Details

Time bar (total: 15.9s)

analyze56.0ms (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)

sample1.6s (10.3%)

Results
1.6s8256×body256valid

preprocess90.0ms (0.6%)

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)

simplify136.0ms (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
2.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
7.3b
(/.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))))
2.4b
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Compiler

Compiled 64 to 43 computations (32.8% saved)

localize34.0ms (0.2%)

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)))
7.3b
(/.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))))

rewrite123.0ms (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))))))

simplify146.0ms (0.9%)

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))

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)
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))
2.2b
(/.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)

series25.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

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

rewrite106.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

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

simplify173.0ms (1.1%)

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
05678184
122087723
Stop Event
node limit
Counts
256 → 300
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)))))
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(-.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 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))
(+.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))))
(+.f64 beta 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 3 alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
Outputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
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(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(+.f64 beta (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(+.f64 beta (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (/.f64 (+.f64 beta 2) (/.f64 alpha (+.f64 beta 1)))))
(-.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))
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(-.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))
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(-.f64 (+.f64 (+.f64 beta 1) (+.f64 (+.f64 (/.f64 beta alpha) (*.f64 (/.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 1 alpha) (*.f64 (/.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) alpha) (/.f64 (+.f64 beta 2) alpha))))) (/.f64 (+.f64 beta 2) (/.f64 alpha (+.f64 beta 1))))
(*.f64 -1 (-.f64 (*.f64 -1 beta) 1))
(+.f64 beta 1)
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(*.f64 -1 (+.f64 (fma.f64 -1 beta -1) (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) alpha)))
(+.f64 (+.f64 beta 1) (/.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) alpha))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(fma.f64 -1 (fma.f64 -1 beta -1) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) alpha) (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)))))
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(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 -1 (fma.f64 -1 beta -1) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) alpha) (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))))))
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(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
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(+.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))))))
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(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (+.f64 1 alpha) (/.f64 alpha beta))) (/.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (/.f64 (-.f64 -1 alpha) (/.f64 beta (+.f64 2 alpha)))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
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(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (+.f64 alpha (neg.f64 (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))))))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))))))))) (/.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 2 alpha))))
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(*.f64 -1 (-.f64 (*.f64 -1 alpha) 1))
(neg.f64 (fma.f64 -1 alpha -1))
(neg.f64 (-.f64 -1 alpha))
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(*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (fma.f64 -1 alpha -1))) beta) (fma.f64 -1 alpha -1)))
(-.f64 (neg.f64 (-.f64 -1 alpha)) (/.f64 (-.f64 (-.f64 -1 alpha) (*.f64 (+.f64 2 alpha) (-.f64 -1 alpha))) beta))
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(-.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (-.f64 (-.f64 -1 alpha) (*.f64 (+.f64 2 alpha) (-.f64 -1 alpha)))) (-.f64 -1 alpha)) (/.f64 (-.f64 (-.f64 -1 alpha) (*.f64 (+.f64 2 alpha) (-.f64 -1 alpha))) beta))
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(fma.f64 -1 (/.f64 (-.f64 (neg.f64 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (fma.f64 -1 alpha -1))) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (fma.f64 -1 alpha -1))))) (+.f64 (neg.f64 (fma.f64 -1 alpha -1)) (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (fma.f64 -1 alpha -1))))))))
(-.f64 (-.f64 (-.f64 (*.f64 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (-.f64 (-.f64 -1 alpha) (*.f64 (+.f64 2 alpha) (-.f64 -1 alpha)))) (-.f64 -1 alpha)) (*.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (-.f64 (-.f64 -1 alpha) (*.f64 (+.f64 2 alpha) (-.f64 -1 alpha))))) (/.f64 (-.f64 (-.f64 -1 alpha) (*.f64 (+.f64 2 alpha) (-.f64 -1 alpha))) beta))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
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(+.f64 (/.f64 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 (+.f64 1 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)))))
(+.f64 (+.f64 (fma.f64 -2 (/.f64 (+.f64 2 alpha) (/.f64 (pow.f64 beta 3) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (*.f64 (-.f64 -1 alpha) -2))))) (/.f64 1 (*.f64 beta beta))) (+.f64 (/.f64 alpha (*.f64 beta beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (-.f64 -1 alpha))) (/.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 (*.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 (+.f64 1 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 (+.f64 1 alpha) (*.f64 (*.f64 (+.f64 2 alpha) (fma.f64 -1 alpha -1)) -2)))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 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 2 alpha) (/.f64 (pow.f64 beta 3) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (*.f64 (-.f64 -1 alpha) -2))))) (/.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) (/.f64 (pow.f64 beta 3) (-.f64 -1 alpha))) (/.f64 (fma.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (*.f64 (-.f64 -1 alpha) -2))) (*.f64 (fma.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 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))))
(+.f64 beta 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 3 alpha)
(+.f64 alpha 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 beta 3) alpha)

eval861.0ms (5.4%)

Compiler

Compiled 31662 to 22709 computations (28.3% saved)

prune210.0ms (1.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New58019599
Fresh000
Picked101
Done101
Total58219601
Error
0.0b
Counts
601 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
7.3b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 3 alpha) beta) 2))))
30.0b
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
8.1b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
3.1b
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
25.4b
(/.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)))))
23.5b
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -1) (+.f64 alpha 1)) (+.f64 beta -1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
37.1b
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.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)))
32.2b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
15.0b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
62.3b
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
1.4b
(*.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)))))
1.7b
(*.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))))
25.6b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
10.2b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta))) 3))
62.7b
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.7b
(*.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))))
38.2b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (pow.f64 beta 3))
1.7b
(*.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))))
Compiler

Compiled 966 to 682 computations (29.4% saved)

localize117.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))
0.1b
(*.f64 (/.f64 (+.f64 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)))))
2.7b
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
12.5b
(/.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)

series80.0ms (0.5%)

Counts
4 → 48
Calls

24 calls:

TimeVariablePointExpression
8.0ms
beta
@-inf
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
8.0ms
alpha
@0
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))
5.0ms
alpha
@inf
(/.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))))
5.0ms
alpha
@-inf
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))

rewrite136.0ms (0.9%)

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 (+.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)))))
(*.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 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 2)) (cbrt.f64 (/.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 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (cbrt.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 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (sqrt.f64 (/.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 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.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 (neg.f64 beta) -1) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 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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simplify168.0ms (1.1%)

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)))))
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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)))))))))
(*.f64 (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 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))
(+.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)))
(+.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))))
(*.f64 (+.f64 2 alpha) (sqrt.f64 (+.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))))
(+.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)))))
(+.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)))))))))
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 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (sqrt.f64 (+.f64 alpha 3)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 alpha 3)))) (+.f64 2 alpha))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))) (*.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 alpha 3)))))) (*.f64 beta beta)))))
(+.f64 (fma.f64 beta (fma.f64 (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 1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)))) (*.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 alpha 3)) (/.f64 1 (pow.f64 (+.f64 alpha 3) 4))) (+.f64 2 alpha))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 4)))))) (*.f64 beta (*.f64 beta (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 (/.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 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 (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 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 (+.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)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 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)))
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(+.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 (*.f64 -1 (+.f64 (*.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 (+.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 (+.f64 2 alpha) (*.f64 (+.f64 alpha 3) -2)) (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) (*.f64 -1 (+.f64 (*.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 (+.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 (*.f64 -1 (+.f64 (*.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 (+.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 (+.f64 2 alpha) (*.f64 (+.f64 alpha 3) -2)) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) (*.f64 (+.f64 alpha 3) -2)) (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 (+.f64 2 alpha) (*.f64 (+.f64 alpha 3) -2)) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 5)) (*.f64 (+.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 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 (+.f64 2 beta) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 5))) 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 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 alpha 3)))) (sqrt.f64 (+.f64 alpha 3))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3))))
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))) (+.f64 (*.f64 beta (+.f64 (sqrt.f64 (+.f64 3 alpha)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 3 alpha)))))
(fma.f64 (*.f64 beta beta) (fma.f64 -1/8 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) 1/2)) (fma.f64 beta (+.f64 (sqrt.f64 (+.f64 alpha 3)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 alpha 3)))))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3)))))
(fma.f64 (*.f64 beta beta) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) 1/2 (*.f64 (+.f64 2 alpha) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) -1/8))) (fma.f64 beta (fma.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 alpha 3)))) (sqrt.f64 (+.f64 alpha 3))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3)))))
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))) (+.f64 (*.f64 beta (+.f64 (sqrt.f64 (+.f64 3 alpha)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (+.f64 (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 3 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/16 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 5))))) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))))))))
(fma.f64 (*.f64 beta beta) (fma.f64 -1/8 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) 1/2)) (fma.f64 beta (+.f64 (sqrt.f64 (+.f64 alpha 3)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 alpha 3)))))) (fma.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3)) (*.f64 (pow.f64 beta 3) (fma.f64 1/16 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 5)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) -1/8))))))
(fma.f64 (*.f64 beta beta) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) 1/2 (*.f64 (+.f64 2 alpha) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) -1/8))) (fma.f64 beta (fma.f64 1/2 (*.f64 (+.f64 2 alpha) (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 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 5))) (*.f64 (+.f64 2 alpha) 1/16))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3))))))

localize9.0ms (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)

series4.0ms (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))

rewrite57.0ms (0.4%)

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))))))))

simplify176.0ms (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))

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 alpha 1) (+.f64 beta 1))
3.3b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
6.4b
(*.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
alpha
@0
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.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
@-inf
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))

rewrite99.0ms (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 *.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 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) 2) (*.f64 (cbrt.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 *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))) 2) (cbrt.f64 (*.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 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (*.f64 (sqrt.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 *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1)))) alpha) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1)))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (neg.f64 (+.f64 alpha 1))) (/.f64 1 (*.f64 (+.f64 2 (+.f64 beta alpha)) (neg.f64 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (+.f64 beta 1) (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha)) (*.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) (/.f64 (sqrt.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))) (+.f64 2 (+.f64 beta alpha))) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 1) (+.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 2 (+.f64 beta alpha))) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (*.f64 alpha alpha)) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) 2) (*.f64 alpha alpha)) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) (+.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 2)) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))))))) (#(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 alpha)))) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 alpha 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) 2) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1)))) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1)) (/.f64 (*.f64 alpha alpha) (+.f64 alpha 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 2 (+.f64 beta alpha)) (neg.f64 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) 3) (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))))) (#(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))))))

simplify93.0ms (0.6%)

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

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 beta (*.f64 beta alpha))
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)))
7.3b
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
Compiler

Compiled 81 to 41 computations (49.4% saved)

series37.0ms (0.2%)

Counts
2 → 39
Calls

12 calls:

TimeVariablePointExpression
15.0ms
alpha
@-inf
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
4.0ms
alpha
@0
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
4.0ms
beta
@0
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
3.0ms
beta
@-inf
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
2.0ms
beta
@inf
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

rewrite130.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
441×fma-neg_binary64
319×expm1-udef_binary64
319×log1p-udef_binary64
309×log-div_binary64
248×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01441
134631
2566431
Stop Event
node limit
Counts
2 → 89
Calls
Call 1
Inputs
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(+.f64 beta (*.f64 beta alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 beta alpha beta) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 2) (cbrt.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 2) (*.f64 (cbrt.f64 (fma.f64 beta alpha beta)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (*.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 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(+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (fma.f64 beta alpha beta) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 2) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (fma.f64 beta alpha beta)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 beta alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) 1) (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (fma.f64 beta alpha beta) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (cbrt.f64 (fma.f64 beta alpha beta)) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 2))) (/.f64 (fma.f64 beta alpha beta) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 2) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 2))) (cbrt.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 2))) (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 2) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (/.f64 (cbrt.f64 (fma.f64 beta alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (/.f64 (fma.f64 beta alpha beta) (+.f64 beta (+.f64 alpha 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (neg.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 beta alpha beta) 3) (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 beta alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (*.f64 beta alpha))) (/.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 beta (*.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 beta alpha beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 beta alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 beta alpha beta)) (pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 2) (cbrt.f64 (fma.f64 beta alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (sqrt.f64 (fma.f64 beta alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 beta alpha) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (*.f64 beta alpha) (-.f64 (*.f64 beta alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 beta beta) (pow.f64 (*.f64 beta alpha) 2)) (/.f64 1 (-.f64 beta (*.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) beta)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (*.f64 beta alpha) (-.f64 (*.f64 beta alpha) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 beta alpha) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 beta (*.f64 beta alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (*.f64 beta alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 beta alpha) 3)) (fma.f64 beta beta (*.f64 (*.f64 beta alpha) (-.f64 (*.f64 beta alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 beta alpha) 3)) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 (*.f64 beta beta) (*.f64 beta (*.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 beta beta) (pow.f64 (*.f64 beta alpha) 2)) (-.f64 beta (*.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 beta alpha) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (*.f64 beta alpha) (-.f64 (*.f64 beta alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (*.f64 beta alpha) 2))) (neg.f64 (-.f64 beta (*.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 beta alpha) 2) (*.f64 beta beta)) (-.f64 (*.f64 beta alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 beta alpha beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 beta alpha beta) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 beta alpha beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 beta alpha beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 beta alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 beta alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (pow.f64 (exp.f64 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 beta) (+.f64 1 (expm1.f64 (*.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (+.f64 1 (expm1.f64 (*.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 beta alpha))) (exp.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 beta) alpha) (+.f64 1 (expm1.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 beta alpha))) (+.f64 1 (expm1.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 beta alpha beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 beta alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 beta alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 beta alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 beta alpha beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta alpha beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha beta beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 beta (*.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 beta alpha) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (*.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 beta alpha) 2)) (cbrt.f64 (*.f64 beta alpha)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (*.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 beta alpha)) (sqrt.f64 (*.f64 beta alpha)) beta)))))

simplify148.0ms (0.9%)

Algorithm
egg-herbie
Rules
359×distribute-rgt-in_binary64
352×distribute-lft-in_binary64
307×cancel-sign-sub-inv_binary64
246×distribute-neg-in_binary64
243×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02483111
110032803
251442698
Stop Event
node limit
Counts
128 → 139
Calls
Call 1
Inputs
(/.f64 (*.f64 beta (+.f64 1 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.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 (*.f64 (+.f64 1 alpha) beta) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.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 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (*.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.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 alpha) (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) 2))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) 2))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) 2))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))
(+.f64 (/.f64 (*.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 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) 2) (-.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 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (*.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 5)) (+.f64 (/.f64 (*.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 (pow.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) 2) (-.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 (*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) 2) (-.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 (*.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 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) 2))) (/.f64 (*.f64 beta (+.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 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 beta (+.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 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 beta (+.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 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 beta (+.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 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 beta (+.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 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (*.f64 (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 beta (+.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 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 beta (+.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 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3))))))
(/.f64 beta (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.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 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (-.f64 beta (*.f64 beta (+.f64 beta (+.f64 7 (*.f64 2 beta))))))) (pow.f64 alpha 4))))) (/.f64 (*.f64 beta (+.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 beta (+.f64 7 (*.f64 2 beta))) (-.f64 beta (*.f64 beta (+.f64 beta (+.f64 7 (*.f64 2 beta)))))) (*.f64 beta (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (*.f64 beta (+.f64 beta (+.f64 7 (*.f64 2 beta)))))) (*.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (-.f64 beta (*.f64 beta (+.f64 beta (+.f64 7 (*.f64 2 beta))))))) (pow.f64 alpha 4)))))) (/.f64 (*.f64 beta (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(/.f64 beta (pow.f64 alpha 2))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (*.f64 -1 (*.f64 beta (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (*.f64 -1 (*.f64 beta (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (-.f64 (*.f64 -1 beta) (*.f64 -1 (*.f64 beta (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)))))
(+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (-.f64 (*.f64 -1 beta) (*.f64 -1 (*.f64 beta (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (pow.f64 alpha 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (*.f64 -1 (*.f64 beta (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (*.f64 -1 (*.f64 beta (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (-.f64 (*.f64 -1 beta) (*.f64 -1 (*.f64 beta (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))))
(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
(*.f64 -1 (*.f64 beta (-.f64 (*.f64 -1 alpha) 1)))
(*.f64 -1 (*.f64 beta (-.f64 (*.f64 -1 alpha) 1)))
(*.f64 -1 (*.f64 beta (-.f64 (*.f64 -1 alpha) 1)))
(*.f64 -1 (*.f64 beta (-.f64 (*.f64 -1 alpha) 1)))
beta
(*.f64 beta alpha)
(*.f64 beta alpha)
Outputs
(/.f64 (*.f64 beta (+.f64 1 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 3)))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.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 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 3))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2))))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)))))
(fma.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 3)) (/.f64 (fma.f64 alpha -1 -1) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2))))))
(fma.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 3)) (*.f64 (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 (+.f64 alpha 3) 2) (*.f64 beta beta))) (/.f64 (-.f64 -1 alpha) (pow.f64 (+.f64 alpha 2) 4))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.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 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 3))) (fma.f64 -1 (*.f64 (pow.f64 beta 3) (fma.f64 -1 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 6)) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) 2) (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 7 (*.f64 3 alpha)) (pow.f64 (+.f64 alpha 3) 2))))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2))))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))))))
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(/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
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(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
(*.f64 -1 (*.f64 beta (-.f64 (*.f64 -1 alpha) 1)))
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
beta
(*.f64 beta alpha)
(*.f64 beta alpha)

localize89.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
0.0b
(/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1)))
0.7b
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
1.0b
(*.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))))
Compiler

Compiled 102 to 69 computations (32.4% saved)

series40.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

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

rewrite159.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01791
142791
2717291
Stop Event
node limit
Counts
4 → 193
Calls
Call 1
Inputs
(*.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))))
(/.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)))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
Outputs
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(expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3) (*.f64 beta (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 3) (+.f64 beta (+.f64 alpha 2)) (*.f64 beta (+.f64 beta (+.f64 alpha 2))))))))

simplify134.0ms (0.8%)

Algorithm
egg-herbie
Rules
742×distribute-rgt-in_binary64
728×distribute-lft-in_binary64
585×fma-def_binary64
316×associate-/r*_binary64
293×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05718040
122857544
Stop Event
node limit
Counts
289 → 352
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))
(+.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 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
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(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 5 (*.f64 2 alpha)) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 5 (*.f64 2 alpha)) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 5 (*.f64 2 alpha)))) (*.f64 -1 (*.f64 (+.f64 2 alpha) (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 3 alpha))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 5 (*.f64 2 alpha)) (pow.f64 beta 3))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 -1 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 -1 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2))) (pow.f64 beta 4))) (+.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 2 alpha) (+.f64 3 alpha)) (*.f64 -1 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2)))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (*.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 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 alpha)
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) beta)) alpha))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) beta)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 2)) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) beta)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) alpha))))
(/.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 beta 1)
(+.f64 beta (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) alpha))))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 2)) (+.f64 beta (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) alpha)))))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 2)) (+.f64 beta (+.f64 1 (+.f64 (*.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 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) alpha))))))
(*.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)))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(fma.f64 beta (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2))))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))
(+.f64 (fma.f64 beta (-.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 1 alpha)))) (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(fma.f64 beta (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2))))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2))))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 7 (*.f64 3 alpha)) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))))))
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(fma.f64 (+.f64 3 beta) (+.f64 2 beta) (*.f64 alpha (+.f64 alpha (fma.f64 2 beta 5))))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(fma.f64 (+.f64 3 beta) (+.f64 2 beta) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 5 (*.f64 2 beta)))))
(fma.f64 (+.f64 3 beta) (+.f64 2 beta) (*.f64 alpha (+.f64 alpha (fma.f64 2 beta 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 5 (*.f64 2 beta))))
(*.f64 alpha (+.f64 alpha (fma.f64 2 beta 5)))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(fma.f64 (+.f64 3 beta) (+.f64 2 beta) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 5 (*.f64 2 beta)))))
(fma.f64 (+.f64 3 beta) (+.f64 2 beta) (*.f64 alpha (+.f64 alpha (fma.f64 2 beta 5))))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(fma.f64 (+.f64 3 beta) (+.f64 2 beta) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 5 (*.f64 2 beta)))))
(fma.f64 (+.f64 3 beta) (+.f64 2 beta) (*.f64 alpha (+.f64 alpha (fma.f64 2 beta 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 (fma.f64 -1 (+.f64 2 beta) (neg.f64 (+.f64 3 beta))))))
(*.f64 alpha (+.f64 alpha (neg.f64 (-.f64 (fma.f64 beta -1 -2) (+.f64 3 beta)))))
(+.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 3 beta) (+.f64 2 beta) (+.f64 (*.f64 alpha alpha) (neg.f64 (*.f64 alpha (fma.f64 -1 (+.f64 2 beta) (neg.f64 (+.f64 3 beta)))))))
(fma.f64 (+.f64 3 beta) (+.f64 2 beta) (*.f64 alpha (+.f64 alpha (neg.f64 (-.f64 (fma.f64 beta -1 -2) (+.f64 3 beta))))))
(+.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 3 beta) (+.f64 2 beta) (+.f64 (*.f64 alpha alpha) (neg.f64 (*.f64 alpha (fma.f64 -1 (+.f64 2 beta) (neg.f64 (+.f64 3 beta)))))))
(fma.f64 (+.f64 3 beta) (+.f64 2 beta) (*.f64 alpha (+.f64 alpha (neg.f64 (-.f64 (fma.f64 beta -1 -2) (+.f64 3 beta))))))
(*.f64 (+.f64 2 alpha) (+.f64 3 alpha))
(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha))))
(fma.f64 (+.f64 alpha 2) (+.f64 alpha 3) (*.f64 beta (+.f64 (*.f64 alpha 2) 5)))
(fma.f64 (+.f64 alpha 2) (+.f64 alpha 3) (*.f64 beta (fma.f64 alpha 2 5)))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(fma.f64 (+.f64 alpha 2) (+.f64 alpha 3) (fma.f64 beta (+.f64 (*.f64 alpha 2) 5) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (+.f64 alpha 3) (*.f64 beta (+.f64 beta (fma.f64 alpha 2 5))))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(fma.f64 (+.f64 alpha 2) (+.f64 alpha 3) (fma.f64 beta (+.f64 (*.f64 alpha 2) 5) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (+.f64 alpha 3) (*.f64 beta (+.f64 beta (fma.f64 alpha 2 5))))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2))
(fma.f64 beta (+.f64 (*.f64 alpha 2) 5) (*.f64 beta beta))
(*.f64 beta (+.f64 beta (fma.f64 alpha 2 5)))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(fma.f64 (+.f64 alpha 2) (+.f64 alpha 3) (fma.f64 beta (+.f64 (*.f64 alpha 2) 5) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (+.f64 alpha 3) (*.f64 beta (+.f64 beta (fma.f64 alpha 2 5))))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(fma.f64 (+.f64 alpha 2) (+.f64 alpha 3) (fma.f64 beta (+.f64 (*.f64 alpha 2) 5) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (+.f64 alpha 3) (*.f64 beta (+.f64 beta (fma.f64 alpha 2 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 alpha 3) (+.f64 alpha 2)))) (*.f64 beta beta))
(fma.f64 (neg.f64 beta) (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 alpha 2)) (*.f64 beta beta))
(+.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 alpha 2) (+.f64 alpha 3) (fma.f64 -1 (*.f64 beta (*.f64 -1 (+.f64 (+.f64 alpha 3) (+.f64 alpha 2)))) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (+.f64 alpha 3) (fma.f64 (neg.f64 beta) (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 alpha 2)) (*.f64 beta beta)))
(+.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 alpha 2) (+.f64 alpha 3) (fma.f64 -1 (*.f64 beta (*.f64 -1 (+.f64 (+.f64 alpha 3) (+.f64 alpha 2)))) (*.f64 beta beta)))
(fma.f64 (+.f64 alpha 2) (+.f64 alpha 3) (fma.f64 (neg.f64 beta) (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 alpha 2)) (*.f64 beta beta)))

eval2.0s (12.8%)

Compiler

Compiled 55382 to 39879 computations (28% saved)

prune379.0ms (2.4%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New1156221178
Fresh11314
Picked101
Done314
Total1171261197
Error
0b
Counts
1197 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
30.0b
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
62.1b
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
8.1b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
32.2b
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 beta (neg.f64 beta))))
33.4b
(/.f64 1 (*.f64 beta beta))
62.7b
(/.f64 (/.f64 beta alpha) alpha)
61.9b
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 alpha (*.f64 alpha (+.f64 2 beta))))
62.1b
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
55.1b
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.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)))))
31.7b
(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
27.1b
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
61.5b
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))
2.4b
(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
0.1b
(/.f64 (/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
3.7b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
1.0b
(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (+.f64 -1 (neg.f64 beta))) (neg.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
37.1b
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
43.1b
(/.f64 (/.f64 alpha beta) beta)
62.8b
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
32.2b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
15.0b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
0.1b
(/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 beta (+.f64 alpha 3)))
30.7b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
13.6b
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
31.5b
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
2.3b
(/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 1 beta) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3))))
Compiler

Compiled 1011 to 712 computations (29.6% saved)

localize63.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 95 to 64 computations (32.6% saved)

series23.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite120.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
412×fma-neg_binary64
358×expm1-udef_binary64
358×log1p-udef_binary64
204×add-sqr-sqrt_binary64
199×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01697
139197
2640197
Stop Event
node limit
Counts
4 → 168
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))) 2)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))))) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 3))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 3))))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))))) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 3))))) (sqrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (+.f64 1 beta)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 alpha)))) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 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simplify178.0ms (1.1%)

Algorithm
egg-herbie
Rules
836×distribute-rgt-in_binary64
821×distribute-lft-in_binary64
563×fma-def_binary64
377×times-frac_binary64
301×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06579656
125919143
Stop Event
node limit
Counts
264 → 331
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
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(/.f64 (+.f64 1 alpha) beta)
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(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 3))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 5 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))))))) (pow.f64 alpha 4))) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (pow.f64 alpha 2)))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))) (pow.f64 alpha 3)) (/.f64 1 alpha)))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 (-.f64 (+.f64 beta 1) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))))) (*.f64 (-.f64 (+.f64 beta 1) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (pow.f64 alpha 4))) (/.f64 1 alpha))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(/.f64 1 (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) alpha)) 1)
(+.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) alpha)) 1))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) alpha)) 1)))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 -1 (+.f64 beta 2)) 1)) (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))) (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))))))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 7 (*.f64 3 alpha)) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))) (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 (fma.f64 (neg.f64 (*.f64 beta beta)) (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))) (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 3 alpha 7) (pow.f64 (+.f64 alpha 3) 2)))) (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))
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(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha))))
(fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha alpha) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))))))
(+.f64 (fma.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 4))) (/.f64 1 (+.f64 2 beta))) (fma.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2))))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) alpha)) 1)
(fma.f64 -1 (/.f64 (+.f64 1 beta) alpha) 1)
(-.f64 1 (/.f64 (+.f64 1 beta) alpha))
(+.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) alpha)) 1))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 1 beta) alpha) 1) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
(+.f64 (-.f64 1 (/.f64 (+.f64 1 beta) alpha)) (*.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) (+.f64 2 beta)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) alpha)) 1)))
(fma.f64 -1 (/.f64 (+.f64 1 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 1 beta) alpha) 1) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))))
(-.f64 (+.f64 (-.f64 1 (/.f64 (+.f64 1 beta) alpha)) (*.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (+.f64 1 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (/.f64 1 alpha)) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 -1 (+.f64 2 beta) 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 1 alpha))))
(-.f64 (+.f64 1 (-.f64 (/.f64 1 alpha) (/.f64 (-.f64 1 (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))) (/.f64 (+.f64 2 beta) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 -1 (+.f64 beta 2)) 1)) (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (+.f64 (+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 -1 (+.f64 2 beta) 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 1 alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (fma.f64 -1 (+.f64 2 beta) 1)))))
(-.f64 (+.f64 (+.f64 1 (-.f64 (/.f64 1 alpha) (/.f64 (-.f64 1 (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))) (*.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)) (-.f64 1 (+.f64 2 beta)))) (/.f64 (+.f64 2 beta) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(/.f64 (+.f64 1 alpha) (+.f64 alpha 2))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 1 (+.f64 alpha 2))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (/.f64 1 (+.f64 alpha 2)) (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 alpha 2)))))
(+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 (/.f64 1 (+.f64 alpha 2)) (*.f64 (/.f64 beta (/.f64 (+.f64 alpha 2) beta)) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (fma.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 4)))) (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 alpha 2))))))
(+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 4))))) (+.f64 (fma.f64 (neg.f64 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (/.f64 beta (/.f64 (+.f64 alpha 2) beta)) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 1 (+.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 (neg.f64 (+.f64 1 alpha)) (+.f64 alpha 2)) (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 alpha 2))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (neg.f64 (+.f64 1 alpha)) (+.f64 alpha 2)) (*.f64 beta beta)) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (-.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 alpha 2))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (fma.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 4)) (+.f64 (/.f64 (*.f64 (neg.f64 (+.f64 1 alpha)) (+.f64 alpha 2)) (*.f64 beta beta)) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))))))
(+.f64 (/.f64 1 beta) (+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 4)) (pow.f64 (+.f64 alpha 2) 3))) (-.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 alpha 2)))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 (neg.f64 (+.f64 1 alpha)) (+.f64 alpha 2)) (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 alpha 2))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (neg.f64 (+.f64 1 alpha)) (+.f64 alpha 2)) (*.f64 beta beta)) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (-.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 alpha 2))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (fma.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 4)) (+.f64 (/.f64 (*.f64 (neg.f64 (+.f64 1 alpha)) (+.f64 alpha 2)) (*.f64 beta beta)) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))))))
(+.f64 (/.f64 1 beta) (+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 4)) (pow.f64 (+.f64 alpha 2) 3))) (-.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 alpha 2)))))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.8b
(/.f64 1 (*.f64 beta beta))
Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite77.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

simplify170.0ms (1.1%)

Algorithm
egg-herbie
Rules
1118×associate-/r*_binary64
1082×sqr-pow_binary64
560×fabs-mul_binary64
560×cube-prod_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
21984
33484
47484
522084
681984
7202884
8219484
9237884
10258684
11288584
12327884
13375984
14432784
15501784
16585684
17625284
18654284
19681684
20689084
21692484
Stop Event
node limit
Counts
50 → 40
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
Outputs
(/.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))

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.8b
(/.f64 1 (*.f64 beta (neg.f64 beta)))
1.0b
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 beta (neg.f64 beta))))
Compiler

Compiled 35 to 16 computations (54.3% saved)

series4.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite75.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
899×pow1_binary64
836×add-log-exp_binary64
834×log1p-expm1-u_binary64
834×expm1-log1p-u_binary64
112×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01123
123017
2320517
Stop Event
node limit
Counts
2 → 67
Calls
Call 1
Inputs
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(/.f64 1 (*.f64 beta (neg.f64 beta)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (*.f64 beta beta)) (*.f64 alpha (/.f64 -1 (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (/.f64 -1 (*.f64 beta beta))) (/.f64 -1 (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (*.f64 beta beta)) alpha) (*.f64 (/.f64 -1 (*.f64 beta beta)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (*.f64 beta beta)) -1) (*.f64 (/.f64 -1 (*.f64 beta beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha -1) (*.f64 beta beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha -1) (*.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 beta beta) (+.f64 alpha -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 alpha -1)) 2) (/.f64 (*.f64 beta beta) (cbrt.f64 (+.f64 alpha -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 alpha -1)) (/.f64 (*.f64 beta beta) (sqrt.f64 (+.f64 alpha -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 alpha 3)) (*.f64 (*.f64 beta beta) (fma.f64 alpha alpha (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 alpha alpha -1) (*.f64 (*.f64 beta beta) (+.f64 alpha 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 alpha -1)) (*.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 alpha 3)) -1) (*.f64 (fma.f64 alpha alpha (+.f64 1 alpha)) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 alpha alpha -1) -1) (*.f64 (+.f64 alpha 1) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 alpha 3)) 1) (*.f64 (fma.f64 alpha alpha (+.f64 1 alpha)) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 alpha alpha -1) 1) (*.f64 (+.f64 alpha 1) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 alpha 3)) (/.f64 -1 beta)) (*.f64 (fma.f64 alpha alpha (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 -1 beta)) (*.f64 (+.f64 alpha 1) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 -1 (pow.f64 alpha 3))) (*.f64 (*.f64 beta beta) (fma.f64 alpha alpha (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 beta) (+.f64 -1 (pow.f64 alpha 3))) (*.f64 beta (fma.f64 alpha alpha (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 alpha alpha -1)) (*.f64 (*.f64 beta beta) (+.f64 alpha 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 beta) (fma.f64 alpha alpha -1)) (*.f64 beta (+.f64 alpha 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 alpha -1) beta) beta)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 alpha -1) 1) (*.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 alpha -1) (pow.f64 (pow.f64 (cbrt.f64 beta) 2) 2)) (pow.f64 (cbrt.f64 beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 alpha -1)) (*.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha -1) -1) (*.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 alpha 3)) (/.f64 -1 (*.f64 beta beta))) (fma.f64 alpha alpha (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 -1 (*.f64 beta beta))) (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 beta) (+.f64 alpha -1)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha -1) (/.f64 -1 beta)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (*.f64 beta beta)) (+.f64 -1 (pow.f64 alpha 3))) (fma.f64 alpha alpha (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (*.f64 beta beta)) (fma.f64 alpha alpha -1)) (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha -1) (*.f64 beta beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (*.f64 beta beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (*.f64 beta beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 alpha -1)) beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (*.f64 beta beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 alpha -1) (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha -1) (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (*.f64 beta beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha -1) 3) (pow.f64 (*.f64 beta beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha -1) 3) (pow.f64 (/.f64 -1 (*.f64 beta beta)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (*.f64 beta beta)) 3) (pow.f64 (+.f64 alpha -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha -1) (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha -1) (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 alpha -1) (*.f64 beta beta))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (*.f64 beta beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 beta beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 (*.f64 beta beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 beta beta) -2)) (/.f64 -1 (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 beta) (/.f64 -1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 beta) 2) 2) -1) (pow.f64 (pow.f64 (cbrt.f64 beta) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 beta beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (*.f64 beta beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (*.f64 beta beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 beta) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 beta beta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 beta beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 beta beta))))))))

simplify201.0ms (1.3%)

Algorithm
egg-herbie
Rules
1082×sqr-pow_binary64
560×cube-prod_binary64
555×fabs-mul_binary64
523×pow-sqr_binary64
456×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013369
121369
234369
361369
4143369
5445369
61634369
72481369
82645369
92829369
103037369
113336369
123727369
134208369
144776369
155464369
166299369
176693369
186981369
197259369
207331369
217367369
Stop Event
node limit
Counts
103 → 77
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 -1 (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))
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 (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 (+.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 beta) beta)
(/.f64 -1 (pow.f64 beta 2))
(/.f64 -1 (*.f64 beta beta))
(/.f64 (/.f64 -1 beta) beta)
(/.f64 -1 (pow.f64 beta 2))
(/.f64 -1 (*.f64 beta beta))
(/.f64 (/.f64 -1 beta) beta)
(/.f64 -1 (pow.f64 beta 2))
(/.f64 -1 (*.f64 beta beta))
(/.f64 (/.f64 -1 beta) beta)
(/.f64 -1 (pow.f64 beta 2))
(/.f64 -1 (*.f64 beta beta))
(/.f64 (/.f64 -1 beta) beta)
(/.f64 -1 (pow.f64 beta 2))
(/.f64 -1 (*.f64 beta beta))
(/.f64 (/.f64 -1 beta) beta)
(/.f64 -1 (pow.f64 beta 2))
(/.f64 -1 (*.f64 beta beta))
(/.f64 (/.f64 -1 beta) beta)
(/.f64 -1 (pow.f64 beta 2))
(/.f64 -1 (*.f64 beta beta))
(/.f64 (/.f64 -1 beta) beta)
(/.f64 -1 (pow.f64 beta 2))
(/.f64 -1 (*.f64 beta beta))
(/.f64 (/.f64 -1 beta) beta)
(/.f64 -1 (pow.f64 beta 2))
(/.f64 -1 (*.f64 beta beta))
(/.f64 (/.f64 -1 beta) beta)
(/.f64 -1 (pow.f64 beta 2))
(/.f64 -1 (*.f64 beta beta))
(/.f64 (/.f64 -1 beta) beta)
(/.f64 -1 (pow.f64 beta 2))
(/.f64 -1 (*.f64 beta beta))
(/.f64 (/.f64 -1 beta) beta)

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
0.0b
(+.f64 beta (*.f64 beta alpha))
0.1b
(*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
7.3b
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
Compiler

Compiled 67 to 39 computations (41.8% saved)

series50.0ms (0.3%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
17.0ms
beta
@0
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
16.0ms
beta
@inf
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
2.0ms
beta
@-inf
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
2.0ms
alpha
@0
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
2.0ms
alpha
@inf
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))

rewrite137.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
736×fma-def_binary64
385×fma-neg_binary64
323×expm1-udef_binary64
323×log1p-udef_binary64
183×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01457
134455
2554655
Stop Event
node limit
Counts
3 → 157
Calls
Call 1
Inputs
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 beta alpha beta) (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))) 2))))) (#(struct:change #<rule egg-rr> 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beta 3) (sqrt.f64 beta)) (sqrt.f64 beta) (fma.f64 beta 2 6))))))

simplify85.0ms (0.5%)

Algorithm
egg-herbie
Rules
831×times-frac_binary64
612×associate-/l*_binary64
452×associate-/r*_binary64
359×associate-*l/_binary64
238×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02152452
17782354
235382168
Stop Event
node limit
Counts
217 → 230
Calls
Call 1
Inputs
(*.f64 1/6 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)))
(+.f64 (*.f64 -1/36 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/6 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/216 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) 2)) (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (*.f64 -1/36 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/6 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/216 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) 2)) (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 4) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/216 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (+.f64 (*.f64 -1/216 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 7 alpha) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/36 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))))))) (+.f64 (*.f64 -1/36 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/6 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 7 alpha) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 beta 3))))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 7 alpha) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 6 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha))) (+.f64 7 alpha)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 7 alpha) 2)))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 beta 3)))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))
(+.f64 (/.f64 (*.f64 (+.f64 7 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 (-.f64 (*.f64 -1 alpha) 1) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)) (*.f64 (pow.f64 (+.f64 7 alpha) 2) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 7 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))))
(+.f64 (*.f64 6 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 5))) (+.f64 (/.f64 (*.f64 (+.f64 7 alpha) (*.f64 (-.f64 (*.f64 -1 alpha) 1) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 5)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 alpha) 1) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)) (*.f64 (pow.f64 (+.f64 7 alpha) 2) (-.f64 (*.f64 -1 alpha) 1))) (+.f64 7 alpha)) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 alpha) 1) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)) (*.f64 (pow.f64 (+.f64 7 alpha) 2) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 7 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 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) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha) (/.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) 4))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha) (/.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) 4))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha) (+.f64 (*.f64 (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 beta (*.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 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 beta (*.f64 (+.f64 beta 3) alpha)))
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 beta (+.f64 beta 3)))) (pow.f64 alpha 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 beta (*.f64 (+.f64 beta 3) alpha)))
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 beta (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 beta (+.f64 beta 3)))) (pow.f64 alpha 3))))) (/.f64 beta (*.f64 (+.f64 beta 3) alpha)))
(/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 beta (+.f64 beta 3)))) alpha)) (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 beta (+.f64 beta 3)))) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 beta (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 beta (+.f64 beta 3)))) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 beta (+.f64 beta 3)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 beta (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(*.f64 6 (+.f64 2 alpha))
(+.f64 (*.f64 beta (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (*.f64 6 (+.f64 2 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 7 alpha)) (*.f64 6 (+.f64 2 alpha))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 7 alpha)) (*.f64 6 (+.f64 2 alpha)))))
(pow.f64 beta 3)
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 7 alpha)))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 7 alpha)) (*.f64 beta (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha))))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 7 alpha)) (+.f64 (*.f64 6 (+.f64 2 alpha)) (*.f64 beta (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))))))
(pow.f64 beta 3)
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 7 alpha)))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 7 alpha)) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 7 alpha)) (+.f64 (*.f64 6 (+.f64 2 alpha)) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))))))
(*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
6
(+.f64 6 (*.f64 5 beta))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
Outputs
(*.f64 1/6 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)))
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha 2) beta)))
(/.f64 (*.f64 (*.f64 1/6 beta) (+.f64 1 alpha)) (+.f64 alpha 2))
(*.f64 1/6 (*.f64 (/.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))
(+.f64 (*.f64 -1/36 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/6 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha))))
(fma.f64 -1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (*.f64 beta beta) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2)))))) (*.f64 1/6 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha 2) beta))))
(fma.f64 1/6 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (*.f64 (*.f64 -1/36 (*.f64 (+.f64 1 alpha) (*.f64 beta beta))) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3)))) (pow.f64 (+.f64 alpha 2) 2)))
(fma.f64 -1/36 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3)))) (*.f64 1/6 (*.f64 (/.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/216 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) 2)) (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (*.f64 -1/36 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/6 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)))))
(fma.f64 -1 (*.f64 (pow.f64 beta 3) (fma.f64 1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 7))) (*.f64 -1/216 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2))) 2)))))) (fma.f64 -1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (*.f64 beta beta) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2)))))) (*.f64 1/6 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha 2) beta)))))
(-.f64 (fma.f64 1/6 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (*.f64 (*.f64 -1/36 (*.f64 (+.f64 1 alpha) (*.f64 beta beta))) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3)))) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (fma.f64 1/36 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 7)) (/.f64 (*.f64 (+.f64 1 alpha) -1/216) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))) 2))))))
(-.f64 (fma.f64 -1/36 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3)))) (*.f64 1/6 (*.f64 (/.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))) (*.f64 (pow.f64 beta 3) (fma.f64 1/36 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 7)) (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) -1/216) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))) 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/216 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) 2)) (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 4) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/216 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (+.f64 (*.f64 -1/216 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 7 alpha) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/36 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))))))) (+.f64 (*.f64 -1/36 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/6 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha))))))
(fma.f64 -1 (*.f64 (pow.f64 beta 3) (fma.f64 1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 7))) (*.f64 -1/216 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2))) 2)))))) (fma.f64 -1 (*.f64 (pow.f64 beta 4) (fma.f64 -1/6 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 7))) (*.f64 -1/216 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2))) 2))))) (/.f64 (+.f64 alpha 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2))))) (fma.f64 -1/216 (/.f64 (*.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 7)) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 1/36 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (fma.f64 -1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (*.f64 beta beta) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2)))))) (*.f64 1/6 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha 2) beta))))))
(-.f64 (-.f64 (fma.f64 1/6 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) beta) (/.f64 (*.f64 (*.f64 -1/36 (*.f64 (+.f64 1 alpha) (*.f64 beta beta))) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3)))) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 4) (fma.f64 -1/6 (/.f64 (fma.f64 1/36 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 7)) (/.f64 (*.f64 (+.f64 1 alpha) -1/216) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))) 2)))) (/.f64 (+.f64 alpha 2) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))))) (fma.f64 -1/216 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 7)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))))) (*.f64 1/36 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2))))))) (*.f64 (pow.f64 beta 3) (fma.f64 1/36 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 7)) (/.f64 (*.f64 (+.f64 1 alpha) -1/216) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))) 2))))))
(-.f64 (fma.f64 -1/36 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3)))) (*.f64 1/6 (*.f64 (/.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))) (+.f64 (*.f64 (pow.f64 beta 3) (fma.f64 1/36 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 7)) (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) -1/216) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))) 2)))) (*.f64 (pow.f64 beta 4) (fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))) (+.f64 alpha 2)) (fma.f64 1/36 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 7)) (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) -1/216) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))) 2)))) (fma.f64 -1/216 (/.f64 (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 (+.f64 1 alpha) (+.f64 alpha 7)))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) 1/36)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (neg.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 7)) (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 alpha (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 alpha 7))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 alpha (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)) (+.f64 1 alpha))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 7 alpha) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 beta 3))))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 1 alpha) (fma.f64 3 (+.f64 alpha 2) (+.f64 10 (*.f64 alpha 2))) (neg.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 7) 2)))) (pow.f64 beta 4)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (neg.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 7)) (pow.f64 beta 3))))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 alpha 7))) (/.f64 (fma.f64 (+.f64 1 alpha) (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (*.f64 alpha 3))) (*.f64 (pow.f64 (+.f64 alpha 7) 2) (fma.f64 alpha -1 -1))) (pow.f64 beta 4))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (-.f64 (*.f64 (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)) (-.f64 -1 alpha)) (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (*.f64 alpha 3))) (pow.f64 (+.f64 alpha 7) 2))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 7 alpha) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 6 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha))) (+.f64 7 alpha)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 7 alpha) 2)))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 beta 3)))))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 1 alpha) (fma.f64 3 (+.f64 alpha 2) (+.f64 10 (*.f64 alpha 2))) (neg.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 7) 2)))) (pow.f64 beta 4)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (*.f64 -1 (+.f64 (/.f64 (fma.f64 6 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (fma.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 7) (fma.f64 3 (+.f64 alpha 2) (+.f64 10 (*.f64 alpha 2))))) (neg.f64 (*.f64 (+.f64 alpha 7) (fma.f64 (+.f64 1 alpha) (fma.f64 3 (+.f64 alpha 2) (+.f64 10 (*.f64 alpha 2))) (neg.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 7) 2)))))))) (pow.f64 beta 5)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 7)) (pow.f64 beta 3)))))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (-.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (fma.f64 6 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (neg.f64 (*.f64 (+.f64 alpha 7) (+.f64 (*.f64 (+.f64 1 alpha) (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (*.f64 alpha 3)))) (fma.f64 (+.f64 1 alpha) (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (*.f64 alpha 3))) (*.f64 (pow.f64 (+.f64 alpha 7) 2) (fma.f64 alpha -1 -1))))))) (pow.f64 beta 5))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 alpha 7))) (/.f64 (fma.f64 (+.f64 1 alpha) (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (*.f64 alpha 3))) (*.f64 (pow.f64 (+.f64 alpha 7) 2) (fma.f64 alpha -1 -1))) (pow.f64 beta 4))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (*.f64 alpha 3))) (pow.f64 (+.f64 alpha 7) 2))) (pow.f64 beta 4)))) (+.f64 (*.f64 (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)) (+.f64 1 alpha)) (/.f64 (fma.f64 6 (*.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 (+.f64 alpha 7) (-.f64 (*.f64 (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (*.f64 alpha 3))) (-.f64 -1 alpha)) (*.f64 (+.f64 1 alpha) (-.f64 (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (*.f64 alpha 3))) (pow.f64 (+.f64 alpha 7) 2)))))) (pow.f64 beta 5))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(+.f64 (/.f64 (*.f64 (+.f64 7 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2))))
(+.f64 (neg.f64 (/.f64 (fma.f64 -1 alpha -1) (*.f64 beta beta))) (/.f64 (+.f64 alpha 7) (/.f64 (pow.f64 beta 3) (fma.f64 -1 alpha -1))))
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(fma.f64 beta (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (+.f64 alpha 7) (+.f64 12 (*.f64 alpha 6))))
(fma.f64 beta (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))) (fma.f64 (+.f64 alpha 2) 6 (*.f64 beta (*.f64 beta (+.f64 alpha 7)))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 7 alpha)) (*.f64 6 (+.f64 2 alpha)))))
(+.f64 (pow.f64 beta 3) (fma.f64 beta (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (+.f64 alpha 7) (+.f64 12 (*.f64 alpha 6)))))
(+.f64 (pow.f64 beta 3) (fma.f64 beta (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))) (fma.f64 (+.f64 alpha 2) 6 (*.f64 beta (*.f64 beta (+.f64 alpha 7))))))
(pow.f64 beta 3)
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 7 alpha)))
(+.f64 (pow.f64 beta 3) (*.f64 (*.f64 beta beta) (+.f64 alpha 7)))
(*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 7 alpha)) (*.f64 beta (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha))))))
(+.f64 (pow.f64 beta 3) (fma.f64 (*.f64 beta beta) (+.f64 alpha 7) (*.f64 beta (fma.f64 3 (+.f64 alpha 2) (+.f64 10 (*.f64 alpha 2))))))
(+.f64 (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))) (*.f64 beta (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (*.f64 alpha 3)))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 7 alpha)) (+.f64 (*.f64 6 (+.f64 2 alpha)) (*.f64 beta (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))))))
(+.f64 (pow.f64 beta 3) (fma.f64 (*.f64 beta beta) (+.f64 alpha 7) (fma.f64 6 (+.f64 alpha 2) (*.f64 beta (fma.f64 3 (+.f64 alpha 2) (+.f64 10 (*.f64 alpha 2)))))))
(+.f64 (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))) (fma.f64 beta (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (*.f64 alpha 3))) (+.f64 12 (*.f64 alpha 6))))
(pow.f64 beta 3)
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 7 alpha)))
(+.f64 (pow.f64 beta 3) (*.f64 (*.f64 beta beta) (+.f64 alpha 7)))
(*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 7 alpha)) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)))))
(+.f64 (pow.f64 beta 3) (fma.f64 (*.f64 beta beta) (+.f64 alpha 7) (neg.f64 (*.f64 beta (fma.f64 -5 (+.f64 alpha 2) -6)))))
(-.f64 (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))) (*.f64 beta (fma.f64 (+.f64 alpha 2) -5 -6)))
(fma.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7)) (*.f64 (+.f64 -10 (fma.f64 alpha -5 -6)) (neg.f64 beta)))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 7 alpha)) (+.f64 (*.f64 6 (+.f64 2 alpha)) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))))))
(+.f64 (pow.f64 beta 3) (fma.f64 (*.f64 beta beta) (+.f64 alpha 7) (fma.f64 6 (+.f64 alpha 2) (neg.f64 (*.f64 beta (fma.f64 -5 (+.f64 alpha 2) -6))))))
(+.f64 (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))) (fma.f64 (neg.f64 beta) (fma.f64 (+.f64 alpha 2) -5 -6) (+.f64 12 (*.f64 alpha 6))))
(+.f64 (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))) (-.f64 (+.f64 12 (*.f64 alpha 6)) (*.f64 beta (+.f64 -10 (fma.f64 alpha -5 -6)))))
(*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))
(*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))
(*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) alpha)))
6
(+.f64 6 (*.f64 5 beta))
(+.f64 6 (*.f64 beta 5))
(fma.f64 beta 5 6)
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 5 beta)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 5 beta)))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(fma.f64 5 beta (*.f64 beta beta))
(*.f64 beta (+.f64 5 beta))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 5 beta)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 5 beta)))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(fma.f64 5 beta (*.f64 beta beta))
(*.f64 beta (+.f64 5 beta))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 5 beta)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 5 beta)))

localize77.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))
0.0b
(/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1)))
0.7b
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
1.0b
(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
Compiler

Compiled 88 to 62 computations (29.5% saved)

series13.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

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

rewrite117.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
377×fma-neg_binary64
356×log1p-udef_binary64
355×expm1-udef_binary64
213×add-sqr-sqrt_binary64
207×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01757
142757
2680657
Stop Event
node limit
Counts
3 → 127
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 1 beta) (+.f64 1 alpha))) (*.f64 (+.f64 beta 2) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 1 beta) (+.f64 1 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (*.f64 (+.f64 beta 2) (+.f64 beta 3))) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (*.f64 (+.f64 beta 2) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 beta) (/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 beta) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 1 beta) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 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2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 beta)) (*.f64 (*.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 beta)) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (neg.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 1 beta) (+.f64 1 alpha))) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) 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beta 2) (neg.f64 (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 beta) (/.f64 1 (+.f64 beta 3))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (+.f64 beta 3))) (*.f64 (neg.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 1 beta)) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 -1 (neg.f64 beta))) (*.f64 (*.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 3))) (neg.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 -1 (neg.f64 beta))) (*.f64 (+.f64 beta 2) (neg.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))))))) (#(struct:change 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simplify136.0ms (0.9%)

Algorithm
egg-herbie
Rules
690×times-frac_binary64
534×associate-/l*_binary64
261×cancel-sign-sub-inv_binary64
242×distribute-rgt-in_binary64
240×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02913461
110213360
243503185
Stop Event
node limit
Counts
187 → 212
Calls
Call 1
Inputs
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.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 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.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 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.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 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.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 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (*.f64 (+.f64 7 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 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 alpha)) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha))) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 alpha) (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (*.f64 (+.f64 7 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 alpha))))))) (*.f64 6 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (*.f64 (+.f64 7 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 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 alpha)) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (+.f64 7 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -6 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (+.f64 7 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 7 alpha) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (+.f64 7 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))))) (pow.f64 beta 5))))))))
(/.f64 (+.f64 beta 1) (*.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 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 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 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 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.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 (/.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 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 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 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.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 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.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 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 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(-.f64 (+.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 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (/.f64 beta (*.f64 (+.f64 beta 3) alpha))))
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (/.f64 beta (*.f64 (+.f64 beta 3) alpha))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (/.f64 beta (*.f64 (+.f64 beta 3) alpha))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3))))) (pow.f64 alpha 2)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
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 beta 2)
(+.f64 beta (+.f64 2 (*.f64 -1 (*.f64 (+.f64 beta 1) alpha))))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) (pow.f64 alpha 2)) (+.f64 2 (*.f64 -1 (*.f64 (+.f64 beta 1) alpha)))))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) (pow.f64 alpha 2)) (+.f64 2 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 1) (pow.f64 alpha 3))) (*.f64 -1 (*.f64 (+.f64 beta 1) alpha))))))
1
(+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 alpha) (/.f64 1 (pow.f64 alpha 3)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) 1) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) 1) alpha)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) 1) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) 1) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 2 alpha) (+.f64 1 alpha))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 beta (+.f64 1 alpha))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 beta (+.f64 1 alpha))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
Outputs
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))
(/.f64 (+.f64 1/6 (*.f64 alpha 1/6)) (+.f64 alpha 2))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))
(fma.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (*.f64 -1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2))))))) beta (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3)))) -1/36)) beta))
(fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 (/.f64 (*.f64 -1/36 (+.f64 1 alpha)) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))))) beta))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.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 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))))
(fma.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (*.f64 -1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2))))))) beta (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (neg.f64 (*.f64 (*.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (*.f64 -1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2))))))) (/.f64 (+.f64 alpha 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2))))) (*.f64 1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 7)))))))))
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(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2)))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 3 beta) (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta))
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(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (/.f64 beta (*.f64 (+.f64 beta 3) alpha))))
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1/6
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(fma.f64 beta -5/36 1/6)
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1
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1
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(+.f64 (/.f64 (/.f64 (-.f64 -1 beta) alpha) alpha) (-.f64 1 (/.f64 (-.f64 -1 beta) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) 1) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) 1) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))))
(+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 -1 (+.f64 2 beta) 1) alpha) (fma.f64 -1 (/.f64 (fma.f64 -1 (+.f64 2 beta) 1) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (neg.f64 (+.f64 2 beta)) (*.f64 alpha alpha))))))
(+.f64 1 (-.f64 (-.f64 (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) (/.f64 (+.f64 -1 (neg.f64 beta)) (pow.f64 alpha 3))) (/.f64 (+.f64 -1 (neg.f64 beta)) alpha)))
(+.f64 1 (+.f64 (/.f64 (/.f64 (-.f64 -1 beta) alpha) alpha) (+.f64 (/.f64 (+.f64 1 beta) alpha) (/.f64 (+.f64 1 beta) (pow.f64 alpha 3)))))
(/.f64 (+.f64 2 alpha) (+.f64 1 alpha))
(/.f64 (+.f64 alpha 2) (+.f64 1 alpha))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 2 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (/.f64 2 (+.f64 1 alpha)) (/.f64 alpha (+.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 2 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (/.f64 2 (+.f64 1 alpha)) (/.f64 alpha (+.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 2 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (/.f64 2 (+.f64 1 alpha)) (/.f64 alpha (+.f64 1 alpha))))
(/.f64 beta (+.f64 1 alpha))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 2 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (/.f64 2 (+.f64 1 alpha)) (/.f64 alpha (+.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 2 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (/.f64 2 (+.f64 1 alpha)) (/.f64 alpha (+.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 2 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (/.f64 2 (+.f64 1 alpha)) (/.f64 alpha (+.f64 1 alpha))))
(/.f64 beta (+.f64 1 alpha))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 2 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (/.f64 2 (+.f64 1 alpha)) (/.f64 alpha (+.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 2 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (/.f64 2 (+.f64 1 alpha)) (/.f64 alpha (+.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 2 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (/.f64 2 (+.f64 1 alpha)) (/.f64 alpha (+.f64 1 alpha))))

eval1.3s (8.3%)

Compiler

Compiled 41285 to 29568 computations (28.4% saved)

prune208.0ms (1.3%)

Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New1015191034
Fresh101020
Picked101
Done325
Total1029311060
Error
0b
Counts
1060 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
3.1b
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
62.1b
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
33.4b
(/.f64 1 (*.f64 beta beta))
33.0b
(/.f64 (+.f64 1/6 (*.f64 alpha 1/6)) (+.f64 alpha 2))
31.6b
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 -1 beta) beta))
27.2b
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
32.9b
(/.f64 (*.f64 (/.f64 -1 beta) (+.f64 alpha -1)) beta)
30.0b
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
55.1b
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.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)))))
31.7b
(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
37.6b
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
30.0b
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))
61.5b
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))
37.1b
(/.f64 (*.f64 (+.f64 alpha 1) beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
25.6b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
36.7b
(/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
44.2b
(/.f64 alpha (*.f64 beta beta))
2.4b
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 1 alpha)))
32.9b
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
3.7b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
43.1b
(/.f64 (/.f64 alpha beta) beta)
62.8b
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
30.7b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
3.7b
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2)))
32.2b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
32.8b
(pow.f64 beta -2)
62.7b
(/.f64 (/.f64 beta alpha) alpha)
33.0b
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
1.0b
(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (+.f64 -1 (neg.f64 beta))) (neg.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
0.9b
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 beta 2))
13.6b
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
Compiler

Compiled 1004 to 715 computations (28.8% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 96 to 68 computations (29.2% saved)

series13.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite100.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01756
141256
2649956
Stop Event
node limit
Counts
2 → 87
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 beta 2))
(*.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))) (*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 3)))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 3)))) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 3)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 3)))) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (neg.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))))) (/.f64 1 (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) 1) (/.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))) 1) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 3)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 3)))) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 3)))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 3)))) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) 1) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 3)))) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 beta) (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 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simplify119.0ms (0.7%)

Algorithm
egg-herbie
Rules
494×cancel-sign-sub-inv_binary64
377×distribute-rgt-in_binary64
374×distribute-lft-in_binary64
298×fma-def_binary64
282×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03485068
113184935
261374885
Stop Event
node limit
Counts
135 → 172
Calls
Call 1
Inputs
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.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 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.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 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.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 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.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 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (*.f64 (+.f64 7 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 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 alpha)) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha))) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 alpha) (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (*.f64 (+.f64 7 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 alpha))))))) (*.f64 6 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (*.f64 (+.f64 7 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 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 alpha)) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (+.f64 7 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -6 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (+.f64 7 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 7 alpha) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (+.f64 7 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))))) (pow.f64 beta 5))))))))
(/.f64 (+.f64 beta 1) (*.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 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 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 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 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.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 (/.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 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 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 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.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 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.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 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 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(-.f64 (+.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 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (/.f64 beta (*.f64 (+.f64 beta 3) alpha))))
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (/.f64 beta (*.f64 (+.f64 beta 3) alpha))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (/.f64 beta (*.f64 (+.f64 beta 3) alpha))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3))))) (pow.f64 alpha 2)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
(*.f64 1/3 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/9 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/3 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/9 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/9 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/9 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 5 alpha)) (+.f64 2 alpha))))))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/9 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/9 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/9 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 5 alpha)) (+.f64 2 alpha)))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/9 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha))) (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/9 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 5 alpha)) (+.f64 2 alpha)))) (+.f64 5 alpha)) (+.f64 2 alpha)))))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 alpha)) (pow.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 alpha))) (+.f64 5 alpha)) (*.f64 3 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 alpha)) (pow.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 alpha))) (+.f64 5 alpha)) (*.f64 3 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 5 alpha))) (*.f64 3 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 alpha))) (+.f64 2 alpha)))) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 alpha))) (+.f64 5 alpha)) (*.f64 3 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 alpha)) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 3)) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 3) (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 3))))) (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -3 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 3)) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 3) (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 3))))) (*.f64 -3 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 3)))) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 3) (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 3))))) (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -3 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 3)) (pow.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) alpha) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 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)))) (+.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))))) (pow.f64 alpha 2)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) alpha) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 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)))) (+.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))))) (pow.f64 alpha 2)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) alpha) (+.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)))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) alpha)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) alpha)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta 3)))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) alpha)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(+.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 (/.f64 beta (+.f64 beta 3)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta 3)))) alpha))))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 (/.f64 beta (+.f64 beta 3)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta 3)))) alpha)))))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta 3)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 (/.f64 beta (+.f64 beta 3)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta 3)))) alpha))))))
Outputs
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))
(/.f64 (+.f64 1/6 (*.f64 alpha 1/6)) (+.f64 alpha 2))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))
(fma.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (*.f64 -1/36 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2))))))) beta (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 -1/36 (+.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3)))))) beta))
(fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 1/36 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))))))) beta))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.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 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))))
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(-.f64 (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 -1/36 (+.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3)))))) beta)) (*.f64 beta (*.f64 beta (fma.f64 1/6 (/.f64 (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))) (/.f64 (+.f64 alpha 2) (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 -1/36 (+.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3)))))))) (/.f64 (+.f64 1/36 (*.f64 alpha 1/36)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 7)))))))
(-.f64 (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 1/36 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))))))) beta)) (*.f64 beta (*.f64 beta (fma.f64 1/6 (/.f64 (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))) (/.f64 (+.f64 alpha 2) (fma.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 1/36 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 2 (+.f64 alpha 2) (+.f64 12 (*.f64 alpha 3))))))))) (/.f64 (+.f64 1/36 (*.f64 alpha 1/36)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 7)))))))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 beta 3)))
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(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (*.f64 (+.f64 7 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 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 alpha)) (pow.f64 beta 3)))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 alpha 7))))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))))
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(fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 alpha 7))))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 alpha 7) (*.f64 -1 (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 alpha 7)))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -5 (+.f64 alpha 2) -6))) (pow.f64 beta 4)) (/.f64 alpha (*.f64 beta beta)))))
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(-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -6 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 5)) (+.f64 alpha 2)) (+.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (neg.f64 (fma.f64 (+.f64 alpha 7) (fma.f64 (+.f64 1 alpha) -1 (*.f64 (+.f64 1 alpha) (+.f64 alpha 7))) (*.f64 (+.f64 1 alpha) (fma.f64 (+.f64 alpha 2) -5 -6)))) (pow.f64 beta 4))) (*.f64 (/.f64 (+.f64 alpha 7) (pow.f64 beta 5)) (neg.f64 (fma.f64 (+.f64 alpha 7) (fma.f64 (+.f64 1 alpha) -1 (*.f64 (+.f64 1 alpha) (+.f64 alpha 7))) (*.f64 (+.f64 1 alpha) (fma.f64 (+.f64 alpha 2) -5 -6)))))))) (/.f64 (fma.f64 (+.f64 1 alpha) -1 (*.f64 (+.f64 1 alpha) (+.f64 alpha 7))) (/.f64 (pow.f64 beta 5) (fma.f64 (+.f64 alpha 2) -5 -6)))) (/.f64 (fma.f64 (+.f64 1 alpha) -1 (*.f64 (+.f64 1 alpha) (+.f64 alpha 7))) (pow.f64 beta 3)))
(+.f64 (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (-.f64 -7 alpha))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (+.f64 (+.f64 (/.f64 alpha (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 alpha 7) (pow.f64 beta 5)) (fma.f64 (+.f64 alpha 7) (+.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (-.f64 -7 alpha))) (*.f64 (-.f64 -1 alpha) (+.f64 -10 (fma.f64 alpha -5 -6)))))) (fma.f64 -6 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 5)) (+.f64 alpha 2)) (/.f64 (fma.f64 (+.f64 alpha 7) (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha 7)) (-.f64 -1 alpha)) (*.f64 (+.f64 1 alpha) (+.f64 -10 (fma.f64 alpha -5 -6)))) (pow.f64 beta 4)))) (/.f64 (+.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (-.f64 -7 alpha))) (/.f64 (pow.f64 beta 5) (+.f64 -10 (fma.f64 alpha -5 -6)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2))
(+.f64 (*.f64 (-.f64 (+.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 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)))))
(fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 beta (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3)))))) alpha (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2))))
(+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (-.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 3))) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3))))) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2)))))
(+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (-.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 3))) (/.f64 -1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3))))) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2)))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 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 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.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 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 beta (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3)))))) alpha (fma.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 4))) (-.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 beta (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3)))))) (*.f64 alpha alpha) (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)))))
(fma.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (-.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 3))) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 4)) (-.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3)))))) (*.f64 alpha alpha) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))))))
(fma.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (-.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 3))) (/.f64 -1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 4)) (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 4))) (-.f64 (/.f64 -1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 3))))) (*.f64 alpha alpha) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 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 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.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 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.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 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))))
(fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 beta (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3)))))) alpha (fma.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 4))) (-.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 beta (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3)))))) (*.f64 alpha alpha) (fma.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 4))) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 4)))) (+.f64 (/.f64 beta (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 5))) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 5))))) (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2))))))
(fma.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (-.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 3))) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3))))) (fma.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 4)) (-.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3)))))) (*.f64 alpha alpha) (+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 4)) (-.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 5)) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 5)))))) (pow.f64 alpha 3) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2)))))))
(fma.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (-.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 3))) (/.f64 -1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3))))) (fma.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 4)) (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 4))) (-.f64 (/.f64 -1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 3))) (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 3))))) (*.f64 alpha alpha) (+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 4)) (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 4))) (-.f64 (/.f64 (/.f64 -1 (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 5)) (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 5))))) (pow.f64 alpha 3) (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 3 beta) (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta))
(-.f64 (+.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 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (/.f64 beta (*.f64 (+.f64 beta 3) alpha))))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 3 beta)) (*.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 (+.f64 3 beta) (*.f64 alpha (+.f64 2 beta))))) (+.f64 (/.f64 beta (*.f64 (+.f64 3 beta) (+.f64 2 beta))) (/.f64 (/.f64 1 (+.f64 3 beta)) (+.f64 2 beta)))) (+.f64 (/.f64 (/.f64 1 (+.f64 3 beta)) alpha) (/.f64 beta (*.f64 alpha (+.f64 3 beta)))))
(+.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 3 beta)) (+.f64 2 beta)) alpha) (+.f64 (/.f64 beta (*.f64 (+.f64 3 beta) (*.f64 alpha (+.f64 2 beta)))) (-.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 (/.f64 1 (+.f64 3 beta)) (+.f64 2 beta))) (+.f64 (/.f64 (/.f64 1 (+.f64 3 beta)) alpha) (/.f64 beta (*.f64 alpha (+.f64 3 beta)))))))
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(+.f64 (/.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (/.f64 (+.f64 1 beta) (/.f64 (+.f64 3 beta) (+.f64 2 beta))))) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (/.f64 (+.f64 1 beta) (/.f64 (+.f64 3 beta) (+.f64 2 beta))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (+.f64 (/.f64 1 (+.f64 3 beta)) (/.f64 beta (+.f64 3 beta))) (neg.f64 (/.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (/.f64 (+.f64 1 beta) (/.f64 (+.f64 3 beta) (+.f64 2 beta))))) alpha)))))
(+.f64 (+.f64 (/.f64 beta (+.f64 3 beta)) (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta))) alpha) (/.f64 1 (+.f64 3 beta)))) (+.f64 (*.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta))) alpha) (/.f64 (+.f64 2 beta) alpha)) (/.f64 (*.f64 (-.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))
(+.f64 (+.f64 (/.f64 beta (+.f64 3 beta)) (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta))) alpha) (/.f64 1 (+.f64 3 beta)))) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 (+.f64 1 beta) (+.f64 3 beta))) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (*.f64 (-.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
7.8b
(/.f64 alpha (*.f64 beta beta))
Compiler

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite54.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
568×pow1_binary64
529×add-log-exp_binary64
529×log1p-expm1-u_binary64
529×expm1-log1p-u_binary64
515×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11067
214497
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 alpha (*.f64 beta beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 alpha (*.f64 beta beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (*.f64 beta beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 alpha (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 alpha (*.f64 beta beta))) (pow.f64 (cbrt.f64 (/.f64 alpha (*.f64 beta beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (*.f64 beta beta))) 2) (cbrt.f64 (/.f64 alpha (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (pow.f64 beta -2)))))) (#(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 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 alpha) (/.f64 1 (*.f64 beta (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -2) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha beta) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 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 1 beta) (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta) (/.f64 (cbrt.f64 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) (/.f64 alpha (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (/.f64 alpha (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (*.f64 beta beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 alpha (*.f64 beta beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 alpha (*.f64 beta beta))) 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 (/.f64 (*.f64 beta beta) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 alpha (*.f64 beta (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 alpha (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (*.f64 beta beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (*.f64 beta beta))))))))

simplify226.0ms (1.4%)

Algorithm
egg-herbie
Rules
1140×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
111168
220168
335168
475168
5224168
6834168
72043168
82209168
92393168
102601168
112898168
123291168
133772168
144340168
155028168
165863168
176255168
186543168
196819168
206891168
216927168
Stop Event
node limit
Counts
55 → 33
Calls
Call 1
Inputs
(/.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 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))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 16 computations (36% saved)

series6.0ms (0%)

Counts
2 → 36
Calls

12 calls:

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

rewrite79.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify196.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
014387
123387
232387
355387
4123387
5376387
61364387
72213387
82377387
92561387
102769387
113066387
123459387
133940387
144506387
155198387
166035387
176431387
186721387
197003387
207073387
217109387
Stop Event
node limit
Counts
116 → 90
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 alpha beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 alpha beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
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 (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 (+.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 beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 alpha beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 alpha beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
0.1b
(*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
5.0b
(/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
Compiler

Compiled 55 to 37 computations (32.7% saved)

series5.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite80.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
951×prod-diff_binary64
517×fma-def_binary64
289×fma-neg_binary64
275×expm1-udef_binary64
275×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
129522
2467622
Stop Event
node limit
Counts
1 → 43
Calls
Call 1
Inputs
(/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 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3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1))))))

simplify56.0ms (0.4%)

Algorithm
egg-herbie
Rules
936×fma-def_binary64
861×distribute-rgt-in_binary64
841×distribute-lft-in_binary64
777×times-frac_binary64
105×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01501332
15491289
224081199
Stop Event
node limit
Counts
67 → 79
Calls
Call 1
Inputs
(*.f64 1/6 (/.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 -1/36 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/6 (/.f64 beta (+.f64 2 alpha))))
(+.f64 (*.f64 -1/36 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1/216 (/.f64 (pow.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/6 (/.f64 beta (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 4) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 -1/216 (/.f64 (pow.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))) (*.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 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/216 (/.f64 (*.f64 (+.f64 7 alpha) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 3))))))) (+.f64 (*.f64 -1/36 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1/216 (/.f64 (pow.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/6 (/.f64 beta (+.f64 2 alpha))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (+.f64 2 alpha)) (+.f64 (*.f64 2 (+.f64 5 alpha)) (*.f64 -1 (pow.f64 (+.f64 7 alpha) 2)))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 7 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (+.f64 (*.f64 2 (+.f64 5 alpha)) (*.f64 -1 (pow.f64 (+.f64 7 alpha) 2)))))) (+.f64 (*.f64 6 (+.f64 2 alpha)) (*.f64 -1 (*.f64 (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (+.f64 2 alpha)) (+.f64 (*.f64 2 (+.f64 5 alpha)) (*.f64 -1 (pow.f64 (+.f64 7 alpha) 2)))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 7 alpha) 2)) (*.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 (/.f64 (*.f64 (+.f64 7 alpha) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)) (pow.f64 beta 5))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 7 alpha) 2)) (*.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (+.f64 7 alpha)) (pow.f64 beta 5)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 7 alpha) 2)) (*.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))))))))
(/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (*.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 4)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3))))))
(/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (*.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 4)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3))))))
Outputs
(*.f64 1/6 (/.f64 beta (+.f64 2 alpha)))
(/.f64 (*.f64 1/6 beta) (+.f64 2 alpha))
(+.f64 (*.f64 -1/36 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/6 (/.f64 beta (+.f64 2 alpha))))
(fma.f64 -1/36 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2))))) (*.f64 1/6 (/.f64 beta (+.f64 2 alpha))))
(fma.f64 1/6 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (*.f64 (*.f64 beta beta) (fma.f64 2 (+.f64 2 alpha) (+.f64 (*.f64 alpha 3) 12))) (pow.f64 (+.f64 2 alpha) 2))))
(fma.f64 1/6 (/.f64 beta (+.f64 2 alpha)) (/.f64 (*.f64 (*.f64 -1/36 (*.f64 beta beta)) (+.f64 (fma.f64 alpha 3 12) (fma.f64 2 alpha 4))) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (*.f64 -1/36 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1/216 (/.f64 (pow.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/6 (/.f64 beta (+.f64 2 alpha)))))
(fma.f64 -1/36 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2))))) (fma.f64 -1 (*.f64 (pow.f64 beta 3) (fma.f64 -1/216 (/.f64 (pow.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2))) 2) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 beta (+.f64 2 alpha)))))
(fma.f64 -1/36 (/.f64 (*.f64 (*.f64 beta beta) (fma.f64 2 (+.f64 2 alpha) (+.f64 (*.f64 alpha 3) 12))) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (*.f64 1/6 (/.f64 beta (+.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (fma.f64 -1/216 (/.f64 (pow.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 (*.f64 alpha 3) 12)) 2) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)))))))
(fma.f64 1/6 (/.f64 beta (+.f64 2 alpha)) (fma.f64 -1/36 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (fma.f64 alpha 3 12) (fma.f64 2 alpha 4))) (*.f64 (fma.f64 -1/216 (/.f64 (pow.f64 (+.f64 (fma.f64 alpha 3 12) (fma.f64 2 alpha 4)) 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 (fma.f64 alpha 1/36 7/36) (pow.f64 (+.f64 2 alpha) 2))) (neg.f64 (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 4) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 -1/216 (/.f64 (pow.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))) (*.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 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/216 (/.f64 (*.f64 (+.f64 7 alpha) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 3))))))) (+.f64 (*.f64 -1/36 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1/216 (/.f64 (pow.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/6 (/.f64 beta (+.f64 2 alpha))))))
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(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (*.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (neg.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha alpha)))))
(-.f64 (/.f64 beta (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3)))
(-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3)))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (fma.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (*.f64 (/.f64 beta (+.f64 beta 3)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (-.f64 (*.f64 (/.f64 beta (+.f64 beta 3)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (/.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 beta (+.f64 beta 3)) (+.f64 (/.f64 -1 (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 4)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3))))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (fma.f64 -1 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (fma.f64 -1 (*.f64 (/.f64 beta (+.f64 beta 3)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4))) (*.f64 (/.f64 beta (+.f64 beta 3)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))))))
(+.f64 (/.f64 beta (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (-.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 beta 3)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (*.f64 (/.f64 beta (+.f64 beta 3)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4)))) (/.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3))))
(+.f64 (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3))) (*.f64 (/.f64 beta (+.f64 beta 3)) (-.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4)))))

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 68 to 46 computations (32.4% saved)

series18.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

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

rewrite105.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
695×fma-def_binary64
441×fma-neg_binary64
345×log1p-udef_binary64
344×expm1-udef_binary64
197×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01557
137357
2604957
Stop Event
node limit
Counts
3 → 120
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 3))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (sqrt.f64 (/.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)) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 -2 (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 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)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta 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) 2))) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (cbrt.f64 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.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 1) (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 beta 1) (+.f64 -2 (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))) 1))))))

simplify154.0ms (1%)

Algorithm
egg-herbie
Rules
477×distribute-rgt-in_binary64
468×distribute-lft-in_binary64
372×fma-def_binary64
297×unsub-neg_binary64
264×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03844754
114994490
271694415
Stop Event
node limit
Counts
180 → 213
Calls
Call 1
Inputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 7 (*.f64 2 alpha)) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (+.f64 5 (*.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (+.f64 5 (*.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (+.f64 5 (*.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 2 (+.f64 5 (*.f64 2 alpha)))) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))) (pow.f64 beta 5))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (+.f64 (*.f64 -1 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) 1)) (*.f64 -1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2) (+.f64 3 alpha)) (*.f64 -2 (+.f64 2 alpha))))) (pow.f64 beta 4))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (+.f64 (*.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (+.f64 (*.f64 -1 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) 1)) (*.f64 -1 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 (+.f64 3 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))))) (pow.f64 beta 5)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 beta 5))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2) (+.f64 3 alpha)) (*.f64 -2 (+.f64 2 alpha))) (+.f64 (*.f64 -1 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) 1)) (pow.f64 beta 5)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (+.f64 (*.f64 -1 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) 1)) (*.f64 -1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2) (+.f64 3 alpha)) (*.f64 -2 (+.f64 2 alpha))))) (pow.f64 beta 4)))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) alpha)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) alpha)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) 2)) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) 2)) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 6)))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 5))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) alpha)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) 2)) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) 2)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 beta 1) (+.f64 beta 3))) (pow.f64 alpha 4))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) 2)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 beta 1) (+.f64 beta 3)))) (+.f64 beta 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)))) (pow.f64 alpha 5))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) 2)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 beta 1) (+.f64 beta 3))) (pow.f64 alpha 4)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 beta 1) (+.f64 beta 3))) (pow.f64 alpha 4))))))
(+.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 beta 1) (+.f64 beta 3)))) (*.f64 (+.f64 beta 2) (pow.f64 alpha 5)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 beta 3))) (*.f64 (+.f64 beta 2) (pow.f64 alpha 5)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 beta 1) (+.f64 beta 3))) (pow.f64 alpha 4))))))))
(/.f64 1/2 (+.f64 3 alpha))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/4 (/.f64 (+.f64 5 alpha) (pow.f64 (+.f64 3 alpha) 2)))) beta))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/4 (/.f64 (+.f64 5 alpha) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 alpha)) (+.f64 3 alpha)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/4 (/.f64 (+.f64 5 alpha) (pow.f64 (+.f64 3 alpha) 2)))) beta)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/4 (/.f64 (+.f64 5 alpha) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 alpha)) (+.f64 3 alpha)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/4 (/.f64 (+.f64 5 alpha) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 alpha)) (+.f64 3 alpha)))) (+.f64 5 alpha)) (+.f64 3 alpha))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/4 (/.f64 (+.f64 5 alpha) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)))))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/4 (/.f64 (+.f64 5 alpha) (pow.f64 (+.f64 3 alpha) 2)))) beta))))
(/.f64 1 beta)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 alpha) (pow.f64 beta 2))) (/.f64 1 beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 alpha) (+.f64 5 alpha))) (*.f64 2 (+.f64 3 alpha))) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 4 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 alpha) (+.f64 5 alpha))) (*.f64 2 (+.f64 3 alpha))) (+.f64 5 alpha)))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 alpha) (+.f64 5 alpha))) (*.f64 2 (+.f64 3 alpha))) (pow.f64 beta 3))))))
(/.f64 1 beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2))) (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2)) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3)))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2)))) (pow.f64 beta 3)) (+.f64 (*.f64 -2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2)))) (*.f64 -2 (+.f64 3 alpha))) (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2))) (*.f64 2 (*.f64 (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2))) (+.f64 3 alpha)))) (pow.f64 beta 4))))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) (pow.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) (pow.f64 alpha 2)) (+.f64 beta 3)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 4) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 4) (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) (pow.f64 alpha 2)) (+.f64 beta 3)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 4)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 4)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))))
1/2
(+.f64 1/2 (*.f64 1/4 beta))
(+.f64 (*.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (*.f64 1/4 beta)))
(+.f64 (*.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (*.f64 1/4 beta) (*.f64 1/16 (pow.f64 beta 3)))))
1
(-.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))))
1
(-.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))))
Outputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(fma.f64 beta (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))))
(fma.f64 beta (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (*.f64 -1/4 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
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(/.f64 1 beta)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 alpha) (pow.f64 beta 2))) (/.f64 1 beta))
(fma.f64 -1 (/.f64 (+.f64 alpha 4) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 4) (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 (-.f64 -4 alpha) (*.f64 beta beta)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 alpha) (+.f64 5 alpha))) (*.f64 2 (+.f64 3 alpha))) (pow.f64 beta 3)))))
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(/.f64 1 beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) (pow.f64 beta 2))))
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(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 beta)) (/.f64 (fma.f64 (+.f64 alpha 3) -1 -2) (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 (+.f64 1 (+.f64 -2 (-.f64 -3 alpha))) (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2))) (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2)) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3)))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) (pow.f64 beta 2))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 3 beta) (+.f64 2 beta)))
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(fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 2 beta) (pow.f64 (+.f64 3 beta) 2))) (/.f64 beta (*.f64 (+.f64 2 beta) (pow.f64 (+.f64 3 beta) 2))))) (+.f64 (/.f64 beta (*.f64 (+.f64 3 beta) (+.f64 2 beta))) (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (+.f64 2 beta))) (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 beta) (pow.f64 (+.f64 3 beta) 2))) (/.f64 beta (*.f64 (+.f64 2 beta) (pow.f64 (+.f64 3 beta) 2)))) (/.f64 (+.f64 3 beta) (*.f64 alpha alpha))))))
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(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 2 beta)) (+.f64 3 beta)) (-.f64 (/.f64 (/.f64 1 (+.f64 3 beta)) (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (+.f64 2 beta)) (/.f64 (/.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 3 beta) 2)))))) (/.f64 (*.f64 alpha alpha) (/.f64 (+.f64 3 beta) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (+.f64 2 beta)) (/.f64 (/.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 3 beta) 2)))))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) (pow.f64 (+.f64 3 beta) 4)) (/.f64 beta (*.f64 (+.f64 2 beta) (pow.f64 (+.f64 3 beta) 4))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 2 beta)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (+.f64 3 beta) (*.f64 alpha alpha))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 3 beta)))
(+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (-.f64 (/.f64 beta (*.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 3 beta))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha)))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (+.f64 3 beta) (*.f64 alpha alpha))) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))) (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 3 beta) 2)) (*.f64 (+.f64 2 beta) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 beta (*.f64 alpha (+.f64 2 beta))) (fma.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha (+.f64 2 beta))))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 3 beta)))
(+.f64 (fma.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha (+.f64 2 beta)))) (-.f64 (/.f64 beta (*.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 3 beta))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 4)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (+.f64 3 beta) (*.f64 alpha alpha))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 3 beta) 2)) (*.f64 (+.f64 2 beta) (pow.f64 alpha 3))) (fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 3 beta) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))))))
(-.f64 (fma.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 3 beta) 3) (pow.f64 alpha 4))))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 3 beta)))
(-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha (+.f64 2 beta)))) (-.f64 (/.f64 beta (*.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 3 beta)))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 3 beta) 3) (pow.f64 alpha 4))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 2 beta)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (+.f64 3 beta) (*.f64 alpha alpha))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 3 beta)))
(+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (-.f64 (/.f64 beta (*.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 3 beta))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha)))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (+.f64 3 beta) (*.f64 alpha alpha))) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))) (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 3 beta) 2)) (*.f64 (+.f64 2 beta) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 beta (*.f64 alpha (+.f64 2 beta))) (fma.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha (+.f64 2 beta))))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 3 beta)))
(+.f64 (fma.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha (+.f64 2 beta)))) (-.f64 (/.f64 beta (*.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 3 beta))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (+.f64 beta 2) (pow.f64 alpha 4)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (+.f64 3 beta) (*.f64 alpha alpha))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 3 beta) 2)) (*.f64 (+.f64 2 beta) (pow.f64 alpha 3))) (fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 3 beta) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))))))
(-.f64 (fma.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 3 beta) 3) (pow.f64 alpha 4))))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 3 beta)))
(-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha (+.f64 2 beta)))) (-.f64 (/.f64 beta (*.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (+.f64 2 beta)) (+.f64 3 beta)))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 3 beta) 3) (pow.f64 alpha 4))))
1/2
(+.f64 1/2 (*.f64 1/4 beta))
(+.f64 1/2 (*.f64 beta 1/4))
(fma.f64 beta 1/4 1/2)
(+.f64 (*.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (*.f64 1/4 beta)))
(fma.f64 -1/8 (*.f64 beta beta) (+.f64 1/2 (*.f64 beta 1/4)))
(fma.f64 (*.f64 beta beta) -1/8 (fma.f64 beta 1/4 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (*.f64 1/4 beta) (*.f64 1/16 (pow.f64 beta 3)))))
(fma.f64 -1/8 (*.f64 beta beta) (+.f64 1/2 (fma.f64 1/4 beta (*.f64 (pow.f64 beta 3) 1/16))))
(+.f64 (fma.f64 (pow.f64 beta 3) 1/16 (*.f64 beta 1/4)) (fma.f64 (*.f64 beta beta) -1/8 1/2))
1
(-.f64 1 (/.f64 1 beta))
(+.f64 1 (/.f64 -1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 1 beta)))
(+.f64 (/.f64 2 (*.f64 beta beta)) (+.f64 1 (/.f64 -1 beta)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 beta beta)) (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 beta beta)) (-.f64 (/.f64 -1 beta) (/.f64 4 (pow.f64 beta 3)))))
1
(-.f64 1 (/.f64 1 beta))
(+.f64 1 (/.f64 -1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 1 beta)))
(+.f64 (/.f64 2 (*.f64 beta beta)) (+.f64 1 (/.f64 -1 beta)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 beta beta)) (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 beta beta)) (-.f64 (/.f64 -1 beta) (/.f64 4 (pow.f64 beta 3)))))

eval922.0ms (5.8%)

Compiler

Compiled 32067 to 23666 computations (26.2% saved)

prune202.0ms (1.3%)

Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New87316889
Fresh121224
Picked101
Done336
Total88931920
Error
0b
Counts
920 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
32.4b
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
62.1b
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
33.4b
(/.f64 1 (*.f64 beta beta))
30.7b
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
62.7b
(/.f64 (/.f64 beta alpha) alpha)
0.9b
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 alpha))) (+.f64 beta 2))
30.0b
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
3.0b
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2))
61.5b
(/.f64 beta (+.f64 12 (*.f64 alpha 6)))
61.5b
(/.f64 (*.f64 1/6 beta) (+.f64 2 alpha))
31.7b
(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
25.6b
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 1 alpha)) (+.f64 beta 2))
61.5b
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))
37.1b
(/.f64 (*.f64 (+.f64 alpha 1) beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
25.6b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
44.2b
(/.f64 alpha (*.f64 beta beta))
3.7b
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2)))
36.7b
(*.f64 (neg.f64 beta) (/.f64 1 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 2))))))
31.6b
(/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta (+.f64 5 beta))))
43.1b
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
3.7b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
43.1b
(/.f64 (/.f64 alpha beta) beta)
62.8b
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
32.2b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
32.9b
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
37.2b
(/.f64 beta (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
30.0b
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2))
32.8b
(pow.f64 beta -2)
13.6b
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
30.8b
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))
30.7b
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Compiler

Compiled 413 to 300 computations (27.4% saved)

regimes173.0ms (1.1%)

Counts
78 → 1
Calls
Call 1
Inputs
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 beta (+.f64 12 (*.f64 alpha 6)))
(/.f64 (*.f64 1/6 beta) (+.f64 2 alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2))
(/.f64 (+.f64 1/6 (*.f64 alpha 1/6)) (+.f64 alpha 2))
(/.f64 (*.f64 (/.f64 -1 beta) (+.f64 alpha -1)) beta)
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 -1 beta) beta))
(/.f64 beta (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 1 alpha)) (+.f64 beta 2))
(/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta (+.f64 5 beta))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 alpha (*.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.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 alpha alpha)))
(*.f64 (neg.f64 beta) (/.f64 1 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 alpha 1) beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 alpha))) (+.f64 beta 2))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 1 (*.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 3) (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 beta 2))
(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(*.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 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 1 beta) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3))))
(*.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))))
(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (+.f64 -1 (neg.f64 beta))) (neg.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (+.f64 (+.f64 3 alpha) beta) (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 3 alpha) beta) 2))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.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 (*.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)))))
(pow.f64 beta -2)
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (pow.f64 beta 3))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -1) (+.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 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)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta))) 3))
Outputs
(/.f64 (/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
Calls

3 calls:

65.0ms
beta
47.0ms
alpha
22.0ms
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Results
ErrorSegmentsBranch
0.1b1alpha
0.1b1beta
0.1b1(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Compiler

Compiled 1382 to 907 computations (34.4% saved)

regimes149.0ms (0.9%)

Counts
59 → 1
Calls
Call 1
Inputs
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 beta (+.f64 12 (*.f64 alpha 6)))
(/.f64 (*.f64 1/6 beta) (+.f64 2 alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2))
(/.f64 (+.f64 1/6 (*.f64 alpha 1/6)) (+.f64 alpha 2))
(/.f64 (*.f64 (/.f64 -1 beta) (+.f64 alpha -1)) beta)
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 -1 beta) beta))
(/.f64 beta (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 1 alpha)) (+.f64 beta 2))
(/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta (+.f64 5 beta))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 alpha (*.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.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 alpha alpha)))
(*.f64 (neg.f64 beta) (/.f64 1 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 alpha 1) beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 alpha))) (+.f64 beta 2))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 1 (*.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 3) (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 beta 2))
(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
Outputs
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 alpha))) (+.f64 beta 2))
Calls

2 calls:

88.0ms
alpha
37.0ms
beta
Results
ErrorSegmentsBranch
0.9b1alpha
0.9b1beta
Compiler

Compiled 804 to 528 computations (34.3% saved)

regimes156.0ms (1%)

Counts
48 → 2
Calls
Call 1
Inputs
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 beta (+.f64 12 (*.f64 alpha 6)))
(/.f64 (*.f64 1/6 beta) (+.f64 2 alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2))
(/.f64 (+.f64 1/6 (*.f64 alpha 1/6)) (+.f64 alpha 2))
(/.f64 (*.f64 (/.f64 -1 beta) (+.f64 alpha -1)) beta)
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 -1 beta) beta))
(/.f64 beta (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 1 alpha)) (+.f64 beta 2))
(/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta (+.f64 5 beta))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 alpha (*.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.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 alpha alpha)))
(*.f64 (neg.f64 beta) (/.f64 1 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 alpha 1) beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
Outputs
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
Calls

2 calls:

84.0ms
alpha
53.0ms
beta
Results
ErrorSegmentsBranch
1.0b2alpha
0.9b2beta
Compiler

Compiled 565 to 364 computations (35.6% saved)

bsearch31.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
30.0ms
1087330487430.7302
62849832327311.1
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes161.0ms (1%)

Counts
38 → 2
Calls
Call 1
Inputs
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 beta (+.f64 12 (*.f64 alpha 6)))
(/.f64 (*.f64 1/6 beta) (+.f64 2 alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2))
(/.f64 (+.f64 1/6 (*.f64 alpha 1/6)) (+.f64 alpha 2))
(/.f64 (*.f64 (/.f64 -1 beta) (+.f64 alpha -1)) beta)
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 -1 beta) beta))
(/.f64 beta (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 1 alpha)) (+.f64 beta 2))
(/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta (+.f64 5 beta))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 alpha (*.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2))
Outputs
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
Calls

2 calls:

85.0ms
alpha
43.0ms
beta
Results
ErrorSegmentsBranch
1.0b2alpha
0.9b2beta
Compiler

Compiled 387 to 244 computations (37% saved)

bsearch35.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
1087330487430.7302
62849832327311.1
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes157.0ms (1%)

Counts
37 → 2
Calls
Call 1
Inputs
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 beta (+.f64 12 (*.f64 alpha 6)))
(/.f64 (*.f64 1/6 beta) (+.f64 2 alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2))
(/.f64 (+.f64 1/6 (*.f64 alpha 1/6)) (+.f64 alpha 2))
(/.f64 (*.f64 (/.f64 -1 beta) (+.f64 alpha -1)) beta)
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 -1 beta) beta))
(/.f64 beta (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 1 alpha)) (+.f64 beta 2))
(/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta (+.f64 5 beta))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 alpha (*.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Outputs
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
Calls

2 calls:

73.0ms
alpha
66.0ms
beta
Results
ErrorSegmentsBranch
17.1b2alpha
1.7b2beta
Compiler

Compiled 370 to 231 computations (37.6% saved)

bsearch31.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
31.0ms
1.616514520084854e-12
3.486791480101227
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes69.0ms (0.4%)

Counts
31 → 2
Calls
Call 1
Inputs
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 beta (+.f64 12 (*.f64 alpha 6)))
(/.f64 (*.f64 1/6 beta) (+.f64 2 alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2))
(/.f64 (+.f64 1/6 (*.f64 alpha 1/6)) (+.f64 alpha 2))
(/.f64 (*.f64 (/.f64 -1 beta) (+.f64 alpha -1)) beta)
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 -1 beta) beta))
(/.f64 beta (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 1 alpha)) (+.f64 beta 2))
(/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta (+.f64 5 beta))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
Outputs
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 1 alpha)) (+.f64 beta 2))
Calls

2 calls:

31.0ms
beta
30.0ms
alpha
Results
ErrorSegmentsBranch
17.1b2alpha
1.7b2beta
Compiler

Compiled 280 to 175 computations (37.5% saved)

bsearch81.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
80.0ms
1.616514520084854e-12
3.486791480101227
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes96.0ms (0.6%)

Counts
27 → 2
Calls
Call 1
Inputs
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 beta (+.f64 12 (*.f64 alpha 6)))
(/.f64 (*.f64 1/6 beta) (+.f64 2 alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2))
(/.f64 (+.f64 1/6 (*.f64 alpha 1/6)) (+.f64 alpha 2))
(/.f64 (*.f64 (/.f64 -1 beta) (+.f64 alpha -1)) beta)
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 -1 beta) beta))
(/.f64 beta (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))
Outputs
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2)))
Calls

2 calls:

53.0ms
beta
36.0ms
alpha
Results
ErrorSegmentsBranch
17.8b2alpha
1.8b2beta
Compiler

Compiled 226 to 140 computations (38.1% saved)

bsearch33.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
3.486791480101227
2429.168194897777
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes109.0ms (0.7%)

Counts
24 → 2
Calls
Call 1
Inputs
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 beta (+.f64 12 (*.f64 alpha 6)))
(/.f64 (*.f64 1/6 beta) (+.f64 2 alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2))
(/.f64 (+.f64 1/6 (*.f64 alpha 1/6)) (+.f64 alpha 2))
(/.f64 (*.f64 (/.f64 -1 beta) (+.f64 alpha -1)) beta)
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 -1 beta) beta))
(/.f64 beta (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))
Outputs
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2))
Calls

2 calls:

52.0ms
alpha
46.0ms
beta
Results
ErrorSegmentsBranch
17.8b2alpha
1.8b2beta
Compiler

Compiled 193 to 120 computations (37.8% saved)

bsearch56.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
56.0ms
3.486791480101227
2429.168194897777
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes170.0ms (1.1%)

Counts
23 → 2
Calls
Call 1
Inputs
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 beta (+.f64 12 (*.f64 alpha 6)))
(/.f64 (*.f64 1/6 beta) (+.f64 2 alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2))
(/.f64 (+.f64 1/6 (*.f64 alpha 1/6)) (+.f64 alpha 2))
(/.f64 (*.f64 (/.f64 -1 beta) (+.f64 alpha -1)) beta)
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 -1 beta) beta))
(/.f64 beta (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
Outputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2))
Calls

2 calls:

108.0ms
beta
54.0ms
alpha
Results
ErrorSegmentsBranch
18.2b2alpha
1.8b2beta
Compiler

Compiled 182 to 112 computations (38.5% saved)

bsearch93.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
92.0ms
1.616514520084854e-12
3.486791480101227
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes94.0ms (0.6%)

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

2 calls:

62.0ms
beta
22.0ms
alpha
Results
ErrorSegmentsBranch
18.3b2alpha
1.8b2beta
Compiler

Compiled 116 to 68 computations (41.4% saved)

bsearch62.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
62.0ms
1.616514520084854e-12
3.486791480101227
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes76.0ms (0.5%)

Counts
15 → 2
Calls
Call 1
Inputs
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 beta (+.f64 12 (*.f64 alpha 6)))
(/.f64 (*.f64 1/6 beta) (+.f64 2 alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
Outputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Calls

2 calls:

53.0ms
beta
18.0ms
alpha
Results
ErrorSegmentsBranch
18.3b2alpha
1.8b2beta
Compiler

Compiled 107 to 62 computations (42.1% saved)

bsearch35.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
35.0ms
1.616514520084854e-12
3.486791480101227
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes29.0ms (0.2%)

Counts
14 → 1
Calls
Call 1
Inputs
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 beta (+.f64 12 (*.f64 alpha 6)))
(/.f64 (*.f64 1/6 beta) (+.f64 2 alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
Outputs
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Calls

2 calls:

15.0ms
beta
10.0ms
alpha
Results
ErrorSegmentsBranch
30.7b1alpha
30.7b1beta
Compiler

Compiled 98 to 55 computations (43.9% saved)

regimes26.0ms (0.2%)

Counts
8 → 2
Calls
Call 1
Inputs
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 beta (+.f64 12 (*.f64 alpha 6)))
(/.f64 (*.f64 1/6 beta) (+.f64 2 alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
Outputs
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 (/.f64 alpha beta) beta)
Calls

2 calls:

17.0ms
alpha
6.0ms
beta
Results
ErrorSegmentsBranch
31.0b2alpha
32.9b1beta
Compiler

Compiled 56 to 32 computations (42.9% saved)

bsearch33.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
1.311188220593473e-6
0.0011649303726122657
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes22.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 beta (+.f64 12 (*.f64 alpha 6)))
(/.f64 (*.f64 1/6 beta) (+.f64 2 alpha))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
Outputs
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
Calls

2 calls:

10.0ms
alpha
10.0ms
beta
Results
ErrorSegmentsBranch
31.6b2alpha
33.4b1beta
Compiler

Compiled 49 to 27 computations (44.9% saved)

bsearch33.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
1.311188220593473e-6
0.0011649303726122657
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total -29.9b remaining (-89.5%)

Threshold costs -29.9b (-89.5%)

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

2 calls:

4.0ms
alpha
4.0ms
beta
Results
ErrorSegmentsBranch
33.4b1alpha
33.4b1beta
Compiler

Compiled 23 to 12 computations (47.8% saved)

simplify17.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
075492
193492
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 alpha))) (+.f64 beta 2))
(if (<=.f64 beta 4453705676516271/4096) (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 4453705676516271/4096) (/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 128073475103950832/79228162514264337593543950336) (/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 128073475103950832/79228162514264337593543950336) (/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 1 alpha)) (+.f64 beta 2)))
(if (<=.f64 beta 7851556405251253/2251799813685248) (/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 7851556405251253/2251799813685248) (/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2)))
(if (<=.f64 beta 128073475103950832/79228162514264337593543950336) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2)))
(if (<=.f64 beta 128073475103950832/79228162514264337593543950336) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha))))
(if (<=.f64 beta 128073475103950832/79228162514264337593543950336) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(if (<=.f64 alpha 1547977826416027/1180591620717411303424) (*.f64 (/.f64 1 beta) (/.f64 1 beta)) (/.f64 (/.f64 alpha beta) beta))
(if (<=.f64 alpha 1547977826416027/1180591620717411303424) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
Outputs
(/.f64 (/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 1 alpha))) (+.f64 beta 2))
(if (<=.f64 beta 4453705676516271/4096) (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 4453705676516271/4096) (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 4453705676516271/4096) (/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 4453705676516271/4096) (/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 beta 2))) (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 128073475103950832/79228162514264337593543950336) (/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 8004592193996927/4951760157141521099596496896) (/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 128073475103950832/79228162514264337593543950336) (/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 1 alpha)) (+.f64 beta 2)))
(if (<=.f64 beta 8004592193996927/4951760157141521099596496896) (/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2)))
(if (<=.f64 beta 7851556405251253/2251799813685248) (/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 7851556405251253/2251799813685248) (/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2)))
(if (<=.f64 beta 128073475103950832/79228162514264337593543950336) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2)))
(if (<=.f64 beta 8004592193996927/4951760157141521099596496896) (/.f64 1/2 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 2)))
(if (<=.f64 beta 128073475103950832/79228162514264337593543950336) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha))))
(if (<=.f64 beta 8004592193996927/4951760157141521099596496896) (/.f64 1/2 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha))))
(if (<=.f64 beta 128073475103950832/79228162514264337593543950336) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 8004592193996927/4951760157141521099596496896) (/.f64 1/2 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(if (<=.f64 alpha 1547977826416027/1180591620717411303424) (*.f64 (/.f64 1 beta) (/.f64 1 beta)) (/.f64 (/.f64 alpha beta) beta))
(if (<=.f64 alpha 1547977826416027/1180591620717411303424) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
Compiler

Compiled 369 to 265 computations (28.2% saved)

soundness234.0ms (1.5%)

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)

end222.0ms (1.4%)

Remove

(sort alpha beta)

Compiler

Compiled 393 to 269 computations (31.6% saved)

Profiling

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