Details

Time bar (total: 14.5s)

analyze53.0ms (0.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%56.2%43.8%0
0%56.2%43.8%1
0%56.2%43.8%2
14%42.1%43.8%3
21.1%35.1%43.8%4
31.6%24.6%43.8%5
36.9%19.3%43.8%6
43%13.2%43.8%7
46.1%10.1%43.8%8
49.4%6.8%43.8%9
51%5.2%43.8%10
52.7%3.5%43.8%11
53.6%2.6%43.8%12
Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.5s (10.6%)

Results
1.5s8256×body256valid

preprocess137.0ms (0.9%)

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 (0.9%)

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 → 2
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))))

eval1.0ms (0%)

Compiler

Compiled 62 to 40 computations (35.5% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
2.8b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
9.9b
(/.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))))
2.9b
(/.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 64 to 43 computations (32.8% saved)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 alpha 1) (+.f64 beta 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)))
9.9b
(/.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))))
Compiler

Compiled 89 to 54 computations (39.3% saved)

series26.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
4.0ms
beta
@0
(/.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))))
3.0ms
alpha
@0
(/.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))))
3.0ms
alpha
@-inf
(/.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))))
3.0ms
beta
@-inf
(/.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))))
2.0ms
beta
@inf
(/.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))))

rewrite110.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

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

simplify117.0ms (0.8%)

Algorithm
egg-herbie
Rules
501×distribute-rgt-in_binary64
491×distribute-lft-in_binary64
411×fma-def_binary64
330×associate-+r+_binary64
282×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03285598
113705064
272365013
Stop Event
node limit
Counts
280 → 299
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))
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(pow.f64 beta 3)
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))))
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(pow.f64 beta 3)
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))))
(*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))
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(+.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))))
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(pow.f64 alpha 3)
(+.f64 (pow.f64 alpha 3) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha))))
(pow.f64 alpha 3)
(+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(+.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)
(+.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)))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))))
(+.f64 beta 1)
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1))
(*.f64 (+.f64 beta 1) alpha)
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(*.f64 (+.f64 beta 1) alpha)
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 1 alpha)
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha))
(*.f64 (+.f64 1 alpha) beta)
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(*.f64 (+.f64 1 alpha) beta)
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) 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 (/.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 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1))))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 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 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1)))) (/.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 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (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 (/.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 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1))))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1))))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (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 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1)))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (-.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 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1)))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 (/.f64 (-.f64 (+.f64 (/.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 beta 3)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4)))))))))
(+.f64 (-.f64 (fma.f64 alpha (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1))))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1))))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)))))) (fma.f64 (neg.f64 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (fma.f64 (/.f64 (+.f64 (/.f64 (/.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 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1))))) (+.f64 beta 3)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (+.f64 beta 3) 2)))) (/.f64 (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1))))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
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(+.f64 (fma.f64 (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)) (*.f64 alpha alpha) (pow.f64 alpha 3)) (neg.f64 (*.f64 alpha (fma.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (neg.f64 (pow.f64 (+.f64 beta 2) 2))))))
(-.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta (fma.f64 beta 2 7)))) (*.f64 alpha (-.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -6)) (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta (fma.f64 beta 2 7))) (*.f64 (-.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -6)) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 alpha)))
(+.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)))))))))
(fma.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2) (+.f64 (fma.f64 (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)) (*.f64 alpha alpha) (pow.f64 alpha 3)) (neg.f64 (*.f64 alpha (fma.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (neg.f64 (pow.f64 (+.f64 beta 2) 2)))))))
(fma.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta (fma.f64 beta 2 7)))) (*.f64 alpha (-.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -6)) (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2) (fma.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta (fma.f64 beta 2 7))) (*.f64 (-.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -6)) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 alpha))))
(*.f64 (+.f64 2 alpha) (+.f64 3 alpha))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha))))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha))))
(fma.f64 beta (fma.f64 2 alpha 5) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 beta (+.f64 5 (*.f64 2 alpha)) (*.f64 beta beta)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (*.f64 beta (+.f64 beta (fma.f64 2 alpha 5))))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 beta (+.f64 5 (*.f64 2 alpha)) (*.f64 beta beta)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (*.f64 beta (+.f64 beta (fma.f64 2 alpha 5))))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2))
(fma.f64 beta (+.f64 5 (*.f64 2 alpha)) (*.f64 beta beta))
(*.f64 beta (+.f64 beta (fma.f64 2 alpha 5)))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 beta (+.f64 5 (*.f64 2 alpha)) (*.f64 beta beta)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (*.f64 beta (+.f64 beta (fma.f64 2 alpha 5))))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 beta (+.f64 5 (*.f64 2 alpha)) (*.f64 beta beta)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (*.f64 beta (+.f64 beta (fma.f64 2 alpha 5))))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2))
(fma.f64 -1 (*.f64 beta (*.f64 -1 (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (*.f64 beta beta))
(-.f64 (*.f64 beta beta) (*.f64 beta (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 2 alpha))))
(fma.f64 beta beta (*.f64 beta (+.f64 3 (+.f64 alpha (+.f64 2 alpha)))))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 -1 (*.f64 beta (*.f64 -1 (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (*.f64 beta beta)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (-.f64 (*.f64 beta beta) (*.f64 beta (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 2 alpha)))))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 beta beta (*.f64 beta (+.f64 3 (+.f64 alpha (+.f64 2 alpha))))))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 -1 (*.f64 beta (*.f64 -1 (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (*.f64 beta beta)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (-.f64 (*.f64 beta beta) (*.f64 beta (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 2 alpha)))))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 beta beta (*.f64 beta (+.f64 3 (+.f64 alpha (+.f64 2 alpha))))))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 (*.f64 beta 2) 5)))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5)))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 (*.f64 beta 2) 5))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (fma.f64 beta 2 5))))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 (*.f64 beta 2) 5))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (fma.f64 beta 2 5))))
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 (*.f64 beta 2) 5)))
(*.f64 alpha (+.f64 alpha (fma.f64 beta 2 5)))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 (*.f64 beta 2) 5))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (fma.f64 beta 2 5))))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 (*.f64 beta 2) 5))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (fma.f64 beta 2 5))))
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha)))
(+.f64 (*.f64 alpha alpha) (neg.f64 (*.f64 alpha (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))))))
(*.f64 alpha (+.f64 alpha (*.f64 1 (+.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 alpha (+.f64 alpha (+.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (*.f64 alpha alpha) (neg.f64 (*.f64 alpha (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (*.f64 1 (+.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (+.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (*.f64 alpha alpha) (neg.f64 (*.f64 alpha (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (*.f64 1 (+.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (+.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 beta 1)
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(*.f64 (+.f64 beta 1) alpha)
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(*.f64 (+.f64 beta 1) alpha)
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(+.f64 1 alpha)
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) beta)
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) beta)
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))

localize34.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
0.1b
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
2.7b
(/.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)

series26.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

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

rewrite94.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01593
134975
2577175
Stop Event
node limit
Counts
3 → 119
Calls
Call 1
Inputs
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
Outputs
((#(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 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simplify128.0ms (0.9%)

Algorithm
egg-herbie
Rules
712×distribute-rgt-in_binary64
704×distribute-lft-in_binary64
492×fma-def_binary64
281×times-frac_binary64
273×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05668046
122057585
Stop Event
node limit
Counts
191 → 252
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(*.f64 -1 (-.f64 (*.f64 -1 beta) 1))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(*.f64 -1 (-.f64 (*.f64 -1 alpha) 1))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 alpha) 1)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1))) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (*.f64 -1 (-.f64 (*.f64 -1 alpha) 1))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1))) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (*.f64 -1 (-.f64 (*.f64 -1 alpha) 1)))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))))) (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))))) (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 alpha) 1))) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))))) (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 5))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (-.f64 (*.f64 -1 alpha) 1) (+.f64 3 alpha))) (pow.f64 beta 5)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2))))))))
(/.f64 (+.f64 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))))
(-.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))))
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))))))
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(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (fma.f64 2 alpha 4) (/.f64 (*.f64 beta beta) (-.f64 -1 alpha)))))
(-.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 (fma.f64 -2 (/.f64 (+.f64 1 (-.f64 alpha (*.f64 (*.f64 (+.f64 2 alpha) (fma.f64 -1 alpha -1)) -2))) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (fma.f64 -1 (/.f64 (fma.f64 -1 alpha -1) beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (fma.f64 -1 alpha -1))))))) (*.f64 2 (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (fma.f64 -1 alpha -1)))))
(fma.f64 -2 (*.f64 (/.f64 (+.f64 1 (-.f64 alpha (*.f64 (+.f64 2 alpha) (*.f64 (-.f64 -1 alpha) -2)))) (pow.f64 beta 3)) (+.f64 2 alpha)) (+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)) (*.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (-.f64 -1 alpha)))) (/.f64 (fma.f64 2 alpha 4) (/.f64 (*.f64 beta beta) (-.f64 -1 alpha)))))
(-.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 (fma.f64 -2 (/.f64 (+.f64 1 (-.f64 alpha (*.f64 (*.f64 (+.f64 2 alpha) (fma.f64 -1 alpha -1)) -2))) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 alpha -1) beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (fma.f64 -1 alpha -1)))) (neg.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 alpha) (fma.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 -1 alpha -1) (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 1 (-.f64 alpha (*.f64 (*.f64 (+.f64 2 alpha) (fma.f64 -1 alpha -1)) -2))))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (-.f64 alpha (*.f64 (*.f64 (+.f64 2 alpha) (fma.f64 -1 alpha -1)) -2))))) (pow.f64 beta 4))))))) (*.f64 2 (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (fma.f64 -1 alpha -1)))))
(+.f64 (+.f64 (fma.f64 -2 (*.f64 (/.f64 (+.f64 1 (-.f64 alpha (*.f64 (+.f64 2 alpha) (*.f64 (-.f64 -1 alpha) -2)))) (pow.f64 beta 3)) (+.f64 2 alpha)) (/.f64 1 (*.f64 beta beta))) (+.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (-.f64 -1 alpha)) (/.f64 (fma.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 2 alpha) (*.f64 (-.f64 -1 alpha) -2)))) (*.f64 (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 2 alpha) (*.f64 (-.f64 -1 alpha) -2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 -1 alpha))) (fma.f64 2 alpha 4))) (pow.f64 beta 4))))) (/.f64 (fma.f64 2 alpha 4) (/.f64 (*.f64 beta beta) (-.f64 -1 alpha))))

eval968.0ms (6.7%)

Compiler

Compiled 29820 to 21665 computations (27.3% saved)

prune118.0ms (0.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New53318551
Fresh000
Picked101
Done011
Total53419553
Error
0.0b
Counts
553 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
28.7b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) 3) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))) (-.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3)))))
10.4b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))) 2))
2.9b
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
10.7b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 3)))
9.9b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (*.f64 2 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))))
9.9b
(/.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))))
61.9b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
29.0b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
12.1b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 beta (+.f64 alpha 2))))
62.8b
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.5b
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
1.6b
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
37.4b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
27.1b
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.6b
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
16.8b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
10.5b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
10.6b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))
62.0b
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
Compiler

Compiled 975 to 691 computations (29.1% saved)

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 beta) (*.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)))
3.4b
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
14.3b
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
Compiler

Compiled 112 to 76 computations (32.1% saved)

series56.0ms (0.4%)

Counts
4 → 48
Calls

24 calls:

TimeVariablePointExpression
13.0ms
alpha
@0
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
5.0ms
beta
@-inf
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
4.0ms
alpha
@0
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
4.0ms
beta
@0
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
2.0ms
beta
@0
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))

rewrite114.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
402×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
2660997
Stop Event
node limit
Counts
4 → 173
Calls
Call 1
Inputs
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
(/.f64 (+.f64 alpha 1) (*.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 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 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beta)) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (/.f64 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simplify107.0ms (0.7%)

Algorithm
egg-herbie
Rules
619×distribute-rgt-in_binary64
613×distribute-lft-in_binary64
576×fma-def_binary64
381×associate-*r*_binary64
356×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05097482
119557107
Stop Event
node limit
Counts
221 → 265
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))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.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))))))
(+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))))))
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 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (/.f64 -1/2 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 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 (/.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 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (/.f64 -1/2 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))))) (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 (sqrt.f64 (+.f64 alpha 3)) (*.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)))) (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 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (/.f64 -1/2 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))))) (/.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 (*.f64 1/2 (+.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 (+.f64 1 beta) (+.f64 2 beta)) (*.f64 -1/2 (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 1 beta) (/.f64 (+.f64 2 beta) (-.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)))) (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 (+.f64 1 beta) (+.f64 2 beta)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))))))
(+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (+.f64 beta 3)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 3)))) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))))))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))))
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 1/2 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (/.f64 (+.f64 2 beta) (+.f64 1 beta))) (sqrt.f64 (+.f64 3 beta))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))))) (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (fma.f64 (pow.f64 alpha 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))) (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (+.f64 3 beta)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 3 beta)))) (/.f64 (+.f64 2 beta) (+.f64 1 beta)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 4)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))))) (*.f64 alpha (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))))))))
(fma.f64 (fma.f64 1/2 (fma.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 2 beta) (-.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)))) (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 (*.f64 -1/2 (+.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 1 (pow.f64 (+.f64 3 beta) 4)) (/.f64 (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 (+.f64 1 beta) (+.f64 2 beta)) (*.f64 -1/2 (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 (-.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) (sqrt.f64 (+.f64 3 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 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 3 beta)))) (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 4))))))) (fma.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 1 (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) alpha (*.f64 (*.f64 alpha alpha) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))))))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 2 beta)) (fma.f64 (pow.f64 alpha 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (*.f64 (sqrt.f64 (+.f64 3 beta)) (+.f64 (*.f64 (*.f64 1/2 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.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 1 (pow.f64 (+.f64 3 beta) 4)) (/.f64 (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 (-.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) (sqrt.f64 (+.f64 3 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 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) -1/2)) (*.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 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) -1/2)) (*.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 (/.f64 (+.f64 1 alpha) (+.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 alpha 3)) 1/2)))) (*.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 (*.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 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) -1/2)) (*.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 (+.f64 1 alpha) (+.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 (/.f64 (+.f64 1 alpha) (+.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 alpha 3)) 1/2))))))))
(*.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 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 5))) (*.f64 (+.f64 2 beta) 1/16))) (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 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (+.f64 2 alpha) -1/8))) (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 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (+.f64 2 alpha) -1/8))) (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 2 alpha) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 5))) 1/16))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2)))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
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(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 4 (*.f64 3 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 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))))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))) (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta))) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4)))))
(+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 4 (*.f64 3 alpha))))) (pow.f64 beta 3))) (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (neg.f64 (fma.f64 (+.f64 3 (+.f64 4 (*.f64 3 alpha))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 4 (*.f64 3 alpha))))) (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))))
(+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))))))
(+.f64 (/.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (/.f64 (pow.f64 beta 5) (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))))) (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 5) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))))) (+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (*.f64 (+.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4)))))))))
(+.f64 (-.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 4 (*.f64 3 alpha))) (pow.f64 beta 5)) (neg.f64 (fma.f64 (+.f64 3 (+.f64 4 (*.f64 3 alpha))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 4 (*.f64 3 alpha))))) (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 (/.f64 (-.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 5)) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 4 (*.f64 3 alpha))))))) (+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 4 (*.f64 3 alpha))))) (pow.f64 beta 3))) (-.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (neg.f64 (fma.f64 (+.f64 3 (+.f64 4 (*.f64 3 alpha))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 4 (*.f64 3 alpha))))) (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (pow.f64 beta 5) (+.f64 alpha 3))))))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.7b
(/.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))
1.0ms
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))

rewrite51.0ms (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))))))))

simplify166.0ms (1.1%)

Algorithm
egg-herbie
Rules
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011285
119285
230285
353285
4121285
5363285
61349285
72197285
82361285
92545285
102753285
113052285
123443285
133926285
144492285
155182285
166015285
176409285
186697285
196973285
207047285
217081285
Stop Event
node limit
Counts
56 → 40
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))
Outputs
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

localize38.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 alpha 1) (+.f64 beta 1))
4.1b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
9.2b
(*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))
Compiler

Compiled 56 to 33 computations (41.1% saved)

series11.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite84.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
131138
2505938
Stop Event
node limit
Counts
2 → 90
Calls
Call 1
Inputs
(*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (*.f64 alpha alpha)) (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)) (*.f64 beta (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta alpha) (*.f64 alpha alpha)) (*.f64 2 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha alpha) beta) (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (*.f64 (*.f64 alpha alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha alpha) (+.f64 beta alpha)) (*.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 alpha alpha)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 alpha alpha)) (-.f64 (-.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 alpha alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (pow.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3) (pow.f64 (*.f64 alpha alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (*.f64 alpha alpha) (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 2) (*.f64 alpha alpha) (*.f64 beta (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha alpha) beta (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha alpha) (+.f64 alpha 2) (*.f64 (*.f64 alpha alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha alpha) (+.f64 beta alpha) (*.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta alpha) (*.f64 alpha alpha) (*.f64 2 (*.f64 alpha alpha)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (/.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 (+.f64 alpha 1) (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1))) (/.f64 1 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) 1) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 (+.f64 beta 1) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 (+.f64 alpha 1) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) 2) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 alpha (+.f64 2 (+.f64 beta 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) (log1p.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) (log1p.f64 beta))) 1))))))

simplify65.0ms (0.4%)

Algorithm
egg-herbie
Rules
738×fma-def_binary64
688×distribute-rgt-in_binary64
657×distribute-lft-in_binary64
631×times-frac_binary64
448×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01902294
16482251
226372103
Stop Event
node limit
Counts
138 → 144
Calls
Call 1
Inputs
(*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 beta (pow.f64 alpha 2))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 beta (pow.f64 alpha 2))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (+.f64 beta 2) (pow.f64 alpha 2))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(pow.f64 alpha 3)
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(pow.f64 alpha 3)
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (/.f64 1 (*.f64 (+.f64 beta 2) alpha))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (+.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)))) alpha) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 1 (pow.f64 (+.f64 beta 2) 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 2)) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (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 4))) (+.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 2)) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (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 4))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 5)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 alpha 3))))))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 5))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 alpha 3)))))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 2 alpha) alpha))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) alpha))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)))))))))
(/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2))) (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2))) (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 beta (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) beta)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) beta)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 1 alpha)))))
Outputs
(*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))
(*.f64 (+.f64 2 alpha) (*.f64 alpha alpha))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(*.f64 beta (pow.f64 alpha 2))
(*.f64 (*.f64 alpha alpha) beta)
(*.f64 alpha (*.f64 alpha beta))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(*.f64 beta (pow.f64 alpha 2))
(*.f64 (*.f64 alpha alpha) beta)
(*.f64 alpha (*.f64 alpha beta))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(*.f64 (+.f64 beta 2) (pow.f64 alpha 2))
(*.f64 (*.f64 alpha alpha) (+.f64 2 beta))
(*.f64 alpha (*.f64 alpha (+.f64 2 beta)))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(pow.f64 alpha 3)
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(pow.f64 alpha 3)
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 alpha alpha) (+.f64 2 beta)))
(/.f64 (+.f64 beta 1) (*.f64 alpha (*.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (+.f64 2 beta))
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (/.f64 1 (*.f64 (+.f64 beta 2) alpha))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(+.f64 (/.f64 beta (*.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (-.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (+.f64 (/.f64 (/.f64 beta (+.f64 2 beta)) alpha) (/.f64 (/.f64 1 (+.f64 2 beta)) alpha))) (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha (+.f64 2 beta)))) (+.f64 (/.f64 beta (*.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 alpha (+.f64 2 beta))))) (-.f64 (/.f64 beta (*.f64 alpha (*.f64 alpha (+.f64 2 beta)))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))))
(+.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 2 beta)) alpha) alpha) (+.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha (+.f64 2 beta)))) (+.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 2 beta)) alpha) (/.f64 1 (*.f64 alpha (+.f64 2 beta)))) (-.f64 (/.f64 -1 (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 2 beta) 2)))))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (-.f64 (+.f64 (/.f64 beta (*.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (+.f64 (/.f64 (/.f64 beta (+.f64 2 beta)) alpha) (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (+.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) alpha) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (+.f64 (/.f64 beta (*.f64 alpha (*.f64 alpha (+.f64 2 beta)))) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha (+.f64 2 beta)))) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (*.f64 alpha (+.f64 2 beta))))) (+.f64 (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))
(+.f64 (+.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 2 beta)) alpha) alpha) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (+.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 beta (+.f64 2 beta)) alpha)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (+.f64 (+.f64 (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (+.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)))) alpha) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (+.f64 (/.f64 beta (*.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (+.f64 (/.f64 (/.f64 beta (+.f64 2 beta)) alpha) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 4)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) alpha (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (+.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) alpha) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))))
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(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) alpha))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)))))))))
(fma.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha))) (/.f64 1 (*.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha))) (fma.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) alpha))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 alpha))) (*.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))))))
(+.f64 (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 3))) (-.f64 (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 4))))) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 3))) (-.f64 (-.f64 (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 (/.f64 1 alpha) (+.f64 2 alpha)))) (fma.f64 beta (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 alpha) (+.f64 2 alpha)) alpha) (/.f64 (/.f64 1 alpha) (+.f64 2 alpha))) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (/.f64 (/.f64 1 alpha) (+.f64 2 alpha)) alpha)))
(+.f64 (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 (/.f64 1 (*.f64 alpha alpha)) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 -1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 -1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (fma.f64 beta (*.f64 beta (+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 alpha alpha)) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 -1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 (/.f64 1 alpha) (+.f64 2 alpha)))) (fma.f64 beta (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha))) (+.f64 (-.f64 (/.f64 (/.f64 1 alpha) (+.f64 2 alpha)) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 -1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))))
(/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) beta)) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha beta)) (/.f64 1 alpha))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha beta)) (/.f64 1 alpha))) (-.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha beta))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))))
(fma.f64 (/.f64 (fma.f64 alpha -1 -1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 (/.f64 1 alpha) beta) (/.f64 1 alpha)) (/.f64 1 (*.f64 alpha (*.f64 alpha beta))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2))) (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) beta)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha beta)) (fma.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))) (/.f64 (*.f64 beta beta) (+.f64 2 alpha))) (/.f64 1 alpha))))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha))))
(+.f64 (+.f64 (-.f64 (/.f64 1 (*.f64 alpha beta)) (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 1 alpha) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha))))))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))) (-.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha beta))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))))
(fma.f64 (/.f64 (fma.f64 alpha -1 -1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha beta))) (+.f64 (/.f64 (/.f64 1 alpha) beta) (+.f64 (-.f64 (/.f64 1 alpha) (*.f64 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (*.f64 (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)) (+.f64 alpha 1))))) (/.f64 1 (*.f64 alpha alpha))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2))) (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) beta)) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha beta)) (fma.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))) (/.f64 (*.f64 beta beta) (+.f64 2 alpha))) (/.f64 1 alpha)))) (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha))))
(+.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha beta))) (+.f64 (+.f64 (-.f64 (/.f64 1 (*.f64 alpha beta)) (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 1 alpha) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha))))))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 1 alpha) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha)))) (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha))))))
(fma.f64 (/.f64 (fma.f64 alpha -1 -1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha beta))) (+.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (*.f64 (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)) (+.f64 alpha 1))) (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (/.f64 1 alpha) beta))) (-.f64 (/.f64 1 alpha) (*.f64 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (*.f64 (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)) (+.f64 alpha 1))))))))
(/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) beta)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha))))) beta) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha))) beta))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 (+.f64 2 alpha) -1)) beta)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) beta)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha))))) beta) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha))))) (/.f64 (*.f64 beta beta) (+.f64 2 alpha))))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha))) beta)) (*.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha))) beta) (/.f64 (+.f64 2 alpha) beta)))
(+.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 (+.f64 2 alpha) -1)) beta) (/.f64 (+.f64 2 alpha) beta) (/.f64 1 alpha)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 (+.f64 2 alpha) -1)) beta)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 1 alpha)))))
(fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha))))) beta) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha))))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha))))) (/.f64 (*.f64 beta beta) (+.f64 2 alpha)))))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (*.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha))) beta) (/.f64 (+.f64 2 alpha) beta)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha)))))) (/.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha))) beta))
(+.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 (+.f64 2 alpha) -1)) (*.f64 beta beta)) (+.f64 2 alpha) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))) (*.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 (+.f64 2 alpha) -1)) beta) (-.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))))

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
0.0b
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
0.0b
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
1.6b
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
Compiler

Compiled 89 to 59 computations (33.7% saved)

series26.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
7.0ms
beta
@-inf
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
3.0ms
alpha
@0
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
2.0ms
beta
@-inf
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
2.0ms
beta
@0
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
1.0ms
alpha
@-inf
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))

rewrite116.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01688
139882
2673082
Stop Event
node limit
Counts
4 → 187
Calls
Call 1
Inputs
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
Outputs
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(/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 beta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 beta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 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alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 beta)))) 1))))))

simplify155.0ms (1.1%)

Algorithm
egg-herbie
Rules
768×distribute-rgt-in_binary64
751×distribute-lft-in_binary64
554×fma-def_binary64
333×associate-/r*_binary64
329×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05277826
121447301
Stop Event
node limit
Counts
283 → 333
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))))))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 3 alpha))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (+.f64 5 (*.f64 2 alpha))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha)) (pow.f64 beta 3))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha)))) (pow.f64 beta 4))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha))))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha)))) (pow.f64 beta 4))))))))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))))
(*.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)
(+.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)))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 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))))
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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))))
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1
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(/.f64 (+.f64 beta 1) (+.f64 beta 2))
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))
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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))
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(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
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(+.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))))))
(+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))))))
Outputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))
(fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha)))
(-.f64 (fma.f64 (-.f64 (/.f64 (/.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 alpha 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 5 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (*.f64 (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2)))) (+.f64 beta 2)))))) (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))))
(fma.f64 (-.f64 (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (fma.f64 beta 2 5) (+.f64 beta 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 (*.f64 alpha 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 (*.f64 -1 (+.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 (*.f64 beta 2) 4))))) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta 2) 4))))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 (*.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1 alpha))))
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1
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(+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (pow.f64 beta 3))) (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (neg.f64 (fma.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 (+.f64 -4 (*.f64 alpha -2)) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))))
(+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))))))
(+.f64 (/.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (/.f64 (pow.f64 beta 5) (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))))) (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 5) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))))) (+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (*.f64 (+.f64 3 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4)))))))))
(+.f64 (-.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))) (pow.f64 beta 5)) (neg.f64 (fma.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 (+.f64 -4 (*.f64 alpha -2)) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 -4 (*.f64 alpha -2)) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 5)) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))))) (+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (pow.f64 beta 3))) (-.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (neg.f64 (fma.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 (+.f64 -4 (*.f64 alpha -2)) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 5)) (*.f64 (+.f64 3 alpha) (pow.f64 (+.f64 2 alpha) 2))))))

localize52.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 beta 2) 2)
0.1b
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
18.9b
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
Compiler

Compiled 67 to 47 computations (29.9% saved)

series17.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

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

rewrite91.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
937×prod-diff_binary64
603×fma-def_binary64
387×fma-neg_binary64
280×log1p-udef_binary64
278×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01442
132042
2486942
Stop Event
node limit
Counts
3 → 109
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(pow.f64 (+.f64 beta 2) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 2) (pow.f64 (+.f64 beta 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 2) (pow.f64 (+.f64 beta 2) 4))) (cbrt.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta 2)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 beta) -1) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 2) -2) (+.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 beta 2)) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (cbrt.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 beta 1) (neg.f64 (pow.f64 (+.f64 beta 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 2) (pow.f64 (+.f64 beta 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (*.f64 2 (log.f64 (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (*.f64 2 (log.f64 (+.f64 beta 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3))))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 2) (pow.f64 (+.f64 beta 2) 4))) (*.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta 2)) (*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) beta) (*.f64 (+.f64 beta 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 2) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -4)) (*.f64 (-.f64 beta 2) (-.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 8 (pow.f64 beta 3))) (*.f64 (-.f64 beta 2) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -4)) (*.f64 (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)) (-.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 2)) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 beta 2)) (-.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 2) (+.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 beta 2) (fma.f64 beta beta -4)) (-.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (+.f64 beta 2) (*.f64 2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (+.f64 beta 2) (*.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta 2) beta (*.f64 (+.f64 beta 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta 2) 2 (*.f64 (+.f64 beta 2) beta))))))

simplify71.0ms (0.5%)

Algorithm
egg-herbie
Rules
775×times-frac_binary64
745×associate-*l*_binary64
529×associate-/r*_binary64
464×associate-/l*_binary64
314×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01902127
16722014
228831918
Stop Event
node limit
Counts
157 → 167
Calls
Call 1
Inputs
1/4
(+.f64 1/4 (*.f64 -1/16 (pow.f64 beta 2)))
(+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3))))
(+.f64 (*.f64 -3/64 (pow.f64 beta 4)) (+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1/4 (+.f64 3 alpha))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha))))))))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 alpha)) (+.f64 3 alpha))) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha))))))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 4 (*.f64 4 (+.f64 3 alpha))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 5))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha))) (pow.f64 beta 4))))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -4 (/.f64 (+.f64 3 alpha) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 7 alpha) (+.f64 (*.f64 (+.f64 7 alpha) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)))) (pow.f64 beta 5)) (/.f64 (*.f64 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (pow.f64 beta 5))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 4) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 4) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha))))))
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))))
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))))
4
(+.f64 4 (*.f64 4 beta))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
Outputs
1/4
(+.f64 1/4 (*.f64 -1/16 (pow.f64 beta 2)))
(+.f64 1/4 (*.f64 -1/16 (*.f64 beta beta)))
(fma.f64 -1/16 (*.f64 beta beta) 1/4)
(+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3))))
(+.f64 1/4 (fma.f64 -1/16 (*.f64 beta beta) (*.f64 1/16 (pow.f64 beta 3))))
(+.f64 1/4 (*.f64 (*.f64 beta beta) (+.f64 -1/16 (*.f64 1/16 beta))))
(+.f64 (*.f64 -3/64 (pow.f64 beta 4)) (+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3)))))
(fma.f64 -3/64 (pow.f64 beta 4) (+.f64 1/4 (fma.f64 -1/16 (*.f64 beta beta) (*.f64 1/16 (pow.f64 beta 3)))))
(+.f64 (fma.f64 -1/16 (*.f64 beta beta) (*.f64 1/16 (pow.f64 beta 3))) (fma.f64 -3/64 (pow.f64 beta 4) 1/4))
(+.f64 (*.f64 (*.f64 beta beta) (+.f64 -1/16 (*.f64 1/16 beta))) (fma.f64 -3/64 (pow.f64 beta 4) 1/4))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 8 (pow.f64 beta 3)) (/.f64 3 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 8 (pow.f64 beta 3)) (/.f64 -3 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 8 (pow.f64 beta 3)) (+.f64 (/.f64 3 (*.f64 beta beta)) (/.f64 20 (pow.f64 beta 4)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 8 (pow.f64 beta 3)) (-.f64 (/.f64 -20 (pow.f64 beta 4)) (/.f64 3 (*.f64 beta beta)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 8 (pow.f64 beta 3)) (/.f64 3 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 8 (pow.f64 beta 3)) (/.f64 -3 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 8 (pow.f64 beta 3)) (+.f64 (/.f64 3 (*.f64 beta beta)) (/.f64 20 (pow.f64 beta 4)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 8 (pow.f64 beta 3)) (-.f64 (/.f64 -20 (pow.f64 beta 4)) (/.f64 3 (*.f64 beta beta)))))
(/.f64 1/4 (+.f64 3 alpha))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta))
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 beta (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 -1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 alpha 4))) (pow.f64 (+.f64 3 alpha) 2))))))
(fma.f64 beta (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 16 (*.f64 4 alpha)) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 1/4 (+.f64 3 alpha)))
(fma.f64 beta (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (+.f64 1/4 (*.f64 (+.f64 3 alpha) 1/4)) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1/4 (+.f64 3 alpha)))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha))))))))
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (fma.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 -1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 alpha 4))) (pow.f64 (+.f64 3 alpha) 2)))) beta (neg.f64 (*.f64 (*.f64 beta beta) (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (*.f64 1/4 (/.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 -1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 alpha 4))) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (+.f64 3 alpha) (+.f64 4 (+.f64 12 (*.f64 alpha 4)))))))))))
(-.f64 (fma.f64 beta (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 16 (*.f64 4 alpha)) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 1/4 (+.f64 3 alpha))) (*.f64 (*.f64 beta beta) (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (/.f64 (*.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 16 (*.f64 4 alpha)) (pow.f64 (+.f64 3 alpha) 2)))) 1/4) (/.f64 (+.f64 3 alpha) (+.f64 16 (*.f64 4 alpha)))))))
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 beta (-.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (+.f64 1/4 (*.f64 (+.f64 3 alpha) 1/4)) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 (fma.f64 1/4 (*.f64 (/.f64 (+.f64 16 (*.f64 4 alpha)) (+.f64 3 alpha)) (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (+.f64 1/4 (*.f64 (+.f64 3 alpha) 1/4)) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (+.f64 alpha 7))) beta))))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 alpha)) (+.f64 3 alpha))) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha))))))))))
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (fma.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 -1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 alpha 4))) (pow.f64 (+.f64 3 alpha) 2)))) beta (fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (*.f64 1/4 (/.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 -1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 alpha 4))) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (+.f64 3 alpha) (+.f64 4 (+.f64 12 (*.f64 alpha 4)))))))) (neg.f64 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (fma.f64 1/4 (/.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 -1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 alpha 4))) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (+.f64 3 alpha) (+.f64 alpha 7))) (*.f64 -1/4 (/.f64 (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (*.f64 1/4 (/.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 -1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 alpha 4))) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (+.f64 3 alpha) (+.f64 4 (+.f64 12 (*.f64 alpha 4))))))) (/.f64 (+.f64 3 alpha) (+.f64 4 (+.f64 12 (*.f64 alpha 4)))))))))))))
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (fma.f64 beta (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 16 (*.f64 4 alpha)) (pow.f64 (+.f64 3 alpha) 2)))) (neg.f64 (fma.f64 (*.f64 beta beta) (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (/.f64 (*.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 16 (*.f64 4 alpha)) (pow.f64 (+.f64 3 alpha) 2)))) 1/4) (/.f64 (+.f64 3 alpha) (+.f64 16 (*.f64 4 alpha))))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (fma.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 16 (*.f64 4 alpha)) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (+.f64 3 alpha) (+.f64 alpha 7))) (/.f64 (*.f64 (*.f64 -1/4 (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (/.f64 (*.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 16 (*.f64 4 alpha)) (pow.f64 (+.f64 3 alpha) 2)))) 1/4) (/.f64 (+.f64 3 alpha) (+.f64 16 (*.f64 4 alpha)))))) (+.f64 16 (*.f64 4 alpha))) (+.f64 3 alpha)))))))))
(-.f64 (fma.f64 beta (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (+.f64 1/4 (*.f64 (+.f64 3 alpha) 1/4)) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1/4 (+.f64 3 alpha))) (*.f64 (*.f64 beta beta) (+.f64 (fma.f64 1/4 (*.f64 (/.f64 (+.f64 16 (*.f64 4 alpha)) (+.f64 3 alpha)) (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (+.f64 1/4 (*.f64 (+.f64 3 alpha) 1/4)) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (+.f64 alpha 7))) (*.f64 (+.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (fma.f64 1/4 (*.f64 (/.f64 (+.f64 alpha 7) (+.f64 3 alpha)) (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (+.f64 1/4 (*.f64 (+.f64 3 alpha) 1/4)) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (/.f64 (fma.f64 1/4 (*.f64 (/.f64 (+.f64 16 (*.f64 4 alpha)) (+.f64 3 alpha)) (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (+.f64 1/4 (*.f64 (+.f64 3 alpha) 1/4)) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (+.f64 alpha 7))) (+.f64 3 alpha)) (*.f64 (+.f64 16 (*.f64 4 alpha)) -1/4)))) beta))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3)))))
(fma.f64 -1 (/.f64 (+.f64 4 (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (+.f64 12 (*.f64 alpha 4)))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))))
(-.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (/.f64 (+.f64 (+.f64 16 (*.f64 4 alpha)) (*.f64 (+.f64 alpha 7) (+.f64 (neg.f64 alpha) -6))) (pow.f64 beta 4)))
(+.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 (+.f64 alpha 7) (-.f64 -6 alpha) (+.f64 16 (*.f64 4 alpha))) (pow.f64 beta 4))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 4 (*.f64 4 (+.f64 3 alpha))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 5))))))
(fma.f64 -1 (/.f64 (+.f64 4 (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (+.f64 12 (*.f64 alpha 4)))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 -1 (+.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (/.f64 (fma.f64 -1 (*.f64 (+.f64 4 (+.f64 12 (*.f64 alpha 4))) (+.f64 alpha 6)) (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 4 (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (+.f64 12 (*.f64 alpha 4))))) (+.f64 12 (*.f64 alpha 4)))) (pow.f64 beta 5))))))
(-.f64 (-.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (/.f64 (-.f64 (fma.f64 4 (+.f64 3 alpha) (*.f64 (+.f64 alpha 7) (neg.f64 (+.f64 (+.f64 16 (*.f64 4 alpha)) (*.f64 (+.f64 alpha 7) (+.f64 (neg.f64 alpha) -6)))))) (*.f64 (+.f64 16 (*.f64 4 alpha)) (+.f64 alpha 6))) (pow.f64 beta 5))) (/.f64 (+.f64 (+.f64 16 (*.f64 4 alpha)) (*.f64 (+.f64 alpha 7) (+.f64 (neg.f64 alpha) -6))) (pow.f64 beta 4)))
(+.f64 (-.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (/.f64 (fma.f64 (-.f64 -6 alpha) (+.f64 16 (*.f64 4 alpha)) (fma.f64 4 (+.f64 3 alpha) (*.f64 (-.f64 -7 alpha) (fma.f64 (+.f64 alpha 7) (-.f64 -6 alpha) (+.f64 16 (*.f64 4 alpha)))))) (pow.f64 beta 5))) (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 (+.f64 alpha 7) (-.f64 -6 alpha) (+.f64 16 (*.f64 4 alpha))) (pow.f64 beta 4))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha))) (pow.f64 beta 4))))))
(fma.f64 -1 (/.f64 (+.f64 4 (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (+.f64 12 (*.f64 alpha 4)))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))))
(-.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (/.f64 (+.f64 (+.f64 16 (*.f64 4 alpha)) (*.f64 (+.f64 alpha 7) (+.f64 (neg.f64 alpha) -6))) (pow.f64 beta 4)))
(+.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 (+.f64 alpha 7) (-.f64 -6 alpha) (+.f64 16 (*.f64 4 alpha))) (pow.f64 beta 4))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -4 (/.f64 (+.f64 3 alpha) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 7 alpha) (+.f64 (*.f64 (+.f64 7 alpha) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)))) (pow.f64 beta 5)) (/.f64 (*.f64 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (pow.f64 beta 5))))))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -4 (/.f64 (+.f64 3 alpha) (pow.f64 beta 5)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3))) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 alpha 7) (+.f64 1 (neg.f64 (+.f64 alpha 7))) (neg.f64 (fma.f64 -4 (+.f64 3 alpha) -4))) (pow.f64 beta 4)) (+.f64 (/.f64 (*.f64 (+.f64 alpha 7) (fma.f64 (+.f64 alpha 7) (+.f64 1 (neg.f64 (+.f64 alpha 7))) (neg.f64 (fma.f64 -4 (+.f64 3 alpha) -4)))) (pow.f64 beta 5)) (/.f64 (fma.f64 -4 (+.f64 3 alpha) -4) (/.f64 (pow.f64 beta 5) (+.f64 1 (neg.f64 (+.f64 alpha 7))))))))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -4 (/.f64 (+.f64 3 alpha) (pow.f64 beta 5)) (+.f64 (-.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 (+.f64 alpha 7) (pow.f64 beta 3))) (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha 7) (pow.f64 beta 5)) (fma.f64 (+.f64 alpha 7) (+.f64 (neg.f64 alpha) -6) (neg.f64 (fma.f64 (+.f64 3 alpha) -4 -4)))) (*.f64 (/.f64 (fma.f64 (+.f64 3 alpha) -4 -4) (pow.f64 beta 5)) (+.f64 (neg.f64 alpha) -6))) (/.f64 (fma.f64 (+.f64 alpha 7) (+.f64 (neg.f64 alpha) -6) (neg.f64 (fma.f64 (+.f64 3 alpha) -4 -4))) (pow.f64 beta 4))))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -4 (/.f64 (+.f64 3 alpha) (pow.f64 beta 5)) (+.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (+.f64 (*.f64 (/.f64 (+.f64 alpha 7) (pow.f64 beta 5)) (fma.f64 (+.f64 alpha 7) (-.f64 -6 alpha) (+.f64 16 (*.f64 4 alpha)))) (-.f64 (/.f64 (*.f64 (+.f64 16 (*.f64 4 alpha)) (+.f64 alpha 6)) (pow.f64 beta 5)) (/.f64 (fma.f64 (+.f64 alpha 7) (-.f64 -6 alpha) (+.f64 16 (*.f64 4 alpha))) (pow.f64 beta 4)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) 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)) (neg.f64 (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))))))))
(+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 (*.f64 alpha beta) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha)))))
(+.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)) (neg.f64 (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))))))) (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))
(+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (+.f64 (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))))) (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 (*.f64 alpha beta) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))))) (*.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 3)) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 4) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 4) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 4))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 4))))) (+.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)) (neg.f64 (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))))))) (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))))
(+.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))))))) (fma.f64 (neg.f64 (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 4))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 4)))) (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 (*.f64 alpha beta) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))))) (-.f64 (*.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 3)) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 4)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 4)))))))
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))
(+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)))))
(-.f64 (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (neg.f64 (+.f64 beta 3)) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))))
(-.f64 (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))
(+.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4)))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))))
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))
(+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)))))
(-.f64 (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (neg.f64 (+.f64 beta 3)) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))))
(-.f64 (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))
(+.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4)))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))))
4
(+.f64 4 (*.f64 4 beta))
(+.f64 4 (*.f64 beta 4))
(fma.f64 beta 4 4)
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 beta 4)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 beta 4)))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(fma.f64 4 beta (*.f64 beta beta))
(*.f64 beta (+.f64 beta 4))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 beta 4)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 beta 4)))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(fma.f64 4 beta (*.f64 beta beta))
(*.f64 beta (+.f64 beta 4))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 beta 4)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 beta 4)))

eval2.0s (13.4%)

Compiler

Compiled 48080 to 35604 computations (25.9% saved)

prune186.0ms (1.3%)

Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New1028171045
Fresh11213
Picked101
Done325
Total1043211064
Error
0.0b
Counts
1064 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
28.4b
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
2.9b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
3.1b
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
37.4b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
29.1b
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
34.1b
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
9.9b
(/.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))))
35.8b
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta))
35.4b
(/.f64 1/4 (+.f64 3 alpha))
24.6b
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1)
2.2b
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
29.0b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
27.6b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
28.1b
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
15.1b
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha)))
30.0b
(/.f64 1 (*.f64 beta beta))
2.6b
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
27.1b
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.8b
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
42.0b
(/.f64 (/.f64 alpha beta) beta)
29.0b
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Compiler

Compiled 714 to 537 computations (24.8% saved)

localize53.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
0.0b
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
0.0b
(*.f64 (+.f64 5 (*.f64 2 beta)) alpha)
1.6b
(/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
Compiler

Compiled 122 to 87 computations (28.7% saved)

series32.0ms (0.2%)

Counts
3 → 60
Calls

18 calls:

TimeVariablePointExpression
10.0ms
alpha
@inf
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
3.0ms
alpha
@0
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
3.0ms
alpha
@-inf
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
3.0ms
beta
@0
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
2.0ms
beta
@-inf
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))

rewrite62.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
260×add-sqr-sqrt_binary64
253×*-un-lft-identity_binary64
253×pow1_binary64
244×add-cbrt-cube_binary64
244×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02177
151771
Stop Event
node limit
Counts
3 → 110
Calls
Call 1
Inputs
(/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(*.f64 (+.f64 5 (*.f64 2 beta)) alpha)
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha 1) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 5 alpha) (*.f64 (*.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta 2) alpha) (*.f64 5 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha 5) (*.f64 alpha (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (*.f64 beta 2)) (*.f64 alpha 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 alpha (fma.f64 beta 2 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 125 (pow.f64 (*.f64 beta 2) 3)) alpha) (+.f64 25 (-.f64 (pow.f64 (*.f64 beta 2) 2) (*.f64 10 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 25 (pow.f64 (*.f64 beta 2) 2)) alpha) (-.f64 5 (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 alpha (+.f64 125 (pow.f64 (*.f64 beta 2) 3))) (+.f64 25 (-.f64 (pow.f64 (*.f64 beta 2) 2) (*.f64 10 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 alpha (-.f64 25 (pow.f64 (*.f64 beta 2) 2))) (-.f64 5 (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 alpha (fma.f64 beta 2 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 alpha (fma.f64 beta 2 5))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 alpha) (fma.f64 beta 2 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 alpha (fma.f64 beta 2 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 alpha (fma.f64 beta 2 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 alpha (fma.f64 beta 2 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 alpha (fma.f64 beta 2 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 alpha (fma.f64 beta 2 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 alpha (fma.f64 beta 2 5))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5)))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5))) (+.f64 alpha 1)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5))) (+.f64 alpha 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5))) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha 1) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5))) (/.f64 (*.f64 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simplify147.0ms (1%)

Algorithm
egg-herbie
Rules
551×distribute-rgt-in_binary64
543×distribute-lft-in_binary64
338×fma-def_binary64
313×associate-+r+_binary64
306×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04167125
117246346
Stop Event
node limit
Counts
170 → 198
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 (*.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 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (*.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 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 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 3))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.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 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (*.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 (+.f64 5 (*.f64 2 beta)))
(-.f64 (+.f64 (/.f64 1 (+.f64 5 (*.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) alpha)))
(-.f64 (+.f64 (/.f64 1 (+.f64 5 (*.f64 2 beta))) (+.f64 (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 (/.f64 1 (+.f64 5 (*.f64 2 beta))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2))) (+.f64 beta 2))) (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2)))))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) alpha)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (-.f64 (/.f64 1 (+.f64 5 (*.f64 2 beta))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (+.f64 5 (*.f64 2 beta))) (+.f64 (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 (/.f64 1 (+.f64 5 (*.f64 2 beta))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2))) (+.f64 beta 2))) (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))))))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) alpha)))
(/.f64 1 (+.f64 5 (*.f64 2 beta)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) alpha))) (+.f64 (/.f64 1 (+.f64 5 (*.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) alpha))) (+.f64 (/.f64 1 (+.f64 5 (*.f64 2 beta))) (+.f64 (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2))) (/.f64 1 (+.f64 5 (*.f64 2 beta)))) (+.f64 beta 2))) (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2)))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2))) (/.f64 1 (+.f64 5 (*.f64 2 beta)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) alpha))) (+.f64 (/.f64 1 (+.f64 5 (*.f64 2 beta))) (+.f64 (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2))) (/.f64 1 (+.f64 5 (*.f64 2 beta)))) (+.f64 beta 2))) (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))))))))
(/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2))) (+.f64 (/.f64 1 (+.f64 6 (*.f64 5 alpha))) (/.f64 alpha (+.f64 6 (*.f64 5 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 6 (*.f64 5 alpha)) 3))) (/.f64 1 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2)))))) (+.f64 (/.f64 1 (+.f64 6 (*.f64 5 alpha))) (/.f64 alpha (+.f64 6 (*.f64 5 alpha))))))
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(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 5 (*.f64 2 beta))) (/.f64 1 (+.f64 5 (*.f64 2 beta)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 5 (*.f64 2 beta))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 5 (*.f64 2 beta))) (/.f64 1 (+.f64 5 (*.f64 2 beta)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))))) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (+.f64 5 (*.f64 2 beta))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))))) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 3)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 5 (*.f64 2 beta))) (/.f64 1 (+.f64 5 (*.f64 2 beta)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))))) (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))))) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 2)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
(+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) beta)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) beta))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 1 (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) beta)))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(/.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 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))) (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 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 5)) (*.f64 -1 (+.f64 6 (*.f64 5 alpha)))))) (*.f64 -1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))))))))) (pow.f64 beta 4))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))) (+.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 5)) (*.f64 -1 (+.f64 6 (*.f64 5 alpha))))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 5)) (*.f64 -1 (+.f64 6 (*.f64 5 alpha)))))) (*.f64 -1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))))))))) (pow.f64 beta 4))) (/.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 6 (*.f64 5 alpha))) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 5))))) (*.f64 -1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))))))) (pow.f64 beta 5))))))))
Outputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))
(fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)))
(+.f64 (*.f64 -1 (/.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 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (*.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 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 beta 2)) (*.f64 alpha alpha)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha)))
(-.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 (/.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 (*.f64 alpha alpha) (/.f64 (+.f64 beta 2) (fma.f64 beta 2 5)))))
(+.f64 (/.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 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 3))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.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 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (*.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 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 beta 2)) (*.f64 alpha alpha)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))) (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 5 (*.f64 beta 2)) 2) (pow.f64 alpha 3)))))
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)) (fma.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha)))) (fma.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha)) (+.f64 6 (*.f64 5 alpha))) (neg.f64 (*.f64 (+.f64 7 (*.f64 3 alpha)) (fma.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha)))) (+.f64 7 (*.f64 3 alpha)) (*.f64 (+.f64 1 alpha) (fma.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha)) (+.f64 6 (*.f64 5 alpha))))))))) (pow.f64 beta 5)) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (fma.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha)))) (+.f64 7 (*.f64 3 alpha)) (*.f64 (+.f64 1 alpha) (fma.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha)) (+.f64 6 (*.f64 5 alpha))))) (pow.f64 beta 4)) (+.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 (pow.f64 beta 3)) (+.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 alpha (pow.f64 beta 3))) (/.f64 (fma.f64 (fma.f64 3 alpha 7) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (fma.f64 3 alpha 7))) (*.f64 (+.f64 1 alpha) (fma.f64 (fma.f64 2 alpha 5) (+.f64 2 alpha) (fma.f64 5 alpha 6)))) (pow.f64 beta 4))) (/.f64 1 (*.f64 beta beta)))) (/.f64 (-.f64 (fma.f64 (+.f64 1 alpha) (*.f64 (fma.f64 5 alpha 6) (+.f64 2 alpha)) (*.f64 (fma.f64 (fma.f64 2 alpha 5) (+.f64 2 alpha) (fma.f64 5 alpha 6)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (fma.f64 3 alpha 7))))) (*.f64 (fma.f64 3 alpha 7) (fma.f64 (fma.f64 3 alpha 7) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (fma.f64 3 alpha 7))) (*.f64 (+.f64 1 alpha) (fma.f64 (fma.f64 2 alpha 5) (+.f64 2 alpha) (fma.f64 5 alpha 6)))))) (pow.f64 beta 5))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (fma.f64 3 alpha 7)))
(/.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 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))) (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 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5))))))) (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))))) (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 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 5)) (*.f64 -1 (+.f64 6 (*.f64 5 alpha)))))) (*.f64 -1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))))))))) (pow.f64 beta 4))))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5))))))) (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta))) (neg.f64 (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 1 alpha) (fma.f64 (+.f64 2 alpha) (fma.f64 -2 alpha -5) (neg.f64 (+.f64 6 (*.f64 5 alpha))))) (*.f64 (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5)))) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5)))))))))) (pow.f64 beta 4)))))
(+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))))) (pow.f64 beta 3))) (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (neg.f64 (fma.f64 (+.f64 1 alpha) (-.f64 (*.f64 (fma.f64 alpha -2 -5) (+.f64 2 alpha)) (fma.f64 5 alpha 6)) (*.f64 (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5)))))))) (pow.f64 beta 4))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))) (+.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 5)) (*.f64 -1 (+.f64 6 (*.f64 5 alpha))))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 5)) (*.f64 -1 (+.f64 6 (*.f64 5 alpha)))))) (*.f64 -1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))))))))) (pow.f64 beta 4))) (/.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 6 (*.f64 5 alpha))) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 5))))) (*.f64 -1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))))))) (pow.f64 beta 5))))))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5))))))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5))))))) (/.f64 (pow.f64 beta 5) (fma.f64 (+.f64 2 alpha) (fma.f64 -2 alpha -5) (neg.f64 (+.f64 6 (*.f64 5 alpha)))))) (+.f64 (/.f64 alpha (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 1 alpha) (fma.f64 (+.f64 2 alpha) (fma.f64 -2 alpha -5) (neg.f64 (+.f64 6 (*.f64 5 alpha))))) (*.f64 (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5)))) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5)))))))))) (pow.f64 beta 4)) (/.f64 (*.f64 (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5)))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 alpha) (fma.f64 (+.f64 2 alpha) (fma.f64 -2 alpha -5) (neg.f64 (+.f64 6 (*.f64 5 alpha))))) (*.f64 (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5)))) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5))))))))))) (pow.f64 beta 5))))))))
(-.f64 (+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))))) (pow.f64 beta 3))) (-.f64 (+.f64 (/.f64 alpha (*.f64 beta beta)) (-.f64 (*.f64 (/.f64 (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))) (pow.f64 beta 5)) (neg.f64 (fma.f64 (+.f64 1 alpha) (-.f64 (*.f64 (fma.f64 alpha -2 -5) (+.f64 2 alpha)) (fma.f64 5 alpha 6)) (*.f64 (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))))))))) (/.f64 (neg.f64 (fma.f64 (+.f64 1 alpha) (-.f64 (*.f64 (fma.f64 alpha -2 -5) (+.f64 2 alpha)) (fma.f64 5 alpha 6)) (*.f64 (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5)))))))) (pow.f64 beta 4)))) (*.f64 (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))))) (pow.f64 beta 5)) (-.f64 (*.f64 (fma.f64 alpha -2 -5) (+.f64 2 alpha)) (fma.f64 5 alpha 6))))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 5)) (*.f64 (fma.f64 5 alpha 6) (+.f64 2 alpha))))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1/4 (+.f64 3 alpha))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
alpha
@0
(/.f64 1/4 (+.f64 3 alpha))
0.0ms
alpha
@inf
(/.f64 1/4 (+.f64 3 alpha))
0.0ms
alpha
@-inf
(/.f64 1/4 (+.f64 3 alpha))

rewrite66.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
700×pow1_binary64
661×add-log-exp_binary64
661×log1p-expm1-u_binary64
661×expm1-log1p-u_binary64
651×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11397
217337
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 1/4 (+.f64 3 alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (+.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 3 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/4 (+.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))) (pow.f64 (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))) 2) (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/4 (+.f64 3 alpha))) (sqrt.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (neg.f64 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 3 alpha)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 27 (pow.f64 alpha 3))) (+.f64 9 (*.f64 alpha (-.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (+.f64 3 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/4 (+.f64 3 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/4 (+.f64 3 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 3 alpha) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/4 (+.f64 3 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/4 (+.f64 3 alpha))))))))

simplify88.0ms (0.6%)

Algorithm
egg-herbie
Rules
793×fma-def_binary64
734×associate-*l*_binary64
500×associate-*r*_binary64
417×times-frac_binary64
289×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040183
1101181
2245178
3664171
41985168
57504168
Stop Event
node limit
Counts
34 → 36
Calls
Call 1
Inputs
1/12
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (*.f64 1/108 (pow.f64 alpha 2))))
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (+.f64 (*.f64 1/108 (pow.f64 alpha 2)) (*.f64 -1/324 (pow.f64 alpha 3)))))
(/.f64 1/4 alpha)
(-.f64 (*.f64 1/4 (/.f64 1 alpha)) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 1/4 alpha)
(-.f64 (*.f64 1/4 (/.f64 1 alpha)) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))))
Outputs
1/12
(+.f64 1/12 (*.f64 -1/36 alpha))
(fma.f64 -1/36 alpha 1/12)
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (*.f64 1/108 (pow.f64 alpha 2))))
(+.f64 1/12 (fma.f64 -1/36 alpha (*.f64 1/108 (*.f64 alpha alpha))))
(fma.f64 -1/36 alpha (fma.f64 alpha (*.f64 alpha 1/108) 1/12))
(fma.f64 alpha (fma.f64 alpha 1/108 -1/36) 1/12)
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (+.f64 (*.f64 1/108 (pow.f64 alpha 2)) (*.f64 -1/324 (pow.f64 alpha 3)))))
(+.f64 1/12 (fma.f64 -1/36 alpha (fma.f64 1/108 (*.f64 alpha alpha) (*.f64 -1/324 (pow.f64 alpha 3)))))
(+.f64 1/12 (fma.f64 -1/324 (pow.f64 alpha 3) (*.f64 alpha (+.f64 -1/36 (*.f64 alpha 1/108)))))
(fma.f64 alpha (*.f64 alpha (fma.f64 alpha -1/324 1/108)) (fma.f64 -1/36 alpha 1/12))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha -1/324 1/108) -1/36) 1/12)
(/.f64 1/4 alpha)
(-.f64 (*.f64 1/4 (/.f64 1 alpha)) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1/4 alpha) (/.f64 3/4 (*.f64 alpha alpha)))
(-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha))
(+.f64 (/.f64 1/4 alpha) (/.f64 -3/4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (-.f64 (/.f64 1/4 alpha) (/.f64 3/4 (*.f64 alpha alpha))))
(+.f64 (-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) (/.f64 9/4 (pow.f64 alpha 3)))
(+.f64 (/.f64 1/4 alpha) (-.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 (/.f64 3/4 alpha) alpha)))
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 -3/4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1/4 alpha) (/.f64 9/4 (pow.f64 alpha 3))) (+.f64 (/.f64 3/4 (*.f64 alpha alpha)) (/.f64 27/4 (pow.f64 alpha 4))))
(+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (-.f64 (-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) (/.f64 27/4 (pow.f64 alpha 4))))
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (+.f64 (/.f64 -3/4 (*.f64 alpha alpha)) (/.f64 -27/4 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 -27/4 (pow.f64 alpha 4)) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 -3/4 (*.f64 alpha alpha)))))
(/.f64 1/4 alpha)
(-.f64 (*.f64 1/4 (/.f64 1 alpha)) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1/4 alpha) (/.f64 3/4 (*.f64 alpha alpha)))
(-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha))
(+.f64 (/.f64 1/4 alpha) (/.f64 -3/4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (-.f64 (/.f64 1/4 alpha) (/.f64 3/4 (*.f64 alpha alpha))))
(+.f64 (-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) (/.f64 9/4 (pow.f64 alpha 3)))
(+.f64 (/.f64 1/4 alpha) (-.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 (/.f64 3/4 alpha) alpha)))
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 -3/4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1/4 alpha) (/.f64 9/4 (pow.f64 alpha 3))) (+.f64 (/.f64 3/4 (*.f64 alpha alpha)) (/.f64 27/4 (pow.f64 alpha 4))))
(+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (-.f64 (-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) (/.f64 27/4 (pow.f64 alpha 4))))
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (+.f64 (/.f64 -3/4 (*.f64 alpha alpha)) (/.f64 -27/4 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 -27/4 (pow.f64 alpha 4)) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 -3/4 (*.f64 alpha alpha)))))

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 alpha beta) beta)
0.7b
(/.f64 1 (*.f64 beta beta))
5.2b
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
Compiler

Compiled 32 to 11 computations (65.6% saved)

series13.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

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

rewrite125.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
515×log-prod_binary64
408×pow-prod-down_binary64
356×fma-def_binary64
260×pow2_binary64
260×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0930
120324
2327122
Stop Event
node limit
Counts
3 → 195
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 alpha (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 alpha) (pow.f64 beta -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 alpha) (pow.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 alpha) (pow.f64 beta -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 alpha) (pow.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 alpha (pow.f64 beta -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 alpha (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha beta) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha (pow.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 alpha (pow.f64 beta -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) beta) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) beta) 4)) (cbrt.f64 (*.f64 alpha (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (/.f64 alpha beta) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (*.f64 (cbrt.f64 (/.f64 alpha beta)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) beta) (/.f64 (sqrt.f64 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 alpha beta)) (*.f64 (sqrt.f64 (/.f64 alpha beta)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 1 (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 beta) beta)) (/.f64 alpha (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 alpha alpha)) 1) (/.f64 (cbrt.f64 alpha) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 alpha alpha)) beta) (/.f64 (cbrt.f64 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 1 beta) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 alpha alpha)) (*.f64 (cbrt.f64 beta) beta)) (cbrt.f64 (*.f64 alpha (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) (*.f64 (cbrt.f64 beta) beta)) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha 1) (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 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beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) beta) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 alpha (pow.f64 beta -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 alpha) beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) beta) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 beta (/.f64 beta alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 beta (/.f64 beta alpha)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 beta beta) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 alpha) (cbrt.f64 (pow.f64 beta -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 beta -6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 alpha beta) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) beta) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 alpha) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 alpha (pow.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) beta) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 alpha (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 alpha (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 alpha (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 alpha (pow.f64 beta -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 alpha (pow.f64 beta -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 alpha) beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) beta) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 beta alpha))) -1))))))

simplify293.0ms (2%)

Algorithm
egg-herbie
Rules
1082×sqr-pow_binary64
560×fabs-mul_binary64
560×cube-prod_binary64
523×pow-sqr_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011537
119537
230537
353537
4121537
5363537
61350537
72199537
82363537
92547537
102755537
113052537
123445537
133928537
144496537
155184537
166023537
176417537
186707537
196983537
207059537
217095537
Stop Event
node limit
Counts
255 → 203
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 1 (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 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
Outputs
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))

localize47.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
1.6b
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
Compiler

Compiled 69 to 46 computations (33.3% saved)

localize71.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 2 alpha))
0.0b
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
0.0b
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha)))
1.6b
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
Compiler

Compiled 81 to 55 computations (32.1% saved)

series45.0ms (0.3%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
30.0ms
beta
@-inf
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha)))
4.0ms
alpha
@0
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha)))
3.0ms
alpha
@-inf
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha)))
2.0ms
beta
@0
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha)))
2.0ms
alpha
@inf
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha)))

rewrite128.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
402×fma-neg_binary64
356×log1p-udef_binary64
355×expm1-udef_binary64
209×add-sqr-sqrt_binary64
203×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01635
140035
2653535
Stop Event
node limit
Counts
2 → 84
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha)))
(/.f64 1 (+.f64 2 alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta)))) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 alpha 1) (*.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 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))) (+.f64 alpha 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha 2) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (+.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 2) (/.f64 (+.f64 alpha 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (/.f64 (+.f64 alpha 2) (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.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 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta)))) (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (+.f64 (neg.f64 alpha) -2) (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 alpha)) (neg.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 alpha)) (*.f64 (+.f64 (neg.f64 alpha) -2) (*.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 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (+.f64 (neg.f64 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta)))) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) 1) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha 1) -1) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) -1) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta)))) (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) -1) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 -1 (neg.f64 alpha))) (*.f64 (+.f64 (neg.f64 alpha) -2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 (neg.f64 alpha) -2) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 1) (+.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 3 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (cbrt.f64 (pow.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (+.f64 alpha 2))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 alpha 2))) (+.f64 alpha (+.f64 3 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (+.f64 (neg.f64 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) -1) (+.f64 (neg.f64 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 -1 (neg.f64 alpha))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 3) (pow.f64 (+.f64 alpha 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 3) (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3) (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 alpha 2) -1/2) (pow.f64 (+.f64 alpha 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 alpha 2)) -1) (pow.f64 (sqrt.f64 (+.f64 alpha 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 alpha 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 alpha 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 alpha 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha 2))) 1))))))

simplify120.0ms (0.8%)

Algorithm
egg-herbie
Rules
346×distribute-rgt-in_binary64
336×distribute-lft-in_binary64
288×fma-def_binary64
254×distribute-rgt-neg-in_binary64
254×distribute-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02583032
110562757
251622753
Stop Event
node limit
Counts
120 → 142
Calls
Call 1
Inputs
(/.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)))))
(+.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 (*.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 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 7 (*.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 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (+.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)))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3))) (*.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 1 (pow.f64 alpha 2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 beta)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 5) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))) (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 beta)) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 5) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))) (*.f64 2 (+.f64 beta 3)))))) (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 5) (+.f64 beta 2)) (*.f64 2 (+.f64 beta 3))))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 5) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))) (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 beta)) (pow.f64 alpha 3))))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)))) (*.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 2)) (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) (+.f64 beta 2)))))) (pow.f64 alpha 4))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 3)) 2))) (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) (+.f64 beta 2))))) (pow.f64 alpha 5)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 5))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)))) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 2)))) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) (+.f64 beta 2)))) (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 2))) (pow.f64 alpha 5)) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)))) (*.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 2)) (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) (+.f64 beta 2)))))) (pow.f64 alpha 4)))))))))
(/.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 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (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 (pow.f64 beta 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (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 (pow.f64 beta 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 3)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)))
(+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 2 alpha))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (+.f64 2 alpha))) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 2 alpha)))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (+.f64 2 alpha))) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (+.f64 2 alpha))) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 3 alpha))))) (pow.f64 beta 5)))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)))
(+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 5) (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 3 alpha))) (*.f64 (pow.f64 beta 5) (+.f64 2 alpha)))))))))
1/2
(+.f64 1/2 (*.f64 -1/4 alpha))
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 1/2 (*.f64 -1/4 alpha)))
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 1/2 (+.f64 (*.f64 -1/4 alpha) (*.f64 -1/16 (pow.f64 alpha 3)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
Outputs
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.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)))))
(fma.f64 alpha (-.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 (*.f64 1/4 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (*.f64 (*.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)))
(fma.f64 alpha (+.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (*.f64 beta 4))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) -1/4)) (/.f64 (/.f64 1/2 (+.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 (*.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 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 (*.f64 1/4 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (*.f64 (*.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))) (neg.f64 (*.f64 (fma.f64 1/2 (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (*.f64 (*.f64 beta 2) 2))) (+.f64 beta 3)) (/.f64 (-.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 (*.f64 1/4 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (*.f64 (*.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2))) (/.f64 (*.f64 1/4 (+.f64 (*.f64 beta 2) 7)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha))))
(-.f64 (fma.f64 alpha (+.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (*.f64 beta 4))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) -1/4)) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))) (*.f64 (fma.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (*.f64 beta 4))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) -1/4)) (+.f64 beta 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (*.f64 beta 4))) (+.f64 beta 3))) (*.f64 1/4 (/.f64 (/.f64 (fma.f64 beta 2 7) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)))) (*.f64 alpha alpha)))
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(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (+.f64 2 alpha))) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (+.f64 2 alpha))) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 3 alpha))))) (pow.f64 beta 5)))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2))) (*.f64 (+.f64 alpha 1) (+.f64 3 alpha))) (pow.f64 beta 4)) (+.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 2 alpha)) (/.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 2 alpha))) (*.f64 -1 (+.f64 (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (pow.f64 beta 3))) (/.f64 (fma.f64 -1 (*.f64 (+.f64 5 (*.f64 2 alpha)) (fma.f64 -1 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2))) (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)))) (neg.f64 (*.f64 (+.f64 alpha 1) (*.f64 (+.f64 3 alpha) (+.f64 5 (*.f64 2 alpha)))))) (pow.f64 beta 5))))))
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 2 alpha)) (fma.f64 -1 (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (fma.f64 2 alpha 5) (+.f64 2 alpha)) (/.f64 (neg.f64 (fma.f64 (fma.f64 2 alpha 5) (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 alpha) (pow.f64 (fma.f64 2 alpha 5) 2)))) (*.f64 (+.f64 3 alpha) (*.f64 (+.f64 alpha 1) (fma.f64 2 alpha 5))))) (pow.f64 beta 5))) (/.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 beta beta)))) (/.f64 (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 alpha) (pow.f64 (fma.f64 2 alpha 5) 2)))) (pow.f64 beta 4)))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 2 alpha)) (-.f64 (/.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (pow.f64 beta 3))) (fma.f64 2 alpha 5)))) (/.f64 (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 alpha) (pow.f64 (fma.f64 2 alpha 5) 2)))) (pow.f64 beta 4))) (/.f64 (fma.f64 (fma.f64 2 alpha 5) (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 alpha) (pow.f64 (fma.f64 2 alpha 5) 2)))) (*.f64 (+.f64 3 alpha) (*.f64 (+.f64 alpha 1) (fma.f64 2 alpha 5)))) (pow.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (*.f64 beta beta)))
(/.f64 (+.f64 alpha 1) (*.f64 beta (*.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 2 alpha)) (/.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 2 alpha))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 2 alpha)) (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 beta beta))))
(+.f64 (/.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 2 alpha)) (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (*.f64 (+.f64 -2 (neg.f64 alpha)) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 beta beta))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))))))
(fma.f64 -1 (/.f64 (fma.f64 (+.f64 alpha 1) (+.f64 3 alpha) (neg.f64 (/.f64 (+.f64 alpha 1) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))) 2))))) (pow.f64 beta 4)) (+.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 2 alpha)) (/.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 2 alpha))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 2)))))
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 2 alpha)) (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 beta beta)))) (/.f64 (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) 2))) (pow.f64 beta 4)))
(+.f64 (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (*.f64 (+.f64 -2 (neg.f64 alpha)) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 beta beta))) (-.f64 (/.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 2 alpha)) (/.f64 (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 (+.f64 -2 (neg.f64 alpha)) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) 2))) (pow.f64 beta 4))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 5) (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 3 alpha))) (*.f64 (pow.f64 beta 5) (+.f64 2 alpha)))))))))
(fma.f64 -1 (/.f64 (fma.f64 (+.f64 alpha 1) (+.f64 3 alpha) (neg.f64 (/.f64 (+.f64 alpha 1) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))) 2))))) (pow.f64 beta 4)) (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 2 alpha)) (fma.f64 -1 (*.f64 (/.f64 (fma.f64 (+.f64 alpha 1) (+.f64 3 alpha) (neg.f64 (/.f64 (+.f64 alpha 1) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))) 2))))) (pow.f64 beta 5)) (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))) (+.f64 (+.f64 (/.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 2)))) (neg.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 5)) (/.f64 (*.f64 (+.f64 3 alpha) (*.f64 -1 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha))))))))
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 2 alpha)) (-.f64 (-.f64 (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 beta beta))) (*.f64 (/.f64 (*.f64 (neg.f64 (+.f64 alpha 1)) (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (/.f64 (+.f64 3 alpha) (pow.f64 beta 5)))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) 2))) (pow.f64 beta 5)) (/.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha))))) (/.f64 (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) 2))) (pow.f64 beta 4)))
(+.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (*.f64 (+.f64 -2 (neg.f64 alpha)) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 beta beta))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 5)) (/.f64 (+.f64 3 alpha) (/.f64 (+.f64 2 alpha) (*.f64 (+.f64 -2 (neg.f64 alpha)) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))))))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 (+.f64 -2 (neg.f64 alpha)) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) 2))) (pow.f64 beta 5)) (/.f64 (*.f64 (+.f64 -2 (neg.f64 alpha)) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) (+.f64 2 alpha)))) (-.f64 (/.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 2 alpha)) (/.f64 (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 (+.f64 -2 (neg.f64 alpha)) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) 2))) (pow.f64 beta 4))))
1/2
(+.f64 1/2 (*.f64 -1/4 alpha))
(+.f64 1/2 (*.f64 alpha -1/4))
(fma.f64 alpha -1/4 1/2)
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 1/2 (*.f64 -1/4 alpha)))
(fma.f64 1/8 (*.f64 alpha alpha) (+.f64 1/2 (*.f64 alpha -1/4)))
(fma.f64 (*.f64 alpha alpha) 1/8 (fma.f64 alpha -1/4 1/2))
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 1/2 (+.f64 (*.f64 -1/4 alpha) (*.f64 -1/16 (pow.f64 alpha 3)))))
(fma.f64 1/8 (*.f64 alpha alpha) (+.f64 1/2 (fma.f64 -1/4 alpha (*.f64 (pow.f64 alpha 3) -1/16))))
(+.f64 (fma.f64 (*.f64 alpha alpha) 1/8 (fma.f64 alpha -1/4 1/2)) (*.f64 (pow.f64 alpha 3) -1/16))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 -2 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 4)))))
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (+.f64 (/.f64 1 alpha) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 -8 (pow.f64 alpha 4))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 -2 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 4)))))
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (+.f64 (/.f64 1 alpha) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 -8 (pow.f64 alpha 4))))

eval937.0ms (6.5%)

Compiler

Compiled 38601 to 28507 computations (26.1% saved)

prune254.0ms (1.8%)

Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New94913962
Fresh41014
Picked101
Done246
Total95627983
Error
0b
Counts
983 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
28.4b
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
34.4b
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 2 alpha)))
2.9b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
3.1b
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
37.4b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
29.1b
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
34.1b
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
25.6b
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
35.8b
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta))
9.9b
(/.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))))
34.7b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
25.0b
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1)
35.4b
(/.f64 1/4 (+.f64 3 alpha))
29.0b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
35.5b
(+.f64 1/12 (*.f64 -1/36 alpha))
28.1b
(+.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (*.f64 beta (/.f64 beta alpha)) -1))
62.4b
(/.f64 1/4 alpha)
24.6b
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
35.5b
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
27.6b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
28.1b
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
35.8b
1/12
33.1b
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)
2.6b
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
30.0b
(/.f64 1 (*.f64 beta beta))
29.4b
(+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 (/.f64 (cbrt.f64 (*.f64 alpha alpha)) beta) (/.f64 (cbrt.f64 alpha) beta)))
42.0b
(/.f64 (/.f64 alpha beta) beta)
Compiler

Compiled 747 to 572 computations (23.4% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 66 to 47 computations (28.8% saved)

series17.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

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

rewrite126.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
830×prod-diff_binary64
311×expm1-udef_binary64
311×log1p-udef_binary64
182×add-sqr-sqrt_binary64
176×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01548
137145
2565445
Stop Event
node limit
Counts
3 → 116
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 1 (+.f64 beta 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))))) (#(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 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (/.f64 1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) (sqrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 2) -1/2) (*.f64 (pow.f64 (+.f64 beta 2) -1/2) (/.f64 1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 beta 2)) (/.f64 1 (+.f64 (neg.f64 beta) -3)))))) (#(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 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta 2) -1/2) 1) (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 (/.f64 1 (+.f64 beta 2)) (cbrt.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (cbrt.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 3))) (/.f64 (/.f64 1 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (sqrt.f64 (+.f64 beta 3))) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 27 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 beta beta -9)) (+.f64 beta -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (neg.f64 beta) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) -2) (pow.f64 (+.f64 beta 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 beta 2)) 3) (pow.f64 (+.f64 beta 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)) (*.f64 (+.f64 beta 2) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 beta 3) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha))) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 beta 3) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (+.f64 beta 2) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (+.f64 beta 2)) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)) (+.f64 (neg.f64 beta) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 beta)) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (neg.f64 (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) (+.f64 beta 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta 3))) (+.f64 beta (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2))) (neg.f64 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (+.f64 (neg.f64 beta) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) (neg.f64 (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 1 beta)) 1) (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 2) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (+.f64 beta 2)) 1) (*.f64 (+.f64 (neg.f64 beta) -3) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (+.f64 beta 2)) (+.f64 1 beta)) (*.f64 (+.f64 (neg.f64 beta) -3) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 (+.f64 1 beta))) (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (+.f64 beta 2)) (neg.f64 (+.f64 1 beta))) (*.f64 (+.f64 (neg.f64 beta) -3) (neg.f64 (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 beta 2))) (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 beta) (/.f64 -1 (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (neg.f64 beta) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 1 beta)) (/.f64 -1 (+.f64 beta 2))) (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 (neg.f64 beta) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) 1) (+.f64 beta 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 1) (+.f64 beta (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta 3))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (+.f64 beta 2)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) (+.f64 (neg.f64 beta) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 1 beta)) (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) (neg.f64 (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) (neg.f64 (+.f64 1 beta))) (neg.f64 (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (/.f64 -1 (+.f64 beta 2))) (+.f64 (neg.f64 beta) -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 2) -1/2) (pow.f64 (+.f64 beta 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (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 (sqrt.f64 (+.f64 beta 2)) -1) (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 beta beta))) (-.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta 2))) 1))))))

simplify107.0ms (0.7%)

Algorithm
egg-herbie
Rules
623×associate-*l*_binary64
622×associate-*r*_binary64
343×associate-/r*_binary64
251×associate-*l/_binary64
245×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02192279
17382227
229142100
Stop Event
node limit
Counts
164 → 179
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)))))
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 6 (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (*.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (*.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (*.f64 -6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)) (pow.f64 beta 5)) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 7 alpha) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (*.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (+.f64 7 alpha)) (pow.f64 beta 5))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))
1/2
(+.f64 (*.f64 -1/4 beta) 1/2)
(+.f64 (*.f64 -1/4 beta) (+.f64 1/2 (*.f64 1/8 (pow.f64 beta 2))))
(+.f64 (*.f64 -1/4 beta) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 beta 2)) (*.f64 -1/16 (pow.f64 beta 3)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
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 beta -65/1296))))
(/.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 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 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (/.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 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 65 (pow.f64 beta 5)))) (/.f64 -5 (pow.f64 beta 3)))
(+.f64 (/.f64 -5 (pow.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 65 (pow.f64 beta 5)))))
(/.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 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 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (/.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 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 65 (pow.f64 beta 5)))) (/.f64 -5 (pow.f64 beta 3)))
(+.f64 (/.f64 -5 (pow.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 65 (pow.f64 beta 5)))))
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))
(fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 1/36 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))
(fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (+.f64 (*.f64 (+.f64 4 alpha) 1/12) (*.f64 (+.f64 2 alpha) 1/18)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/6 (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))))) (*.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha))))
(-.f64 (fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 1/36 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha))) (*.f64 beta (*.f64 beta (fma.f64 1/6 (*.f64 (/.f64 (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 1/36 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 3 alpha)))) (/.f64 (+.f64 7/36 (*.f64 1/36 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))
(-.f64 (fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (+.f64 (*.f64 (+.f64 4 alpha) 1/12) (*.f64 (+.f64 2 alpha) 1/18)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/6 (+.f64 2 alpha))) (*.f64 beta (*.f64 beta (fma.f64 1/6 (*.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 3 alpha))) (+.f64 2 alpha)) (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (+.f64 (*.f64 (+.f64 4 alpha) 1/12) (*.f64 (+.f64 2 alpha) 1/18)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 alpha 7))))))
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(+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 (/.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))) (*.f64 alpha (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 3))))))
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(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))))
(+.f64 (/.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3)) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (/.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))) (+.f64 (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)) (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 5))) (pow.f64 alpha 3))) (fma.f64 (neg.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 3)))) alpha (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 alpha (/.f64 (+.f64 beta 2) (+.f64 (/.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 alpha (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))))) (+.f64 (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3))) (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 alpha (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 beta (*.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)))
(+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 beta (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 beta (*.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))))
(+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) (/.f64 beta (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2)))))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 beta (*.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha))) (-.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 beta (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 beta (*.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)))
(+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 beta (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 beta (*.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))))
(+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) (/.f64 beta (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2)))))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 beta (*.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha))) (-.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 beta (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)))
1/2
(+.f64 (*.f64 -1/4 beta) 1/2)
(fma.f64 -1/4 beta 1/2)
(fma.f64 beta -1/4 1/2)
(+.f64 (*.f64 -1/4 beta) (+.f64 1/2 (*.f64 1/8 (pow.f64 beta 2))))
(+.f64 (fma.f64 -1/4 beta 1/2) (*.f64 (*.f64 beta beta) 1/8))
(fma.f64 beta -1/4 (fma.f64 (*.f64 beta beta) 1/8 1/2))
(+.f64 (*.f64 -1/4 beta) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 beta 2)) (*.f64 -1/16 (pow.f64 beta 3)))))
(+.f64 (fma.f64 -1/4 beta 1/2) (fma.f64 1/8 (*.f64 beta beta) (*.f64 (pow.f64 beta 3) -1/16)))
(+.f64 (fma.f64 beta -1/4 1/2) (fma.f64 (*.f64 beta beta) 1/8 (*.f64 (pow.f64 beta 3) -1/16)))
(+.f64 (fma.f64 beta -1/4 1/2) (*.f64 (*.f64 beta beta) (+.f64 1/8 (*.f64 -1/16 beta))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 2 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 2 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 -2 (*.f64 beta beta))))
(+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3))) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 -2 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 4)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 2 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 2 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 -2 (*.f64 beta beta))))
(+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3))) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 -2 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 4)))))

localize6.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize25.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1/4 (+.f64 3 alpha))
3.6b
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)
Compiler

Compiled 30 to 25 computations (16.7% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)
1.0ms
alpha
@inf
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)
1.0ms
alpha
@-inf
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)

rewrite91.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
565×unpow-prod-down_binary64
381×prod-diff_binary64
379×fma-def_binary64
366×log-prod_binary64
239×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0913
12147
229437
Stop Event
node limit
Counts
1 → 99
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (+.f64 3 alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/4 (+.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (+.f64 3 alpha)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (+.f64 3 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (+.f64 3 alpha))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (+.f64 3 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/4 (+.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (+.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 3 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))) (pow.f64 (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))) 2) (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 (+.f64 3 alpha))) (/.f64 1/2 (sqrt.f64 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (+.f64 (neg.f64 alpha) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (pow.f64 (/.f64 1 (+.f64 (neg.f64 alpha) -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 2) (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 2) (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 3 alpha)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))) (/.f64 1 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))) (pow.f64 (/.f64 1 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 27 (pow.f64 alpha 3))) (fma.f64 alpha (-.f64 alpha 3) 9))))) (#(struct:change #<rule 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1/4 (+.f64 3 alpha)))) 2) 3) (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/64 1/3) (/.f64 1 (+.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) 1/4) 1/3) (cbrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 1/4 (+.f64 3 alpha)) (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1/2 (sqrt.f64 (+.f64 3 alpha)))) 1/3) (cbrt.f64 (/.f64 1/2 (sqrt.f64 (+.f64 3 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 3 alpha) 4)) 2) -1) (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (+.f64 3 alpha) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 2) (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 3 alpha) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (+.f64 3 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (neg.f64 (+.f64 (neg.f64 alpha) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (+.f64 (neg.f64 alpha) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 2) (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (+.f64 3 alpha) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))) (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 2) (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha)))))) (neg.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 2) (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 2)) (-.f64 1 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/4 (sqrt.f64 (+.f64 3 alpha))) (sqrt.f64 (+.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (+.f64 3 alpha)) 2)) (cbrt.f64 (+.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (+.f64 3 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (sqrt.f64 (+.f64 3 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/64 (pow.f64 (+.f64 3 alpha) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 3 alpha) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 2) (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 3 alpha) 4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (+.f64 3 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/64 (pow.f64 (+.f64 3 alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (/.f64 1/2 (sqrt.f64 (+.f64 3 alpha))) (sqrt.f64 (-.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1/4 (+.f64 3 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/4 (+.f64 3 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/4 (+.f64 3 alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 (/.f64 1 (+.f64 3 alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/4 (+.f64 3 alpha)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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alpha)))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (sqrt.f64 (+.f64 3 alpha))) (/.f64 1/2 (sqrt.f64 (+.f64 3 alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (/.f64 1 (+.f64 (neg.f64 alpha) -3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 2) (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/64 (pow.f64 (+.f64 3 alpha) -3) 1) (/.f64 1 (fma.f64 (/.f64 1/4 (+.f64 3 alpha)) (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 3 alpha)) 1/4 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))) (/.f64 1 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (-.f64 1 (/.f64 1/4 (+.f64 3 alpha)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1)) (sqrt.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/2 (sqrt.f64 (+.f64 3 alpha))) 1) (-.f64 (/.f64 1/2 (sqrt.f64 (+.f64 3 alpha))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/4 (+.f64 27 (pow.f64 alpha 3))) (fma.f64 alpha (-.f64 alpha 3) 9) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/4 (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha) 0)))))

simplify70.0ms (0.5%)

Algorithm
egg-herbie
Rules
793×fma-def_binary64
734×associate-*l*_binary64
500×associate-*r*_binary64
417×times-frac_binary64
289×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040183
1101181
2245178
3664171
41985168
57504168
Stop Event
node limit
Counts
111 → 113
Calls
Call 1
Inputs
1/12
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (*.f64 1/108 (pow.f64 alpha 2))))
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (+.f64 (*.f64 1/108 (pow.f64 alpha 2)) (*.f64 -1/324 (pow.f64 alpha 3)))))
(/.f64 1/4 alpha)
(-.f64 (*.f64 1/4 (/.f64 1 alpha)) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 1/4 alpha)
(-.f64 (*.f64 1/4 (/.f64 1 alpha)) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))))
Outputs
1/12
(+.f64 1/12 (*.f64 -1/36 alpha))
(fma.f64 -1/36 alpha 1/12)
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (*.f64 1/108 (pow.f64 alpha 2))))
(+.f64 1/12 (fma.f64 -1/36 alpha (*.f64 1/108 (*.f64 alpha alpha))))
(fma.f64 -1/36 alpha (fma.f64 alpha (*.f64 alpha 1/108) 1/12))
(fma.f64 alpha (fma.f64 alpha 1/108 -1/36) 1/12)
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (+.f64 (*.f64 1/108 (pow.f64 alpha 2)) (*.f64 -1/324 (pow.f64 alpha 3)))))
(+.f64 1/12 (fma.f64 -1/36 alpha (fma.f64 1/108 (*.f64 alpha alpha) (*.f64 -1/324 (pow.f64 alpha 3)))))
(+.f64 1/12 (fma.f64 -1/324 (pow.f64 alpha 3) (*.f64 alpha (+.f64 -1/36 (*.f64 alpha 1/108)))))
(fma.f64 alpha (*.f64 alpha (fma.f64 alpha -1/324 1/108)) (fma.f64 -1/36 alpha 1/12))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha -1/324 1/108) -1/36) 1/12)
(/.f64 1/4 alpha)
(-.f64 (*.f64 1/4 (/.f64 1 alpha)) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1/4 alpha) (/.f64 3/4 (*.f64 alpha alpha)))
(-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha))
(+.f64 (/.f64 1/4 alpha) (/.f64 -3/4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (-.f64 (/.f64 1/4 alpha) (/.f64 3/4 (*.f64 alpha alpha))))
(+.f64 (-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) (/.f64 9/4 (pow.f64 alpha 3)))
(+.f64 (/.f64 1/4 alpha) (-.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 (/.f64 3/4 alpha) alpha)))
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 -3/4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1/4 alpha) (/.f64 9/4 (pow.f64 alpha 3))) (+.f64 (/.f64 3/4 (*.f64 alpha alpha)) (/.f64 27/4 (pow.f64 alpha 4))))
(+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (-.f64 (-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) (/.f64 27/4 (pow.f64 alpha 4))))
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (+.f64 (/.f64 -3/4 (*.f64 alpha alpha)) (/.f64 -27/4 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 -27/4 (pow.f64 alpha 4)) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 -3/4 (*.f64 alpha alpha)))))
(/.f64 1/4 alpha)
(-.f64 (*.f64 1/4 (/.f64 1 alpha)) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1/4 alpha) (/.f64 3/4 (*.f64 alpha alpha)))
(-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha))
(+.f64 (/.f64 1/4 alpha) (/.f64 -3/4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (-.f64 (/.f64 1/4 alpha) (/.f64 3/4 (*.f64 alpha alpha))))
(+.f64 (-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) (/.f64 9/4 (pow.f64 alpha 3)))
(+.f64 (/.f64 1/4 alpha) (-.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 (/.f64 3/4 alpha) alpha)))
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 -3/4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1/4 alpha) (/.f64 9/4 (pow.f64 alpha 3))) (+.f64 (/.f64 3/4 (*.f64 alpha alpha)) (/.f64 27/4 (pow.f64 alpha 4))))
(+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (-.f64 (-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) (/.f64 27/4 (pow.f64 alpha 4))))
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (+.f64 (/.f64 -3/4 (*.f64 alpha alpha)) (/.f64 -27/4 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 -27/4 (pow.f64 alpha 4)) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 -3/4 (*.f64 alpha alpha)))))

localize33.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))
1.2b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
Compiler

Compiled 43 to 33 computations (23.3% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
alpha
@inf
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
1.0ms
alpha
@-inf
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
1.0ms
alpha
@0
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
1.0ms
alpha
@inf
(*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))
1.0ms
alpha
@0
(*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))

rewrite85.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
631×log-prod_binary64
414×prod-diff_binary64
336×fma-def_binary64
238×expm1-udef_binary64
238×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01232
127828
2397228
Stop Event
node limit
Counts
2 → 119
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
(*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 alpha 5) 2 12) (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (fma.f64 alpha 5 6)) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (*.f64 alpha 5) 2 12) 1) (*.f64 (*.f64 alpha (fma.f64 alpha 5 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 (+.f64 alpha 2)) (*.f64 (*.f64 alpha 5) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha 5) (+.f64 alpha 2)) (*.f64 6 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha 2) 6) (*.f64 (+.f64 alpha 2) (*.f64 alpha 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha 5)) (*.f64 (+.f64 alpha 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 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(*.f64 25 (*.f64 alpha alpha))) (+.f64 alpha 2)) (+.f64 6 (*.f64 -5 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (fma.f64 alpha 5 6)) (fma.f64 alpha (-.f64 alpha 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (fma.f64 alpha 5 6)) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha (-.f64 alpha 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 alpha 5 6) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha 2) (fma.f64 125 (pow.f64 alpha 3) 216)) (fma.f64 (*.f64 alpha 5) (fma.f64 alpha 5 -6) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha 2) (-.f64 36 (*.f64 25 (*.f64 alpha alpha)))) (+.f64 6 (*.f64 -5 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 alpha 2)) (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 alpha (fma.f64 alpha 5 6))) (exp.f64 (fma.f64 (*.f64 alpha 5) 2 12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 alpha 5 6) 3) (pow.f64 (+.f64 alpha 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (fma.f64 alpha 5 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (*.f64 alpha 5) 2 12) (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 alpha (fma.f64 alpha 5 6)) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (fma.f64 alpha 5 6) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 (+.f64 alpha 2) (*.f64 (*.f64 alpha 5) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha 5) (+.f64 alpha 2) (*.f64 6 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 alpha 5 6) alpha (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 alpha 5 6) 2 (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (fma.f64 alpha 5 6) (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 2) 6 (*.f64 (+.f64 alpha 2) (*.f64 alpha 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 2) (*.f64 alpha 5) (*.f64 (+.f64 alpha 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha 5 6) 2)) (*.f64 (cbrt.f64 (fma.f64 alpha 5 6)) alpha) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha 5 6) 2)) (*.f64 (cbrt.f64 (fma.f64 alpha 5 6)) 2) (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (fma.f64 alpha 5 6)) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 alpha 5 6)) (*.f64 (sqrt.f64 (fma.f64 alpha 5 6)) alpha) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 alpha 5 6)) (*.f64 (sqrt.f64 (fma.f64 alpha 5 6)) 2) (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (fma.f64 alpha 5 6)) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (*.f64 alpha 5) 2 12) 1 (*.f64 (*.f64 alpha (fma.f64 alpha 5 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 alpha 5) 2 12)) (cbrt.f64 (fma.f64 (*.f64 alpha 5) 2 12))) (cbrt.f64 (fma.f64 (*.f64 alpha 5) 2 12)) (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 alpha (fma.f64 alpha 5 6))) (cbrt.f64 (*.f64 alpha (fma.f64 alpha 5 6)))) (cbrt.f64 (*.f64 alpha (fma.f64 alpha 5 6))) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 alpha 5) 2 12)) (sqrt.f64 (fma.f64 (*.f64 alpha 5) 2 12)) (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 alpha (fma.f64 alpha 5 6))) (sqrt.f64 (*.f64 alpha (fma.f64 alpha 5 6))) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (fma.f64 alpha 5 6)) (sqrt.f64 alpha)) (*.f64 (sqrt.f64 (fma.f64 alpha 5 6)) (sqrt.f64 alpha)) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 alpha) (sqrt.f64 (fma.f64 alpha 5 6))) (*.f64 (sqrt.f64 alpha) (sqrt.f64 (fma.f64 alpha 5 6))) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 alpha 5 6) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 alpha 5 6) (sqrt.f64 alpha)) (sqrt.f64 alpha) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha (cbrt.f64 (pow.f64 (fma.f64 alpha 5 6) 2))) (cbrt.f64 (fma.f64 alpha 5 6)) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha (sqrt.f64 (fma.f64 alpha 5 6))) (sqrt.f64 (fma.f64 alpha 5 6)) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 (fma.f64 alpha 5 6) 2))) (cbrt.f64 (fma.f64 alpha 5 6)) (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (fma.f64 alpha 5 6))) (sqrt.f64 (fma.f64 alpha 5 6)) (*.f64 alpha (fma.f64 alpha 5 6)))))))

simplify55.0ms (0.4%)

Algorithm
egg-herbie
Rules
825×fma-def_binary64
774×distribute-neg-frac_binary64
417×times-frac_binary64
376×distribute-rgt-neg-in_binary64
352×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
048311
1117295
2277290
3725261
42130258
56061258
Stop Event
node limit
Counts
143 → 142
Calls
Call 1
Inputs
1/12
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (*.f64 1/432 (pow.f64 alpha 2))))
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (+.f64 (*.f64 1/432 (pow.f64 alpha 2)) (*.f64 11/1296 (pow.f64 alpha 3)))))
(/.f64 1/5 alpha)
(-.f64 (*.f64 1/5 (/.f64 1 alpha)) (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 116/125 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/5 (/.f64 1 alpha))) (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 116/125 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/5 (/.f64 1 alpha))) (+.f64 (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1196/625 (/.f64 1 (pow.f64 alpha 4)))))
(/.f64 1/5 alpha)
(-.f64 (*.f64 1/5 (/.f64 1 alpha)) (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 116/125 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/5 (/.f64 1 alpha))) (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 116/125 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/5 (/.f64 1 alpha))) (+.f64 (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1196/625 (/.f64 1 (pow.f64 alpha 4)))))
12
(+.f64 12 (*.f64 16 alpha))
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha)))
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha)))
(*.f64 5 (pow.f64 alpha 2))
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (*.f64 16 alpha))
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha)))
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha)))
(*.f64 5 (pow.f64 alpha 2))
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (*.f64 16 alpha))
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha)))
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha)))
Outputs
1/12
(+.f64 1/12 (*.f64 -1/36 alpha))
(fma.f64 -1/36 alpha 1/12)
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (*.f64 1/432 (pow.f64 alpha 2))))
(+.f64 1/12 (fma.f64 -1/36 alpha (*.f64 1/432 (*.f64 alpha alpha))))
(+.f64 1/12 (fma.f64 -1/36 alpha (*.f64 alpha (*.f64 alpha 1/432))))
(fma.f64 -1/36 alpha (fma.f64 alpha (*.f64 alpha 1/432) 1/12))
(fma.f64 alpha (fma.f64 alpha 1/432 -1/36) 1/12)
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (+.f64 (*.f64 1/432 (pow.f64 alpha 2)) (*.f64 11/1296 (pow.f64 alpha 3)))))
(+.f64 1/12 (fma.f64 -1/36 alpha (fma.f64 1/432 (*.f64 alpha alpha) (*.f64 11/1296 (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1/36 alpha 1/12) (*.f64 (*.f64 alpha alpha) (+.f64 1/432 (*.f64 alpha 11/1296))))
(fma.f64 (*.f64 alpha alpha) (fma.f64 alpha 11/1296 1/432) (fma.f64 -1/36 alpha 1/12))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha 11/1296 1/432) -1/36) 1/12)
(/.f64 1/5 alpha)
(-.f64 (*.f64 1/5 (/.f64 1 alpha)) (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1/5 alpha) (/.f64 11/25 (*.f64 alpha alpha)))
(+.f64 (/.f64 1/5 alpha) (/.f64 -11/25 (*.f64 alpha alpha)))
(+.f64 (/.f64 1/5 alpha) (/.f64 (/.f64 -11/25 alpha) alpha))
(-.f64 (+.f64 (*.f64 116/125 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/5 (/.f64 1 alpha))) (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (-.f64 (/.f64 1/5 alpha) (/.f64 11/25 (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 1/5 alpha) (/.f64 116/125 (pow.f64 alpha 3))) (/.f64 -11/25 (*.f64 alpha alpha)))
(+.f64 (/.f64 1/5 alpha) (-.f64 (/.f64 116/125 (pow.f64 alpha 3)) (/.f64 11/25 (*.f64 alpha alpha))))
(+.f64 (/.f64 1/5 alpha) (+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (/.f64 (/.f64 -11/25 alpha) alpha)))
(-.f64 (+.f64 (*.f64 116/125 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/5 (/.f64 1 alpha))) (+.f64 (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1196/625 (/.f64 1 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 1/5 alpha) (/.f64 116/125 (pow.f64 alpha 3))) (+.f64 (/.f64 11/25 (*.f64 alpha alpha)) (/.f64 1196/625 (pow.f64 alpha 4))))
(+.f64 (+.f64 (/.f64 1/5 alpha) (/.f64 116/125 (pow.f64 alpha 3))) (-.f64 (/.f64 -11/25 (*.f64 alpha alpha)) (/.f64 1196/625 (pow.f64 alpha 4))))
(+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (+.f64 (/.f64 1/5 alpha) (-.f64 (/.f64 -11/25 (*.f64 alpha alpha)) (/.f64 1196/625 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1/5 alpha) (+.f64 (/.f64 -11/25 (*.f64 alpha alpha)) (+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (/.f64 -1196/625 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1/5 alpha) (+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (+.f64 (/.f64 (/.f64 -11/25 alpha) alpha) (/.f64 -1196/625 (pow.f64 alpha 4)))))
(/.f64 1/5 alpha)
(-.f64 (*.f64 1/5 (/.f64 1 alpha)) (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1/5 alpha) (/.f64 11/25 (*.f64 alpha alpha)))
(+.f64 (/.f64 1/5 alpha) (/.f64 -11/25 (*.f64 alpha alpha)))
(+.f64 (/.f64 1/5 alpha) (/.f64 (/.f64 -11/25 alpha) alpha))
(-.f64 (+.f64 (*.f64 116/125 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/5 (/.f64 1 alpha))) (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (-.f64 (/.f64 1/5 alpha) (/.f64 11/25 (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 1/5 alpha) (/.f64 116/125 (pow.f64 alpha 3))) (/.f64 -11/25 (*.f64 alpha alpha)))
(+.f64 (/.f64 1/5 alpha) (-.f64 (/.f64 116/125 (pow.f64 alpha 3)) (/.f64 11/25 (*.f64 alpha alpha))))
(+.f64 (/.f64 1/5 alpha) (+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (/.f64 (/.f64 -11/25 alpha) alpha)))
(-.f64 (+.f64 (*.f64 116/125 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/5 (/.f64 1 alpha))) (+.f64 (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1196/625 (/.f64 1 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 1/5 alpha) (/.f64 116/125 (pow.f64 alpha 3))) (+.f64 (/.f64 11/25 (*.f64 alpha alpha)) (/.f64 1196/625 (pow.f64 alpha 4))))
(+.f64 (+.f64 (/.f64 1/5 alpha) (/.f64 116/125 (pow.f64 alpha 3))) (-.f64 (/.f64 -11/25 (*.f64 alpha alpha)) (/.f64 1196/625 (pow.f64 alpha 4))))
(+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (+.f64 (/.f64 1/5 alpha) (-.f64 (/.f64 -11/25 (*.f64 alpha alpha)) (/.f64 1196/625 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1/5 alpha) (+.f64 (/.f64 -11/25 (*.f64 alpha alpha)) (+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (/.f64 -1196/625 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1/5 alpha) (+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (+.f64 (/.f64 (/.f64 -11/25 alpha) alpha) (/.f64 -1196/625 (pow.f64 alpha 4)))))
12
(+.f64 12 (*.f64 16 alpha))
(+.f64 12 (*.f64 alpha 16))
(fma.f64 alpha 16 12)
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha)))
(fma.f64 5 (*.f64 alpha alpha) (+.f64 12 (*.f64 alpha 16)))
(fma.f64 (*.f64 alpha alpha) 5 (fma.f64 alpha 16 12))
(fma.f64 alpha 16 (fma.f64 alpha (*.f64 alpha 5) 12))
(fma.f64 alpha (fma.f64 alpha 5 16) 12)
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha)))
(fma.f64 5 (*.f64 alpha alpha) (+.f64 12 (*.f64 alpha 16)))
(fma.f64 (*.f64 alpha alpha) 5 (fma.f64 alpha 16 12))
(fma.f64 alpha 16 (fma.f64 alpha (*.f64 alpha 5) 12))
(fma.f64 alpha (fma.f64 alpha 5 16) 12)
(*.f64 5 (pow.f64 alpha 2))
(*.f64 (*.f64 alpha alpha) 5)
(*.f64 alpha (*.f64 alpha 5))
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (*.f64 16 alpha))
(fma.f64 5 (*.f64 alpha alpha) (*.f64 alpha 16))
(fma.f64 alpha 16 (*.f64 alpha (*.f64 alpha 5)))
(*.f64 alpha (+.f64 16 (*.f64 alpha 5)))
(*.f64 alpha (fma.f64 alpha 5 16))
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha)))
(fma.f64 5 (*.f64 alpha alpha) (+.f64 12 (*.f64 alpha 16)))
(fma.f64 (*.f64 alpha alpha) 5 (fma.f64 alpha 16 12))
(fma.f64 alpha 16 (fma.f64 alpha (*.f64 alpha 5) 12))
(fma.f64 alpha (fma.f64 alpha 5 16) 12)
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha)))
(fma.f64 5 (*.f64 alpha alpha) (+.f64 12 (*.f64 alpha 16)))
(fma.f64 (*.f64 alpha alpha) 5 (fma.f64 alpha 16 12))
(fma.f64 alpha 16 (fma.f64 alpha (*.f64 alpha 5) 12))
(fma.f64 alpha (fma.f64 alpha 5 16) 12)
(*.f64 5 (pow.f64 alpha 2))
(*.f64 (*.f64 alpha alpha) 5)
(*.f64 alpha (*.f64 alpha 5))
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (*.f64 16 alpha))
(fma.f64 5 (*.f64 alpha alpha) (*.f64 alpha 16))
(fma.f64 alpha 16 (*.f64 alpha (*.f64 alpha 5)))
(*.f64 alpha (+.f64 16 (*.f64 alpha 5)))
(*.f64 alpha (fma.f64 alpha 5 16))
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha)))
(fma.f64 5 (*.f64 alpha alpha) (+.f64 12 (*.f64 alpha 16)))
(fma.f64 (*.f64 alpha alpha) 5 (fma.f64 alpha 16 12))
(fma.f64 alpha 16 (fma.f64 alpha (*.f64 alpha 5) 12))
(fma.f64 alpha (fma.f64 alpha 5 16) 12)
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha)))
(fma.f64 5 (*.f64 alpha alpha) (+.f64 12 (*.f64 alpha 16)))
(fma.f64 (*.f64 alpha alpha) 5 (fma.f64 alpha 16 12))
(fma.f64 alpha 16 (fma.f64 alpha (*.f64 alpha 5) 12))
(fma.f64 alpha (fma.f64 alpha 5 16) 12)

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 beta (+.f64 beta 4))
0.1b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
18.9b
(/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4))))
Compiler

Compiled 79 to 54 computations (31.6% saved)

series8.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.0ms
alpha
@inf
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.0ms
alpha
@-inf
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.0ms
beta
@0
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.0ms
beta
@0
(/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4))))

rewrite90.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
972×prod-diff_binary64
328×log1p-udef_binary64
192×add-sqr-sqrt_binary64
188×*-un-lft-identity_binary64
188×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01648
137044
2573944
Stop Event
node limit
Counts
3 → 100
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 beta (+.f64 beta 4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (fma.f64 beta (+.f64 beta 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (fma.f64 beta (+.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) (sqrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 1 (fma.f64 beta (+.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 beta) -1) (/.f64 1 (neg.f64 (fma.f64 beta (+.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (fma.f64 beta (+.f64 beta 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (fma.f64 beta (+.f64 beta 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 beta (+.f64 beta 4) 4)) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (fma.f64 beta (+.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 beta (+.f64 beta 4) 4)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (pow.f64 (cbrt.f64 (fma.f64 beta (+.f64 beta 4) 4)) 2)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (cbrt.f64 (fma.f64 beta (+.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 beta (+.f64 beta 4) 4))) (/.f64 (+.f64 beta 1) (sqrt.f64 (fma.f64 beta (+.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (fma.f64 beta (+.f64 beta 4) 4))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (fma.f64 beta (+.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 64 (pow.f64 (*.f64 beta (+.f64 beta 4)) 3))) (+.f64 16 (*.f64 (*.f64 beta (+.f64 beta 4)) (-.f64 (*.f64 beta (+.f64 beta 4)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (-.f64 16 (pow.f64 (*.f64 beta (+.f64 beta 4)) 2))) (-.f64 4 (*.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 beta (+.f64 beta 4) 4) (+.f64 beta 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 beta 1) (neg.f64 (fma.f64 beta (+.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (fma.f64 beta (+.f64 beta 4) 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (fma.f64 beta (+.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (fma.f64 beta (+.f64 beta 4) 4))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) (*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (neg.f64 beta) -1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 beta (+.f64 alpha 3))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (fma.f64 beta (+.f64 beta 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (fma.f64 beta (+.f64 beta 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 4) 4)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 4) 4)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) -1)) (+.f64 (+.f64 beta alpha) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (fma.f64 beta (+.f64 beta 4) 4) (+.f64 beta 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (neg.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (+.f64 beta (+.f64 alpha 3))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta beta) (*.f64 beta 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta 4) (*.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta beta) 1) (*.f64 (*.f64 beta 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 beta 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 beta 4) 3)) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 beta 4) (*.f64 beta 4)) (*.f64 (*.f64 beta beta) (*.f64 beta 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 beta 4) (*.f64 beta 4))) (-.f64 (*.f64 beta beta) (*.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64 (pow.f64 beta 3)) beta) (fma.f64 beta beta (-.f64 16 (*.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -16) beta) (+.f64 beta -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (+.f64 64 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 16 (*.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (fma.f64 beta beta -16)) (+.f64 beta -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 beta (+.f64 beta 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 beta (+.f64 beta 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 beta 4)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (+.f64 beta 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 beta (+.f64 beta 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta beta (*.f64 beta 4))))))

simplify67.0ms (0.5%)

Algorithm
egg-herbie
Rules
713×associate-*r*_binary64
712×associate-*l*_binary64
500×times-frac_binary64
403×associate-/r*_binary64
371×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01962237
16822046
228911971
Stop Event
node limit
Counts
148 → 156
Calls
Call 1
Inputs
1/4
(+.f64 1/4 (*.f64 -1/16 (pow.f64 beta 2)))
(+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3))))
(+.f64 (*.f64 -3/64 (pow.f64 beta 4)) (+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1/4 (+.f64 3 alpha))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha))))))))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 alpha)) (+.f64 3 alpha))) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha))))))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 4 (*.f64 4 (+.f64 3 alpha))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 5))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha))) (pow.f64 beta 4))))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -4 (/.f64 (+.f64 3 alpha) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 7 alpha) (+.f64 (*.f64 (+.f64 7 alpha) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)))) (pow.f64 beta 5)) (/.f64 (*.f64 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (pow.f64 beta 5))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3)))
(+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) alpha))))
(+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) alpha)) (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (+.f64 beta 3)))))
(+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) alpha)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 4))) (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 4)))))) (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (+.f64 beta 3))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 4)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 4)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha))))))
(*.f64 4 beta)
(+.f64 (pow.f64 beta 2) (*.f64 4 beta))
(+.f64 (pow.f64 beta 2) (*.f64 4 beta))
(+.f64 (pow.f64 beta 2) (*.f64 4 beta))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
Outputs
1/4
(+.f64 1/4 (*.f64 -1/16 (pow.f64 beta 2)))
(+.f64 1/4 (*.f64 -1/16 (*.f64 beta beta)))
(fma.f64 -1/16 (*.f64 beta beta) 1/4)
(+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3))))
(+.f64 1/4 (fma.f64 -1/16 (*.f64 beta beta) (*.f64 1/16 (pow.f64 beta 3))))
(+.f64 1/4 (*.f64 (*.f64 beta beta) (+.f64 -1/16 (*.f64 1/16 beta))))
(+.f64 (*.f64 -3/64 (pow.f64 beta 4)) (+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3)))))
(fma.f64 -3/64 (pow.f64 beta 4) (+.f64 1/4 (fma.f64 -1/16 (*.f64 beta beta) (*.f64 1/16 (pow.f64 beta 3)))))
(+.f64 (fma.f64 -1/16 (*.f64 beta beta) (*.f64 1/16 (pow.f64 beta 3))) (fma.f64 -3/64 (pow.f64 beta 4) 1/4))
(+.f64 (*.f64 (*.f64 beta beta) (+.f64 -1/16 (*.f64 1/16 beta))) (fma.f64 -3/64 (pow.f64 beta 4) 1/4))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 8 (pow.f64 beta 3)) (/.f64 3 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 8 (pow.f64 beta 3)) (/.f64 -3 (*.f64 beta beta))))
(+.f64 (/.f64 8 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 8 (pow.f64 beta 3)) (+.f64 (/.f64 3 (*.f64 beta beta)) (/.f64 20 (pow.f64 beta 4)))))
(+.f64 (+.f64 (/.f64 8 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta)))) (/.f64 -20 (pow.f64 beta 4)))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 8 (pow.f64 beta 3)) (/.f64 3 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 8 (pow.f64 beta 3)) (/.f64 -3 (*.f64 beta beta))))
(+.f64 (/.f64 8 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 8 (pow.f64 beta 3)) (+.f64 (/.f64 3 (*.f64 beta beta)) (/.f64 20 (pow.f64 beta 4)))))
(+.f64 (+.f64 (/.f64 8 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta)))) (/.f64 -20 (pow.f64 beta 4)))
(/.f64 1/4 (+.f64 3 alpha))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta))
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 beta (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2))))))
(fma.f64 beta (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (*.f64 -1/16 (+.f64 16 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1/4 (+.f64 3 alpha)))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha))))))))
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (fma.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta (neg.f64 (*.f64 (*.f64 beta beta) (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (*.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (+.f64 3 alpha) (+.f64 4 (+.f64 12 (*.f64 4 alpha)))))))))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (*.f64 -1/16 (+.f64 16 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1/4 (+.f64 3 alpha))) (*.f64 (*.f64 beta beta) (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (/.f64 (*.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (*.f64 -1/16 (+.f64 16 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2))) 1/4) (/.f64 (+.f64 3 alpha) (+.f64 16 (*.f64 4 alpha)))))))
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 beta (-.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (*.f64 -1/16 (+.f64 16 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 (fma.f64 1/4 (*.f64 (/.f64 (+.f64 16 (*.f64 4 alpha)) (+.f64 3 alpha)) (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (*.f64 -1/16 (+.f64 16 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (+.f64 alpha 7))) beta))))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 alpha)) (+.f64 3 alpha))) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha))))))))))
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (fma.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta (*.f64 -1 (+.f64 (*.f64 (*.f64 beta beta) (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (*.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (+.f64 3 alpha) (+.f64 4 (+.f64 12 (*.f64 4 alpha)))))))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (fma.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (+.f64 3 alpha) (+.f64 alpha 7))) (*.f64 -1/4 (/.f64 (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (*.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (+.f64 3 alpha) (+.f64 4 (+.f64 12 (*.f64 4 alpha))))))) (/.f64 (+.f64 3 alpha) (+.f64 4 (+.f64 12 (*.f64 4 alpha)))))))))))))
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(+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) alpha)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 4))) (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 4)))))) (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (+.f64 beta 3))))))
(+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (/.f64 (/.f64 1 (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 beta 3)) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))))) (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 4))) (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 4))))) (/.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 (/.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta 3)) (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 4))) (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 4)))))) (*.f64 alpha (+.f64 (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2))))))))
(+.f64 (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (+.f64 beta 3))) (+.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 (*.f64 (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2))) alpha) (/.f64 alpha (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2))))) (*.f64 (*.f64 alpha alpha) (-.f64 (/.f64 (+.f64 (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2)))) (+.f64 beta 3)) (*.f64 (+.f64 (/.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 4) 4)) (pow.f64 (+.f64 beta 3) 4)) (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 4)))) alpha)))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4)))))
(/.f64 (+.f64 beta 1) (*.f64 alpha (fma.f64 beta (+.f64 beta 4) 4)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (fma.f64 beta (+.f64 beta 4) 4))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (/.f64 1 (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4)))))))
(-.f64 (+.f64 (/.f64 (/.f64 beta alpha) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 1 (*.f64 alpha (fma.f64 beta (+.f64 beta 4) 4)))) (*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))
(+.f64 (/.f64 (/.f64 beta (fma.f64 beta (+.f64 beta 4) 4)) alpha) (-.f64 (/.f64 (/.f64 1 alpha) (fma.f64 beta (+.f64 beta 4) 4)) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))))))
(-.f64 (+.f64 (/.f64 (/.f64 beta alpha) (fma.f64 beta (+.f64 beta 4) 4)) (fma.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha (fma.f64 beta (+.f64 beta 4) 4))))) (*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))
(+.f64 (/.f64 (/.f64 beta (fma.f64 beta (+.f64 beta 4) 4)) alpha) (-.f64 (fma.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 (/.f64 1 alpha) (fma.f64 beta (+.f64 beta 4) 4))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 4)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha))))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)))))))
(-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha (fma.f64 beta (+.f64 beta 4) 4)))) (-.f64 (/.f64 (/.f64 beta alpha) (fma.f64 beta (+.f64 beta 4) 4)) (*.f64 (/.f64 (pow.f64 (+.f64 beta 3) 3) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (+.f64 beta 1) (pow.f64 alpha 4))))) (*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 (/.f64 1 alpha) (fma.f64 beta (+.f64 beta 4) 4)) (*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 4))))) (-.f64 (/.f64 (/.f64 beta (fma.f64 beta (+.f64 beta 4) 4)) alpha) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta 3))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4)))))
(/.f64 (+.f64 beta 1) (*.f64 alpha (fma.f64 beta (+.f64 beta 4) 4)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (fma.f64 beta (+.f64 beta 4) 4))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (/.f64 1 (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4)))))))
(-.f64 (+.f64 (/.f64 (/.f64 beta alpha) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 1 (*.f64 alpha (fma.f64 beta (+.f64 beta 4) 4)))) (*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))
(+.f64 (/.f64 (/.f64 beta (fma.f64 beta (+.f64 beta 4) 4)) alpha) (-.f64 (/.f64 (/.f64 1 alpha) (fma.f64 beta (+.f64 beta 4) 4)) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))))))
(-.f64 (+.f64 (/.f64 (/.f64 beta alpha) (fma.f64 beta (+.f64 beta 4) 4)) (fma.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha (fma.f64 beta (+.f64 beta 4) 4))))) (*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))
(+.f64 (/.f64 (/.f64 beta (fma.f64 beta (+.f64 beta 4) 4)) alpha) (-.f64 (fma.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 (/.f64 1 alpha) (fma.f64 beta (+.f64 beta 4) 4))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 4)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha))))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)))))))
(-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha (fma.f64 beta (+.f64 beta 4) 4)))) (-.f64 (/.f64 (/.f64 beta alpha) (fma.f64 beta (+.f64 beta 4) 4)) (*.f64 (/.f64 (pow.f64 (+.f64 beta 3) 3) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (+.f64 beta 1) (pow.f64 alpha 4))))) (*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 (/.f64 1 alpha) (fma.f64 beta (+.f64 beta 4) 4)) (*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 4))))) (-.f64 (/.f64 (/.f64 beta (fma.f64 beta (+.f64 beta 4) 4)) alpha) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta 3))))
(*.f64 4 beta)
(*.f64 beta 4)
(+.f64 (pow.f64 beta 2) (*.f64 4 beta))
(*.f64 beta (+.f64 beta 4))
(+.f64 (pow.f64 beta 2) (*.f64 4 beta))
(*.f64 beta (+.f64 beta 4))
(+.f64 (pow.f64 beta 2) (*.f64 4 beta))
(*.f64 beta (+.f64 beta 4))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(*.f64 beta (+.f64 beta 4))
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(*.f64 beta (+.f64 beta 4))
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(*.f64 beta (+.f64 beta 4))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(*.f64 beta (+.f64 beta 4))
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(*.f64 beta (+.f64 beta 4))
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(*.f64 beta (+.f64 beta 4))

eval506.0ms (3.5%)

Compiler

Compiled 17774 to 13747 computations (22.7% saved)

prune123.0ms (0.8%)

Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New68710697
Fresh71118
Picked101
Done448
Total69925724
Error
0b
Counts
724 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
34.4b
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 2 alpha)))
35.8b
1/12
36.3b
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
28.4b
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
2.6b
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
29.1b
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
9.1b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3)))
9.9b
(/.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))))
25.6b
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
25.0b
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1)
35.4b
(/.f64 1/4 (+.f64 3 alpha))
29.0b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
34.1b
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
29.4b
(+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 (/.f64 (cbrt.f64 (*.f64 alpha alpha)) beta) (/.f64 (cbrt.f64 alpha) beta)))
32.8b
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1)
35.5b
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha)))
42.0b
(/.f64 (/.f64 alpha beta) beta)
36.8b
(-.f64 (+.f64 1 1/12) 1)
27.6b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
28.1b
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
35.5b
(+.f64 1/12 (*.f64 -1/36 alpha))
62.4b
(/.f64 1/5 alpha)
30.0b
(/.f64 1 (*.f64 beta beta))
28.1b
(+.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (*.f64 beta (/.f64 beta alpha)) -1))
24.6b
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
Compiler

Compiled 319 to 243 computations (23.8% saved)

regimes307.0ms (2.1%)

Counts
60 → 2
Calls
Call 1
Inputs
1/12
1/12
(/.f64 1/5 alpha)
(/.f64 1/4 alpha)
(-.f64 (+.f64 1 1/12) 1)
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1)
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha)))
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1)
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1)
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.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 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(/.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))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (*.f64 2 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) 3) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))) (-.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3)))))
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
(+.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (*.f64 beta (/.f64 beta alpha)) -1))
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 (/.f64 (cbrt.f64 (*.f64 alpha alpha)) beta) (/.f64 (cbrt.f64 alpha) beta)))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))) 2))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 3)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))
Outputs
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (*.f64 2 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Calls

4 calls:

94.0ms
alpha
93.0ms
(/.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))
66.0ms
beta
27.0ms
(/.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
0.1b2alpha
0.1b2beta
0.1b2(/.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))
0.1b2(/.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 1076 to 739 computations (31.3% saved)

bsearch32.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
31.0ms
1.0725411168713128e+49
1.4656568209839102e+49
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes640.0ms (4.4%)

Counts
48 → 2
Calls
Call 1
Inputs
1/12
1/12
(/.f64 1/5 alpha)
(/.f64 1/4 alpha)
(-.f64 (+.f64 1 1/12) 1)
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1)
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha)))
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1)
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1)
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.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 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(/.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))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.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 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Calls

4 calls:

398.0ms
alpha
97.0ms
beta
66.0ms
(/.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))
44.0ms
(/.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
0.1b2alpha
0.1b2beta
0.1b2(/.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))
0.1b2(/.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 738 to 510 computations (30.9% saved)

bsearch72.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
71.0ms
1.0725411168713128e+49
1.4656568209839102e+49
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes195.0ms (1.3%)

Counts
45 → 2
Calls
Call 1
Inputs
1/12
1/12
(/.f64 1/5 alpha)
(/.f64 1/4 alpha)
(-.f64 (+.f64 1 1/12) 1)
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1)
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha)))
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1)
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1)
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.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 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
Outputs
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Calls

2 calls:

97.0ms
beta
61.0ms
alpha
Results
ErrorSegmentsBranch
1.6b1alpha
0.1b2beta
Compiler

Compiled 575 to 404 computations (29.7% saved)

bsearch101.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
100.0ms
1.4725359173985118e+146
4.70479597452253e+147
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes206.0ms (1.4%)

Counts
43 → 2
Calls
Call 1
Inputs
1/12
1/12
(/.f64 1/5 alpha)
(/.f64 1/4 alpha)
(-.f64 (+.f64 1 1/12) 1)
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1)
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha)))
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1)
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1)
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.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 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
Outputs
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Calls

2 calls:

97.0ms
beta
81.0ms
alpha
Results
ErrorSegmentsBranch
0.9b2alpha
0.4b2beta
Compiler

Compiled 525 to 370 computations (29.5% saved)

bsearch47.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
46.0ms
4441594.753858191
57677257694792.734
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes164.0ms (1.1%)

Counts
37 → 2
Calls
Call 1
Inputs
1/12
1/12
(/.f64 1/5 alpha)
(/.f64 1/4 alpha)
(-.f64 (+.f64 1 1/12) 1)
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1)
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha)))
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1)
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1)
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
Outputs
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Calls

2 calls:

75.0ms
beta
67.0ms
alpha
Results
ErrorSegmentsBranch
0.9b2alpha
0.7b2beta
Compiler

Compiled 397 to 281 computations (29.2% saved)

bsearch37.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
37.0ms
4441594.753858191
57677257694792.734
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes139.0ms (1%)

Counts
35 → 2
Calls
Call 1
Inputs
1/12
1/12
(/.f64 1/5 alpha)
(/.f64 1/4 alpha)
(-.f64 (+.f64 1 1/12) 1)
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1)
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha)))
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1)
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1)
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Calls

2 calls:

83.0ms
alpha
40.0ms
beta
Results
ErrorSegmentsBranch
1.0b2alpha
0.7b2beta
Compiler

Compiled 359 to 253 computations (29.5% saved)

bsearch49.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
48.0ms
4441594.753858191
57677257694792.734
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes154.0ms (1.1%)

Counts
28 → 2
Calls
Call 1
Inputs
1/12
1/12
(/.f64 1/5 alpha)
(/.f64 1/4 alpha)
(-.f64 (+.f64 1 1/12) 1)
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1)
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha)))
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1)
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
Calls

2 calls:

106.0ms
alpha
39.0ms
beta
Results
ErrorSegmentsBranch
6.3b4alpha
0.8b2beta
Compiler

Compiled 240 to 171 computations (28.8% saved)

bsearch54.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
54.0ms
4441594.753858191
57677257694792.734
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes172.0ms (1.2%)

Counts
26 → 2
Calls
Call 1
Inputs
1/12
1/12
(/.f64 1/5 alpha)
(/.f64 1/4 alpha)
(-.f64 (+.f64 1 1/12) 1)
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1)
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha)))
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1)
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
Outputs
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
Calls

2 calls:

114.0ms
alpha
47.0ms
beta
Results
ErrorSegmentsBranch
16.7b6alpha
1.1b2beta
Compiler

Compiled 210 to 150 computations (28.6% saved)

bsearch49.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
48.0ms
0.7314148262823104
1650272.7288955017
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes90.0ms (0.6%)

Counts
17 → 2
Calls
Call 1
Inputs
1/12
1/12
(/.f64 1/5 alpha)
(/.f64 1/4 alpha)
(-.f64 (+.f64 1 1/12) 1)
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1)
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha)))
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
Outputs
(+.f64 1/12 (*.f64 -1/36 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
Calls

2 calls:

53.0ms
alpha
30.0ms
beta
Results
ErrorSegmentsBranch
18.0b6alpha
1.4b2beta
Compiler

Compiled 101 to 72 computations (28.7% saved)

bsearch36.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
36.0ms
0.7314148262823104
1650272.7288955017
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes115.0ms (0.8%)

Counts
16 → 2
Calls
Call 1
Inputs
1/12
1/12
(/.f64 1/5 alpha)
(/.f64 1/4 alpha)
(-.f64 (+.f64 1 1/12) 1)
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1)
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha)))
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)
Outputs
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
Calls

2 calls:

94.0ms
alpha
17.0ms
beta
Results
ErrorSegmentsBranch
19.3b6alpha
2.8b2beta
Compiler

Compiled 92 to 66 computations (28.3% saved)

bsearch30.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
29.0ms
0.7314148262823104
1650272.7288955017
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes112.0ms (0.8%)

Counts
11 → 3
Calls
Call 1
Inputs
1/12
1/12
(/.f64 1/5 alpha)
(/.f64 1/4 alpha)
(-.f64 (+.f64 1 1/12) 1)
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
Outputs
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
Calls

2 calls:

88.0ms
alpha
20.0ms
beta
Results
ErrorSegmentsBranch
18.4b7alpha
2.6b3beta
Compiler

Compiled 51 to 36 computations (29.4% saved)

bsearch114.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
57.0ms
6.096931076142862e+149
3.580309712052024e+150
57.0ms
0.7314148262823104
1650272.7288955017
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes125.0ms (0.9%)

Counts
10 → 2
Calls
Call 1
Inputs
1/12
1/12
(/.f64 1/5 alpha)
(/.f64 1/4 alpha)
(-.f64 (+.f64 1 1/12) 1)
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 beta beta))
Outputs
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 (*.f64 beta beta))
Calls

2 calls:

70.0ms
alpha
50.0ms
beta
Results
ErrorSegmentsBranch
20.0b6alpha
3.7b2beta
Compiler

Compiled 46 to 34 computations (26.1% saved)

bsearch32.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
32.0ms
0.7314148262823104
1650272.7288955017
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
1/12
1/12
(/.f64 1/5 alpha)
(/.f64 1/4 alpha)
(-.f64 (+.f64 1 1/12) 1)
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (*.f64 -1/36 alpha))
Outputs
(+.f64 1/12 (*.f64 -1/36 alpha))
Calls

2 calls:

6.0ms
beta
5.0ms
alpha
Results
ErrorSegmentsBranch
35.5b1alpha
35.5b1beta
Compiler

Compiled 31 to 25 computations (19.4% saved)

regimes11.0ms (0.1%)

Accuracy

Total -26.7b remaining (-74.6%)

Threshold costs -26.7b (-74.6%)

Counts
5 → 1
Calls
Call 1
Inputs
1/12
1/12
(/.f64 1/5 alpha)
(/.f64 1/4 alpha)
(-.f64 (+.f64 1 1/12) 1)
Outputs
1/12
Calls

2 calls:

4.0ms
alpha
4.0ms
beta
Results
ErrorSegmentsBranch
35.8b1alpha
35.8b1beta
Compiler

Compiled 21 to 17 computations (19% saved)

simplify17.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
085540
1119540
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 beta 10725411168713127790024774960002278099492441948160) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (*.f64 2 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 10725411168713127790024774960002278099492441948160) (/.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)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 147253591739851183944828060705955426100149252050579912058043012703277047450699708693841671888721153368158581513142540918428200595706503221959720960) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 4769126052476525/1073741824) (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 3293999539098269/4503599627370496) (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 -1/36 alpha)) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 -1/36 alpha)) (if (<=.f64 beta 609693107614286182042800896108541665389955905159774557849297027751423571441926346749853161484541502827223429552554250380764396273666011939767242981376) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 1 (*.f64 beta beta)))
(+.f64 1/12 (*.f64 -1/36 alpha))
1/12
Outputs
(if (<=.f64 beta 10725411168713127790024774960002278099492441948160) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (*.f64 2 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 10725411168713127790024774960002278099492441948160) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (*.f64 2 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(if (<=.f64 beta 10725411168713127790024774960002278099492441948160) (/.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)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 10725411168713127790024774960002278099492441948160) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 beta alpha) 3)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(if (<=.f64 beta 147253591739851183944828060705955426100149252050579912058043012703277047450699708693841671888721153368158581513142540918428200595706503221959720960) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 147253591739851183944828060705955426100149252050579912058043012703277047450699708693841671888721153368158581513142540918428200595706503221959720960) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 1 (+.f64 (+.f64 beta alpha) 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(if (<=.f64 beta 4769126052476525/1073741824) (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 4769126052476525/1073741824) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)))
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 beta)))
(if (<=.f64 beta 3293999539098269/4503599627370496) (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 3293999539098269/4503599627370496) (/.f64 1/4 (+.f64 1 (+.f64 (+.f64 beta alpha) 2))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 beta)))
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 -1/36 alpha)) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 alpha -1/36)) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 beta)))
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 alpha -1/36)) (/.f64 (+.f64 alpha 1) (*.f64 beta beta)))
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 -1/36 alpha)) (if (<=.f64 beta 609693107614286182042800896108541665389955905159774557849297027751423571441926346749853161484541502827223429552554250380764396273666011939767242981376) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 alpha -1/36)) (if (<=.f64 beta 609693107614286182042800896108541665389955905159774557849297027751423571441926346749853161484541502827223429552554250380764396273666011939767242981376) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 alpha -1/36)) (/.f64 1 (*.f64 beta beta)))
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (*.f64 alpha -1/36))
1/12
Compiler

Compiled 397 to 285 computations (28.2% saved)

soundness233.0ms (1.6%)

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 798 to 552 computations (30.8% saved)

end174.0ms (1.2%)

Compiler

Compiled 483 to 327 computations (32.3% saved)

Profiling

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