beta 3)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1))
(fma.f64 1 (*.f64 beta (+.f64 beta 3)) (fma.f64 beta 2 6))
(fma.f64 1 (fma.f64 beta 2 6) (*.f64 beta (+.f64 beta 3)))
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(fma.f64 beta (+.f64 beta 2) (*.f64 3 (+.f64 beta 2)))
(fma.f64 3 (+.f64 beta 2) (*.f64 beta (+.f64 beta 2)))
(fma.f64 (+.f64 beta 3) beta (fma.f64 beta 2 6))
(fma.f64 (+.f64 beta 3) 2 (*.f64 beta (+.f64 beta 3)))
(fma.f64 2 (+.f64 beta 3) (*.f64 beta (+.f64 beta 3)))
(fma.f64 (+.f64 beta 2) beta (*.f64 (+.f64 beta 2) 3))
(fma.f64 (+.f64 beta 2) 3 (*.f64 (+.f64 beta 2) beta))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) 2)) (*.f64 (cbrt.f64 (+.f64 beta 3)) 2) (*.f64 beta (+.f64 beta 3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) 2)) (*.f64 (cbrt.f64 (+.f64 beta 3)) beta) (fma.f64 beta 2 6))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (+.f64 beta 3)) (fma.f64 beta 2 6))
(fma.f64 (sqrt.f64 (+.f64 beta 3)) (*.f64 (sqrt.f64 (+.f64 beta 3)) 2) (*.f64 beta (+.f64 beta 3)))
(fma.f64 (sqrt.f64 (+.f64 beta 3)) (*.f64 (sqrt.f64 (+.f64 beta 3)) beta) (fma.f64 beta 2 6))
(fma.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (+.f64 beta 3)) (fma.f64 beta 2 6))
(fma.f64 (*.f64 beta (+.f64 beta 3)) 1 (*.f64 (fma.f64 beta 2 6) 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 6)) 2) (cbrt.f64 (fma.f64 beta 2 6)) (*.f64 beta (+.f64 beta 3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 3))) 2) (cbrt.f64 (*.f64 beta (+.f64 beta 3))) (fma.f64 beta 2 6))
(fma.f64 (sqrt.f64 (fma.f64 beta 2 6)) (sqrt.f64 (fma.f64 beta 2 6)) (*.f64 beta (+.f64 beta 3)))
(fma.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 3))) (sqrt.f64 (*.f64 beta (+.f64 beta 3))) (fma.f64 beta 2 6))
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 (+.f64 beta 3) 2))) (cbrt.f64 (+.f64 beta 3)) (*.f64 beta (+.f64 beta 3)))
(fma.f64 (*.f64 2 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (*.f64 beta (+.f64 beta 3)))
(fma.f64 (*.f64 beta (cbrt.f64 (pow.f64 (+.f64 beta 3) 2))) (cbrt.f64 (+.f64 beta 3)) (fma.f64 beta 2 6))
(fma.f64 (*.f64 beta (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (fma.f64 beta 2 6))
(fma.f64 (*.f64 (+.f64 beta 3) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta) (fma.f64 beta 2 6))
(fma.f64 (*.f64 (+.f64 beta 3) (sqrt.f64 beta)) (sqrt.f64 beta) (fma.f64 beta 2 6))
Outputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(fma.f64 -5/36 beta 1/6)
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (*.f64 19/216 (pow.f64 beta 2))))
(+.f64 (fma.f64 -5/36 beta 1/6) (*.f64 19/216 (*.f64 beta beta)))
(fma.f64 -5/36 beta (fma.f64 19/216 (*.f64 beta beta) 1/6))
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (+.f64 (*.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2)))))
(+.f64 (fma.f64 -5/36 beta 1/6) (fma.f64 -65/1296 (pow.f64 beta 3) (*.f64 19/216 (*.f64 beta beta))))
(+.f64 (fma.f64 -5/36 beta 1/6) (fma.f64 19/216 (*.f64 beta beta) (*.f64 -65/1296 (pow.f64 beta 3))))
(+.f64 (fma.f64 -5/36 beta 1/6) (*.f64 (*.f64 beta beta) (+.f64 19/216 (*.f64 -65/1296 beta))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 -5 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 5 (pow.f64 beta 3))))
(+.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3))))
(+.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 -5 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 19 (pow.f64 beta 4))) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5))))
(+.f64 (/.f64 19 (pow.f64 beta 4)) (-.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5)))))
(+.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 (/.f64 19 (pow.f64 beta 4)) (-.f64 (/.f64 -5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5)))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 -5 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 5 (pow.f64 beta 3))))
(+.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3))))
(+.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 -5 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 19 (pow.f64 beta 4))) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5))))
(+.f64 (/.f64 19 (pow.f64 beta 4)) (-.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5)))))
(+.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 (/.f64 19 (pow.f64 beta 4)) (-.f64 (/.f64 -5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5)))))
6
(+.f64 6 (*.f64 5 beta))
(+.f64 6 (*.f64 beta 5))
(fma.f64 beta 5 6)
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(fma.f64 5 beta (*.f64 beta beta))
(*.f64 beta (+.f64 beta 5))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(fma.f64 5 beta (*.f64 beta beta))
(*.f64 beta (+.f64 beta 5))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(+.f64 0 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
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(/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (fma.f64 beta beta -4)) (*.f64 (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3)) (-.f64 beta 2)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (+.f64 (pow.f64 beta 3) 27) (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3))))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (+.f64 (pow.f64 beta 3) 27) (+.f64 (fma.f64 beta beta 9) (*.f64 beta -3))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 (pow.f64 beta 3) 27)) (+.f64 (fma.f64 beta beta 9) (*.f64 beta -3))) (+.f64 beta -2))
(/.f64 (*.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (*.f64 (+.f64 beta -3) (-.f64 beta 2)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3))) (*.f64 (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)) (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2))) (/.f64 (+.f64 (pow.f64 beta 3) 27) (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 (fma.f64 beta beta 4) (*.f64 beta -2))) (/.f64 (+.f64 (pow.f64 beta 3) 27) (+.f64 (fma.f64 beta beta 9) (*.f64 beta -3))))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (*.f64 (-.f64 beta 2) (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3))))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (+.f64 (pow.f64 beta 3) 27) (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3))))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (+.f64 (pow.f64 beta 3) 27) (+.f64 (fma.f64 beta beta 9) (*.f64 beta -3))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 (pow.f64 beta 3) 27)) (+.f64 (fma.f64 beta beta 9) (*.f64 beta -3))) (+.f64 beta -2))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -9)) (*.f64 (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)) (+.f64 beta -3)))
(*.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (/.f64 (+.f64 (pow.f64 beta 3) 8) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2))))
(*.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 (fma.f64 beta beta 4) (*.f64 beta -2))))
(/.f64 (*.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -9)) (*.f64 (-.f64 beta 2) (+.f64 beta -3)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 3) (pow.f64 (fma.f64 beta 2 6) 3)) (+.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 2) (-.f64 (pow.f64 (fma.f64 beta 2 6) 2) (*.f64 (*.f64 beta (+.f64 beta 3)) (fma.f64 beta 2 6)))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 3) (pow.f64 (fma.f64 beta 2 6) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 2) (pow.f64 (fma.f64 beta 2 6) 2)) (*.f64 beta (*.f64 (+.f64 beta 3) (fma.f64 beta 2 6)))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 3) (pow.f64 (fma.f64 beta 2 6) 3)) (+.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 2) (*.f64 (fma.f64 beta 2 6) (-.f64 (fma.f64 beta 2 6) (*.f64 beta (+.f64 beta 3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 3) (pow.f64 (fma.f64 beta 2 6) 3)) (+.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 2) (*.f64 (fma.f64 beta 2 6) (*.f64 (+.f64 beta 3) (-.f64 2 beta)))))
(/.f64 (-.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 2) (pow.f64 (fma.f64 beta 2 6) 2)) (fma.f64 beta (+.f64 beta 3) (neg.f64 (fma.f64 beta 2 6))))
(/.f64 (-.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 2) (pow.f64 (fma.f64 beta 2 6) 2)) (fma.f64 beta (+.f64 beta 3) (+.f64 (*.f64 beta -2) -6)))
(/.f64 (-.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 2) (pow.f64 (fma.f64 beta 2 6) 2)) (*.f64 (+.f64 beta 3) (+.f64 beta -2)))
(/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 beta 2)) (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3)))
(/.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3)) (+.f64 beta 2)))
(/.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (+.f64 (fma.f64 beta beta 9) (*.f64 beta -3)) (+.f64 beta 2)))
(/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 beta 2)) (+.f64 beta -3))
(/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta -3) (fma.f64 beta beta -9)))
(/.f64 (fma.f64 beta beta -9) (/.f64 (+.f64 beta -3) (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 3)) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))
(/.f64 (+.f64 beta 3) (/.f64 (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)) (+.f64 (pow.f64 beta 3) 8)))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 (fma.f64 beta beta 4) (*.f64 beta -2))) (+.f64 beta 3))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 beta 3)) (-.f64 beta 2))
(/.f64 (+.f64 beta 3) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))
(/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (+.f64 beta 3))
(/.f64 (*.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))
(/.f64 (+.f64 beta 3) (/.f64 (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)) (+.f64 (pow.f64 beta 3) 8)))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 (fma.f64 beta beta 4) (*.f64 beta -2))) (+.f64 beta 3))
(/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (-.f64 beta 2))
(/.f64 (+.f64 beta 3) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))
(/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (+.f64 beta 3))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3)))
(/.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3)) (+.f64 beta 2)))
(/.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (+.f64 (fma.f64 beta beta 9) (*.f64 beta -3)) (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) (+.f64 beta -3))
(/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta -3) (fma.f64 beta beta -9)))
(/.f64 (fma.f64 beta beta -9) (/.f64 (+.f64 beta -3) (+.f64 beta 2)))
(pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(pow.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) -1)
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) 1/2)
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) 1/3)
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -3) -1/3)
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -3) -1/6) (pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -3) -1/6))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) -3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) -2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (+.f64 beta 3)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(log.f64 (*.f64 (exp.f64 (fma.f64 beta 2 6)) (exp.f64 (*.f64 beta (+.f64 beta 3)))))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 1 (*.f64 beta (+.f64 beta 3)) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 1 (fma.f64 beta 2 6) (*.f64 beta (+.f64 beta 3)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 beta (+.f64 beta 2) (*.f64 3 (+.f64 beta 2)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 3 (+.f64 beta 2) (*.f64 beta (+.f64 beta 2)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (+.f64 beta 3) beta (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (+.f64 beta 3) 2 (*.f64 beta (+.f64 beta 3)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 2 (+.f64 beta 3) (*.f64 beta (+.f64 beta 3)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (+.f64 beta 2) beta (*.f64 (+.f64 beta 2) 3))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (+.f64 beta 2) 3 (*.f64 (+.f64 beta 2) beta))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) 2)) (*.f64 (cbrt.f64 (+.f64 beta 3)) 2) (*.f64 beta (+.f64 beta 3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) 2)) (*.f64 2 (cbrt.f64 (+.f64 beta 3))) (*.f64 beta (+.f64 beta 3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) 2)) (*.f64 (cbrt.f64 (+.f64 beta 3)) beta) (fma.f64 beta 2 6))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) 2)) (*.f64 beta (cbrt.f64 (+.f64 beta 3))) (fma.f64 beta 2 6))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (+.f64 beta 3)) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta 3)) (*.f64 (sqrt.f64 (+.f64 beta 3)) 2) (*.f64 beta (+.f64 beta 3)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta 3)) (*.f64 (sqrt.f64 (+.f64 beta 3)) beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (+.f64 beta 3)) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (*.f64 beta (+.f64 beta 3)) 1 (*.f64 (fma.f64 beta 2 6) 1))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 6)) 2) (cbrt.f64 (fma.f64 beta 2 6)) (*.f64 beta (+.f64 beta 3)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 3))) 2) (cbrt.f64 (*.f64 beta (+.f64 beta 3))) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (fma.f64 beta 2 6)) (sqrt.f64 (fma.f64 beta 2 6)) (*.f64 beta (+.f64 beta 3)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 3))) (sqrt.f64 (*.f64 beta (+.f64 beta 3))) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 (+.f64 beta 3) 2))) (cbrt.f64 (+.f64 beta 3)) (*.f64 beta (+.f64 beta 3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) 2)) (*.f64 2 (cbrt.f64 (+.f64 beta 3))) (*.f64 beta (+.f64 beta 3)))
(fma.f64 (*.f64 2 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (*.f64 beta (+.f64 beta 3)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (*.f64 beta (cbrt.f64 (pow.f64 (+.f64 beta 3) 2))) (cbrt.f64 (+.f64 beta 3)) (fma.f64 beta 2 6))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) 2)) (*.f64 beta (cbrt.f64 (+.f64 beta 3))) (fma.f64 beta 2 6))
(fma.f64 (*.f64 beta (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (*.f64 (+.f64 beta 3) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(fma.f64 (*.f64 (+.f64 beta 3) (sqrt.f64 beta)) (sqrt.f64 beta) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
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))) beta)
Compiler

Compiled 46 to 29 computations (37% saved)

series9.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite71.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
123816
2366116
Stop Event
node limit
Counts
1 → 43
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (neg.f64 alpha) -1) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) beta) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 beta (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))))) 1))))))

simplify73.0ms (0.4%)

Algorithm
egg-herbie
Rules
673×fma-def_binary64
641×associate-/l*_binary64
637×times-frac_binary64
591×distribute-rgt-in_binary64
567×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02381994
16901932
223761798
Stop Event
node limit
Counts
67 → 127
Calls
Call 1
Inputs
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2))))))
(/.f64 1 beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta alpha))) (+.f64 (/.f64 2 (*.f64 beta alpha)) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 2))))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 beta alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 beta alpha))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 beta alpha)))))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 2 alpha))) (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 2 alpha))) (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 5))) (/.f64 alpha (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 5))) (/.f64 alpha (pow.f64 beta 2))))))
(+.f64 0 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 beta))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 beta)))
(*.f64 (/.f64 (+.f64 (neg.f64 alpha) -1) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) beta) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) beta))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) beta))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 beta)))
(pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (*.f64 beta (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))))) 1))
Outputs
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.f64 (/.f64 1 beta) (+.f64 beta 2))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2))))
(fma.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha (/.f64 1 (*.f64 beta (+.f64 beta 2))))
(fma.f64 (+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 2)) (/.f64 (/.f64 -1 beta) (pow.f64 (+.f64 beta 2) 2))) alpha (/.f64 (/.f64 1 beta) (+.f64 beta 2)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2)))))
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(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 5))) (/.f64 alpha (pow.f64 beta 2))))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 2))) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 alpha (*.f64 beta beta))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 4)) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (/.f64 alpha (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 5)) (pow.f64 (+.f64 2 alpha) 3))))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 2 alpha)))
(+.f64 (*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 beta 3)) (+.f64 2 alpha)) (+.f64 (fma.f64 (/.f64 (-.f64 alpha -1) (pow.f64 beta 4)) (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))) (*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 beta 5)) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 0 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))) 1)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 1 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 (neg.f64 alpha) -1) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (neg.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) beta) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 beta))) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 beta))))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 beta))) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))) 2) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))) 2) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 alpha -1) (+.f64 beta (+.f64 2 alpha)))) 2) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 beta))) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (-.f64 alpha -1) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 beta))))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(pow.f64 (*.f64 beta (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) -1)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (neg.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha -1) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 beta (+.f64 beta (+.f64 2 alpha))))

localize33.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
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)))
0.6b
(/.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)

series11.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
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
beta
@-inf
(/.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))))

rewrite96.0ms (0.5%)

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

simplify161.0ms (0.8%)

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)))))
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(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 (+.f64 beta 3) alpha))) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta (+.f64 3 alpha)))) 2)))
(*.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))))

eval1.4s (6.8%)

Compiler

Compiled 51714 to 38131 computations (26.3% saved)

prune552.0ms (2.8%)

Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New126791276
Fresh12021
Picked101
Done325
Total1272311303
Error
0b
Counts
1303 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(pow.f64 beta -2)
28.3b
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) beta)
24.1b
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
32.3b
(/.f64 (/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
4.7b
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
24.1b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
28.3b
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
41.7b
(/.f64 (/.f64 alpha beta) beta)
27.3b
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
4.1b
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))))
31.9b
(/.f64 (/.f64 1 beta) beta)
35.3b
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
30.0b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
55.9b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
30.2b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.1b
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
28.2b
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) beta)) (+.f64 beta (+.f64 alpha 3)))
28.4b
(/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
1.7b
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
43.1b
(/.f64 alpha (*.f64 beta beta))
31.5b
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
32.1b
(/.f64 1 (*.f64 beta beta))
60.1b
(/.f64 1 beta)
30.2b
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
58.0b
(+.f64 (*.f64 -5/36 beta) 1/6)
4.6b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
1.8b
(*.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))))
15.2b
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
25.5b
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
29.7b
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
57.2b
1/6
Compiler

Compiled 923 to 656 computations (28.9% saved)

localize60.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
0.0b
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
0.0b
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
1.7b
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
Compiler

Compiled 87 to 58 computations (33.3% saved)

series53.0ms (0.3%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
35.0ms
alpha
@0
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.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 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
1.0ms
beta
@-inf
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
1.0ms
alpha
@-inf
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
1.0ms
alpha
@inf
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))

rewrite135.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01685
139779
2678579
Stop Event
node limit
Counts
4 → 181
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (/.f64 1 (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 beta) 2)) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 beta) -1) (/.f64 1 (neg.f64 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 beta) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 beta) 2)) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 beta) 2)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (-.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 1 beta) (+.f64 2 (+.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha)))) 1))))))

simplify253.0ms (1.3%)

Algorithm
egg-herbie
Rules
635×fma-def_binary64
584×associate-/l*_binary64
548×times-frac_binary64
414×associate-/r*_binary64
231×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092812060
1336211578
Stop Event
node limit
Counts
277 → 461
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))
(+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))))) (pow.f64 alpha 5)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 alpha (+.f64 beta 3))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 alpha (+.f64 beta 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (-.f64 alpha (+.f64 beta 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 3)) 3)) (+.f64 (*.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (-.f64 (*.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 3)) (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 3))) (*.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 3))))))
(/.f64 (-.f64 (*.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (*.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 3)) (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 3)))) (-.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 alpha (+.f64 beta 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 alpha (+.f64 beta 3))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) (+.f64 2 (+.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 2 (+.f64 beta alpha))) (-.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 2 (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3)))) 1))
(fma.f64 alpha (+.f64 2 (+.f64 beta alpha)) (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 3)))
(fma.f64 (+.f64 2 (+.f64 beta alpha)) alpha (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 3)))
(+.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) alpha))
(+.f64 (*.f64 alpha (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))))
(+.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) alpha) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha))))) 1)
(/.f64 1 (/.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta))))
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha))))
(/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) (-.f64 1 alpha)))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (neg.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta))) (neg.f64 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) 1) (*.f64 (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))))
(/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) 1) (*.f64 (-.f64 1 alpha) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 1 beta)) (*.f64 (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)) (+.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) (+.f64 1 beta)) (*.f64 (-.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 (neg.f64 beta) -1)) (*.f64 (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)) (neg.f64 (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) (+.f64 (neg.f64 beta) -1)) (*.f64 (-.f64 1 alpha) (neg.f64 (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 (pow.f64 alpha 3))) (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha))))
(/.f64 (*.f64 (+.f64 (neg.f64 beta) -1) (+.f64 1 (pow.f64 alpha 3))) (*.f64 (neg.f64 (+.f64 2 (+.f64 beta alpha))) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha))))
(/.f64 (*.f64 (+.f64 1 beta) (-.f64 1 (*.f64 alpha alpha))) (*.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 1 alpha)))
(/.f64 (*.f64 (+.f64 (neg.f64 beta) -1) (-.f64 1 (*.f64 alpha alpha))) (*.f64 (neg.f64 (+.f64 2 (+.f64 beta alpha))) (-.f64 1 alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) 1) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) (-.f64 1 alpha))
(/.f64 (*.f64 (+.f64 (neg.f64 beta) -1) (+.f64 1 alpha)) (neg.f64 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (neg.f64 beta) -1)) (neg.f64 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 alpha))
(pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha))) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha))) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (+.f64 1 alpha) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha)))))
(exp.f64 (+.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha))))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))))) 1)
(*.f64 1 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (+.f64 1 beta) (/.f64 1 (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 beta) 2)) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (+.f64 (neg.f64 beta) -1) (/.f64 1 (neg.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (+.f64 1 beta))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 beta) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 beta) 2)) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 beta) 2)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 2 (+.f64 beta 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 (/.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 2 (+.f64 beta alpha))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) 2)
(pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) -1)
(neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 (+.f64 2 (+.f64 beta alpha)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha)))) 1))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))))))
(+.f64 (/.f64 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 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)))) (/.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))))))
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1
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(*.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 alpha (+.f64 beta 2)))
(*.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 1) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(/.f64 (+.f64 beta 1) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (-.f64 alpha beta) -2)))
(pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 1)
(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 3) 1/3)
(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) 3)
(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) 2)
(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))
(pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 beta)) -1)
(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))
(neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 2))
(fabs.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 3))
(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3)))
(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (+.f64 2 (+.f64 beta alpha)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (+.f64 2 (+.f64 beta alpha)))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 beta (+.f64 beta 5))
0.4b
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
Compiler

Compiled 20 to 14 computations (30% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
beta
@0
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
0.0ms
beta
@-inf
(*.f64 beta (+.f64 beta 5))
0.0ms
beta
@inf
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
0.0ms
beta
@-inf
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
0.0ms
beta
@inf
(*.f64 beta (+.f64 beta 5))

rewrite89.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
774×pow1_binary64
727×add-log-exp_binary64
727×log1p-expm1-u_binary64
727×expm1-log1p-u_binary64
714×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115517
2199317
Stop Event
node limit
Counts
2 → 55
Calls
Call 1
Inputs
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(*.f64 beta (+.f64 beta 5))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 beta (+.f64 beta 5)))) (cbrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -2)) (/.f64 1 (cbrt.f64 (*.f64 beta (+.f64 beta 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -1/2) (pow.f64 (*.f64 beta (+.f64 beta 5)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 beta (neg.f64 (+.f64 beta 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 5) -1) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 5))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 5))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 5))) -1) (pow.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 5))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 beta) (+.f64 125 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 25 (*.f64 beta 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 beta) (fma.f64 beta beta -25)) (+.f64 beta -5))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 beta (+.f64 beta 5)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 beta (+.f64 beta 5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 beta (+.f64 beta 5)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta beta) (*.f64 beta 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta 5) (*.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta beta) 1) (*.f64 (*.f64 beta 5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 beta (+.f64 beta 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 beta (/.f64 1 (+.f64 beta 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta 5) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (+.f64 beta 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 5))) 2) (/.f64 1 (cbrt.f64 (*.f64 beta (+.f64 beta 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 5))) (pow.f64 (*.f64 beta (+.f64 beta 5)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (neg.f64 (+.f64 beta 5))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 beta 5) 3)) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 beta 5) (*.f64 beta 5)) (*.f64 (*.f64 beta beta) (*.f64 beta 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 beta 5) (*.f64 beta 5))) (-.f64 (*.f64 beta beta) (*.f64 beta 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 125 (pow.f64 beta 3)) beta) (fma.f64 beta beta (-.f64 25 (*.f64 beta 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -25) beta) (+.f64 beta -5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (+.f64 125 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 25 (*.f64 beta 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (fma.f64 beta beta -25)) (+.f64 beta -5))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 beta (+.f64 beta 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 5))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 beta) (+.f64 beta 5)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 5) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 5) 3) (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 beta (+.f64 beta 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 beta (+.f64 beta 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 beta (+.f64 beta 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta beta (*.f64 beta 5))))))

simplify50.0ms (0.3%)

Algorithm
egg-herbie
Rules
669×unswap-sqr_binary64
498×fma-def_binary64
471×associate-*l/_binary64
459×associate-/r*_binary64
452×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01631017
1458930
21702851
Stop Event
node limit
Counts
79 → 101
Calls
Call 1
Inputs
(/.f64 1/5 beta)
(-.f64 (*.f64 1/5 (/.f64 1 beta)) 1/25)
(-.f64 (+.f64 (*.f64 1/5 (/.f64 1 beta)) (*.f64 1/125 beta)) 1/25)
(-.f64 (+.f64 (*.f64 1/5 (/.f64 1 beta)) (+.f64 (*.f64 1/125 beta) (*.f64 -1/625 (pow.f64 beta 2)))) 1/25)
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 25 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 25 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 125 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 25 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 25 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 125 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(*.f64 5 beta)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(pow.f64 beta 2)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(pow.f64 beta 2)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) 1)
(*.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5))))
(*.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 beta (+.f64 beta 5)))) (cbrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -2)) (/.f64 1 (cbrt.f64 (*.f64 beta (+.f64 beta 5)))))
(*.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -1/2) (pow.f64 (*.f64 beta (+.f64 beta 5)) -1/2))
(*.f64 -1 (/.f64 1 (*.f64 beta (neg.f64 (+.f64 beta 5)))))
(*.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 5) -1))
(*.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 5)))
(*.f64 (pow.f64 (+.f64 beta 5) -1) (/.f64 1 beta))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 5))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 5))) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 5))) -1) (pow.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 5))) -1))
(*.f64 (/.f64 (/.f64 1 beta) (+.f64 125 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 25 (*.f64 beta 5))))
(*.f64 (/.f64 (/.f64 1 beta) (fma.f64 beta beta -25)) (+.f64 beta -5))
(pow.f64 (*.f64 beta (+.f64 beta 5)) -1)
(pow.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5))) 1)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 beta (+.f64 beta 5)))) 3)
(pow.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -1/2) 2)
(sqrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5)))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5)))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 beta (+.f64 beta 5)))))
(+.f64 (*.f64 beta beta) (*.f64 beta 5))
(+.f64 (*.f64 beta 5) (*.f64 beta beta))
(+.f64 (*.f64 (*.f64 beta beta) 1) (*.f64 (*.f64 beta 5) 1))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 beta 5))) 1)
(/.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5))))
(/.f64 beta (/.f64 1 (+.f64 beta 5)))
(/.f64 (+.f64 beta 5) (/.f64 1 beta))
(/.f64 (*.f64 beta (+.f64 beta 5)) 1)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 5))) 2) (/.f64 1 (cbrt.f64 (*.f64 beta (+.f64 beta 5)))))
(/.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 5))) (pow.f64 (*.f64 beta (+.f64 beta 5)) -1/2))
(/.f64 (*.f64 beta (neg.f64 (+.f64 beta 5))) -1)
(/.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 beta 5) 3)) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 beta 5) (*.f64 beta 5)) (*.f64 (*.f64 beta beta) (*.f64 beta 5)))))
(/.f64 (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 beta 5) (*.f64 beta 5))) (-.f64 (*.f64 beta beta) (*.f64 beta 5)))
(/.f64 (*.f64 (+.f64 125 (pow.f64 beta 3)) beta) (fma.f64 beta beta (-.f64 25 (*.f64 beta 5))))
(/.f64 (*.f64 (fma.f64 beta beta -25) beta) (+.f64 beta -5))
(/.f64 (*.f64 beta (+.f64 125 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 25 (*.f64 beta 5))))
(/.f64 (*.f64 beta (fma.f64 beta beta -25)) (+.f64 beta -5))
(pow.f64 (*.f64 beta (+.f64 beta 5)) 1)
(pow.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 5))) 3)
(pow.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 5))) 2)
(sqrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) 2))
(log.f64 (pow.f64 (exp.f64 beta) (+.f64 beta 5)))
(cbrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) 3))
(cbrt.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 5) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 5) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (*.f64 beta (+.f64 beta 5))))
(log1p.f64 (expm1.f64 (*.f64 beta (+.f64 beta 5))))
(exp.f64 (log.f64 (*.f64 beta (+.f64 beta 5))))
(fma.f64 beta beta (*.f64 beta 5))
Outputs
(/.f64 1/5 beta)
(-.f64 (*.f64 1/5 (/.f64 1 beta)) 1/25)
(+.f64 (/.f64 1/5 beta) -1/25)
(-.f64 (+.f64 (*.f64 1/5 (/.f64 1 beta)) (*.f64 1/125 beta)) 1/25)
(+.f64 (/.f64 1/5 beta) (-.f64 (*.f64 beta 1/125) 1/25))
(+.f64 (/.f64 1/5 beta) (fma.f64 beta 1/125 -1/25))
(-.f64 (+.f64 (*.f64 1/5 (/.f64 1 beta)) (+.f64 (*.f64 1/125 beta) (*.f64 -1/625 (pow.f64 beta 2)))) 1/25)
(+.f64 (/.f64 1/5 beta) (-.f64 (fma.f64 1/125 beta (*.f64 -1/625 (*.f64 beta beta))) 1/25))
(+.f64 (/.f64 1/5 beta) (+.f64 (*.f64 beta (*.f64 beta -1/625)) (fma.f64 beta 1/125 -1/25)))
(+.f64 (/.f64 1/5 beta) (fma.f64 beta (*.f64 beta -1/625) (fma.f64 beta 1/125 -1/25)))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 25 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 25 (pow.f64 beta 4)) (/.f64 5 (pow.f64 beta 3))))
(+.f64 (/.f64 25 (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 25 (pow.f64 beta 4)) (/.f64 -5 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 25 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 125 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 25 (pow.f64 beta 4))) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 125 (pow.f64 beta 5))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (-.f64 (/.f64 25 (pow.f64 beta 4)) (/.f64 125 (pow.f64 beta 5))) (/.f64 5 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 25 (pow.f64 beta 4)) (/.f64 125 (pow.f64 beta 5)))) (/.f64 5 (pow.f64 beta 3)))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 25 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 25 (pow.f64 beta 4)) (/.f64 5 (pow.f64 beta 3))))
(+.f64 (/.f64 25 (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 25 (pow.f64 beta 4)) (/.f64 -5 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 25 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 125 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 25 (pow.f64 beta 4))) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 125 (pow.f64 beta 5))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (-.f64 (/.f64 25 (pow.f64 beta 4)) (/.f64 125 (pow.f64 beta 5))) (/.f64 5 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 25 (pow.f64 beta 4)) (/.f64 125 (pow.f64 beta 5)))) (/.f64 5 (pow.f64 beta 3)))
(*.f64 5 beta)
(*.f64 beta 5)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(*.f64 beta (+.f64 beta 5))
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(*.f64 beta (+.f64 beta 5))
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(*.f64 beta (+.f64 beta 5))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(*.f64 beta (+.f64 beta 5))
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(*.f64 beta (+.f64 beta 5))
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(*.f64 beta (+.f64 beta 5))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(*.f64 beta (+.f64 beta 5))
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(*.f64 beta (+.f64 beta 5))
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(*.f64 beta (+.f64 beta 5))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) 1)
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(*.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5))))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(*.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5))) 1)
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 beta (+.f64 beta 5)))) (cbrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -2)) (cbrt.f64 (*.f64 beta (+.f64 beta 5))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -2)) (/.f64 1 (cbrt.f64 (*.f64 beta (+.f64 beta 5)))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 beta (+.f64 beta 5)))) (cbrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -2)) (cbrt.f64 (*.f64 beta (+.f64 beta 5))))
(*.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -1/2) (pow.f64 (*.f64 beta (+.f64 beta 5)) -1/2))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(*.f64 -1 (/.f64 1 (*.f64 beta (neg.f64 (+.f64 beta 5)))))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(*.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 5) -1))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(*.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 5)))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(*.f64 (pow.f64 (+.f64 beta 5) -1) (/.f64 1 beta))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 5))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 5))) -1))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 5))) -1) (pow.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 5))) -1))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(*.f64 (/.f64 (/.f64 1 beta) (+.f64 125 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 25 (*.f64 beta 5))))
(*.f64 (/.f64 1 (+.f64 (*.f64 125 beta) (pow.f64 beta 4))) (fma.f64 beta beta (-.f64 25 (*.f64 beta 5))))
(*.f64 (/.f64 1 (fma.f64 beta 125 (pow.f64 beta 4))) (fma.f64 beta beta (+.f64 25 (*.f64 beta -5))))
(/.f64 (fma.f64 beta beta (fma.f64 beta -5 25)) (fma.f64 beta 125 (pow.f64 beta 4)))
(*.f64 (/.f64 (/.f64 1 beta) (fma.f64 beta beta -25)) (+.f64 beta -5))
(*.f64 (/.f64 1 (*.f64 beta (fma.f64 beta beta -25))) (+.f64 beta -5))
(/.f64 (+.f64 beta -5) (*.f64 beta (fma.f64 beta beta -25)))
(pow.f64 (*.f64 beta (+.f64 beta 5)) -1)
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(pow.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5))) 1)
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(pow.f64 (pow.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5))) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 beta (+.f64 beta 5)))) 3)
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(pow.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -1/2) 2)
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(sqrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) -2))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5)))))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5))) 3))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5)))))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 beta (+.f64 beta 5)))))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(exp.f64 (neg.f64 (log.f64 (*.f64 beta (+.f64 beta 5)))))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5)))) -1)
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 -1 (*.f64 beta (-.f64 -5 beta)))
(+.f64 (*.f64 beta beta) (*.f64 beta 5))
(*.f64 beta (+.f64 beta 5))
(+.f64 (*.f64 beta 5) (*.f64 beta beta))
(*.f64 beta (+.f64 beta 5))
(+.f64 (*.f64 (*.f64 beta beta) 1) (*.f64 (*.f64 beta 5) 1))
(*.f64 beta (+.f64 beta 5))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 beta 5))) 1)
(*.f64 beta (+.f64 beta 5))
(/.f64 1 (/.f64 1 (*.f64 beta (+.f64 beta 5))))
(*.f64 beta (+.f64 beta 5))
(/.f64 beta (/.f64 1 (+.f64 beta 5)))
(*.f64 beta (+.f64 beta 5))
(/.f64 (+.f64 beta 5) (/.f64 1 beta))
(*.f64 beta (+.f64 beta 5))
(/.f64 (*.f64 beta (+.f64 beta 5)) 1)
(*.f64 beta (+.f64 beta 5))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 5))) 2) (/.f64 1 (cbrt.f64 (*.f64 beta (+.f64 beta 5)))))
(*.f64 beta (+.f64 beta 5))
(/.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 5))) (pow.f64 (*.f64 beta (+.f64 beta 5)) -1/2))
(/.f64 (*.f64 beta (neg.f64 (+.f64 beta 5))) -1)
(*.f64 beta (+.f64 beta 5))
(/.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 beta 5) 3)) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 beta 5) (*.f64 beta 5)) (*.f64 (*.f64 beta beta) (*.f64 beta 5)))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (*.f64 (pow.f64 beta 3) 125)) (+.f64 (pow.f64 beta 4) (-.f64 (*.f64 (*.f64 beta beta) 25) (*.f64 (pow.f64 beta 3) 5))))
(/.f64 (fma.f64 (pow.f64 beta 3) 125 (pow.f64 beta 6)) (fma.f64 (*.f64 beta 5) (*.f64 beta (-.f64 5 beta)) (pow.f64 beta 4)))
(/.f64 (fma.f64 (pow.f64 beta 3) 125 (pow.f64 beta 6)) (fma.f64 beta (*.f64 beta (fma.f64 beta -5 25)) (pow.f64 beta 4)))
(/.f64 (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 beta 5) (*.f64 beta 5))) (-.f64 (*.f64 beta beta) (*.f64 beta 5)))
(*.f64 beta (+.f64 beta 5))
(/.f64 (*.f64 (+.f64 125 (pow.f64 beta 3)) beta) (fma.f64 beta beta (-.f64 25 (*.f64 beta 5))))
(/.f64 beta (/.f64 (fma.f64 beta beta (-.f64 25 (*.f64 beta 5))) (+.f64 (pow.f64 beta 3) 125)))
(/.f64 (fma.f64 beta 125 (pow.f64 beta 4)) (fma.f64 beta beta (+.f64 25 (*.f64 beta -5))))
(/.f64 (fma.f64 beta 125 (pow.f64 beta 4)) (fma.f64 beta beta (fma.f64 beta -5 25)))
(/.f64 (*.f64 (fma.f64 beta beta -25) beta) (+.f64 beta -5))
(/.f64 beta (/.f64 (+.f64 beta -5) (fma.f64 beta beta -25)))
(*.f64 (/.f64 beta (+.f64 beta -5)) (fma.f64 beta beta -25))
(/.f64 (*.f64 beta (+.f64 125 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 25 (*.f64 beta 5))))
(/.f64 beta (/.f64 (fma.f64 beta beta (-.f64 25 (*.f64 beta 5))) (+.f64 (pow.f64 beta 3) 125)))
(/.f64 (fma.f64 beta 125 (pow.f64 beta 4)) (fma.f64 beta beta (+.f64 25 (*.f64 beta -5))))
(/.f64 (fma.f64 beta 125 (pow.f64 beta 4)) (fma.f64 beta beta (fma.f64 beta -5 25)))
(/.f64 (*.f64 beta (fma.f64 beta beta -25)) (+.f64 beta -5))
(/.f64 beta (/.f64 (+.f64 beta -5) (fma.f64 beta beta -25)))
(*.f64 (/.f64 beta (+.f64 beta -5)) (fma.f64 beta beta -25))
(pow.f64 (*.f64 beta (+.f64 beta 5)) 1)
(*.f64 beta (+.f64 beta 5))
(pow.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) 3) 1/3)
(*.f64 beta (+.f64 beta 5))
(pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 5))) 3)
(*.f64 beta (+.f64 beta 5))
(pow.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 5))) 2)
(*.f64 beta (+.f64 beta 5))
(sqrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) 2))
(*.f64 beta (+.f64 beta 5))
(log.f64 (pow.f64 (exp.f64 beta) (+.f64 beta 5)))
(*.f64 beta (+.f64 beta 5))
(cbrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 5)) 3))
(*.f64 beta (+.f64 beta 5))
(cbrt.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 5) 3)))
(*.f64 beta (+.f64 beta 5))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 5) 3) (pow.f64 beta 3)))
(*.f64 beta (+.f64 beta 5))
(expm1.f64 (log1p.f64 (*.f64 beta (+.f64 beta 5))))
(*.f64 beta (+.f64 beta 5))
(log1p.f64 (expm1.f64 (*.f64 beta (+.f64 beta 5))))
(*.f64 beta (+.f64 beta 5))
(exp.f64 (log.f64 (*.f64 beta (+.f64 beta 5))))
(*.f64 beta (+.f64 beta 5))
(fma.f64 beta beta (*.f64 beta 5))
(*.f64 beta (+.f64 beta 5))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 37 to 24 computations (35.1% saved)

series22.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
17.0ms
alpha
@-inf
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
1.0ms
beta
@-inf
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
1.0ms
alpha
@-inf
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) beta)
1.0ms
alpha
@0
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) beta)
1.0ms
beta
@-inf
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) beta)

rewrite100.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
836×prod-diff_binary64
624×log-prod_binary64
345×fma-def_binary64
260×log-div_binary64
228×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
124429
2381329
Stop Event
node limit
Counts
2 → 165
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) beta)
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) beta))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) beta))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) beta)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (*.f64 beta (-.f64 -2 (+.f64 alpha beta)))) (/.f64 alpha (*.f64 beta (-.f64 -2 (+.f64 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(+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 alpha) 3) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) (cbrt.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 (pow.f64 (-.f64 -2 alpha) 3) (pow.f64 beta 3))) (fma.f64 beta (-.f64 -2 (-.f64 alpha beta)) (pow.f64 (-.f64 -2 alpha) 2)) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 (pow.f64 (-.f64 -2 alpha) 2) (*.f64 beta beta))) (-.f64 -2 (-.f64 alpha beta)) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))))))

simplify217.0ms (1.1%)

Algorithm
egg-herbie
Rules
295×fma-neg_binary64
287×+-commutative_binary64
265×associate-+r+_binary64
225×associate-+l+_binary64
220×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063410878
117448639
264568637
Stop Event
node limit
Counts
213 → 364
Calls
Call 1
Inputs
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2))))))
(/.f64 1 beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta alpha))) (+.f64 (/.f64 2 (*.f64 beta alpha)) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 2))))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 beta alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 beta alpha))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 beta alpha)))))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 2 alpha))) (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 2 alpha))) (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 5))) (/.f64 alpha (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 5))) (/.f64 alpha (pow.f64 beta 2))))))
(/.f64 1 (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) alpha)) 1)
(+.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) alpha)) 1))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) alpha)) 1)))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 -1 (+.f64 beta 2)) 1)) (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.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 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.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 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))))
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(fma.f64 -1 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))
(fma.f64 1 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) (cbrt.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))
(fma.f64 (sqrt.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))
(fma.f64 (/.f64 -1 (-.f64 (pow.f64 (-.f64 -2 alpha) 3) (pow.f64 beta 3))) (fma.f64 beta (-.f64 -2 (-.f64 alpha beta)) (pow.f64 (-.f64 -2 alpha) 2)) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))
(fma.f64 (/.f64 -1 (-.f64 (pow.f64 (-.f64 -2 alpha) 2) (*.f64 beta beta))) (-.f64 -2 (-.f64 alpha beta)) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))
Outputs
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.f64 (/.f64 1 beta) (+.f64 beta 2))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2))))
(fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 2)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2))) alpha (/.f64 (/.f64 1 beta) (+.f64 beta 2)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2)))))
(fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha alpha) (fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 2)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2))) alpha (/.f64 (/.f64 1 beta) (+.f64 beta 2))))
(fma.f64 (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 2)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2))) alpha (/.f64 (/.f64 1 beta) (+.f64 beta 2))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 beta (+.f64 beta 2))))))
(fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3) (fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha alpha) (fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 2)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2))) alpha (/.f64 (/.f64 1 beta) (+.f64 beta 2)))))
(fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 2)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2))) alpha (/.f64 (/.f64 1 beta) (+.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta alpha))) (+.f64 (/.f64 2 (*.f64 beta alpha)) (/.f64 1 alpha)))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (/.f64 2 (*.f64 beta alpha)) (/.f64 1 alpha))))
(+.f64 (/.f64 1 beta) (-.f64 (-.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 2 (*.f64 beta alpha))) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))
(+.f64 (/.f64 1 beta) (-.f64 (neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (*.f64 alpha alpha) (-.f64 (/.f64 1 beta) (+.f64 1 (/.f64 2 beta)))))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha))))
(-.f64 (-.f64 (/.f64 1 beta) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 (+.f64 (/.f64 1 beta) -1) (/.f64 2 beta)) alpha))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 2))))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))
(+.f64 (/.f64 1 beta) (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (*.f64 alpha alpha) (-.f64 (/.f64 1 beta) (+.f64 1 (/.f64 2 beta)))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (pow.f64 alpha 3) (-.f64 (/.f64 1 beta) (+.f64 1 (/.f64 2 beta)))))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha))))
(+.f64 (/.f64 1 beta) (-.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 beta) -1) (/.f64 2 beta))) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 (+.f64 (/.f64 1 beta) -1) (/.f64 2 beta)) alpha))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha))))
(+.f64 (/.f64 1 beta) (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 beta) -1) (/.f64 2 beta)) (/.f64 (fma.f64 beta -1 -2) (/.f64 alpha (/.f64 (-.f64 (+.f64 (/.f64 1 beta) -1) (/.f64 2 beta)) alpha)))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 beta alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 (+.f64 (neg.f64 beta) -2) (*.f64 beta alpha))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 (+.f64 beta 2) (*.f64 beta alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 beta alpha))))))
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 beta) (/.f64 (+.f64 (neg.f64 beta) -2) beta)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 (+.f64 (neg.f64 beta) -2) (*.f64 beta alpha)))))
(+.f64 (/.f64 1 beta) (-.f64 (-.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 (+.f64 beta 2) (*.f64 beta alpha))) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 (/.f64 1 beta) (/.f64 (+.f64 beta 2) beta)) alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 beta alpha)))))))
(+.f64 (/.f64 1 beta) (+.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 beta) (/.f64 (+.f64 (neg.f64 beta) -2) beta)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 (+.f64 (neg.f64 beta) -2) (*.f64 beta alpha)))) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 (+.f64 (neg.f64 beta) -2) beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (-.f64 (-.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 (+.f64 beta 2) (*.f64 beta alpha))) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 (/.f64 1 beta) (/.f64 (+.f64 beta 2) beta)) alpha))) (+.f64 (/.f64 1 beta) (*.f64 (/.f64 (-.f64 (/.f64 1 beta) (/.f64 (+.f64 beta 2) beta)) (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1 beta) (/.f64 (+.f64 beta 2) beta)) (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (/.f64 (*.f64 (fma.f64 beta -1 -2) (-.f64 (/.f64 1 beta) (/.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha))) (+.f64 (/.f64 1 beta) (-.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 (+.f64 beta 2) (*.f64 beta alpha)))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))))
(fma.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 beta) (+.f64 2 alpha)) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 2 alpha))) (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)))))
(fma.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))) (/.f64 beta (/.f64 (+.f64 2 alpha) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 beta) (+.f64 2 alpha)) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 2 alpha))) (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha))))))
(fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))) (/.f64 beta (/.f64 (+.f64 2 alpha) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))))
(-.f64 (+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 beta) (+.f64 2 alpha)) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (*.f64 beta beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (/.f64 alpha (pow.f64 beta 2)))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha)))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 4)) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 5))) (/.f64 alpha (pow.f64 beta 2))))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4))) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 alpha (*.f64 beta beta)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (-.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 4)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 5)) (pow.f64 (+.f64 2 alpha) 3))))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (/.f64 alpha (pow.f64 beta 2)))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha)))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 4)) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 5))) (/.f64 alpha (pow.f64 beta 2))))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4))) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 alpha (*.f64 beta beta)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (-.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 4)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 5)) (pow.f64 (+.f64 2 alpha) 3))))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))))
(/.f64 1 (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2)))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha alpha) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
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(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha))))
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(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) 1)
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(*.f64 1 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (*.f64 (cbrt.f64 (-.f64 -1 alpha)) (/.f64 1 (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (sqrt.f64 (-.f64 -1 alpha)) (*.f64 (sqrt.f64 (-.f64 -1 alpha)) (/.f64 1 (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (neg.f64 (-.f64 -1 alpha)) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 alpha)) -1) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (neg.f64 (+.f64 1 alpha)) (-.f64 -2 (+.f64 beta alpha)))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 alpha))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (/.f64 (-.f64 -1 alpha) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) 2)) (/.f64 (-.f64 -1 alpha) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (/.f64 (-.f64 -1 alpha) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) 2))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (/.f64 (-.f64 -1 alpha) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (/.f64 (-.f64 -1 alpha) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (/.f64 (-.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) 1) (/.f64 (cbrt.f64 (-.f64 -1 alpha)) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 alpha)) 1) (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) 2)) (/.f64 (-.f64 -1 alpha) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (/.f64 (-.f64 -1 alpha) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (-.f64 -1 alpha)) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (/.f64 (-.f64 -1 alpha) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (/.f64 (-.f64 -1 alpha) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (pow.f64 (-.f64 -2 alpha) 3) (pow.f64 beta 3))) (fma.f64 beta (-.f64 -2 (-.f64 alpha beta)) (pow.f64 (-.f64 -2 alpha) 2)))
(*.f64 (fma.f64 beta (+.f64 (-.f64 -2 alpha) beta) (pow.f64 (-.f64 -2 alpha) 2)) (/.f64 (-.f64 -1 alpha) (-.f64 (pow.f64 (-.f64 -2 alpha) 3) (pow.f64 beta 3))))
(*.f64 (fma.f64 beta (+.f64 beta (-.f64 -2 alpha)) (pow.f64 (-.f64 -2 alpha) 2)) (/.f64 (-.f64 -1 alpha) (-.f64 (pow.f64 (-.f64 -2 alpha) 3) (pow.f64 beta 3))))
(*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (pow.f64 (-.f64 -2 alpha) 2) (*.f64 beta beta))) (-.f64 -2 (-.f64 alpha beta)))
(*.f64 (+.f64 (-.f64 -2 alpha) beta) (/.f64 (-.f64 -1 alpha) (-.f64 (pow.f64 (-.f64 -2 alpha) 2) (*.f64 beta beta))))
(*.f64 (+.f64 beta (-.f64 -2 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 (pow.f64 (-.f64 -2 alpha) 2) (*.f64 beta beta))))
(pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) 1)
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) 3) 1/3)
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) 3)
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) 2)
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 alpha)) -1)
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(neg.f64 (/.f64 (-.f64 -1 alpha) (neg.f64 (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha))) 2))
(fabs.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) 3))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 alpha) 3) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3)))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) 1))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(fma.f64 -1 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(fma.f64 1 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) (cbrt.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(fma.f64 (sqrt.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
(fma.f64 (/.f64 -1 (-.f64 (pow.f64 (-.f64 -2 alpha) 3) (pow.f64 beta 3))) (fma.f64 beta (-.f64 -2 (-.f64 alpha beta)) (pow.f64 (-.f64 -2 alpha) 2)) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))
(fma.f64 (/.f64 -1 (-.f64 (pow.f64 (-.f64 -2 alpha) 3) (pow.f64 beta 3))) (fma.f64 beta (+.f64 (-.f64 -2 alpha) beta) (pow.f64 (-.f64 -2 alpha) 2)) (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 beta alpha))))
(-.f64 (/.f64 (neg.f64 (fma.f64 beta (+.f64 beta (-.f64 -2 alpha)) (pow.f64 (-.f64 -2 alpha) 2))) (-.f64 (pow.f64 (-.f64 -2 alpha) 3) (pow.f64 beta 3))) (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))))
(fma.f64 (/.f64 -1 (-.f64 (pow.f64 (-.f64 -2 alpha) 2) (*.f64 beta beta))) (-.f64 -2 (-.f64 alpha beta)) (neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))
(fma.f64 (/.f64 -1 (-.f64 (pow.f64 (-.f64 -2 alpha) 2) (*.f64 beta beta))) (+.f64 (-.f64 -2 alpha) beta) (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 beta alpha))))
(-.f64 (/.f64 (+.f64 2 (-.f64 alpha beta)) (-.f64 (pow.f64 (-.f64 -2 alpha) 2) (*.f64 beta beta))) (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 81 to 55 computations (32.1% saved)

series21.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
9.0ms
alpha
@inf
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
3.0ms
alpha
@0
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
2.0ms
alpha
@-inf
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
2.0ms
beta
@0
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
2.0ms
beta
@-inf
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))

rewrite141.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
371×fma-neg_binary64
357×expm1-udef_binary64
357×log1p-udef_binary64
208×add-sqr-sqrt_binary64
202×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01638
139938
2651138
Stop Event
node limit
Counts
2 → 99
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
Outputs
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simplify131.0ms (0.7%)

Algorithm
egg-herbie
Rules
524×distribute-rgt-in_binary64
507×distribute-lft-in_binary64
408×times-frac_binary64
339×associate-/l*_binary64
337×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04975256
117824934
Stop Event
node limit
Counts
135 → 203
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/4 alpha))
(+.f64 1/2 (+.f64 (*.f64 1/4 alpha) (*.f64 -1/8 (pow.f64 alpha 2))))
(+.f64 1/2 (+.f64 (*.f64 1/4 alpha) (+.f64 (*.f64 -1/8 (pow.f64 alpha 2)) (*.f64 1/16 (pow.f64 alpha 3)))))
1
(-.f64 1 (/.f64 1 alpha))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 alpha))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)))
1
(-.f64 1 (/.f64 1 alpha))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 alpha))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (*.f64 alpha (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
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(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) (/.f64 1 (+.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 1))
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha 2) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (/.f64 (+.f64 alpha 2) (+.f64 1 alpha)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))))
(/.f64 -1 (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 1 alpha)) (neg.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))
(/.f64 -1 (*.f64 (neg.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (/.f64 (+.f64 alpha 2) (+.f64 1 alpha))))
(/.f64 (+.f64 -1 (neg.f64 alpha)) (neg.f64 (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))
(/.f64 (+.f64 -1 (neg.f64 alpha)) (*.f64 (neg.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (+.f64 alpha 2)))
(/.f64 (+.f64 -1 (neg.f64 alpha)) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) (+.f64 (neg.f64 alpha) -2)))
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (+.f64 alpha 2))
(/.f64 (neg.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (neg.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (+.f64 (neg.f64 alpha) -2))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) 1) (*.f64 (+.f64 (neg.f64 alpha) -2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (*.f64 (+.f64 1 alpha) -1) (*.f64 (+.f64 alpha 2) (neg.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) -1) (*.f64 (+.f64 (neg.f64 alpha) -2) (neg.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 (neg.f64 alpha) -2) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 1) (*.f64 (+.f64 alpha (+.f64 3 beta)) (/.f64 (+.f64 alpha 2) (+.f64 1 alpha))))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))
(/.f64 (*.f64 -1 (+.f64 -1 (neg.f64 alpha))) (*.f64 (neg.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (+.f64 (neg.f64 alpha) -2)))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (neg.f64 alpha))) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 (neg.f64 alpha) -2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 2)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 1) (+.f64 alpha 2))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 2))) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (+.f64 (neg.f64 alpha) -2))
(/.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (neg.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) -1) (neg.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (+.f64 -1 (neg.f64 alpha))) (+.f64 (neg.f64 alpha) -2))
(pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3) (pow.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 3) (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))) 1))
Outputs
1/2
(+.f64 1/2 (*.f64 1/4 alpha))
(fma.f64 1/4 alpha 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/4 alpha) (*.f64 -1/8 (pow.f64 alpha 2))))
(+.f64 1/2 (fma.f64 1/4 alpha (*.f64 -1/8 (*.f64 alpha alpha))))
(+.f64 (fma.f64 1/4 alpha 1/2) (*.f64 alpha (*.f64 alpha -1/8)))
(+.f64 1/2 (+.f64 (*.f64 1/4 alpha) (+.f64 (*.f64 -1/8 (pow.f64 alpha 2)) (*.f64 1/16 (pow.f64 alpha 3)))))
(+.f64 1/2 (fma.f64 1/4 alpha (fma.f64 -1/8 (*.f64 alpha alpha) (*.f64 1/16 (pow.f64 alpha 3)))))
(+.f64 (fma.f64 1/4 alpha 1/2) (fma.f64 -1/8 (*.f64 alpha alpha) (*.f64 1/16 (pow.f64 alpha 3))))
1
(-.f64 1 (/.f64 1 alpha))
(+.f64 1 (/.f64 -1 alpha))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 alpha))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 1 alpha)))
(+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 1 (/.f64 -1 alpha)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 4 (pow.f64 alpha 3)))))
1
(-.f64 1 (/.f64 1 alpha))
(+.f64 1 (/.f64 -1 alpha))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 alpha))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 1 alpha)))
(+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 1 (/.f64 -1 alpha)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 4 (pow.f64 alpha 3)))))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1/2 (*.f64 (+.f64 3 beta) (+.f64 2 beta)))
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
(+.f64 (*.f64 alpha (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(fma.f64 alpha (-.f64 (/.f64 1/2 (*.f64 (+.f64 3 beta) (+.f64 2 beta))) (*.f64 1/4 (/.f64 (fma.f64 (+.f64 3 beta) (+.f64 2 beta) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 (+.f64 2 beta) 2))))) (/.f64 1/2 (*.f64 (+.f64 3 beta) (+.f64 2 beta))))
(fma.f64 alpha (+.f64 (/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta)) (/.f64 (*.f64 -1/4 (fma.f64 (+.f64 3 beta) (+.f64 2 beta) (+.f64 10 (*.f64 4 beta)))) (*.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta)))
(+.f64 (*.f64 alpha (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 beta)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)))))
(+.f64 (fma.f64 alpha (-.f64 (/.f64 1/2 (*.f64 (+.f64 3 beta) (+.f64 2 beta))) (*.f64 1/4 (/.f64 (fma.f64 (+.f64 3 beta) (+.f64 2 beta) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 (+.f64 2 beta) 2))))) (/.f64 1/2 (*.f64 (+.f64 3 beta) (+.f64 2 beta)))) (neg.f64 (*.f64 (*.f64 alpha alpha) (fma.f64 1/2 (/.f64 (*.f64 (fma.f64 (+.f64 3 beta) (+.f64 2 beta) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (-.f64 (/.f64 1/2 (*.f64 (+.f64 3 beta) (+.f64 2 beta))) (*.f64 1/4 (/.f64 (fma.f64 (+.f64 3 beta) (+.f64 2 beta) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 (+.f64 2 beta) 2)))))) (*.f64 (+.f64 3 beta) (+.f64 2 beta))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 beta) 7) (*.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 (+.f64 2 beta) 2))))))))
(-.f64 (fma.f64 alpha (+.f64 (/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta)) (/.f64 (*.f64 -1/4 (fma.f64 (+.f64 3 beta) (+.f64 2 beta) (+.f64 10 (*.f64 4 beta)))) (*.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))) (*.f64 (*.f64 alpha alpha) (fma.f64 1/2 (*.f64 (/.f64 (fma.f64 (+.f64 3 beta) (+.f64 2 beta) (+.f64 10 (*.f64 4 beta))) (*.f64 (+.f64 3 beta) (+.f64 2 beta))) (+.f64 (/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta)) (/.f64 (*.f64 -1/4 (fma.f64 (+.f64 3 beta) (+.f64 2 beta) (+.f64 10 (*.f64 4 beta)))) (*.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 (+.f64 2 beta) 2))))) (*.f64 1/4 (/.f64 (/.f64 (fma.f64 2 beta 7) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 3 beta) 2))))))
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(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 2)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 1) (+.f64 alpha 2))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 2))) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (*.f64 (cbrt.f64 (+.f64 alpha 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (+.f64 (neg.f64 alpha) -2))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (neg.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) -1) (neg.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (+.f64 -1 (neg.f64 alpha))) (+.f64 (neg.f64 alpha) -2))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 1)
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 3) 1/3)
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))) 3)
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))) 2)
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 2))
(fabs.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 3))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 3)))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3) (pow.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 3)))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 3) (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3)))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))

eval1.9s (9.4%)

Compiler

Compiled 58825 to 41393 computations (29.6% saved)

prune427.0ms (2.1%)

Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New1335101345
Fresh71724
Picked101
Done156
Total1344321376
Error
0b
Counts
1376 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(pow.f64 beta -2)
28.3b
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) beta)
24.1b
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
28.3b
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -2 (+.f64 beta alpha)))
32.3b
(/.f64 (/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
4.6b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
4.7b
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
41.7b
(/.f64 (/.f64 alpha beta) beta)
27.3b
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
15.2b
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))))
31.9b
(/.f64 (/.f64 1 beta) beta)
15.9b
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
35.3b
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
15.2b
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha 2) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))
30.0b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
25.5b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
30.2b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.1b
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
28.2b
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) beta)) (+.f64 beta (+.f64 alpha 3)))
28.4b
(/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
1.7b
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
43.1b
(/.f64 alpha (*.f64 beta beta))
31.5b
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
32.1b
(/.f64 1 (*.f64 beta beta))
60.1b
(/.f64 1/5 beta)
31.4b
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
30.2b
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
58.0b
(+.f64 (*.f64 -5/36 beta) 1/6)
1.8b
(*.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))))
33.2b
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
29.7b
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
57.2b
1/6
Compiler

Compiled 482 to 344 computations (28.6% saved)

regimes122.0ms (0.6%)

Counts
63 → 1
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) beta)
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.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 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) beta)) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha 2) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 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) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(*.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))))
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 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 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.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))))
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (/.f64 (+.f64 (+.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 1 beta) (+.f64 (+.f64 1 alpha) (/.f64 alpha beta))) (/.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(pow.f64 beta -2)
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 (+.f64 3 beta) (+.f64 2 beta) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 5 (*.f64 2 beta)))))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 beta alpha 1))) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2))
(/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
Outputs
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
Calls

4 calls:

33.0ms
alpha
30.0ms
beta
17.0ms
(/.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))
17.0ms
(/.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))
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 1106 to 712 computations (35.6% saved)

regimes162.0ms (0.8%)

Counts
51 → 2
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) beta)
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.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 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) beta)) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha 2) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 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) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(*.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))))
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 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 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
Calls

2 calls:

91.0ms
alpha
53.0ms
beta
Results
ErrorSegmentsBranch
0.4b2alpha
0.2b2beta
Compiler

Compiled 715 to 460 computations (35.7% saved)

bsearch29.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
4.012695458406393e+138
2.3497580896293203e+144
Results
28.0ms16×body256valid
Compiler

Compiled 96 to 67 computations (30.2% saved)

regimes140.0ms (0.7%)

Counts
49 → 2
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) beta)
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.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 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) beta)) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha 2) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 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) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(*.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))))
Outputs
(*.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))))
(/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
Calls

2 calls:

69.0ms
alpha
55.0ms
beta
Results
ErrorSegmentsBranch
0.4b2alpha
0.2b2beta
Compiler

Compiled 665 to 427 computations (35.8% saved)

bsearch6.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
5.0ms
4.012695458406393e+138
2.3497580896293203e+144
Results
5.0ms32×body256valid
Compiler

Compiled 150 to 106 computations (29.3% saved)

regimes170.0ms (0.8%)

Counts
48 → 2
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) beta)
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.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 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) beta)) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha 2) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 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) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
Calls

2 calls:

80.0ms
alpha
75.0ms
beta
Results
ErrorSegmentsBranch
1.2b2alpha
1.0b2beta
Compiler

Compiled 640 to 410 computations (35.9% saved)

bsearch29.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
0.0013909740451071163
1374.0861969617713
Results
25.0ms144×body256valid
Compiler

Compiled 456 to 334 computations (26.8% saved)

regimes130.0ms (0.6%)

Counts
46 → 2
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) beta)
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.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 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) beta)) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha 2) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 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) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
Outputs
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
Calls

2 calls:

71.0ms
beta
44.0ms
alpha
Results
ErrorSegmentsBranch
1.4b2alpha
1.3b2beta
Compiler

Compiled 594 to 381 computations (35.9% saved)

bsearch1.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
0.0ms
6323766673344026.0
6355270966826842.0
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes170.0ms (0.9%)

Counts
34 → 2
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) beta)
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.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 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:

93.0ms
alpha
67.0ms
beta
Results
ErrorSegmentsBranch
11.8b2alpha
1.5b2beta
Compiler

Compiled 346 to 220 computations (36.4% saved)

bsearch27.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
0.0013909740451071163
1374.0861969617713
Results
24.0ms144×body256valid
Compiler

Compiled 384 to 271 computations (29.4% saved)

regimes143.0ms (0.7%)

Counts
33 → 2
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) beta)
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.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)))
Outputs
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.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:

67.0ms
alpha
65.0ms
beta
Results
ErrorSegmentsBranch
11.8b2alpha
1.5b2beta
Compiler

Compiled 329 to 208 computations (36.8% saved)

bsearch44.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
43.0ms
0.0013909740451071163
1374.0861969617713
Results
39.0ms144×body256valid
Compiler

Compiled 384 to 280 computations (27.1% saved)

regimes131.0ms (0.7%)

Counts
30 → 2
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) beta)
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))
Outputs
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha)))
Calls

2 calls:

66.0ms
beta
52.0ms
alpha
Results
ErrorSegmentsBranch
11.8b2alpha
2.3b2beta
Compiler

Compiled 278 to 175 computations (37.1% saved)

bsearch26.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
0.0013909740451071163
1374.0861969617713
Results
23.0ms144×body256valid
Compiler

Compiled 312 to 226 computations (27.6% saved)

regimes112.0ms (0.6%)

Counts
28 → 2
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) beta)
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
Outputs
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
Calls

2 calls:

58.0ms
beta
47.0ms
alpha
Results
ErrorSegmentsBranch
11.9b2alpha
2.3b2beta
Compiler

Compiled 246 to 155 computations (37% saved)

bsearch26.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
0.0013909740451071163
1374.0861969617713
Results
23.0ms144×body256valid
Compiler

Compiled 312 to 244 computations (21.8% saved)

regimes115.0ms (0.6%)

Counts
27 → 2
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) beta)
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))
Outputs
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3))
Calls

2 calls:

37.0ms
beta
28.0ms
alpha
Results
ErrorSegmentsBranch
11.9b2alpha
2.3b2beta
Compiler

Compiled 231 to 145 computations (37.2% saved)

bsearch25.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
0.0013909740451071163
1374.0861969617713
Results
22.0ms144×body256valid
Compiler

Compiled 276 to 208 computations (24.6% saved)

regimes103.0ms (0.5%)

Counts
19 → 3
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
Outputs
(/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
Calls

2 calls:

69.0ms
alpha
29.0ms
beta
Results
ErrorSegmentsBranch
12.0b3alpha
2.5b3beta
Compiler

Compiled 133 to 83 computations (37.6% saved)

bsearch46.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
1.3172031070182645e+154
2.1801102060869214e+157
25.0ms
0.0013909740451071163
1374.0861969617713
Results
42.0ms272×body256valid
Compiler

Compiled 384 to 277 computations (27.9% saved)

regimes48.0ms (0.2%)

Counts
14 → 3
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
Outputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
Calls

2 calls:

25.0ms
beta
20.0ms
alpha
Results
ErrorSegmentsBranch
24.9b2alpha
24.2b3beta
Compiler

Compiled 82 to 52 computations (36.6% saved)

bsearch44.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
1.3172031070182645e+154
2.1801102060869214e+157
23.0ms
6355270966826842.0
1.6944001535859346e+22
Results
39.0ms272×body256valid
Compiler

Compiled 384 to 277 computations (27.9% saved)

regimes71.0ms (0.4%)

Counts
13 → 3
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 5)) 0)
Outputs
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
Calls

2 calls:

46.0ms
alpha
22.0ms
beta
Results
ErrorSegmentsBranch
28.9b2alpha
24.3b3beta
Compiler

Compiled 73 to 45 computations (38.4% saved)

bsearch38.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
14.0ms
1.3172031070182645e+154
2.1801102060869214e+157
24.0ms
0.0013909740451071163
1374.0861969617713
Results
34.0ms224×body256valid
Compiler

Compiled 294 to 214 computations (27.2% saved)

regimes33.0ms (0.2%)

Counts
10 → 3
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
Outputs
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (/.f64 alpha beta) beta)
Calls

2 calls:

18.0ms
beta
13.0ms
alpha
Results
ErrorSegmentsBranch
29.0b2alpha
26.1b3beta
Compiler

Compiled 50 to 31 computations (38% saved)

bsearch67.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
1.3172031070182645e+154
2.1801102060869214e+157
45.0ms
0.0013909740451071163
1374.0861969617713
Results
63.0ms272×body256valid
Compiler

Compiled 348 to 267 computations (23.3% saved)

regimes147.0ms (0.7%)

Counts
9 → 3
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
Outputs
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
Calls

2 calls:

73.0ms
beta
71.0ms
alpha
Results
ErrorSegmentsBranch
29.5b2alpha
26.2b3beta
Compiler

Compiled 43 to 26 computations (39.5% saved)

bsearch44.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
1.3172031070182645e+154
2.1801102060869214e+157
24.0ms
0.0013909740451071163
1374.0861969617713
Results
39.0ms272×body256valid
Compiler

Compiled 314 to 233 computations (25.8% saved)

regimes75.0ms (0.4%)

Counts
8 → 2
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
Outputs
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 (/.f64 1 beta) beta)
Calls

2 calls:

55.0ms
beta
18.0ms
alpha
Results
ErrorSegmentsBranch
30.8b2alpha
27.4b2beta
Compiler

Compiled 38 to 24 computations (36.8% saved)

bsearch34.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
0.0013909740451071163
1374.0861969617713
Results
31.0ms144×body256valid
Compiler

Compiled 186 to 145 computations (22% saved)

regimes54.0ms (0.3%)

Counts
7 → 2
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
Outputs
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))
Calls

2 calls:

42.0ms
alpha
9.0ms
beta
Results
ErrorSegmentsBranch
30.9b2alpha
27.5b2beta
Compiler

Compiled 33 to 21 computations (36.4% saved)

bsearch27.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
0.0013909740451071163
1374.0861969617713
Results
21.0ms144×body256valid
Compiler

Compiled 186 to 145 computations (22% saved)

regimes20.0ms (0.1%)

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

2 calls:

14.0ms
beta
4.0ms
alpha
Results
ErrorSegmentsBranch
57.2b1alpha
56.0b2beta
Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch43.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
43.0ms
0.0013909740451071163
1374.0861969617713
Results
40.0ms144×body256valid
Compiler

Compiled 168 to 136 computations (19% saved)

regimes23.0ms (0.1%)

Accuracy

Total -6.5b remaining (-11.6%)

Threshold costs -6.5b (-11.6%)

Counts
4 → 2
Calls
Call 1
Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
Outputs
1/6
(/.f64 1/5 beta)
Calls

2 calls:

13.0ms
beta
9.0ms
alpha
Results
ErrorSegmentsBranch
57.2b1alpha
56.0b2beta
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch44.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
43.0ms
0.0013909740451071163
1374.0861969617713
Results
39.0ms144×body256valid
Compiler

Compiled 132 to 109 computations (17.4% saved)

simplify53.0ms (0.3%)

Algorithm
egg-herbie
Rules
22×+-commutative_binary64
16×*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147790
1190790
2199790
3207790
4211790
5212790
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(if (<=.f64 beta 5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200) (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200) (*.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)))) (/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 6980579422424269/2251799813685248) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2)))) (/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 6350000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha))))
(if (<=.f64 beta 4447304632028365/562949953421312) (/.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 2871044762448691/562949953421312) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.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 4278419646001971/4503599627370496) (/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta)) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha))))
(if (<=.f64 beta 7656119366529843/4503599627370496) (/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3)))
(if (<=.f64 beta 9/2) (/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 2589569785738035/281474976710656) (/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta)) (if (<=.f64 beta 39000000000000002780663418455933455758769444035556442683130592372251768982296891558898736978466144751876740514989211444123394137733155443358057872410804224) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 70000000000000000) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (if (<=.f64 beta 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 2589569785738035/2251799813685248) (+.f64 (*.f64 -5/36 beta) 1/6) (if (<=.f64 beta 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4728779608739021/4503599627370496) (+.f64 (*.f64 -5/36 beta) 1/6) (if (<=.f64 beta 88000000000000004442236586435046265082332909346322287461926456609026694167449074793064725010398750859160720921877873287119481029182751883008297801867067392) (/.f64 1 (*.f64 beta (+.f64 beta 5))) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 2589569785738035/2251799813685248) (+.f64 (*.f64 -5/36 beta) 1/6) (if (<=.f64 beta 21500000000000000023295195882117162295371884502861737839092585422932682165133703470445785440734853372493657446021479019673052835891620231686497691625131606016) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 2589569785738035/2251799813685248) (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 2589569785738035/2251799813685248) (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 2476979795053773/2251799813685248) (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 1/5 beta))
(if (<=.f64 beta 5404319552844595/4503599627370496) 1/6 (/.f64 1/5 beta))
1/6
Outputs
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(if (<=.f64 beta 5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200) (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200) (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200) (*.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)))) (/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 6980579422424269/2251799813685248) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2)))) (/.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 6980579422424269/2251799813685248) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))
(if (<=.f64 beta 6350000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha))))
(if (<=.f64 beta 6350000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha))))
(if (<=.f64 beta 4447304632028365/562949953421312) (/.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 4447304632028365/562949953421312) (/.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 beta alpha))) (-.f64 -3 (+.f64 beta alpha))))
(if (<=.f64 beta 2871044762448691/562949953421312) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (/.f64 1 (*.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 2871044762448691/562949953421312) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha))))
(if (<=.f64 beta 4278419646001971/4503599627370496) (/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta)) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha))))
(if (<=.f64 beta 4278419646001971/4503599627370496) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))) (-.f64 -3 (+.f64 beta alpha))))
(if (<=.f64 beta 7656119366529843/4503599627370496) (/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3)))
(if (<=.f64 beta 7656119366529843/4503599627370496) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta 3)))
(if (<=.f64 beta 9/2) (/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)))
(if (<=.f64 beta 9/2) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 3 (+.f64 beta alpha))))
(if (<=.f64 beta 2589569785738035/281474976710656) (/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 3 beta)) (if (<=.f64 beta 39000000000000002780663418455933455758769444035556442683130592372251768982296891558898736978466144751876740514989211444123394137733155443358057872410804224) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 2589569785738035/281474976710656) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta 3)) (if (<=.f64 beta 39000000000000002780663418455933455758769444035556442683130592372251768982296891558898736978466144751876740514989211444123394137733155443358057872410804224) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
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(if (<=.f64 beta 2476979795053773/2251799813685248) (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 1/5 beta))
(if (<=.f64 beta 2476979795053773/2251799813685248) (+.f64 (*.f64 beta -5/36) 1/6) (/.f64 1/5 beta))
(if (<=.f64 beta 5404319552844595/4503599627370496) 1/6 (/.f64 1/5 beta))
1/6
Compiler

Compiled 581 to 411 computations (29.3% saved)

soundness230.0ms (1.1%)

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)

end341.0ms (1.7%)

Remove

(sort alpha beta)

Compiler

Compiled 597 to 395 computations (33.8% saved)

Profiling

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