Details

analyze54.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	56.2%	43.8%	0%	0%	0%	0
0%	0%	56.2%	43.8%	0%	0%	0%	1
0%	0%	56.2%	43.8%	0%	0%	0%	2
25%	14%	42.1%	43.8%	0%	0%	0%	3
37.5%	21.1%	35.1%	43.8%	0%	0%	0%	4
56.3%	31.6%	24.6%	43.8%	0%	0%	0%	5
65.6%	36.9%	19.3%	43.8%	0%	0%	0%	6
76.6%	43%	13.2%	43.8%	0%	0%	0%	7
82%	46.1%	10.1%	43.8%	0%	0%	0%	8
87.9%	49.4%	6.8%	43.8%	0%	0%	0%	9
90.8%	51%	5.2%	43.8%	0%	0%	0%	10
93.8%	52.7%	3.5%	43.8%	0%	0%	0%	11
95.4%	53.6%	2.6%	43.8%	0%	0%	0%	12

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.4s (6.6%)

Results

1.4s

8256×

body

256

valid

Bogosity

preprocess391.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

2372×	`associate-/l*`
1520×	`+-commutative`
1320×	`distribute-lft-in`
1166×	`*-commutative`
848×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	158
1	64	150
2	160	150
3	656	146
4	3490	146
5	4307	146
6	4616	146
7	5113	146
8	5554	146
9	5567	146
10	6057	146
11	6356	146
12	6610	146
13	6872	146
14	7571	146
15	7590	146
16	7597	146
17	7604	146
18	7611	146
19	7618	146
20	7625	146
21	7632	146
22	7654	146
23	7661	146
0	2	2
1	2	2

Stop Event

1×	unsound
1×	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 1 (+.f64 alpha (+.f64 beta (.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (fma.f64 alpha beta (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (fma.f64 alpha beta alpha) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))
(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 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 1 (+.f64 alpha (+.f64 beta (.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (fma.f64 alpha beta (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (fma.f64 alpha beta alpha) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))
(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))))))

Symmetry

(sort alpha beta)

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify680.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

8048×	`associate-+r+`
2246×	`associate-/l*`
1374×	`*-commutative`
1060×	`distribute-lft-in`
808×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	38	75
2	117	75
3	494	73
4	2614	73
5	3312	73
6	3575	73
7	4028	73
8	4449	73
9	4462	73
10	4697	73
11	4824	73
12	4967	73
13	5267	73
14	5933	73
15	6131	73
16	6154	73
17	6161	73
18	6168	73
19	6175	73
20	6182	73
21	6189	73
22	6196	73
23	6203	73
24	7340	73
25	7347	73
26	7354	73
27	7361	73
28	7368	73
29	7375	73
30	7382	73
31	7389	73
32	7396	73
33	7403	73
34	7410	73
35	7417	73
36	7424	73
37	7431	73
38	7438	73
39	7445	73

Stop Event

1×	node limit

Counts

1 → 9

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

eval3.0ms (0%)

Compiler: Compiled 241 to 150 computations (37.8% saved)

prune7.0ms (0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	4	5	9
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	6	10

Error

0.05%

Counts

10 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.44%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
▶	5.88%	(/.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))))
▶	0.16%	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
▶	5.88%	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	2.68%	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 294 to 198 computations (32.7% saved)

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))
✓	0.03%	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
✓	0.04%	(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
✓	0.13%	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 97 to 65 computations (33% saved)

series24.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	0	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
3.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
2.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
2.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
2.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))

rewrite184.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`+-commutative`
436×	`add-sqr-sqrt`
426×	`pow1`
426×	`*-un-lft-identity`
408×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	196
1	414	160
2	6531	160

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

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

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

simplify225.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1524×	`associate-r`
1424×	`associate-l`
1400×	`+-commutative`
1096×	`associate-+r+`
778×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	961	25429
1	3441	25237

Stop Event

1×	node limit

Counts

265 → 510

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 7 (.f64 2 beta))) (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta)))))))) (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
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(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
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(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (+.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 7 (+.f64 alpha (.f64 2 alpha))) (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))))) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))
(+.f64 (/.f64 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))))) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))))) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (.f64 2 (/.f64 (.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 2 (/.f64 (.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 2 (/.f64 (.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(pow.f64 (+.f64 2 alpha) 2)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (-.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (-.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (-.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))
beta
(+.f64 beta (+.f64 3 (*.f64 2 alpha)))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (+.f64 (.f64 2 (/.f64 alpha beta)) (*.f64 3 (/.f64 1 beta))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (.f64 2 alpha) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))))) (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 3 (/.f64 1 beta)))))
beta
(-.f64 (+.f64 beta (*.f64 2 (+.f64 2 alpha))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1 (-.f64 (.f64 2 (+.f64 2 alpha)) 1))) beta)) (+.f64 beta (*.f64 2 (+.f64 2 alpha)))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1 (-.f64 (.f64 2 (+.f64 2 alpha)) 1))) beta)) (+.f64 beta (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (.f64 2 (+.f64 2 alpha))))) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 2 (+.f64 2 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)))
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 alpha (+.f64 beta 1))
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1
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1
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(log.f64 (exp.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (pow.f64 (+.f64 1 beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))

Outputs
(/.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 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 alpha (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))))))))
(+.f64 (/.f64 (/.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 alpha (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (fma.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 4))))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(fma.f64 -1 (.f64 (pow.f64 alpha 3) (fma.f64 -1 (.f64 (/.f64 (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4)) (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (+.f64 (+.f64 beta 7) (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 4)))))))))
(fma.f64 -1 (.f64 (pow.f64 alpha 3) (fma.f64 -1 (.f64 (/.f64 (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4)) (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (+.f64 (.f64 beta 2) (+.f64 beta 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 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (fma.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 4))))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (.f64 alpha alpha))) (+.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (+.f64 beta 7) (*.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (.f64 alpha alpha))) (-.f64 (+.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (*.f64 beta 2) (+.f64 beta 7))))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.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 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (.f64 alpha alpha))) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta (-.f64 1 (.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 7) (.f64 beta 2))))) (+.f64 (+.f64 beta 7) (.f64 beta 2)) (.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (+.f64 beta 7) (.f64 beta 2)))))
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(+.f64 (/.f64 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))))) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))))) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))))))
(+.f64 (/.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (/.f64 (pow.f64 beta 5) (fma.f64 -1 (.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (.f64 -1 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))))) (fma.f64 -1 (/.f64 (fma.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 5) (.f64 -1 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))))) (+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 -1 (/.f64 (.f64 -1 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 -1 (.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (.f64 -1 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4)))))))))
(+.f64 (+.f64 (/.f64 (.f64 1 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (.f64 3 alpha))))) (pow.f64 beta 3)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (.f64 1 (+.f64 (.f64 (.f64 (+.f64 7 (.f64 3 alpha)) -1) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (.f64 3 alpha))))) (.f64 (+.f64 1 alpha) (fma.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))) (/.f64 1 (.f64 beta beta)))) (+.f64 (/.f64 (+.f64 7 (.f64 3 alpha)) (/.f64 (pow.f64 beta 5) (+.f64 (.f64 (.f64 1 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (.f64 3 alpha))))) (+.f64 7 (.f64 3 alpha))) (.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))))) (/.f64 (.f64 (.f64 1 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (.f64 3 alpha))))) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 5))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (.f64 alpha alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (.f64 alpha alpha) (+.f64 beta 1))))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(/.f64 (*.f64 alpha alpha) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (.f64 alpha alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (.f64 alpha alpha) (+.f64 beta 1))))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(/.f64 (*.f64 alpha alpha) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (.f64 2 (/.f64 (.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (.f64 alpha alpha) (+.f64 beta 1)) (/.f64 (.f64 2 (*.f64 (+.f64 beta 2) alpha)) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 2 (/.f64 (.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (.f64 alpha alpha) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (.f64 2 (*.f64 (+.f64 beta 2) alpha)) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (/.f64 (.f64 alpha alpha) (+.f64 beta 1)) (/.f64 (.f64 2 (*.f64 (+.f64 beta 2) alpha)) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 2 (/.f64 (.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (.f64 alpha alpha) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (.f64 2 (*.f64 (+.f64 beta 2) alpha)) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (/.f64 (.f64 alpha alpha) (+.f64 beta 1)) (/.f64 (.f64 2 (*.f64 (+.f64 beta 2) alpha)) (+.f64 beta 1))))
(pow.f64 (+.f64 2 alpha) 2)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (-.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (+.f64 4 (-.f64 (.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (-.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))
(fma.f64 (.f64 beta beta) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (+.f64 4 (-.f64 (.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (-.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))
(fma.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 (.f64 beta beta) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (+.f64 4 (-.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))))))
(fma.f64 (pow.f64 beta 3) (+.f64 (.f64 2 alpha) (-.f64 3 (pow.f64 (+.f64 2 alpha) 2))) (fma.f64 (.f64 beta beta) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (+.f64 4 (-.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))))))
beta
(+.f64 beta (+.f64 3 (*.f64 2 alpha)))
(+.f64 (+.f64 beta 3) (*.f64 2 alpha))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (+.f64 (.f64 2 (/.f64 alpha beta)) (*.f64 3 (/.f64 1 beta))))
(+.f64 beta (-.f64 (+.f64 3 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) (fma.f64 2 (/.f64 alpha beta) (/.f64 3 beta))))
(+.f64 beta (+.f64 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (-.f64 3 (fma.f64 2 (/.f64 alpha beta) (/.f64 3 beta)))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (.f64 2 alpha) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))))) (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 3 (/.f64 1 beta)))))
(-.f64 (+.f64 (+.f64 beta 3) (fma.f64 2 (/.f64 alpha (.f64 beta beta)) (fma.f64 2 alpha (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta) (/.f64 3 (.f64 beta beta)))))) (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 3 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))))
(+.f64 beta (+.f64 (fma.f64 2 (/.f64 alpha (.f64 beta beta)) (+.f64 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (/.f64 3 (.f64 beta beta)))) (-.f64 3 (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 3 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))))
beta
(-.f64 (+.f64 beta (*.f64 2 (+.f64 2 alpha))) 1)
(+.f64 beta (+.f64 3 (*.f64 2 alpha)))
(+.f64 (+.f64 beta 3) (*.f64 2 alpha))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1 (-.f64 (.f64 2 (+.f64 2 alpha)) 1))) beta)) (+.f64 beta (*.f64 2 (+.f64 2 alpha)))) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 -1 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 2 (+.f64 2 alpha) -1))) beta)) (+.f64 beta (fma.f64 2 (+.f64 2 alpha) -1)))
(+.f64 (+.f64 (+.f64 beta 3) (.f64 2 alpha)) (/.f64 (.f64 1 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) beta))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1 (-.f64 (.f64 2 (+.f64 2 alpha)) 1))) beta)) (+.f64 beta (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (.f64 2 (+.f64 2 alpha))))) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 2 (+.f64 2 alpha)) 1) (pow.f64 beta 2)))))
(-.f64 (fma.f64 -1 (/.f64 (.f64 -1 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 2 (+.f64 2 alpha) -1))) beta) (+.f64 beta (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta beta)) (+.f64 4 (.f64 2 alpha))))) (+.f64 1 (/.f64 (neg.f64 (fma.f64 2 (+.f64 2 alpha) -1)) (.f64 beta beta))))
(+.f64 (+.f64 beta (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta beta)) (+.f64 4 (.f64 2 alpha)))) (-.f64 (/.f64 (.f64 1 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (.f64 2 alpha)))) beta) (+.f64 1 (/.f64 (neg.f64 (+.f64 3 (.f64 2 alpha))) (.f64 beta beta)))))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2)))))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 2 (+.f64 alpha beta))))
(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (-.f64 -2 (+.f64 beta alpha))) (-.f64 -1 beta)) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 (+.f64 2 alpha) beta)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (-.f64 -2 (+.f64 beta alpha))) (.f64 (-.f64 -1 beta) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (+.f64 (+.f64 2 alpha) beta) (hypot.f64 1 (sqrt.f64 beta)))) (.f64 (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 (+.f64 2 alpha) beta)) (hypot.f64 1 (sqrt.f64 beta))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (hypot.f64 1 (sqrt.f64 beta)))) (.f64 (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 beta (+.f64 2 alpha))) (hypot.f64 1 (sqrt.f64 beta))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 2)) (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))) 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))) 2))
(pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 1)
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) 2)
(pow.f64 (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 (+.f64 2 alpha) beta)) (hypot.f64 1 (sqrt.f64 beta))) 2)
(pow.f64 (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 beta (+.f64 2 alpha))) (hypot.f64 1 (sqrt.f64 beta))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 3)
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 3) 1/3)
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) (+.f64 alpha 1)) -1)
(/.f64 1 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (*.f64 (+.f64 1 alpha) (+.f64 beta 1))))
(/.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (*.f64 (+.f64 1 alpha) (+.f64 beta 1))))
(neg.f64 (/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(/.f64 (neg.f64 (+.f64 1 alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))))
(/.f64 (neg.f64 (+.f64 1 alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 3))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (log1p.f64 beta))))
(exp.f64 (+.f64 (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 (+.f64 (+.f64 2 alpha) beta)))) (log1p.f64 beta)))
(exp.f64 (+.f64 (log1p.f64 beta) (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 (+.f64 beta (+.f64 2 alpha)))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (log1p.f64 beta))) 1))
(exp.f64 (+.f64 (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 (+.f64 (+.f64 2 alpha) beta)))) (log1p.f64 beta)))
(exp.f64 (+.f64 (log1p.f64 beta) (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 (+.f64 beta (+.f64 2 alpha)))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))) 1)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.f64 1 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 -1 (-.f64 -1 beta)))
(/.f64 (*.f64 (+.f64 (+.f64 2 alpha) beta) -1) (-.f64 -1 beta))
(/.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) -1) (-.f64 -1 beta))
(*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -1 beta))))
(.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))))
(.f64 (/.f64 -1 (-.f64 -1 beta)) (.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -1 beta))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (.f64 (/.f64 -1 (-.f64 -1 beta)) (cbrt.f64 (+.f64 (+.f64 2 alpha) beta))))
(.f64 (/.f64 -1 (-.f64 -1 beta)) (.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (*.f64 (+.f64 (+.f64 2 alpha) beta) -1) (-.f64 -1 beta))
(/.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) -1) (-.f64 -1 beta))
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 1 (-.f64 -1 beta)))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 1 (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 1 (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (+.f64 (+.f64 2 alpha) beta) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) 1) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta)))
(*.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (/.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (+.f64 beta 1)))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (/.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) (+.f64 beta 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)))
(pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 3)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3) 1/3)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) -1)
(/.f64 1 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 beta alpha))))
(neg.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(/.f64 (neg.f64 (+.f64 (+.f64 2 alpha) beta)) (-.f64 -1 beta))
(/.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (-.f64 -1 beta))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (pow.f64 (+.f64 1 beta) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 3) (pow.f64 (+.f64 beta 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (pow.f64 (+.f64 beta 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)))
(exp.f64 (-.f64 (log.f64 (+.f64 (+.f64 2 alpha) beta)) (log1p.f64 beta)))
(exp.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 2 alpha))) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 (+.f64 2 alpha) beta)) (log1p.f64 beta)))
(exp.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 2 alpha))) (log1p.f64 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))
✓	0.05%	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.09%	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1))
✓	2.62%	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 87 to 53 computations (39.1% saved)

series11.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	beta	@	-inf	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	inf	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	0	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	0	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	0	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1))

rewrite156.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`associate-+l+`
492×	`+-commutative`
446×	`add-sqr-sqrt`
436×	`pow1`
436×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	142
1	422	142
2	6874	142

Stop Event

1×	node limit

Counts

4 → 192

Calls

Call 1

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

Outputs
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simplify200.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1706×	`associate-r`
1588×	`associate-l`
1408×	`+-commutative`
1156×	`associate-+r+`
884×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	959	23816
1	3408	23152

Stop Event

1×	node limit

Counts

288 → 507

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 7 (.f64 2 beta))) (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta)))))))) (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)))) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))
(+.f64 (/.f64 (.f64 (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (+.f64 (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)))))) (pow.f64 alpha 5)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (+.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)))) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.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))
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(/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (-.f64 (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (-.f64 (-.f64 alpha beta) 2) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 (-.f64 alpha beta) 2)))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (+.f64 beta (+.f64 alpha 2)) alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))) 1)
(*.f64 1 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(.f64 (+.f64 alpha 1) (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 1))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 1)
(.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) (.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 1))
(.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 1))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha 1))
(*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (+.f64 alpha (-.f64 beta 3)))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 9 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))

Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 alpha (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 alpha (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.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 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))))) (/.f64 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 (/.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 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4)))))))))
(+.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))) (fma.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (.f64 alpha (.f64 alpha (+.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (.f64 2 (+.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 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 4))))))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(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 (/.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 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 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 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 (.f64 beta 2) 7)))) (/.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 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4))))))))))
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(.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) (.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 1))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (.f64 (/.f64 1 (+.f64 (+.f64 beta 3) alpha)) (cbrt.f64 (+.f64 1 alpha))))
(.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (.f64 (cbrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 2))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 1))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha 1))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -3)))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (+.f64 beta alpha)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 (+.f64 beta 3) alpha))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (+.f64 alpha (-.f64 beta 3)))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta -3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 -3 alpha))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 9 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 (+.f64 alpha beta) 3))))
(.f64 (/.f64 (+.f64 1 alpha) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 9 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 3 (+.f64 beta alpha))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 (+.f64 beta 3) alpha))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 3 (+.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)))
(pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 1)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 2)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 3)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) -1)
(/.f64 1 (/.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 1 alpha)))
(/.f64 1 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)))
(neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -3)))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (+.f64 beta alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 3))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 beta 3) alpha))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 beta alpha)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 beta 3) alpha))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 beta alpha)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))

localize28.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.05%

(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))

✓

2.62%

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

✓

4.12%

(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 85 to 53 computations (37.6% saved)

series31.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	alpha	@	0	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	0	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms	alpha	@	inf	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms	beta	@	-inf	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms	alpha	@	-inf	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`+-commutative`
500×	`associate-+l+`
452×	`associate-+r+`
442×	`add-sqr-sqrt`
432×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	98
1	419	98
2	6742	98

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

Inputs

(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (neg.f64 (+.f64 1 alpha))) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9)) (+.f64 beta (-.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 9) (*.f64 (+.f64 beta alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (sqrt.f64 (+.f64 beta (+.f64 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simplify182.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1188×	`distribute-lft-in`
920×	`+-commutative`
876×	`associate-r`
792×	`*-commutative`
754×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	638	16670
1	2248	16358

Stop Event

1×	node limit

Counts

138 → 282

Calls

Call 1

Inputs
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (/.f64 alpha (+.f64 3 alpha)) (*.f64 beta (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))))))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 alpha (+.f64 3 alpha)) (.f64 beta (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))))))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))) (+.f64 (/.f64 alpha (+.f64 3 alpha)) (*.f64 beta (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 beta 2))) (+.f64 1 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 beta 2))) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)) alpha))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) beta))
(+.f64 1 alpha)
(+.f64 1 (+.f64 alpha (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) beta))))
(+.f64 1 (+.f64 alpha (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) beta)) (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) (+.f64 3 alpha)) (pow.f64 beta 2)))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3))) (+.f64 alpha (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) beta)) (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) (+.f64 3 alpha)) (pow.f64 beta 2))))))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))))
(+.f64 (.f64 (pow.f64 alpha 2) (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))))
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(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 3) (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (-.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(exp.f64 (.f64 (-.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) (log.f64 (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 alpha beta) 1)
✓	0.05%	(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
✓	2.61%	(/.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))))
✓	4.13%	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))

Compiler

Compiled 93 to 46 computations (50.5% saved)

series13.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	-inf	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
1.0ms	alpha	@	inf	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
1.0ms	alpha	@	-inf	(/.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))))
1.0ms	beta	@	-inf	(/.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))))
1.0ms	alpha	@	0	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))

rewrite126.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`associate-+l+`
612×	`+-commutative`
560×	`associate-+r+`
444×	`add-sqr-sqrt`
434×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	154
1	420	142
2	6857	142

Stop Event

1×	node limit

Counts

4 → 202

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2) (.f64 (cbrt.f64 (+.f64 (+.f64 alpha 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 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 1) (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 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simplify207.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1232×	`+-commutative`
1102×	`associate-r`
1004×	`*-commutative`
968×	`associate-l`
902×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	898	22220
1	3031	22032

Stop Event

1×	node limit

Counts

298 → 464

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

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

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)
✓	0.04%	(/.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)))
✓	0.13%	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
✓	4.13%	(/.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)

series9.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
1.0ms	alpha	@	0	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
1.0ms	beta	@	0	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
0.0ms	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))

rewrite114.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`associate-+l+`
538×	`associate-+r+`
514×	`+-commutative`
388×	`add-sqr-sqrt`
380×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	196
1	368	160
2	5911	160

Stop Event

1×	node limit

Counts

4 → 164

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
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simplify236.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1458×	`+-commutative`
1334×	`associate-r`
1294×	`associate-l`
1108×	`associate-+r+`
860×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	952	25474
1	3272	25186

Stop Event

1×	node limit

Counts

260 → 488

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))))
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(.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) (pow.f64 beta 2)))
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(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
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(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
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(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))
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(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
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(/.f64 (+.f64 1 alpha) beta)
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(.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) beta))
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(+.f64 beta 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 3 alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))) 1)
(.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) (.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))
(*.f64 (-.f64 -1 (fma.f64 alpha beta (+.f64 alpha beta))) (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))
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(pow.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 3) 1/3)
(pow.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))) (-.f64 -2 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(-.f64 (+.f64 alpha (+.f64 beta 3)) 0)
(-.f64 (+.f64 alpha (+.f64 beta 1)) -2)
(-.f64 (exp.f64 (log1p.f64 alpha)) (-.f64 1 (+.f64 beta 3)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 3)))) 1)
(-.f64 (exp.f64 (log1p.f64 beta)) (-.f64 1 (+.f64 alpha 3)))
(-.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (-.f64 (/.f64 (.f64 beta beta) (-.f64 alpha beta)) 3))
(-.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 alpha (+.f64 beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 1))))
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta -2))) (-.f64 (/.f64 4 (+.f64 alpha (+.f64 beta -2))) 1))
(-.f64 (+.f64 4 (+.f64 alpha beta)) 1)
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta -2)))) (/.f64 4 (+.f64 alpha (+.f64 beta -2))))
(-.f64 (+.f64 3 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta))) (/.f64 (.f64 beta beta) (-.f64 alpha beta)))
(*.f64 1 (+.f64 alpha (+.f64 beta 3)))
(*.f64 (+.f64 alpha (+.f64 beta 3)) 1)
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1) (/.f64 1 (+.f64 alpha (+.f64 beta 1))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta)))))
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta))) (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1) (+.f64 alpha (+.f64 beta 1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1)) (neg.f64 (+.f64 alpha (+.f64 beta 1))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta)))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (-.f64 (+.f64 alpha beta) 3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (-.f64 -1 (+.f64 alpha beta)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) 27) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (*.f64 (+.f64 alpha beta) 3)))
(pow.f64 (+.f64 alpha (+.f64 beta 3)) 1)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 3)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta 3)))))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 3))))
(exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta 3))))
(fma.f64 1 (+.f64 alpha beta) 3)
(fma.f64 1 (+.f64 beta (+.f64 alpha 2)) 1)
(fma.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) 3)

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

eval3.2s (15.2%)

Compiler: Compiled 124173 to 88137 computations (29% saved)

prune816.0ms (3.9%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	2338	18	2356
Fresh	0	0	0
Picked	1	0	1
Done	3	1	4
Total	2342	19	2361

Error

Counts

2361 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.12%	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	98.06%	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
	39.08%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	2.23%	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
▶	0.19%	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	47.62%	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	20.69%	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	20.49%	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	48.81%	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
	97.28%	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
▶	42.79%	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	50.75%	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	2.66%	(/.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	2.67%	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (+.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
✓	2.68%	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	10.14%	(/.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	0.16%	(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
	2.46%	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
	0.25%	(.f64 (/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 819 to 587 computations (28.3% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
✓	0.02%	(/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))
✓	0.04%	(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))
✓	0.1%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2)))

Compiler

Compiled 87 to 58 computations (33.3% saved)

series15.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2)))
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2)))
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2)))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2)))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2)))

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

472×	`+-commutative`
458×	`associate-+l+`
436×	`add-sqr-sqrt`
426×	`pow1`
426×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	166
1	415	154
2	6592	154

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

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

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

simplify180.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1682×	`associate-/l*`
1386×	`associate-/r*`
1360×	`+-commutative`
1030×	`associate-+r+`
1014×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	999	25124
1	3631	24704

Stop Event

1×	node limit

Counts

264 → 483

Calls

Call 1

Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(/.f64 1 alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 5 (.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 5 (.f64 2 beta))))))) (.f64 -1 (.f64 (+.f64 beta 3) (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))))))) (.f64 -1 (.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))) (.f64 -1 (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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1
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1
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(/.f64 (+.f64 1 alpha) beta)
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(cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))

Outputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))
(+.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 5 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)))) alpha))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(fma.f64 -1 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha)))
(fma.f64 -1 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 5 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 3)) (/.f64 (+.f64 5 (.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 5 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (/.f64 (+.f64 5 (.f64 beta 2)) (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (.f64 beta 2)) (+.f64 beta 2)))))))) (pow.f64 alpha 3) (fma.f64 -1 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))))
(fma.f64 (+.f64 (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (-.f64 (.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (+.f64 beta 3) 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (/.f64 (+.f64 5 (.f64 beta 2)) (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 5 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 3)) (/.f64 (+.f64 5 (.f64 beta 2)) (+.f64 beta 2)))))))))) (pow.f64 alpha 3) (fma.f64 -1 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 5 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 3)) (/.f64 (+.f64 5 (.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 5 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)))) alpha))))
(/.f64 1 alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 (.f64 beta 2) 4) (.f64 alpha alpha)) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 2 (/.f64 alpha (/.f64 (+.f64 beta 2) alpha))) (/.f64 1 alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 5 (.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 (.f64 beta 2) 4) (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (.f64 (+.f64 5 (.f64 beta 2)) (+.f64 (*.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 2 (/.f64 alpha (/.f64 (+.f64 beta 2) alpha))) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (.f64 (+.f64 5 (.f64 beta 2)) (+.f64 (*.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 5 (.f64 2 beta))))))) (.f64 -1 (.f64 (+.f64 beta 3) (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (+.f64 (.f64 beta 2) 4) (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 (+.f64 5 (.f64 beta 2)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (.f64 (+.f64 5 (.f64 beta 2)) (+.f64 (.f64 beta 2) 4))))) (.f64 (+.f64 (neg.f64 beta) -3) (.f64 (+.f64 beta 2) (+.f64 (.f64 beta 2) 4)))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (.f64 (+.f64 5 (.f64 beta 2)) (+.f64 (*.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 2 (/.f64 alpha (/.f64 (+.f64 beta 2) alpha))) (fma.f64 -1 (/.f64 -1 (/.f64 (pow.f64 alpha 4) (+.f64 (.f64 (+.f64 5 (.f64 beta 2)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (.f64 (+.f64 5 (.f64 beta 2)) (+.f64 (.f64 beta 2) 4))))) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) (+.f64 (.f64 beta 2) 4)))))) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (.f64 (+.f64 5 (.f64 beta 2)) (+.f64 (*.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (-.f64 (/.f64 1 alpha) (/.f64 (neg.f64 (.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))) (*.f64 alpha alpha))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 1 (.f64 alpha alpha))) (neg.f64 (/.f64 -1 (/.f64 (.f64 alpha alpha) (+.f64 (+.f64 (+.f64 beta 2) beta) 3)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (-.f64 (fma.f64 -1 (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (+.f64 (/.f64 1 alpha) (/.f64 (.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (-.f64 1 (neg.f64 (.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))))))))) (/.f64 (neg.f64 (.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))) (*.f64 alpha alpha))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (+.f64 (/.f64 1 alpha) (/.f64 (-.f64 1 (neg.f64 (.f64 -1 (+.f64 (+.f64 (+.f64 beta 2) beta) 3)))) (/.f64 (pow.f64 alpha 3) (.f64 -1 (+.f64 (+.f64 (+.f64 beta 2) beta) 3)))))) (-.f64 (/.f64 1 (.f64 alpha alpha)) (neg.f64 (/.f64 -1 (/.f64 (.f64 alpha alpha) (+.f64 (+.f64 (+.f64 beta 2) beta) 3))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))))))) (.f64 -1 (.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) (-.f64 1 (neg.f64 (.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))))) (neg.f64 (.f64 (.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))) (fma.f64 (.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))) (-.f64 1 (neg.f64 (.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))))) (.f64 (+.f64 (neg.f64 beta) -3) (+.f64 beta 2)))))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (+.f64 (/.f64 1 alpha) (/.f64 (.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (-.f64 1 (neg.f64 (.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))))))))))) (/.f64 (neg.f64 (.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))) (.f64 alpha alpha)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) (-.f64 1 (neg.f64 (.f64 -1 (+.f64 (+.f64 (+.f64 beta 2) beta) 3))))) (neg.f64 (.f64 (.f64 -1 (+.f64 (+.f64 (+.f64 beta 2) beta) 3)) (fma.f64 (.f64 -1 (+.f64 (+.f64 (+.f64 beta 2) beta) 3)) (-.f64 1 (neg.f64 (.f64 -1 (+.f64 (+.f64 (+.f64 beta 2) beta) 3)))) (.f64 (+.f64 (neg.f64 beta) -3) (+.f64 beta 2)))))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (+.f64 (/.f64 1 alpha) (/.f64 (-.f64 1 (neg.f64 (.f64 -1 (+.f64 (+.f64 (+.f64 beta 2) beta) 3)))) (/.f64 (pow.f64 alpha 3) (.f64 -1 (+.f64 (+.f64 (+.f64 beta 2) beta) 3)))))))) (neg.f64 (/.f64 -1 (/.f64 (*.f64 alpha alpha) (+.f64 (+.f64 (+.f64 beta 2) beta) 3)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)) (.f64 beta (+.f64 5 (.f64 2 alpha))))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 (/.f64 1 (+.f64 2 alpha)) (+.f64 3 alpha))))
(+.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 beta (/.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 5 (.f64 2 alpha)))))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 (/.f64 1 (+.f64 2 alpha)) (+.f64 3 alpha))))
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(.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -1 alpha) (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta (+.f64 3 alpha)))))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 1) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 1 beta)))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha))) (.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (/.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha)))))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha))) (.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (*.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 beta)) 1) (.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1)))))
(/.f64 (-.f64 -1 beta) (.f64 (+.f64 2 (+.f64 beta alpha)) (.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (.f64 (/.f64 (+.f64 -1 (neg.f64 alpha)) (+.f64 3 (+.f64 alpha beta))) 1) (.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 3 (+.f64 beta alpha))) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -1 alpha) (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta (+.f64 3 alpha)))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 -1 (neg.f64 beta))) (.f64 (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (-.f64 -1 beta) (.f64 (+.f64 2 (+.f64 beta alpha)) (.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (.f64 (/.f64 (+.f64 -1 (neg.f64 alpha)) (+.f64 3 (+.f64 alpha beta))) (+.f64 -1 (neg.f64 beta))) (.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha)) (+.f64 3 (+.f64 beta alpha))) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))
(/.f64 (-.f64 -1 beta) (/.f64 (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 3 alpha)))))
(/.f64 (.f64 (+.f64 1 beta) (+.f64 alpha 1)) (.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 1 beta)))
(/.f64 (.f64 (+.f64 1 beta) (/.f64 (+.f64 -1 (neg.f64 alpha)) (+.f64 3 (+.f64 alpha beta)))) (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 3 (+.f64 beta alpha))) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.f64 -1 alpha) (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta (+.f64 3 alpha)))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 beta)) (+.f64 alpha 1)) (.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (.f64 (+.f64 2 (+.f64 beta alpha)) (.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) (.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta))))
(/.f64 (-.f64 -1 beta) (.f64 (+.f64 2 (+.f64 beta alpha)) (.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 (+.f64 -1 (neg.f64 alpha)) (+.f64 3 (+.f64 alpha beta)))) (.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha)) (+.f64 3 (+.f64 beta alpha))) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))
(/.f64 (-.f64 -1 beta) (/.f64 (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 3 alpha)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (-.f64 -1 beta) (.f64 (+.f64 2 (+.f64 beta alpha)) (.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (+.f64 1 beta))) (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) (-.f64 -1 beta)) (neg.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (-.f64 -1 beta)) (neg.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 1)
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 1 beta)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (+.f64 1 beta))) (+.f64 2 (+.f64 alpha beta))) 2)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 beta))) (+.f64 2 (+.f64 beta alpha))) 2)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (+.f64 1 beta))) (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))) 3)
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 1 beta)))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 3) 1/3)
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 1 beta)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 1 beta))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 1 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))))
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 1 beta)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 3))
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 1 beta)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 1 beta)))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 1 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))) 1))
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 1 beta)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(/.f64 (+.f64 1 beta) (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 1 beta)))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.71%	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	0	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.0ms	alpha	@	0	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.0ms	alpha	@	-inf	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.0ms	beta	@	inf	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.0ms	alpha	@	inf	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1836×	`add-sqr-sqrt`
1816×	`*-un-lft-identity`
1702×	`add-cube-cbrt`
1684×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	169	19
2	2331	19

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

776×	`associate-*r/`
668×	`associate-+r+`
564×	`associate-*l/`
520×	`associate-+l+`
510×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1811
1	259	1791
2	925	1499
3	4672	1217

Stop Event

1×	node limit

Counts

57 → 51

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))) 1)
(.f64 1 (.f64 (+.f64 1 alpha) (pow.f64 beta -2)))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(.f64 (.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta))
(.f64 (sqrt.f64 (+.f64 1 alpha)) (.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))
(.f64 (cbrt.f64 (.f64 (+.f64 1 alpha) (pow.f64 beta -2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 4))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 4))) (cbrt.f64 (.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (.f64 (cbrt.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
(.f64 (neg.f64 (+.f64 1 alpha)) (/.f64 1 (.f64 beta (neg.f64 beta))))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)))
(.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (.f64 beta beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 beta) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (.f64 beta beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) beta) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))
(.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))))
(pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3) 1/3)
(pow.f64 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)) -1)
(neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (neg.f64 beta))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(exp.f64 (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 beta))))
(exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (.f64 2 (log.f64 beta))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))

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

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.05%	(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
✓	2.62%	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 52 to 30 computations (42.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
0.0ms	beta	@	0	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
0.0ms	alpha	@	-inf	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
0.0ms	beta	@	-inf	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
0.0ms	beta	@	inf	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`associate-/l*`
488×	`associate-+l+`
428×	`+-commutative`
352×	`add-sqr-sqrt`
344×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	336	43
2	5155	43

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

696×	`associate-/l/`
668×	`distribute-lft-in`
604×	`distribute-rgt-in`
488×	`associate-+l-`
486×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	6982
1	1181	6548
2	5764	6504

Stop Event

1×	node limit

Counts

66 → 144

Calls

Call 1

Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(/.f64 1 alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 5 (.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 5 (.f64 2 beta))))))) (.f64 -1 (.f64 (+.f64 beta 3) (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))))))) (.f64 -1 (.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))) (.f64 -1 (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (.f64 (+.f64 5 (.f64 2 alpha)) (+.f64 3 alpha))))) (.f64 -1 (.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)))) (+.f64 5 (.f64 2 alpha))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha)) (pow.f64 beta 3))))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha)))) (pow.f64 beta 4))))))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha))))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha)))) (pow.f64 beta 4))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) (+.f64 1 alpha))
(.f64 (-.f64 -1 alpha) (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 alpha))) -1)
(neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))

Outputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))
(fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(fma.f64 -1 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha)))
(-.f64 (fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))) (.f64 alpha (.f64 alpha (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2))))))
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(/.f64 1 alpha)
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(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(.f64 (.f64 (hypot.f64 1 (sqrt.f64 alpha)) (hypot.f64 1 (sqrt.f64 alpha))) (/.f64 (/.f64 1 (+.f64 (+.f64 beta 3) alpha)) (+.f64 (+.f64 beta 2) alpha)))
(.f64 (/.f64 1 (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) (+.f64 1 alpha))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(.f64 (-.f64 -1 alpha) (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (.f64 (-.f64 -1 alpha) 1) (.f64 (+.f64 (+.f64 beta 2) alpha) (neg.f64 (+.f64 (+.f64 beta 3) alpha))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (fma.f64 beta -1 -3) alpha))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) 2))
(/.f64 (+.f64 1 alpha) (.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) 2) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 beta 3) alpha))) (-.f64 alpha (+.f64 beta 2)))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 3 alpha)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (-.f64 alpha beta) -2))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 3 alpha)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 alpha (-.f64 -2 beta)))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (+.f64 beta 3) alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))))
(.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 2))))
(.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 3))))
(.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha))))
(.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (/.f64 (.f64 (hypot.f64 1 (sqrt.f64 alpha)) (hypot.f64 1 (sqrt.f64 alpha))) (cbrt.f64 (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))) 2)))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) 2)))
(pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 3)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 alpha))) -1)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (.f64 (-.f64 -1 alpha) 1) (.f64 (+.f64 (+.f64 beta 2) alpha) (neg.f64 (+.f64 (+.f64 beta 3) alpha))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (fma.f64 beta -1 -3) alpha))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))) 2))
(fabs.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.01%

(/.f64 (+.f64 beta 1) (+.f64 beta 3))

0.05%

(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))

✓

0.31%

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

Compiler

Compiled 58 to 39 computations (32.8% saved)

series7.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	inf	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`distribute-lft-neg-in`
662×	`distribute-rgt-neg-in`
356×	`distribute-neg-frac`
348×	`add-sqr-sqrt`
338×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	334	62
2	5128	62

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (neg.f64 (/.f64 -1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))))))) (#(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 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))) (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 3))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta beta -9)) (+.f64 beta -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))))))) (#(struct:change #<rule 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beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 3) (+.f64 beta 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))))))

simplify184.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

754×	`associate-r`
670×	`associate-l`
642×	`*-commutative`
630×	`distribute-lft-in`
592×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	494	8890
1	1589	8214
2	7877	8214

Stop Event

1×	node limit

Counts

134 → 220

Calls

Call 1

Inputs
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (.f64 beta (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 3 (+.f64 4 (.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (.f64 beta (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 3 (+.f64 4 (.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (.f64 1/3 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 3 (+.f64 4 (.f64 2 alpha)))) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))
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1/3
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1
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1
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(neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3) (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(exp.f64 (.f64 (-.f64 (log1p.f64 beta) (log.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))) 1)
(*.f64 1 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(*.f64 (+.f64 beta 1) (neg.f64 (/.f64 -1 (+.f64 beta 3))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))))
(.f64 (hypot.f64 1 (sqrt.f64 beta)) (.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 1 (+.f64 beta 3))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta 3))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 beta 3)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))) (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 3))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta 3))))
(*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta beta -9)) (+.f64 beta -3))
(.f64 (/.f64 (+.f64 beta 1) (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (.f64 beta (+.f64 beta -3))))
(*.f64 -1 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2)) (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta 3)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta 3) (+.f64 beta 1)) -1)
(neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))

Outputs
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (.f64 beta (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 3 (+.f64 4 (.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9)) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (.f64 beta (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 3 (+.f64 4 (.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (.f64 1/3 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 3 (+.f64 4 (.f64 2 alpha)))) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/9 (/.f64 (+.f64 (.f64 2 alpha) 7) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (.f64 1/3 (.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 3 (.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9)) (fma.f64 (.f64 (neg.f64 beta) beta) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9))) (/.f64 (*.f64 1/9 (fma.f64 2 alpha 7)) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (.f64 beta (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 3 (+.f64 4 (.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (.f64 1/3 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 3 (+.f64 4 (.f64 2 alpha)))) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 3 (+.f64 4 (.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 3 (+.f64 4 (.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/3 (/.f64 (.f64 (+.f64 7 (.f64 2 alpha)) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2))))))))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/9 (/.f64 (+.f64 (.f64 2 alpha) 7) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (.f64 1/3 (.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 3 (.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))) (neg.f64 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 1/9 (pow.f64 (+.f64 2 alpha) 4)) (fma.f64 -1/3 (/.f64 (fma.f64 1/9 (/.f64 (+.f64 (.f64 2 alpha) 7) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (.f64 1/3 (.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 3 (.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 3 (.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (.f64 1/3 (/.f64 (+.f64 (.f64 2 alpha) 7) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))))))))))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9)) (-.f64 (fma.f64 (.f64 (neg.f64 beta) beta) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9))) (/.f64 (.f64 1/9 (fma.f64 2 alpha 7)) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 1/9 (pow.f64 (+.f64 2 alpha) 4)) (fma.f64 -1/3 (.f64 (/.f64 (fma.f64 1/3 (.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9))) (/.f64 (.f64 1/9 (fma.f64 2 alpha 7)) (pow.f64 (+.f64 2 alpha) 4))) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/3 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9)) (fma.f64 2 alpha 7)))))))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9)) (fma.f64 (.f64 (neg.f64 beta) beta) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9))) (/.f64 (.f64 1/9 (fma.f64 2 alpha 7)) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 1/9 (pow.f64 (+.f64 2 alpha) 4)) (fma.f64 -1/3 (.f64 (/.f64 (fma.f64 1/3 (.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9))) (/.f64 (.f64 1/9 (fma.f64 2 alpha 7)) (pow.f64 (+.f64 2 alpha) 4))) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/3 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9)) (fma.f64 2 alpha 7))))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 6 (.f64 2 alpha)) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (.f64 beta beta)) (neg.f64 (/.f64 (+.f64 (.f64 2 alpha) 6) (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 2 alpha 6) (pow.f64 beta 3)))
(+.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 3 (+.f64 4 (.f64 2 alpha))) (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (.f64 beta beta)) (.f64 -1 (+.f64 (/.f64 (+.f64 (.f64 2 alpha) 6) (pow.f64 beta 3)) (/.f64 (fma.f64 3 (.f64 2 (+.f64 2 alpha)) (fma.f64 -1 (.f64 (+.f64 (.f64 2 alpha) 7) (+.f64 (*.f64 2 alpha) 6)) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4)))))
(-.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (fma.f64 2 alpha 6) (pow.f64 beta 3))) (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (fma.f64 2 alpha 7) (fma.f64 2 alpha 6)))) (pow.f64 beta 4)))
(-.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (fma.f64 2 alpha 6) (pow.f64 beta 3))) (/.f64 (-.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (fma.f64 2 alpha 7) (fma.f64 2 alpha 6))) (pow.f64 beta 4)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 6 (.f64 2 alpha)))) (.f64 -1 (.f64 (+.f64 7 (.f64 2 alpha)) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 alpha)) (+.f64 6 (.f64 2 alpha)))) (.f64 3 (+.f64 4 (.f64 2 alpha))))))))) (pow.f64 beta 5))) (+.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 3 (+.f64 4 (.f64 2 alpha))) (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))))))
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1/3
(+.f64 (*.f64 2/9 beta) 1/3)
(fma.f64 2/9 beta 1/3)
(fma.f64 beta 2/9 1/3)
(+.f64 (.f64 -2/27 (pow.f64 beta 2)) (+.f64 (.f64 2/9 beta) 1/3))
(fma.f64 -2/27 (*.f64 beta beta) (fma.f64 2/9 beta 1/3))
(fma.f64 (*.f64 beta beta) -2/27 (fma.f64 beta 2/9 1/3))
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(fma.f64 -2/27 (.f64 beta beta) (+.f64 (fma.f64 2/9 beta 1/3) (.f64 (pow.f64 beta 3) 2/81)))
(fma.f64 (*.f64 beta beta) -2/27 (fma.f64 beta 2/9 (fma.f64 (pow.f64 beta 3) 2/81 1/3)))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
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(+.f64 (/.f64 6 (*.f64 beta beta)) (-.f64 1 (+.f64 (/.f64 2 beta) (/.f64 18 (pow.f64 beta 3)))))
1
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (cbrt.f64 (.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (cbrt.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 4))))
(.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))))
(pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 1)
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (+.f64 beta (+.f64 alpha 2))) 2)
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 3)
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 3) 1/3)
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(pow.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (/.f64 (+.f64 beta 3) (+.f64 beta 1))) -1)
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))
(neg.f64 (neg.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(neg.f64 (*.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(.f64 (.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (/.f64 (+.f64 beta 1) (+.f64 beta 3)))
(neg.f64 (.f64 (neg.f64 (.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 1))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(neg.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(neg.f64 (.f64 1 (neg.f64 (.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(neg.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))
(.f64 (.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (/.f64 (+.f64 beta 1) (+.f64 beta 3)))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))
(neg.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -3 beta))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 2) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 4)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 3))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3) (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3)))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(exp.f64 (.f64 (-.f64 (log1p.f64 beta) (log.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))) 1)
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 1 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (+.f64 beta 1) (neg.f64 (/.f64 -1 (+.f64 beta 3))))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 1)
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(.f64 (hypot.f64 1 (sqrt.f64 beta)) (.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 1 (+.f64 beta 3))))
(.f64 (hypot.f64 1 (sqrt.f64 beta)) (.f64 (/.f64 1 (+.f64 beta 3)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta 3)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta 3))))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 beta 3)))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))) (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 3))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2))
(*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta beta -9)) (+.f64 beta -3))
(.f64 (/.f64 (+.f64 beta 1) (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (.f64 beta (+.f64 beta -3))))
(.f64 (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 beta 3) 27)) (+.f64 9 (.f64 beta (+.f64 beta -3))))
(/.f64 (*.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta -3) 9)) (+.f64 (pow.f64 beta 3) 27))
(*.f64 -1 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2)) (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta 3)))
(.f64 (hypot.f64 1 (sqrt.f64 beta)) (.f64 (/.f64 1 (+.f64 beta 3)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta 3)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta 3)))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 beta 3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 3))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 1)
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2)
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 3)
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3) 1/3)
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(pow.f64 (/.f64 (+.f64 beta 3) (+.f64 beta 1)) -1)
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 2))
(fabs.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))))
(/.f64 (exp.f64 (log1p.f64 beta)) (+.f64 beta 3))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))))
(/.f64 (exp.f64 (log1p.f64 beta)) (+.f64 beta 3))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.03%	(/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta)))))
✓	0.04%	(.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))
✓	0.13%	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
✓	0.16%	(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta)))

Compiler

Compiled 119 to 77 computations (35.3% saved)

series65.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
57.0ms	beta	@	-inf	(/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta)))))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
0.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

526×	`add-sqr-sqrt`
514×	`pow1`
514×	`*-un-lft-identity`
494×	`add-cbrt-cube`
494×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	220
1	524	182

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (-.f64 -1 beta)) (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))) (/.f64 -2 (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 -1 (-.f64 -1 beta)) alpha) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 alpha)) (.f64 (/.f64 -1 (-.f64 -1 beta)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 alpha (/.f64 -1 (-.f64 -1 beta))) (.f64 (+.f64 beta 2) (/.f64 -1 (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 beta 2) (/.f64 -1 (-.f64 -1 beta))) (.f64 alpha (/.f64 -1 (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify323.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1648×	`associate-r`
1468×	`associate-l`
1404×	`+-commutative`
1060×	`associate-+r+`
798×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1008	27921
1	3566	27283

Stop Event

1×	node limit

Counts

293 → 531

Calls

Call 1

Inputs
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha (.f64 -1 (.f64 beta (+.f64 1 alpha)))))
(+.f64 2 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 beta 2)) (+.f64 alpha (.f64 -1 (*.f64 beta (+.f64 1 alpha))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 1 alpha))) (+.f64 2 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 beta 2)) (+.f64 alpha (.f64 -1 (*.f64 beta (+.f64 1 alpha)))))))
1
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) 1)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))))
1
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) 1)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))))
(/.f64 (+.f64 beta 2) (+.f64 beta 1))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 7 (.f64 2 beta))) (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta)))))))) (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
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(/.f64 (+.f64 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)))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 3)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))))) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))) (+.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)))))))) (pow.f64 beta 5))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 3)))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (.f64 2 (/.f64 (.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 2 (/.f64 (.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 2 (/.f64 (.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(pow.f64 (+.f64 2 alpha) 2)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (-.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (-.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (-.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))
beta
(+.f64 beta (+.f64 3 (*.f64 2 alpha)))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (+.f64 (.f64 2 (/.f64 alpha beta)) (*.f64 3 (/.f64 1 beta))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (.f64 2 alpha) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))))) (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 3 (/.f64 1 beta)))))
beta
(+.f64 beta (.f64 -1 (+.f64 1 (.f64 -2 (+.f64 2 alpha)))))
(-.f64 (+.f64 beta (+.f64 (.f64 -1 (+.f64 1 (.f64 -2 (+.f64 2 alpha)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) (.f64 -1 (/.f64 (+.f64 1 (.f64 -2 (+.f64 2 alpha))) beta)))
(-.f64 (+.f64 beta (+.f64 (.f64 -1 (+.f64 1 (.f64 -2 (+.f64 2 alpha)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 -1 (+.f64 1 (.f64 -2 (+.f64 2 alpha))))) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (.f64 -1 (/.f64 (+.f64 1 (*.f64 -2 (+.f64 2 alpha))) beta)))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (neg.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (-.f64 -1 beta)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 1)
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(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))))))
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(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (pow.f64 (/.f64 -1 (-.f64 -1 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(exp.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
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(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(fma.f64 (/.f64 -1 (-.f64 -1 beta)) 2 (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))))
(fma.f64 2 (/.f64 -1 (-.f64 -1 beta)) (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3))))) 1)
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(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (-.f64 alpha 3) beta))
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(.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 beta (+.f64 alpha 3))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
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(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 1 (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
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(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
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(pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3))) 3) 1/3)
(pow.f64 (.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 alpha 1)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) -1)
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(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3)))))
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(+.f64 (.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 2) (.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta alpha)))
(+.f64 (.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta alpha)) (.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 2))
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(+.f64 (.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 2 alpha)) (.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) beta))
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(+.f64 (.f64 2 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (.f64 (+.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(+.f64 (.f64 (+.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (.f64 2 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 1)
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(pow.f64 (cbrt.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 3) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
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(log1p.f64 (expm1.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))) 1)
(.f64 1 (/.f64 (+.f64 alpha 1) (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 1)
(.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(.f64 (sqrt.f64 (+.f64 alpha 1)) (.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 1 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(.f64 (/.f64 1 (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 alpha 1))
(.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (neg.f64 (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(*.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (/.f64 (+.f64 alpha 1) (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 2 alpha))) (neg.f64 (+.f64 beta (+.f64 2 alpha)))) (-.f64 -1 beta))
(.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) 1) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (+.f64 beta (+.f64 2 alpha))))
(.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (pow.f64 (cbrt.f64 (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 2)) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (cbrt.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 beta (+.f64 2 alpha))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 3) 1/3)
(pow.f64 (/.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 alpha 1)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (neg.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))

Outputs
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha (.f64 -1 (.f64 beta (+.f64 1 alpha)))))
(+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 alpha 1))))
(+.f64 alpha (+.f64 2 (*.f64 beta (-.f64 -1 alpha))))
(+.f64 2 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 beta 2)) (+.f64 alpha (.f64 -1 (*.f64 beta (+.f64 1 alpha))))))
(+.f64 2 (fma.f64 (+.f64 alpha 1) (.f64 beta beta) (+.f64 alpha (neg.f64 (.f64 beta (+.f64 alpha 1))))))
(+.f64 2 (fma.f64 (+.f64 alpha 1) (.f64 beta beta) (+.f64 alpha (.f64 beta (-.f64 -1 alpha)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 1 alpha))) (+.f64 2 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 beta 2)) (+.f64 alpha (.f64 -1 (*.f64 beta (+.f64 1 alpha)))))))
(fma.f64 -1 (.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (+.f64 2 (fma.f64 (+.f64 alpha 1) (.f64 beta beta) (+.f64 alpha (neg.f64 (*.f64 beta (+.f64 alpha 1)))))))
(+.f64 2 (+.f64 (fma.f64 (+.f64 alpha 1) (.f64 beta beta) (+.f64 alpha (.f64 beta (-.f64 -1 alpha)))) (*.f64 (pow.f64 beta 3) (-.f64 -1 alpha))))
1
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1))
(+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta)))
(+.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) 1)))
(+.f64 (/.f64 1 beta) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (-.f64 -1 alpha) (*.f64 beta beta))) 1))
(+.f64 (/.f64 1 beta) (+.f64 1 (+.f64 (/.f64 alpha beta) (/.f64 (-.f64 -1 alpha) (*.f64 beta beta)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))))
(+.f64 (/.f64 1 beta) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (-.f64 -1 alpha) (*.f64 beta beta))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3))))))
(+.f64 (/.f64 alpha beta) (+.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3))) (/.f64 (-.f64 -1 alpha) (*.f64 beta beta)))) (/.f64 1 beta)))
1
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1))
(+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta)))
(+.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) 1)))
(+.f64 (/.f64 1 beta) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (-.f64 -1 alpha) (*.f64 beta beta))) 1))
(+.f64 (/.f64 1 beta) (+.f64 1 (+.f64 (/.f64 alpha beta) (/.f64 (-.f64 -1 alpha) (*.f64 beta beta)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))))
(+.f64 (/.f64 1 beta) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (-.f64 -1 alpha) (*.f64 beta beta))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3))))))
(+.f64 (/.f64 alpha beta) (+.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3))) (/.f64 (-.f64 -1 alpha) (*.f64 beta beta)))) (/.f64 1 beta)))
(/.f64 (+.f64 beta 2) (+.f64 beta 1))
(/.f64 (+.f64 2 beta) (+.f64 beta 1))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 beta (+.f64 beta 1))) (/.f64 2 (+.f64 beta 1)))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 beta (+.f64 beta 1))) (/.f64 2 (+.f64 beta 1)))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 beta (+.f64 beta 1))) (/.f64 2 (+.f64 beta 1)))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 beta (+.f64 beta 1))) (/.f64 2 (+.f64 beta 1)))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 beta (+.f64 beta 1))) (/.f64 2 (+.f64 beta 1)))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 beta (+.f64 beta 1))) (/.f64 2 (+.f64 beta 1)))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 beta (+.f64 beta 1))) (/.f64 2 (+.f64 beta 1)))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 beta (+.f64 beta 1))) (/.f64 2 (+.f64 beta 1)))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 beta (+.f64 beta 1))) (/.f64 2 (+.f64 beta 1)))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(/.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 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)))
(+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2))) (.f64 alpha (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 2 beta) 4)) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))))))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (.f64 alpha (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 2 beta) 4)) (fma.f64 (+.f64 beta 3) (.f64 2 (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))))))) (/.f64 1 (*.f64 (+.f64 beta 3) (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 (/.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 2 beta) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 2 beta) 4)) (fma.f64 (+.f64 beta 3) (.f64 2 (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 beta 1) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 2 beta) 4)) (fma.f64 (+.f64 beta 3) (.f64 2 (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (+.f64 beta 3) (.f64 2 (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 7)) (pow.f64 (+.f64 2 beta) 4))))))))
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(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1))
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(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(/.f64 (*.f64 alpha alpha) (+.f64 beta 1))
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(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(/.f64 (*.f64 alpha alpha) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (.f64 2 (/.f64 (.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (.f64 alpha alpha) (+.f64 beta 1)) (.f64 2 (/.f64 (*.f64 alpha (+.f64 2 beta)) (+.f64 beta 1))))
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(pow.f64 (+.f64 2 alpha) 2)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (-.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))
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(fma.f64 (.f64 beta beta) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (-.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))
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beta
(+.f64 beta (+.f64 3 (*.f64 2 alpha)))
(+.f64 (+.f64 beta 3) (*.f64 2 alpha))
(+.f64 3 (+.f64 (*.f64 2 alpha) beta))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (+.f64 (.f64 2 (/.f64 alpha beta)) (*.f64 3 (/.f64 1 beta))))
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(+.f64 beta (+.f64 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (-.f64 3 (fma.f64 2 (/.f64 alpha beta) (/.f64 3 beta)))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (.f64 2 alpha) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))))) (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 3 (/.f64 1 beta)))))
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beta
(+.f64 beta (.f64 -1 (+.f64 1 (.f64 -2 (+.f64 2 alpha)))))
(+.f64 beta (neg.f64 (+.f64 1 (+.f64 -4 (*.f64 -2 alpha)))))
(+.f64 beta (neg.f64 (+.f64 -3 (*.f64 alpha -2))))
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(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 2 beta) 2))
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(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
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(/.f64 (+.f64 alpha 1) (.f64 (/.f64 -1 (-.f64 -1 beta)) (.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta (+.f64 alpha 3)))))
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(/.f64 (+.f64 alpha 1) (.f64 (/.f64 -1 (-.f64 -1 beta)) (.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta (+.f64 alpha 3)))))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 (+.f64 2 alpha) beta)) (.f64 (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 (+.f64 2 alpha) beta)) (neg.f64 (-.f64 -1 beta))))
(/.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 2 (+.f64 alpha beta)))) (+.f64 beta 1)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta))) 2)))
(pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 1)
(/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
(/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 3)
(/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 3) 1/3)
(/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)))
(pow.f64 (/.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 alpha 1)) -1)
(/.f64 1 (/.f64 (/.f64 -1 (-.f64 -1 beta)) (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))))
(/.f64 1 (/.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)) (+.f64 alpha 1)))
(neg.f64 (/.f64 (+.f64 alpha 1) (neg.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(/.f64 (.f64 (-.f64 -1 alpha) 1) (.f64 (neg.f64 (/.f64 -1 (-.f64 -1 beta))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(/.f64 (-.f64 -1 alpha) (neg.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))))
(/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 3))
(/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 3)))
(/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(/.f64 (exp.f64 (log1p.f64 alpha)) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)))
(exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 1))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(/.f64 (exp.f64 (log1p.f64 alpha)) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta)))

eval1.8s (8.7%)

Compiler: Compiled 76945 to 56301 computations (26.8% saved)

prune600.0ms (2.8%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1661	17	1678
Fresh	7	6	13
Picked	0	1	1
Done	1	4	5
Total	1669	28	1697

Error

Counts

1697 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	53.16%	(pow.f64 beta -2)
	40.64%	(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
	46.72%	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 (.f64 beta (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
✓	7.12%	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	39.08%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
▶	2.23%	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
✓	0.19%	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	47.62%	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	98.01%	(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
▶	20.69%	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	20.49%	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	45.31%	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
	23.7%	(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	11.28%	(/.f64 (+.f64 1 beta) (.f64 (+.f64 2 (+.f64 alpha beta)) (.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1)))))
	42.82%	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
✓	50.75%	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	96.88%	(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
	2.67%	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (+.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
✓	2.68%	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	7.12%	(/.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	68.09%	(/.f64 alpha (*.f64 beta beta))
	45.51%	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	53.44%	(/.f64 1 (*.f64 beta beta))
▶	97.59%	(/.f64 1 alpha)
▶	21.81%	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	0.16%	(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
	48.21%	(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))
▶	48.72%	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))

Compiler

Compiled 855 to 616 computations (28% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (+.f64 beta 2) (+.f64 beta 1))
✓	0.01%	(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))
✓	0.02%	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1))))
✓	0.12%	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 89 to 61 computations (31.5% saved)

series22.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite125.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

438×	`+-commutative`
438×	`add-sqr-sqrt`
428×	`pow1`
428×	`*-un-lft-identity`
410×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	172
1	415	172
2	6597	172

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

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

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

simplify227.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1412×	`associate-r`
1386×	`associate-l`
1172×	`+-commutative`
900×	`associate-*r/`
830×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	915	23711
1	3196	23531

Stop Event

1×	node limit

Counts

253 → 449

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

Outputs
(/.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 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (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)))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha)
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(fma.f64 (+.f64 4 (-.f64 (-.f64 alpha 4) (.f64 2 alpha))) beta (fma.f64 (+.f64 4 (-.f64 (.f64 2 alpha) (+.f64 3 alpha))) (.f64 beta beta) (fma.f64 (pow.f64 beta 3) (+.f64 3 (-.f64 (-.f64 alpha 4) (.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha)))))
beta
(+.f64 beta (+.f64 3 alpha))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 alpha (.f64 2 (/.f64 (+.f64 2 alpha) beta))))) (+.f64 (/.f64 alpha beta) (.f64 3 (/.f64 1 beta))))
(+.f64 beta (-.f64 (+.f64 3 (+.f64 alpha (*.f64 2 (/.f64 (+.f64 2 alpha) beta)))) (+.f64 (/.f64 alpha beta) (/.f64 3 beta))))
(+.f64 beta (+.f64 (+.f64 3 alpha) (-.f64 (*.f64 2 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 alpha beta) (/.f64 3 beta)))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 (/.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 alpha (pow.f64 beta 2))))))) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 3 (/.f64 1 beta)) (.f64 2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))))
(+.f64 beta (-.f64 (+.f64 3 (fma.f64 2 (/.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 3 (.f64 beta beta)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 3 beta) (.f64 2 (/.f64 (+.f64 2 alpha) (.f64 beta beta)))))))
(+.f64 (+.f64 beta 3) (-.f64 (fma.f64 2 (/.f64 (+.f64 2 alpha) beta) (+.f64 (+.f64 alpha (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 3 beta)) (.f64 2 (/.f64 (+.f64 2 alpha) (.f64 beta beta))))))
beta
(-.f64 (+.f64 beta (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2))) 1)
(+.f64 beta (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1))
(-.f64 (+.f64 beta (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 (+.f64 2 alpha)) (.f64 -1 (-.f64 (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)) 1))) beta)) (.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) 1)
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(-.f64 (+.f64 beta (+.f64 (.f64 -2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -2 (+.f64 2 alpha)) (.f64 -1 (-.f64 (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)) 1))) beta)) (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2))))) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1) (pow.f64 beta 2)))))
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(+.f64 (fma.f64 -2 (/.f64 (+.f64 2 alpha) (.f64 beta beta)) (.f64 -1 (+.f64 (fma.f64 -1 (+.f64 2 alpha) -2) (/.f64 (+.f64 -4 (-.f64 (.f64 -2 alpha) (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1)))) beta)))) (-.f64 beta (+.f64 1 (/.f64 (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1)) (.f64 beta beta)))))
2
(+.f64 (*.f64 -1 beta) 2)
(fma.f64 -1 beta 2)
(+.f64 (*.f64 -1 beta) (+.f64 2 (pow.f64 beta 2)))
(fma.f64 -1 beta (+.f64 2 (*.f64 beta beta)))
(+.f64 (*.f64 beta beta) (fma.f64 -1 beta 2))
(+.f64 (.f64 -1 beta) (+.f64 2 (+.f64 (.f64 -1 (pow.f64 beta 3)) (pow.f64 beta 2))))
(+.f64 (fma.f64 -1 beta 2) (fma.f64 -1 (pow.f64 beta 3) (*.f64 beta beta)))
1
(+.f64 (/.f64 1 beta) 1)
(+.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 (/.f64 1 beta) 1) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (/.f64 1 beta) (-.f64 1 (/.f64 1 (*.f64 beta beta))))
(-.f64 (+.f64 1 (/.f64 1 beta)) (/.f64 1 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 1 (pow.f64 beta 3)))) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (/.f64 1 beta) (-.f64 (+.f64 1 (/.f64 1 (pow.f64 beta 3))) (/.f64 1 (*.f64 beta beta))))
1
(+.f64 (/.f64 1 beta) 1)
(+.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 (/.f64 1 beta) 1) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (/.f64 1 beta) (-.f64 1 (/.f64 1 (*.f64 beta beta))))
(-.f64 (+.f64 1 (/.f64 1 beta)) (/.f64 1 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 1 (pow.f64 beta 3)))) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (/.f64 1 beta) (-.f64 (+.f64 1 (/.f64 1 (pow.f64 beta 3))) (/.f64 1 (*.f64 beta beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta)))))) 1)
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 (+.f64 beta alpha)) (.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha)))))
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(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha)))))
(.f64 (+.f64 alpha 1) (.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 2 (+.f64 beta alpha)))))
(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))))
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(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha)))))
(.f64 (.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (+.f64 3 (+.f64 alpha beta))))
(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 2 (+.f64 beta alpha)))))
(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))))
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(/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 (+.f64 beta alpha)) (.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha)))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha)))))
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(/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 (+.f64 beta alpha)) (.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha)))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha)))))
(.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 2 (+.f64 beta alpha)))))
(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))))
(.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))) 2))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 (+.f64 beta alpha)) (.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha)))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 (+.f64 beta alpha)) (.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha)))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) 2) (.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 2 (+.f64 beta alpha)))))
(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))))
(.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))))
(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 2 (+.f64 beta alpha)))))
(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))))
(.f64 (.f64 (-.f64 -1 alpha) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))
(.f64 (-.f64 -1 alpha) (.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 -2 beta))) (/.f64 1 (-.f64 -3 (+.f64 beta alpha)))))
(.f64 (-.f64 -1 alpha) (.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (-.f64 -3 (+.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 alpha beta))))
(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 2 (+.f64 beta alpha)))))
(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))) (/.f64 (.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))))
(.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (sqrt.f64 (+.f64 beta (+.f64 3 alpha))) (+.f64 beta (+.f64 2 alpha)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2)) (/.f64 (.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))) (cbrt.f64 (+.f64 beta (+.f64 3 alpha)))))
(.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2)) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) (+.f64 beta (+.f64 2 alpha)))))
(.f64 (/.f64 (.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(/.f64 (.f64 (.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))) (-.f64 alpha (+.f64 beta 3))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))
(.f64 (/.f64 (+.f64 1 alpha) (/.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 beta (+.f64 2 alpha))))) (-.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 (.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(.f64 (/.f64 (/.f64 (.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 1 alpha)) (+.f64 beta (+.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 3 (+.f64 alpha beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))))
(/.f64 (.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 beta (+.f64 3 alpha))) (hypot.f64 1 (sqrt.f64 alpha))) (.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))
(/.f64 (.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 beta (+.f64 3 alpha))) (hypot.f64 1 (sqrt.f64 alpha))) (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 3 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 beta (+.f64 3 alpha))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 beta (+.f64 3 alpha))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))) (/.f64 (.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))))
(.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (sqrt.f64 (+.f64 beta (+.f64 3 alpha))) (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2)) (/.f64 (.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))) (cbrt.f64 (+.f64 beta (+.f64 3 alpha)))))
(.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2)) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) (+.f64 beta (+.f64 2 alpha)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 3 (+.f64 alpha beta))))
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(/.f64 (-.f64 -2 beta) (-.f64 -1 beta))
(exp.f64 (-.f64 (log.f64 (+.f64 beta 2)) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 beta 2)) (log1p.f64 beta)) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 beta 2)) (log1p.f64 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 beta) (-.f64 -1 beta))

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.38%	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))

Compiler

Compiled 25 to 16 computations (36% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	inf	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
0.0ms	alpha	@	0	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
0.0ms	alpha	@	inf	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
0.0ms	alpha	@	-inf	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
0.0ms	beta	@	-inf	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`associate-/r*`
1234×	`associate-/l*`
922×	`*-commutative`
562×	`swap-sqr`
534×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	197	19
2	2674	19

Stop Event

1×	node limit

Counts

1 → 131

Calls

Call 1

Inputs
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))

Outputs

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

simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

922×	`distribute-lft-in`
906×	`distribute-rgt-in`
620×	`associate-/r*`
614×	`associate-/l/`
538×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	388	5659
1	1073	4987
2	4125	4381

Stop Event

1×	node limit

Counts

155 → 204

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))) 1)
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 1 (/.f64 (*.f64 beta (neg.f64 beta)) (-.f64 -1 alpha)))
(/.f64 1 (.f64 (.f64 beta (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))) (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta (neg.f64 beta)) -1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)
(/.f64 (pow.f64 beta -1/2) (/.f64 beta (/.f64 (+.f64 1 alpha) (sqrt.f64 beta))))
(/.f64 (pow.f64 beta -1/2) (/.f64 (/.f64 beta (+.f64 1 alpha)) (pow.f64 beta -1/2)))
(/.f64 (pow.f64 beta -1/2) (*.f64 (/.f64 beta (+.f64 1 alpha)) (sqrt.f64 beta)))
(/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (*.f64 beta beta) (hypot.f64 1 (sqrt.f64 alpha))))
(/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 beta (*.f64 (/.f64 1 beta) (hypot.f64 1 (sqrt.f64 alpha)))))
(/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (*.f64 beta (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))) (pow.f64 beta -1/2)))
(/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (*.f64 beta (neg.f64 beta)) (neg.f64 (hypot.f64 1 (sqrt.f64 alpha)))))
(/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 beta (/.f64 beta (hypot.f64 1 (sqrt.f64 alpha)))))
(/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (.f64 beta (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))) (sqrt.f64 beta)))
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (*.f64 beta (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))))
(/.f64 (/.f64 1 (cbrt.f64 beta)) (/.f64 (/.f64 beta (+.f64 1 alpha)) (cbrt.f64 (pow.f64 beta -2))))
(/.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (/.f64 beta (+.f64 1 alpha)) (/.f64 1 (cbrt.f64 beta))))
(/.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (*.f64 beta beta) (cbrt.f64 (+.f64 1 alpha))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 beta (*.f64 (/.f64 1 beta) (cbrt.f64 (+.f64 1 alpha)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (*.f64 beta (neg.f64 beta)) (neg.f64 (cbrt.f64 (+.f64 1 alpha)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 beta (/.f64 beta (cbrt.f64 (+.f64 1 alpha)))))
(/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 beta (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2)))
(/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (*.f64 beta (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)))))
(/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (/.f64 beta (cbrt.f64 (/.f64 (+.f64 1 alpha) beta))) (cbrt.f64 (/.f64 (+.f64 1 alpha) beta))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (/.f64 beta (cbrt.f64 (/.f64 (+.f64 1 alpha) beta))))
(/.f64 (pow.f64 beta -2) (/.f64 1 (+.f64 1 alpha)))
(/.f64 (-.f64 1 (.f64 alpha alpha)) (/.f64 (.f64 beta beta) (/.f64 1 (-.f64 1 alpha))))
(/.f64 (-.f64 1 (.f64 alpha alpha)) (.f64 (*.f64 beta beta) (-.f64 1 alpha)))
(/.f64 (-.f64 1 (.f64 alpha alpha)) (.f64 beta (*.f64 beta (-.f64 1 alpha))))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (.f64 beta beta) (/.f64 1 (+.f64 1 (-.f64 (.f64 alpha alpha) alpha)))))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (.f64 (.f64 beta beta) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha))))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (.f64 beta (+.f64 beta (.f64 (-.f64 (*.f64 alpha alpha) alpha) beta))))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (neg.f64 beta)))
(/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 -1 beta)))
(/.f64 (-.f64 -1 alpha) (/.f64 (*.f64 beta (neg.f64 beta)) 1))
(/.f64 (-.f64 -1 alpha) (/.f64 (neg.f64 beta) (/.f64 1 beta)))
(/.f64 (-.f64 -1 alpha) (/.f64 (*.f64 beta beta) -1))
(/.f64 -1 (*.f64 (/.f64 beta (+.f64 1 alpha)) (neg.f64 beta)))
(/.f64 -1 (/.f64 (/.f64 beta (+.f64 1 alpha)) (/.f64 -1 beta)))
(/.f64 -1 (/.f64 (*.f64 beta (neg.f64 beta)) (+.f64 1 alpha)))
(/.f64 -1 (/.f64 (neg.f64 beta) (/.f64 (+.f64 1 alpha) beta)))
(/.f64 -1 (/.f64 (*.f64 beta beta) (-.f64 -1 alpha)))
(/.f64 -1 (*.f64 beta (/.f64 beta (-.f64 -1 alpha))))
(/.f64 (sqrt.f64 (-.f64 -1 alpha)) (/.f64 (*.f64 beta (neg.f64 beta)) (sqrt.f64 (-.f64 -1 alpha))))
(/.f64 (sqrt.f64 (-.f64 -1 alpha)) (.f64 (.f64 beta (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))) (sqrt.f64 (neg.f64 beta))))
(/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta))) (/.f64 (*.f64 beta (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2)) (/.f64 (*.f64 beta (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2)) (/.f64 (/.f64 beta (cbrt.f64 (/.f64 (+.f64 1 alpha) beta))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 -1 alpha)) (cbrt.f64 (-.f64 -1 alpha))) (/.f64 (.f64 beta (neg.f64 beta)) (cbrt.f64 (-.f64 -1 alpha))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2))) (/.f64 (/.f64 beta (cbrt.f64 (/.f64 (+.f64 1 alpha) beta))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2))))
(/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -1/2)) (/.f64 beta (pow.f64 beta -1/2)))
(/.f64 (*.f64 (+.f64 1 alpha) (cbrt.f64 (pow.f64 beta -2))) (/.f64 beta (/.f64 1 (cbrt.f64 beta))))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (neg.f64 beta))
(/.f64 (.f64 (/.f64 1 beta) (-.f64 1 (.f64 alpha alpha))) (*.f64 beta (-.f64 1 alpha)))
(/.f64 (.f64 (/.f64 1 beta) (+.f64 1 (pow.f64 alpha 3))) (+.f64 beta (.f64 (-.f64 (*.f64 alpha alpha) alpha) beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (sqrt.f64 beta))) (sqrt.f64 beta))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 beta (/.f64 (+.f64 1 alpha) (cbrt.f64 beta))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (*.f64 (/.f64 beta (+.f64 1 alpha)) (cbrt.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (*.f64 beta (sqrt.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (*.f64 beta (cbrt.f64 beta)))
(/.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 alpha))) (/.f64 (*.f64 beta (neg.f64 beta)) (hypot.f64 1 (sqrt.f64 alpha))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (/.f64 (*.f64 beta (neg.f64 beta)) (cbrt.f64 (+.f64 1 alpha))))
(/.f64 (neg.f64 (-.f64 1 (.f64 alpha alpha))) (.f64 (*.f64 beta beta) (neg.f64 (-.f64 1 alpha))))
(/.f64 (neg.f64 (-.f64 1 (.f64 alpha alpha))) (.f64 beta (*.f64 (-.f64 1 alpha) (neg.f64 beta))))
(/.f64 (neg.f64 (-.f64 1 (.f64 alpha alpha))) (.f64 (*.f64 beta (neg.f64 beta)) (-.f64 1 alpha)))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 alpha 3))) (.f64 (.f64 beta beta) (+.f64 -1 (neg.f64 (-.f64 (*.f64 alpha alpha) alpha)))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 alpha 3))) (.f64 beta (.f64 (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)) (neg.f64 beta))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 alpha 3))) (.f64 (.f64 beta (neg.f64 beta)) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha))))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (*.f64 beta beta) (-.f64 alpha 1)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (cbrt.f64 beta))) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (/.f64 (pow.f64 beta -1/2) beta) (/.f64 (sqrt.f64 beta) (+.f64 1 alpha)))
(/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 beta (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) beta)))
(/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 beta (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 beta))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 beta (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 beta)) (/.f64 beta (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 beta))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 beta (cbrt.f64 (/.f64 (+.f64 1 alpha) beta))))
(/.f64 (pow.f64 (sqrt.f64 beta) -1) (/.f64 (/.f64 beta (+.f64 1 alpha)) (pow.f64 (sqrt.f64 beta) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 beta) 2) -1) (/.f64 (/.f64 beta (+.f64 1 alpha)) (pow.f64 (cbrt.f64 beta) -1)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 beta) 2))) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (/.f64 (/.f64 1 beta) (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))) (sqrt.f64 (/.f64 beta (+.f64 1 alpha))))
(/.f64 (/.f64 (/.f64 1 beta) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 1 alpha))) (cbrt.f64 (/.f64 beta (+.f64 1 alpha))))) (cbrt.f64 (/.f64 beta (+.f64 1 alpha))))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 beta (-.f64 1 (*.f64 alpha alpha)))) (-.f64 1 alpha))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 (pow.f64 alpha 3)))) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 1 (hypot.f64 1 (sqrt.f64 alpha)))) (/.f64 beta (hypot.f64 1 (sqrt.f64 alpha))))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))) (/.f64 beta (cbrt.f64 (+.f64 1 alpha))))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 (sqrt.f64 beta) (hypot.f64 1 (sqrt.f64 alpha)))) (/.f64 (sqrt.f64 beta) (hypot.f64 1 (sqrt.f64 alpha))))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 1 alpha))))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1)) (/.f64 (cbrt.f64 beta) (+.f64 1 alpha)))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (hypot.f64 1 (sqrt.f64 alpha)))) (/.f64 (cbrt.f64 beta) (hypot.f64 1 (sqrt.f64 alpha))))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 1 alpha))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) 1) (neg.f64 beta))
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (sqrt.f64 beta)) (neg.f64 (sqrt.f64 beta)))
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (neg.f64 (cbrt.f64 beta)))
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) -1) beta)
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (sqrt.f64 (neg.f64 beta))) (sqrt.f64 (neg.f64 beta)))
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (cbrt.f64 (neg.f64 beta)) (cbrt.f64 (neg.f64 beta)))) (cbrt.f64 (neg.f64 beta)))
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (neg.f64 (sqrt.f64 beta))) (sqrt.f64 beta))
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (neg.f64 (pow.f64 (cbrt.f64 beta) 2))) (cbrt.f64 beta))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (sqrt.f64 beta))) 1) (sqrt.f64 beta))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (sqrt.f64 beta))) (cbrt.f64 beta)) (cbrt.f64 (sqrt.f64 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (sqrt.f64 beta))) (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2))) (sqrt.f64 (cbrt.f64 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (sqrt.f64 beta))) (sqrt.f64 (sqrt.f64 beta))) (sqrt.f64 (sqrt.f64 beta)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) 1) (cbrt.f64 beta))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (sqrt.f64 (cbrt.f64 beta))) (sqrt.f64 (cbrt.f64 beta)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (*.f64 (cbrt.f64 (cbrt.f64 beta)) (cbrt.f64 (cbrt.f64 beta)))) (cbrt.f64 (cbrt.f64 beta)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 beta) 2))) (cbrt.f64 (cbrt.f64 beta)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (sqrt.f64 beta))) (cbrt.f64 (sqrt.f64 beta)))
(pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) beta) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3) 1/3)
(neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (neg.f64 beta)))
(neg.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 1 beta)))
(neg.f64 (*.f64 (/.f64 1 beta) (/.f64 (-.f64 -1 alpha) beta)))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) beta))
(neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (neg.f64 beta))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 beta 3)) (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(exp.f64 (+.f64 (log1p.f64 alpha) (*.f64 (log.f64 beta) -2)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.05%	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.35%	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 38 to 25 computations (34.2% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	0	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms	alpha	@	inf	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms	beta	@	inf	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms	beta	@	-inf	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1524×	`distribute-rgt-in`
1490×	`distribute-lft-in`
966×	`associate-/r*`
602×	`associate-/r/`
412×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	237	25
2	3380	25

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (fma.f64 (neg.f64 (+.f64 beta 2)) 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) alpha) (*.f64 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simplify98.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-+r+`
1244×	`associate-+l+`
1050×	`+-commutative`
668×	`fma-def`
662×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	6559
1	1256	6181
2	5785	6169

Stop Event

1×	node limit

Counts

87 → 169

Calls

Call 1

Inputs
(/.f64 1/3 (pow.f64 (+.f64 beta 2) 2))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (pow.f64 (+.f64 beta 2) 4))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 6))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 6))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 6))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 6))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 1/3 (pow.f64 alpha 2))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/3 (pow.f64 (+.f64 4 (.f64 2 beta)) 2))) (pow.f64 alpha 4))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/3 (pow.f64 (+.f64 4 (.f64 2 beta)) 2))) (+.f64 4 (.f64 2 beta)))) (.f64 -1/3 (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/3 (pow.f64 (+.f64 4 (.f64 2 beta)) 2))) (pow.f64 alpha 4))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 3))))))
(/.f64 1/3 (pow.f64 alpha 2))
(+.f64 (.f64 -2/3 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (.f64 -2/3 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -4/3 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 4))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 -2/3 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -4/3 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 4))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 beta 2) (+.f64 (.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -4/3 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (.f64 1/3 (/.f64 1 (pow.f64 alpha 2)))))))
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/3 (/.f64 (.f64 beta (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (.f64 2 alpha)) 2) (pow.f64 (+.f64 2 alpha) 6))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/3 (/.f64 (.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (.f64 2 alpha)) 2) (pow.f64 (+.f64 2 alpha) 6))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 6))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (.f64 2 alpha)) 2) (pow.f64 (+.f64 2 alpha) 6))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))))) (.f64 -1/3 (/.f64 (.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))))
(/.f64 1/3 (pow.f64 beta 2))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 beta 3))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/3 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (pow.f64 beta 4)))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/3 (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (pow.f64 beta 4))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/3 (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (+.f64 4 (.f64 2 alpha)))) (.f64 -1/3 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (*.f64 2 alpha))))) (pow.f64 beta 5))))))
(/.f64 1/3 (pow.f64 beta 2))
(+.f64 (.f64 -2/3 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3))) (.f64 1/3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (.f64 -2/3 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -4/3 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (.f64 -2/3 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -4/3 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -4/3 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (pow.f64 beta 5))) (.f64 2/3 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 5)))))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (fma.f64 (neg.f64 (+.f64 beta 2)) 1 (+.f64 beta 2))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))
(+.f64 (.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) alpha) (.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (+.f64 -2 (*.f64 -1 beta))))
(+.f64 (.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) alpha) (.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))))
(+.f64 (.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) alpha) (.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)))))
(+.f64 (.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) alpha) (.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (neg.f64 (+.f64 beta 2))))
(+.f64 (.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 alpha alpha)) (.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(+.f64 (.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 alpha alpha)))
(+.f64 (.f64 alpha (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))) (.f64 (+.f64 -2 (*.f64 -1 beta)) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))))
(+.f64 (.f64 alpha (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))) (.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))))
(+.f64 (.f64 alpha (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))) (.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2))) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))))
(+.f64 (.f64 alpha (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))) (.f64 (neg.f64 (+.f64 beta 2)) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))))
(+.f64 (.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))) (.f64 (fma.f64 (neg.f64 (+.f64 beta 2)) 1 (+.f64 beta 2)) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))))
(+.f64 (.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))) (.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))))
(+.f64 (.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))) (.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))))
(+.f64 (.f64 (.f64 alpha alpha) (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (.f64 (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)) (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (.f64 (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)) (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (.f64 (.f64 alpha alpha) (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 1)
(*.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1)
(*.f64 1 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (sqrt.f64 1/3) (+.f64 alpha (+.f64 beta 2))) (/.f64 (sqrt.f64 1/3) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (cbrt.f64 (/.f64 1/9 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))))
(*.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (cbrt.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(*.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) 1/3)
(*.f64 -1/3 (/.f64 -1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (/.f64 1/3 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (-.f64 alpha (+.f64 beta 2)))
(.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 -1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) -1/3)
(.f64 (/.f64 1/3 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(.f64 (/.f64 1/3 (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 1/3 (.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 alpha (+.f64 beta 2)))
(.f64 (/.f64 1/3 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(.f64 (/.f64 1/3 (-.f64 (.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))))) (-.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))))
(.f64 (/.f64 1/3 (+.f64 (pow.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 (.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 (.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))) (.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))))))
(.f64 (/.f64 1/3 (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (.f64 (-.f64 alpha (+.f64 beta 2)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(.f64 (/.f64 1/3 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (-.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha))) (-.f64 (+.f64 beta 2) alpha))
(.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (-.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (+.f64 beta -2)))
(.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(.f64 (/.f64 (/.f64 1/3 (.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(.f64 (/.f64 (/.f64 1/3 (.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 1/3 (.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(.f64 (/.f64 (/.f64 1/3 (.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1)
(pow.f64 (/.f64 (sqrt.f64 1/3) (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 3)
(pow.f64 (pow.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) 3) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(cbrt.f64 (pow.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(exp.f64 (log.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))

Outputs
(/.f64 1/3 (pow.f64 (+.f64 beta 2) 2))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (pow.f64 (+.f64 beta 2) 4))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 -1/3 (/.f64 (.f64 (+.f64 4 (.f64 beta 2)) alpha) (pow.f64 (+.f64 beta 2) 4)) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)))
(fma.f64 -1/3 (*.f64 (/.f64 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 4)) alpha) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 6))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 -1/3 (/.f64 (.f64 (+.f64 4 (.f64 beta 2)) alpha) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 -1 (.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 6)) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 4))) (*.f64 alpha alpha)) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 -1/3 (.f64 (/.f64 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 4)) alpha) (-.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 alpha (*.f64 alpha (fma.f64 -1/3 (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) (pow.f64 (+.f64 beta 2) 6)) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 4)))))))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 6))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 6))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 6))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
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(.f64 (/.f64 1/3 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (.f64 (/.f64 1/3 (+.f64 (+.f64 beta 2) alpha)) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(/.f64 (.f64 (/.f64 1/3 (+.f64 beta (+.f64 2 alpha))) (fma.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)) (.f64 alpha alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(.f64 (/.f64 1/3 (-.f64 (.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))))) (-.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))))
(.f64 (/.f64 1/3 (-.f64 (.f64 (.f64 alpha alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))) (*.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 alpha (+.f64 beta 2))))
(.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1/3 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (+.f64 alpha (-.f64 -2 beta)))))
(.f64 (/.f64 1/3 (+.f64 (pow.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 (.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 (.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))) (.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))))))
(.f64 (/.f64 1/3 (+.f64 (pow.f64 (.f64 alpha (+.f64 (+.f64 beta 2) alpha)) 3) (pow.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) alpha)) 3))) (+.f64 (.f64 (.f64 alpha alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) alpha)) (-.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) alpha)) (*.f64 alpha (+.f64 (+.f64 beta 2) alpha))))))
(.f64 (/.f64 1/3 (.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (fma.f64 alpha (.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) alpha) (.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 2)) (+.f64 beta (-.f64 2 alpha)))))
(.f64 (/.f64 1/3 (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (.f64 (-.f64 alpha (+.f64 beta 2)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(.f64 (/.f64 1/3 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (.f64 (-.f64 alpha (+.f64 beta 2)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (fma.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)) (.f64 alpha alpha)) (/.f64 (.f64 (/.f64 1/3 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 alpha (-.f64 -2 beta))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(.f64 (/.f64 1/3 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 1/3 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (.f64 (-.f64 alpha (+.f64 beta 2)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (fma.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)) (.f64 alpha alpha)) (/.f64 (.f64 (/.f64 1/3 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 alpha (-.f64 -2 beta))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (-.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha))) (-.f64 (+.f64 beta 2) alpha))
(.f64 (+.f64 beta (-.f64 2 alpha)) (/.f64 1/3 (.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (.f64 (+.f64 beta (-.f64 2 alpha)) 1/3) (neg.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 alpha (-.f64 -2 beta)))))
(.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (-.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (+.f64 beta -2)))
(.f64 (/.f64 1/3 (.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -4) (+.f64 (+.f64 beta 2) alpha))) (+.f64 alpha (+.f64 beta -2)))
(*.f64 (/.f64 (/.f64 1/3 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -4)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 alpha -2)))
(.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 1/3 (.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (+.f64 beta 2) alpha))) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (-.f64 4 (*.f64 2 (+.f64 beta alpha)))))
(.f64 (/.f64 1/3 (.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (-.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) 4) (*.f64 2 (+.f64 beta alpha))))
(.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (+.f64 beta (-.f64 2 alpha)) (/.f64 1/3 (.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (.f64 (+.f64 beta (-.f64 2 alpha)) 1/3) (neg.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 alpha (-.f64 -2 beta)))))
(.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(.f64 (/.f64 1/3 (.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (+.f64 beta 2) alpha))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (/.f64 1/3 (.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 (neg.f64 (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)) (*.f64 alpha alpha))))
(.f64 (/.f64 (/.f64 1/3 (.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(.f64 (/.f64 1/3 (.f64 (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (+.f64 (+.f64 beta 2) alpha) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))))) (sqrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (/.f64 (/.f64 (/.f64 1/3 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (hypot.f64 (pow.f64 alpha 3/2) (pow.f64 (+.f64 beta 2) 3/2))) (sqrt.f64 (fma.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)) (.f64 alpha alpha))))
(.f64 (/.f64 (/.f64 1/3 (.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 (+.f64 beta 2) alpha) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 (/.f64 1/3 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (+.f64 alpha (-.f64 -2 beta))))
(.f64 (/.f64 (/.f64 1/3 (.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(.f64 (/.f64 1/3 (.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (+.f64 (+.f64 beta 2) alpha) (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))))) (cbrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (/.f64 1/3 (.f64 (.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) (cbrt.f64 (fma.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)) (.f64 alpha alpha))))
(.f64 (/.f64 (/.f64 1/3 (.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 1/3 (.f64 (cbrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 (+.f64 beta 2) alpha) (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 1/3 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (cbrt.f64 (+.f64 alpha (-.f64 -2 beta))))
(pow.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1)
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(pow.f64 (/.f64 (sqrt.f64 1/3) (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 1/3) (+.f64 (+.f64 beta 2) alpha)) 2)
(pow.f64 (/.f64 (sqrt.f64 1/3) (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 3)
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(pow.f64 (pow.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3) 1/3)
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(pow.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) 3) -1)
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4)))
(sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 4)))
(sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 4)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(cbrt.f64 (pow.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3))
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(expm1.f64 (log1p.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(exp.f64 (log.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1))
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(log1p.f64 (expm1.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.02%

(/.f64 (+.f64 1 alpha) (+.f64 alpha 3))

0.05%

(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))

✓

0.33%

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

Compiler

Compiled 58 to 39 computations (32.8% saved)

series11.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`distribute-lft-neg-in`
694×	`distribute-rgt-neg-in`
346×	`add-sqr-sqrt`
344×	`+-commutative`
336×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	333	62
2	5108	62

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

Outputs

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

simplify144.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

796×	`associate-r`
698×	`distribute-lft-in`
674×	`*-commutative`
660×	`associate-l`
622×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	499	8767
1	1689	8231
2	7912	8227

Stop Event

1×	node limit

Counts

135 → 228

Calls

Call 1

Inputs
(/.f64 1/3 (pow.f64 (+.f64 beta 2) 2))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 4))) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 4))) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 7 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 6 (.f64 2 beta)) (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 (.f64 2 beta)) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))))) (pow.f64 alpha 4)))))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 (.f64 2 beta)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 beta)) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (.f64 2 beta)))))))) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 5))) (.f64 -1 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))))) (pow.f64 alpha 4))))))
(/.f64 1 (pow.f64 alpha 2))
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1/3
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1
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(.f64 (/.f64 (+.f64 1 alpha) (+.f64 27 (pow.f64 alpha 3))) (+.f64 9 (.f64 alpha (+.f64 alpha -3))))
(*.f64 -1 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 2)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha 3)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 alpha 3))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha)))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha))) (cbrt.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha))))) (cbrt.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 2))) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha 3) (+.f64 1 alpha)) -1)
(neg.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 alpha 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 3))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))

Outputs
(/.f64 1/3 (pow.f64 (+.f64 beta 2) 2))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)))
(fma.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)) -1/9)) alpha (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 4))) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (fma.f64 -1 (.f64 (.f64 alpha alpha) (fma.f64 1/3 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))))) (.f64 1/9 (/.f64 (+.f64 (*.f64 beta 2) 7) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)) -1/9)) alpha (-.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 alpha (.f64 alpha (fma.f64 1/3 (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)) -1/9))) (/.f64 (.f64 1/9 (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)))))))
(-.f64 (fma.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)) -1/9)) alpha (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2))) (.f64 alpha (.f64 alpha (fma.f64 1/3 (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)) -1/9))) (/.f64 (.f64 1/9 (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4))))))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 4))) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 7 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(fma.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (fma.f64 -1 (.f64 (.f64 alpha alpha) (fma.f64 1/3 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))))) (.f64 1/9 (/.f64 (+.f64 (.f64 beta 2) 7) (pow.f64 (+.f64 beta 2) 4))))) (fma.f64 -1 (.f64 (fma.f64 1/3 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (.f64 beta 2) 7))) (fma.f64 -1/3 (/.f64 (fma.f64 1/3 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))))) (.f64 1/9 (/.f64 (+.f64 (.f64 beta 2) 7) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 3 (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 1/9 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)) -1/9)) alpha (-.f64 (-.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (fma.f64 1/3 (.f64 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)) -1/9)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 7)) (fma.f64 -1/3 (.f64 (/.f64 (fma.f64 1/3 (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)) -1/9))) (/.f64 (.f64 1/9 (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4))) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1/9 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3))) (.f64 alpha (.f64 alpha (fma.f64 1/3 (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)) -1/9))) (/.f64 (*.f64 1/9 (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)))))))
(-.f64 (-.f64 (fma.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)) -1/9)) alpha (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2))) (.f64 alpha (.f64 alpha (fma.f64 1/3 (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)) -1/9))) (/.f64 (.f64 1/9 (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)))))) (.f64 (fma.f64 1/3 (.f64 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)) -1/9)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 7)) (fma.f64 -1/3 (.f64 (/.f64 (fma.f64 1/3 (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)) -1/9))) (/.f64 (*.f64 1/9 (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4))) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1/9 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 6 (.f64 2 beta)) (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 (.f64 beta 2) 6) (pow.f64 alpha 3))))
(-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (fma.f64 beta 2 6) (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 (.f64 2 beta)) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))))) (pow.f64 alpha 4)))))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (.f64 -1 (+.f64 (/.f64 (+.f64 (.f64 beta 2) 6) (pow.f64 alpha 3)) (/.f64 (+.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (.f64 (+.f64 (.f64 beta 2) 7) (+.f64 (*.f64 beta 2) 6)))) (pow.f64 alpha 4)))))
(-.f64 (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 (fma.f64 beta 2 6) (pow.f64 alpha 3))) (/.f64 (-.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (.f64 (fma.f64 beta 2 6) (fma.f64 beta 2 7))) (pow.f64 alpha 4)))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 (.f64 2 beta)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 beta)) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (.f64 2 beta)))))))) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 5))) (.f64 -1 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))))) (pow.f64 alpha 4))))))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (.f64 beta 2) 6) (pow.f64 alpha 3)) (.f64 -1 (+.f64 (/.f64 (fma.f64 3 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (+.f64 (.f64 (+.f64 (.f64 beta 2) 7) (+.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (.f64 (+.f64 (.f64 beta 2) 7) (+.f64 (.f64 beta 2) 6))))) (.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 beta 2) 6))))) (pow.f64 alpha 5)) (/.f64 (+.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (.f64 (+.f64 (.f64 beta 2) 7) (+.f64 (*.f64 beta 2) 6)))) (pow.f64 alpha 4))))))
(+.f64 (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 (fma.f64 beta 2 6) (pow.f64 alpha 3))) (-.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (.f64 (fma.f64 beta 2 6) (fma.f64 beta 2 7)))) (pow.f64 alpha 4)) (/.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) 3 (neg.f64 (fma.f64 (-.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (.f64 (fma.f64 beta 2 6) (fma.f64 beta 2 7))) (fma.f64 beta 2 7) (.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 6))))) (pow.f64 alpha 5))))
(-.f64 (-.f64 (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 (fma.f64 beta 2 6) (pow.f64 alpha 3))) (/.f64 (-.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (.f64 (fma.f64 beta 2 6) (fma.f64 beta 2 7))) (pow.f64 alpha 4))) (/.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) 3 (neg.f64 (fma.f64 (-.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (.f64 (fma.f64 beta 2 6) (fma.f64 beta 2 7))) (fma.f64 beta 2 7) (.f64 (fma.f64 3 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 6))))) (pow.f64 alpha 5)))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (+.f64 beta 2)) 3) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 2 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (pow.f64 alpha 3)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (fma.f64 beta 2 7) (pow.f64 alpha 3))))
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1/3
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1
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(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2) (+.f64 3 alpha)) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (/.f64 (+.f64 alpha 3) (+.f64 1 alpha))) 3) 1/3)
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2) (+.f64 3 alpha)) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(pow.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (/.f64 (+.f64 alpha 3) (+.f64 1 alpha))) -1)
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2) (+.f64 3 alpha)) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(neg.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (/.f64 (+.f64 alpha 3) (+.f64 1 alpha)))))
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2) (+.f64 3 alpha)) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(neg.f64 (*.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2) (/.f64 (neg.f64 (+.f64 1 alpha)) (-.f64 -3 alpha)))
(*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (/.f64 (-.f64 -1 alpha) (-.f64 -3 alpha)))
(neg.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (/.f64 (+.f64 alpha 3) (+.f64 1 alpha)))) 1))
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2) (+.f64 3 alpha)) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(neg.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2) (+.f64 3 alpha)) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(neg.f64 (*.f64 1 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (/.f64 (+.f64 alpha 3) (+.f64 1 alpha))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2) (+.f64 3 alpha)) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(neg.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha))))
(*.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2) (/.f64 (neg.f64 (+.f64 1 alpha)) (-.f64 -3 alpha)))
(*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (/.f64 (-.f64 -1 alpha) (-.f64 -3 alpha)))
(neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(/.f64 (/.f64 (neg.f64 (+.f64 1 alpha)) (-.f64 -3 alpha)) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(/.f64 (-.f64 -1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (-.f64 -3 alpha)))
(neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 -3 alpha))))
(/.f64 (/.f64 (neg.f64 (+.f64 1 alpha)) (-.f64 -3 alpha)) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(/.f64 (-.f64 -1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (-.f64 -3 alpha)))
(neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 3))) (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))
(/.f64 (neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 3 alpha)))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (.f64 (.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 3 alpha)) (-.f64 -2 (+.f64 beta alpha))))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) 2) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 4)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) 2) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2) (+.f64 3 alpha)) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (/.f64 (+.f64 alpha 3) (+.f64 1 alpha))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2) (+.f64 3 alpha)) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (/.f64 (+.f64 alpha 3) (+.f64 1 alpha))) 3))
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2) (+.f64 3 alpha)) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 3) (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) 3)))
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2) (+.f64 3 alpha)) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (/.f64 (+.f64 alpha 3) (+.f64 1 alpha)))))
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2) (+.f64 3 alpha)) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 3 alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 (+.f64 3 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 3 alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 (+.f64 3 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (/.f64 (+.f64 alpha 3) (+.f64 1 alpha)))))
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2) (+.f64 3 alpha)) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))) 1)
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(*.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 alpha 3)))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(*.f64 (+.f64 1 alpha) (neg.f64 (neg.f64 (/.f64 1 (+.f64 alpha 3)))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 1)
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 1 (+.f64 alpha 3))))
(.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (/.f64 1 (+.f64 3 alpha)) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 3 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 2))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 alpha 3))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(*.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(*.f64 (-.f64 -1 alpha) (neg.f64 (/.f64 1 (+.f64 alpha 3))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -3 alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -3 alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 alpha))
(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha))) (cbrt.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha)))) (neg.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -3 alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 alpha))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 3 alpha))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 3 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 3 alpha))) (sqrt.f64 (+.f64 3 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 alpha)) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 3 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 3 alpha))) (pow.f64 (cbrt.f64 (+.f64 3 alpha)) 2))
(*.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha alpha -9)) (+.f64 alpha -3))
(.f64 (/.f64 (+.f64 1 alpha) (+.f64 27 (pow.f64 alpha 3))) (+.f64 9 (.f64 alpha (+.f64 alpha -3))))
(.f64 (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 alpha 3) 27)) (+.f64 9 (.f64 alpha (+.f64 alpha -3))))
(/.f64 (*.f64 (+.f64 1 alpha) (fma.f64 alpha (+.f64 alpha -3) 9)) (+.f64 (pow.f64 alpha 3) 27))
(*.f64 -1 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha)))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -3 alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 alpha))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 2)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha 3)))
(.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (/.f64 1 (+.f64 3 alpha)) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 3 alpha)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 3 alpha)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 3 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha 3)))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 alpha 3))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 3 alpha))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 3 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 3 alpha))) (sqrt.f64 (+.f64 3 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) (pow.f64 (cbrt.f64 (+.f64 3 alpha)) 2))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (pow.f64 (cbrt.f64 (+.f64 3 alpha)) 2))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha)))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -3 alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 alpha))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha))) (cbrt.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha))))) (cbrt.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -3 alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 alpha))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 2))) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 1)
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 2)
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 3)
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 3) 1/3)
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(pow.f64 (/.f64 (+.f64 alpha 3) (+.f64 1 alpha)) -1)
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(neg.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha)))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -3 alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) 2))
(fabs.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 3))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 alpha 3) 3)))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 3))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 alpha))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (+.f64 3 alpha))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 3))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 alpha))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (+.f64 3 alpha))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))

eval1.6s (7.4%)

Compiler: Compiled 46329 to 33706 computations (27.2% saved)

prune544.0ms (2.6%)

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	1249	11	1260
Fresh	4	14	18
Picked	1	0	1
Done	4	5	9
Total	1258	30	1288

Error

Counts

1288 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	53.16%	(pow.f64 beta -2)
	46.72%	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 (.f64 beta (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
✓	7.12%	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	39.08%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	39.55%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
▶	49.51%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	4.42%	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (/.f64 1 (+.f64 beta 1)) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))) (+.f64 alpha (+.f64 beta 3)))
✓	2.23%	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
	47.62%	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	20.49%	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	48.62%	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	45.31%	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
	96.85%	(/.f64 (/.f64 1/3 alpha) alpha)
	50.79%	(/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 -1 beta)))
	23.7%	(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	20.9%	(/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	42.82%	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
▶	2.67%	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (+.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
✓	2.68%	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	20.69%	(/.f64 (.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	50.31%	(/.f64 (.f64 1/2 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
	7.12%	(/.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	68.09%	(/.f64 alpha (*.f64 beta beta))
▶	45.51%	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	53.44%	(/.f64 1 (*.f64 beta beta))
✓	97.59%	(/.f64 1 alpha)
	67.4%	(/.f64 1/3 (*.f64 beta beta))
▶	96.85%	(/.f64 1/3 (*.f64 alpha alpha))
✓	0.16%	(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
	48.21%	(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))

Compiler

Compiled 887 to 651 computations (26.6% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))
✓	0.03%	(*.f64 alpha (+.f64 beta (+.f64 alpha 2)))
	0.09%	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1))
✓	2.62%	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (+.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))

Compiler

Compiled 118 to 73 computations (38.1% saved)

series13.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`add-sqr-sqrt`
530×	`pow1`
530×	`*-un-lft-identity`
506×	`add-exp-log`
506×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	92
1	505	80

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs

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

(*.f64 alpha (+.f64 beta (+.f64 alpha 2)))

Outputs

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

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

simplify112.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1194×	`distribute-lft-in`
1098×	`distribute-rgt-in`
844×	`associate-r`
726×	`associate-l`
704×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	486	14073
1	1937	12993

Stop Event

1×	node limit

Counts

115 → 187

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)))
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(/.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 3 (+.f64 alpha (.f64 -1 (-.f64 (+.f64 (.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha))) 2))))))) (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 3 (+.f64 alpha (.f64 -1 (-.f64 (+.f64 (.f64 -1 alpha) (.f64 -1 (+.f64 2 alpha))) 2))))))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha))) (.f64 (-.f64 (+.f64 (.f64 -1 alpha) (.f64 -1 (+.f64 2 alpha))) 2) (+.f64 3 alpha))))) (.f64 -1 (.f64 (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (+.f64 (.f64 -1 alpha) (.f64 -1 (+.f64 2 alpha))) 2)))) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (+.f64 (.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha))) 2)))))))))) (pow.f64 beta 4))))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (+.f64 (.f64 -1 alpha) (.f64 -1 (+.f64 2 alpha))) 2))))))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha))) (.f64 (-.f64 (+.f64 (.f64 -1 alpha) (.f64 -1 (+.f64 2 alpha))) 2) (+.f64 3 alpha))) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (+.f64 (.f64 -1 alpha) (.f64 -1 (+.f64 2 alpha))) 2)))))))) (pow.f64 beta 5))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1 alpha) (.f64 -1 (+.f64 2 alpha))) 2) (+.f64 3 alpha)) (.f64 -1 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))))) (.f64 -1 (.f64 (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (+.f64 (.f64 -1 alpha) (.f64 -1 (+.f64 2 alpha))) 2)))) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (+.f64 (.f64 -1 alpha) (.f64 -1 (+.f64 2 alpha))) 2)))))))))) (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (+.f64 (.f64 -1 alpha) (.f64 -1 (+.f64 2 alpha))) 2))))) (pow.f64 beta 5)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 3 alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha)))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha))) (.f64 (-.f64 (+.f64 (.f64 -1 alpha) (.f64 -1 (+.f64 2 alpha))) 2) (+.f64 3 alpha))))) (.f64 -1 (.f64 (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (+.f64 (.f64 -1 alpha) (.f64 -1 (+.f64 2 alpha))) 2)))) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (+.f64 (.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha))) 2)))))))))) (pow.f64 beta 4)))))))))
(*.f64 (+.f64 beta 2) alpha)
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) alpha))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) alpha))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) alpha))
(*.f64 (+.f64 2 alpha) alpha)
(+.f64 (.f64 beta alpha) (.f64 (+.f64 2 alpha) alpha))
(+.f64 (.f64 beta alpha) (.f64 (+.f64 2 alpha) alpha))
(+.f64 (.f64 beta alpha) (.f64 (+.f64 2 alpha) alpha))
(*.f64 beta alpha)
(+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 beta alpha))
(+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 beta alpha))
(+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 beta alpha))
(*.f64 beta alpha)
(+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 beta alpha))
(+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 beta alpha))
(+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 beta alpha))
(*.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 1 beta) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))
(.f64 (+.f64 1 beta) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 1)
(.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 2) (.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))
(.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (neg.f64 (+.f64 1 beta))) (/.f64 1 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 2)) (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 (+.f64 beta 2) alpha)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 (+.f64 beta 2) alpha)))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (+.f64 (pow.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 (pow.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) 2) (.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 2)) (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(*.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 2)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))
(pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) -1)
(neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (neg.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) 3) (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))
(exp.f64 (-.f64 (+.f64 (log1p.f64 beta) (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3))))) (log.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(exp.f64 (*.f64 (-.f64 (+.f64 (log1p.f64 beta) (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3))))) (log.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))
(+.f64 (.f64 alpha beta) (.f64 alpha (+.f64 alpha 2)))
(+.f64 (.f64 alpha (+.f64 alpha 2)) (.f64 alpha beta))
(+.f64 (.f64 alpha (+.f64 alpha beta)) (.f64 alpha 2))
(+.f64 (.f64 (+.f64 alpha beta) alpha) (.f64 alpha 2))
(+.f64 (.f64 (.f64 alpha beta) 1) (.f64 (.f64 alpha (+.f64 alpha 2)) 1))
(/.f64 (.f64 alpha (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (.f64 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))))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) alpha) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) alpha) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 (.f64 (.f64 alpha beta) (.f64 alpha beta)) (.f64 (.f64 alpha (+.f64 alpha 2)) (.f64 alpha (+.f64 alpha 2)))) (-.f64 (.f64 alpha beta) (.f64 alpha (+.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha beta) 3) (pow.f64 (.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (.f64 (.f64 alpha beta) (.f64 alpha beta)) (-.f64 (.f64 (.f64 alpha (+.f64 alpha 2)) (.f64 alpha (+.f64 alpha 2))) (.f64 (.f64 alpha beta) (*.f64 alpha (+.f64 alpha 2))))))
(pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (pow.f64 (exp.f64 alpha) (+.f64 alpha (+.f64 beta 2))))
(cbrt.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (.f64 (log.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 alpha beta (*.f64 alpha (+.f64 alpha 2)))
(fma.f64 beta alpha (*.f64 alpha (+.f64 alpha 2)))

Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 alpha (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 alpha (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (fma.f64 (+.f64 beta 3) (.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
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(*.f64 alpha (+.f64 2 (+.f64 beta alpha)))
(/.f64 (.f64 alpha (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (/.f64 (-.f64 beta (+.f64 2 alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))))
(.f64 (/.f64 alpha (-.f64 beta (+.f64 2 alpha))) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))
(/.f64 (.f64 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))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 2 beta)))) alpha))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (fma.f64 beta beta (.f64 (+.f64 2 alpha) (+.f64 2 (-.f64 alpha beta))))) alpha)
(/.f64 (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) alpha) (-.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (/.f64 (-.f64 beta (+.f64 2 alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))))
(.f64 (/.f64 alpha (-.f64 beta (+.f64 2 alpha))) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) alpha) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 2 beta)))) alpha))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (fma.f64 beta beta (.f64 (+.f64 2 alpha) (+.f64 2 (-.f64 alpha beta))))) alpha)
(/.f64 (-.f64 (.f64 (.f64 alpha beta) (.f64 alpha beta)) (.f64 (.f64 alpha (+.f64 alpha 2)) (.f64 alpha (+.f64 alpha 2)))) (-.f64 (.f64 alpha beta) (.f64 alpha (+.f64 alpha 2))))
(/.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 alpha (-.f64 beta (+.f64 2 alpha)))) (.f64 alpha (-.f64 beta (+.f64 2 alpha))))
(/.f64 (.f64 (.f64 alpha alpha) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (.f64 alpha (-.f64 beta (+.f64 2 alpha))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha beta) 3) (pow.f64 (.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (.f64 (.f64 alpha beta) (.f64 alpha beta)) (-.f64 (.f64 (.f64 alpha (+.f64 alpha 2)) (.f64 alpha (+.f64 alpha 2))) (.f64 (.f64 alpha beta) (*.f64 alpha (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (.f64 beta alpha) 3) (pow.f64 (.f64 alpha (+.f64 2 alpha)) 3)) (fma.f64 (.f64 beta alpha) (.f64 beta alpha) (.f64 (.f64 alpha (+.f64 2 alpha)) (-.f64 (.f64 alpha (+.f64 2 alpha)) (.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 (.f64 beta alpha) 3) (pow.f64 (.f64 alpha (+.f64 2 alpha)) 3)) (fma.f64 (.f64 beta alpha) (.f64 beta alpha) (.f64 alpha (.f64 (+.f64 2 alpha) (*.f64 alpha (+.f64 2 (-.f64 alpha beta)))))))
(pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 alpha (+.f64 (+.f64 beta alpha) 2))
(*.f64 alpha (+.f64 2 (+.f64 beta alpha)))
(pow.f64 (sqrt.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (sqrt.f64 (*.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 2)
(pow.f64 (sqrt.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) 2)
(pow.f64 (cbrt.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)
(*.f64 alpha (+.f64 (+.f64 beta alpha) 2))
(*.f64 alpha (+.f64 2 (+.f64 beta alpha)))
(pow.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(*.f64 alpha (+.f64 (+.f64 beta alpha) 2))
(*.f64 alpha (+.f64 2 (+.f64 beta alpha)))
(sqrt.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))
(sqrt.f64 (pow.f64 (*.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))
(sqrt.f64 (pow.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) 2))
(log.f64 (pow.f64 (exp.f64 alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 (+.f64 beta alpha) 2) (log.f64 (exp.f64 alpha)))
(*.f64 (+.f64 2 (+.f64 beta alpha)) (log.f64 (exp.f64 alpha)))
(cbrt.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
(*.f64 alpha (+.f64 (+.f64 beta alpha) 2))
(*.f64 alpha (+.f64 2 (+.f64 beta alpha)))
(expm1.f64 (log1p.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 alpha (+.f64 (+.f64 beta alpha) 2))
(*.f64 alpha (+.f64 2 (+.f64 beta alpha)))
(exp.f64 (log.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 alpha (+.f64 (+.f64 beta alpha) 2))
(*.f64 alpha (+.f64 2 (+.f64 beta alpha)))
(exp.f64 (.f64 (log.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(*.f64 alpha (+.f64 (+.f64 beta alpha) 2))
(*.f64 alpha (+.f64 2 (+.f64 beta alpha)))
(log1p.f64 (expm1.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 alpha (+.f64 (+.f64 beta alpha) 2))
(*.f64 alpha (+.f64 2 (+.f64 beta alpha)))
(fma.f64 alpha beta (*.f64 alpha (+.f64 alpha 2)))
(*.f64 alpha (+.f64 (+.f64 beta alpha) 2))
(*.f64 alpha (+.f64 2 (+.f64 beta alpha)))
(fma.f64 beta alpha (*.f64 alpha (+.f64 alpha 2)))
(*.f64 alpha (+.f64 (+.f64 beta alpha) 2))
(*.f64 alpha (+.f64 2 (+.f64 beta alpha)))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.31%	(/.f64 1/3 (*.f64 alpha alpha))

Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(/.f64 1/3 (*.f64 alpha alpha))
0.0ms	alpha	@	inf	(/.f64 1/3 (*.f64 alpha alpha))
0.0ms	alpha	@	-inf	(/.f64 1/3 (*.f64 alpha alpha))

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`add-sqr-sqrt`
1190×	`*-un-lft-identity`
1120×	`add-cube-cbrt`
1112×	`add-cbrt-cube`
1102×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	129	13
2	1588	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(/.f64 1/3 (*.f64 alpha alpha))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/3 (*.f64 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (*.f64 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/3) alpha) (/.f64 (sqrt.f64 1/3) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 1/9 (pow.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 1/3 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (*.f64 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/3) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (*.f64 alpha alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 (*.f64 alpha alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 alpha alpha) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (pow.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 (*.f64 alpha alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (*.f64 alpha alpha))))))))

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1834×	`associate-/r*`
1508×	`distribute-lft-in`
998×	`associate-+r+`
986×	`associate-+l+`
906×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	485
1	135	485
2	447	485
3	2832	485

Stop Event

1×	node limit

Counts

33 → 26

Calls

Call 1

Inputs
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (pow.f64 alpha 2))
(-.f64 (+.f64 1 (/.f64 1/3 (*.f64 alpha alpha))) 1)
(*.f64 1/3 (pow.f64 alpha -2))
(.f64 (/.f64 1/3 (.f64 alpha alpha)) 1)
(.f64 1 (/.f64 1/3 (.f64 alpha alpha)))
(*.f64 (/.f64 (sqrt.f64 1/3) alpha) (/.f64 (sqrt.f64 1/3) alpha))
(.f64 (cbrt.f64 (/.f64 1/3 (.f64 alpha alpha))) (cbrt.f64 (/.f64 1/9 (pow.f64 alpha 4))))
(.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 1/3 (.f64 alpha alpha))))
(*.f64 (/.f64 1/3 alpha) (/.f64 1 alpha))
(*.f64 (pow.f64 alpha -2) 1/3)
(.f64 -1/3 (/.f64 1 (neg.f64 (.f64 alpha alpha))))
(pow.f64 (/.f64 1/3 (*.f64 alpha alpha)) 1)
(pow.f64 (/.f64 (sqrt.f64 1/3) alpha) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (*.f64 alpha alpha))) 3)
(pow.f64 (pow.f64 (/.f64 1/3 (*.f64 alpha alpha)) 3) 1/3)
(pow.f64 (.f64 (.f64 alpha alpha) 3) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 alpha -2)))
(cbrt.f64 (pow.f64 (/.f64 1/3 (*.f64 alpha alpha)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 (*.f64 alpha alpha))))
(exp.f64 (log.f64 (/.f64 1/3 (*.f64 alpha alpha))))
(log1p.f64 (expm1.f64 (/.f64 1/3 (*.f64 alpha alpha))))

Outputs
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(-.f64 (+.f64 1 (/.f64 1/3 (*.f64 alpha alpha))) 1)
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(*.f64 1/3 (pow.f64 alpha -2))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(.f64 (/.f64 1/3 (.f64 alpha alpha)) 1)
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(.f64 1 (/.f64 1/3 (.f64 alpha alpha)))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(*.f64 (/.f64 (sqrt.f64 1/3) alpha) (/.f64 (sqrt.f64 1/3) alpha))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(.f64 (cbrt.f64 (/.f64 1/3 (.f64 alpha alpha))) (cbrt.f64 (/.f64 1/9 (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1/3 alpha) alpha)) (cbrt.f64 (/.f64 1/9 (pow.f64 alpha 4))))
(.f64 (cbrt.f64 (.f64 1/3 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 1/9 (pow.f64 alpha 4))))
(.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 1/3 (.f64 alpha alpha))))
(.f64 (cbrt.f64 (/.f64 1/3 (.f64 alpha alpha))) (cbrt.f64 (/.f64 1/9 (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1/3 alpha) alpha)) (cbrt.f64 (/.f64 1/9 (pow.f64 alpha 4))))
(.f64 (cbrt.f64 (.f64 1/3 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 1/9 (pow.f64 alpha 4))))
(*.f64 (/.f64 1/3 alpha) (/.f64 1 alpha))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(*.f64 (pow.f64 alpha -2) 1/3)
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(.f64 -1/3 (/.f64 1 (neg.f64 (.f64 alpha alpha))))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(pow.f64 (/.f64 1/3 (*.f64 alpha alpha)) 1)
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(pow.f64 (/.f64 (sqrt.f64 1/3) alpha) 2)
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(pow.f64 (cbrt.f64 (/.f64 1/3 (*.f64 alpha alpha))) 3)
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(pow.f64 (pow.f64 (/.f64 1/3 (*.f64 alpha alpha)) 3) 1/3)
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(pow.f64 (.f64 (.f64 alpha alpha) 3) -1)
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(sqrt.f64 (/.f64 1/9 (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 alpha -2)))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(cbrt.f64 (pow.f64 (/.f64 1/3 (*.f64 alpha alpha)) 3))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(expm1.f64 (log1p.f64 (/.f64 1/3 (*.f64 alpha alpha))))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(exp.f64 (log.f64 (/.f64 1/3 (*.f64 alpha alpha))))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))
(log1p.f64 (expm1.f64 (/.f64 1/3 (*.f64 alpha alpha))))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(*.f64 1/3 (pow.f64 alpha -2))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(*.f64 (+.f64 beta 3) (+.f64 beta 2))
✓	0.31%	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))

Compiler

Compiled 28 to 21 computations (25% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	inf	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
0.0ms	beta	@	0	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
0.0ms	beta	@	-inf	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
0.0ms	beta	@	-inf	(*.f64 (+.f64 beta 3) (+.f64 beta 2))
0.0ms	beta	@	0	(*.f64 (+.f64 beta 3) (+.f64 beta 2))

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

998×	`*-commutative`
792×	`unswap-sqr`
738×	`distribute-lft-in`
736×	`associate-/r*`
684×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	227	44
2	2981	44

Stop Event

1×	node limit

Counts

2 → 218

Calls

Call 1

Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) beta) (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))) (*.f64 -2 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta beta) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (+.f64 4 (*.f64 beta -2)) 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(+.f64 27 (pow.f64 beta 3))) (+.f64 beta -2)) (+.f64 9 (*.f64 beta (+.f64 beta -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 beta -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 beta 3)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (+.f64 beta 3) (+.f64 (*.f64 beta 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta 3) beta (+.f64 (*.f64 beta 2) 6))))))

simplify139.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

680×	`associate-+r+`
662×	`+-commutative`
628×	`associate-/l*`
622×	`*-commutative`
610×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	582	10844
1	1635	9046
2	6306	9046

Stop Event

1×	node limit

Counts

242 → 359

Calls

Call 1

Inputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (.f64 19/216 (pow.f64 beta 2))))
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (+.f64 (.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
6
(+.f64 6 (*.f64 5 beta))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 (.f64 (/.f64 1 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) beta) (.f64 (/.f64 1 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) -2))
(+.f64 (.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)) (.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta -2))))
(+.f64 (.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta -2))) (.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)))
(+.f64 (.f64 beta (/.f64 1 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))) (.f64 -2 (/.f64 1 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))))
(+.f64 (.f64 (.f64 beta beta) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (.f64 (+.f64 4 (.f64 beta -2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))
(+.f64 (.f64 (+.f64 4 (.f64 beta -2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (.f64 (.f64 beta beta) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 1)
(.f64 1 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))
(.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) -1))
(.f64 (+.f64 beta -2) (/.f64 1 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))))
(.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))))
(*.f64 -1 (/.f64 (/.f64 -1 (+.f64 beta 3)) (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 beta 3)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (/.f64 1 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) (+.f64 beta -2))
(.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta (+.f64 beta -2))))
(*.f64 (/.f64 (/.f64 -1 (+.f64 beta 3)) (+.f64 beta 2)) -1)
(*.f64 (pow.f64 (+.f64 beta 2) -1) (/.f64 1 (+.f64 beta 3)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) -1) (pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) -1) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) -1))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 beta beta -9)) (+.f64 beta -3))
(.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (.f64 beta (+.f64 beta -3))))
(.f64 (/.f64 1 (.f64 (+.f64 beta 2) (fma.f64 beta beta -9))) (+.f64 beta -3))
(.f64 (/.f64 1 (.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(.f64 (/.f64 1 (-.f64 (.f64 beta (.f64 beta (pow.f64 (+.f64 beta 3) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) 4))) (*.f64 (+.f64 beta 3) (+.f64 beta -2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 beta (+.f64 beta 3)) 3) (pow.f64 (+.f64 (.f64 beta 2) 6) 3))) (+.f64 (.f64 beta (.f64 beta (pow.f64 (+.f64 beta 3) 2))) (.f64 (+.f64 (.f64 beta 2) 6) (-.f64 (+.f64 (.f64 beta 2) 6) (*.f64 beta (+.f64 beta 3))))))
(.f64 (/.f64 1 (.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4))) (*.f64 (+.f64 beta -3) (+.f64 beta -2)))
(.f64 (/.f64 1 (.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3)))) (.f64 (+.f64 beta -3) (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 1 (.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3)))) (.f64 (+.f64 beta -2) (+.f64 9 (.f64 beta (+.f64 beta -3)))))
(.f64 (/.f64 1 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (.f64 (+.f64 9 (.f64 beta (+.f64 beta -3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 4 (.f64 beta beta))) (-.f64 2 beta))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (neg.f64 (fma.f64 beta beta -4))) (neg.f64 (+.f64 beta -2)))
(.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 -8 (neg.f64 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 9 (.f64 beta beta))) (-.f64 3 beta))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 (fma.f64 beta beta -9))) (neg.f64 (+.f64 beta -3)))
(.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (neg.f64 (pow.f64 beta 3)) -27)) (neg.f64 (+.f64 9 (.f64 beta (+.f64 beta -3)))))
(.f64 (/.f64 (/.f64 1 (.f64 (+.f64 beta 3) (sqrt.f64 (+.f64 beta 2)))) (sqrt.f64 (+.f64 8 (pow.f64 beta 3)))) (sqrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 (/.f64 1 (.f64 (+.f64 beta 3) (sqrt.f64 (+.f64 beta 2)))) (sqrt.f64 (fma.f64 beta beta -4))) (sqrt.f64 (+.f64 beta -2)))
(.f64 (/.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) (cbrt.f64 (+.f64 8 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) (cbrt.f64 (fma.f64 beta beta -4))) (cbrt.f64 (+.f64 beta -2)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)))) (.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)))))
(.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (sqrt.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -2))) (cbrt.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -2))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))))
(pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1)
(pow.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3)) 1/3)
(neg.f64 (/.f64 (/.f64 -1 (+.f64 beta 3)) (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (.f64 beta beta) (+.f64 (.f64 beta 3) (+.f64 (*.f64 beta 2) 6)))
(+.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (.f64 beta 2) 6))
(+.f64 (+.f64 (.f64 beta 2) 6) (.f64 beta (+.f64 beta 3)))
(+.f64 (.f64 beta 3) (+.f64 (.f64 beta beta) (+.f64 (*.f64 beta 2) 6)))
(+.f64 (.f64 beta 2) (+.f64 6 (.f64 beta (+.f64 beta 3))))
(+.f64 (.f64 beta (+.f64 beta 2)) (+.f64 (.f64 beta 3) 6))
(+.f64 6 (+.f64 (.f64 beta 2) (.f64 beta (+.f64 beta 3))))
(+.f64 (+.f64 (.f64 beta 3) 6) (.f64 beta (+.f64 beta 2)))
(+.f64 (+.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta 2)) 6)
(+.f64 (+.f64 (.f64 beta (+.f64 beta 3)) 6) (.f64 beta 2))
(+.f64 (+.f64 (+.f64 (.f64 beta 2) 6) (.f64 beta beta)) (*.f64 beta 3))
(+.f64 (+.f64 (+.f64 (.f64 beta 2) 6) (.f64 beta 3)) (*.f64 beta beta))
(+.f64 (.f64 1 (.f64 beta (+.f64 beta 2))) (.f64 1 (+.f64 (.f64 beta 3) 6)))
(+.f64 (.f64 1 (+.f64 (.f64 beta 3) 6)) (.f64 1 (.f64 beta (+.f64 beta 2))))
(+.f64 (.f64 (.f64 beta (+.f64 beta 2)) 1) (.f64 (+.f64 (.f64 beta 3) 6) 1))
(+.f64 (.f64 (+.f64 (.f64 beta 3) 6) 1) (.f64 (.f64 beta (+.f64 beta 2)) 1))
(+.f64 (neg.f64 (.f64 beta (neg.f64 (+.f64 beta 3)))) (neg.f64 (+.f64 (.f64 beta -2) -6)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1)
(/.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 beta 3) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) -1))
(/.f64 (+.f64 beta 3) (/.f64 -1 (+.f64 (neg.f64 beta) -2)))
(/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3)))
(/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)
(/.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 beta 3) (sqrt.f64 (+.f64 beta 2)))))
(/.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) (sqrt.f64 (+.f64 beta 3))))
(/.f64 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))
(/.f64 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 -1 (neg.f64 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (sqrt.f64 (+.f64 beta 3)) (/.f64 1 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta 3)))))
(/.f64 (sqrt.f64 (+.f64 beta 3)) (/.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) (sqrt.f64 (+.f64 beta 2))))
(/.f64 (sqrt.f64 (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3))))
(/.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (/.f64 (/.f64 1 (+.f64 beta 3)) (cbrt.f64 (+.f64 beta 2))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (/.f64 1 (*.f64 (+.f64 beta 3) (cbrt.f64 (+.f64 beta 2)))))
(/.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)))
(/.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (cbrt.f64 (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (/.f64 (/.f64 1 (+.f64 beta 2)) (cbrt.f64 (+.f64 beta 3))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (/.f64 1 (*.f64 (+.f64 beta 2) (cbrt.f64 (+.f64 beta 3)))))
(/.f64 (fma.f64 beta beta -9) (/.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 beta -3))))
(/.f64 (fma.f64 beta beta -9) (/.f64 (+.f64 beta -3) (+.f64 beta 2)))
(/.f64 (fma.f64 beta beta -9) (/.f64 (*.f64 (+.f64 beta -3) (+.f64 beta -2)) (fma.f64 beta beta -4)))
(/.f64 (fma.f64 beta beta -9) (/.f64 (.f64 (+.f64 beta -3) (+.f64 4 (.f64 beta (+.f64 beta -2)))) (+.f64 8 (pow.f64 beta 3))))
(/.f64 (fma.f64 beta beta -9) (*.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta -3)))
(/.f64 (fma.f64 beta beta -4) (/.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta -2))))
(/.f64 (fma.f64 beta beta -4) (/.f64 (+.f64 beta -2) (+.f64 beta 3)))
(/.f64 (fma.f64 beta beta -4) (/.f64 (*.f64 (+.f64 beta -3) (+.f64 beta -2)) (fma.f64 beta beta -9)))
(/.f64 (fma.f64 beta beta -4) (/.f64 (.f64 (+.f64 beta -2) (+.f64 9 (.f64 beta (+.f64 beta -3)))) (+.f64 27 (pow.f64 beta 3))))
(/.f64 (fma.f64 beta beta -4) (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta -2)))
(/.f64 (+.f64 27 (pow.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 9 (*.f64 beta (+.f64 beta -3))))))
(/.f64 (+.f64 27 (pow.f64 beta 3)) (/.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3))) (+.f64 beta 2)))
(/.f64 (+.f64 27 (pow.f64 beta 3)) (/.f64 (.f64 (+.f64 beta -2) (+.f64 9 (.f64 beta (+.f64 beta -3)))) (fma.f64 beta beta -4)))
(/.f64 (+.f64 27 (pow.f64 beta 3)) (/.f64 (.f64 (+.f64 9 (.f64 beta (+.f64 beta -3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 8 (pow.f64 beta 3))))
(/.f64 (+.f64 27 (pow.f64 beta 3)) (.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 9 (.f64 beta (+.f64 beta -3)))))
(/.f64 (+.f64 8 (pow.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 4 (*.f64 beta (+.f64 beta -2))))))
(/.f64 (+.f64 8 (pow.f64 beta 3)) (/.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 beta 3)))
(/.f64 (+.f64 8 (pow.f64 beta 3)) (/.f64 (.f64 (+.f64 beta -3) (+.f64 4 (.f64 beta (+.f64 beta -2)))) (fma.f64 beta beta -9)))
(/.f64 (+.f64 8 (pow.f64 beta 3)) (/.f64 (.f64 (+.f64 9 (.f64 beta (+.f64 beta -3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 27 (pow.f64 beta 3))))
(/.f64 (+.f64 8 (pow.f64 beta 3)) (.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(/.f64 -1 (/.f64 (/.f64 -1 (+.f64 beta 3)) (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 3))) -1)
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (/.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (/.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2))))
(/.f64 (sqrt.f64 (.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 3)))) (/.f64 -1 (sqrt.f64 (.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 3))))))
(/.f64 (sqrt.f64 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2))) (/.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 3)))) (cbrt.f64 (.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 3))))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 beta 3) (sqrt.f64 (+.f64 beta 2))) (/.f64 1 (sqrt.f64 (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta 3))) (/.f64 1 (sqrt.f64 (+.f64 beta 3))))
(/.f64 (*.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta 3))))
(/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (+.f64 beta -2))
(/.f64 (.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) (+.f64 beta -3))
(/.f64 (.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (.f64 beta (+.f64 beta -3))))
(/.f64 (neg.f64 (+.f64 beta 3)) (/.f64 -1 (+.f64 beta 2)))
(/.f64 (+.f64 (neg.f64 beta) -2) (/.f64 -1 (+.f64 beta 3)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 -1 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (/.f64 -1 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (-.f64 (.f64 beta (.f64 beta (pow.f64 (+.f64 beta 3) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) 4)) (.f64 (+.f64 beta 3) (+.f64 beta -2)))
(/.f64 (-.f64 4 (.f64 beta beta)) (.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 2 beta)))
(/.f64 (-.f64 9 (.f64 beta beta)) (.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 3 beta)))
(/.f64 (+.f64 (pow.f64 (.f64 beta (+.f64 beta 3)) 3) (pow.f64 (+.f64 (.f64 beta 2) 6) 3)) (+.f64 (.f64 beta (.f64 beta (pow.f64 (+.f64 beta 3) 2))) (.f64 (+.f64 (.f64 beta 2) 6) (-.f64 (+.f64 (.f64 beta 2) 6) (.f64 beta (+.f64 beta 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 beta (+.f64 beta 3)) 3) (pow.f64 (+.f64 (.f64 beta 2) 6) 3)) (.f64 1 (+.f64 (.f64 beta (.f64 beta (pow.f64 (+.f64 beta 3) 2))) (.f64 (+.f64 (.f64 beta 2) 6) (-.f64 (+.f64 (.f64 beta 2) 6) (*.f64 beta (+.f64 beta 3)))))))
(/.f64 (.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (.f64 (+.f64 beta -3) (+.f64 beta -2)))
(/.f64 (.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (.f64 1 (*.f64 (+.f64 beta -3) (+.f64 beta -2))))
(/.f64 (.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (.f64 (+.f64 beta -2) (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(/.f64 (.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (.f64 1 (.f64 (+.f64 beta -2) (+.f64 9 (.f64 beta (+.f64 beta -3))))))
(/.f64 (.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (.f64 (+.f64 beta -3) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (.f64 1 (.f64 (+.f64 beta -3) (+.f64 4 (.f64 beta (+.f64 beta -2))))))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 (+.f64 9 (.f64 beta (+.f64 beta -3))) (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 1 (.f64 (+.f64 9 (.f64 beta (+.f64 beta -3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))))
(/.f64 (neg.f64 (fma.f64 beta beta -9)) (*.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 (+.f64 beta -3))))
(/.f64 (+.f64 (neg.f64 (pow.f64 beta 3)) -27) (.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 (+.f64 9 (.f64 beta (+.f64 beta -3))))))
(/.f64 (neg.f64 (fma.f64 beta beta -4)) (*.f64 (/.f64 1 (+.f64 beta 3)) (neg.f64 (+.f64 beta -2))))
(/.f64 (+.f64 -8 (neg.f64 (pow.f64 beta 3))) (.f64 (/.f64 1 (+.f64 beta 3)) (neg.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))))))
(/.f64 (/.f64 1 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)) (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -2))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (/.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))) (+.f64 beta -2))
(/.f64 (/.f64 1 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) -1)) (/.f64 1 (+.f64 beta 3)))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) -1)) (pow.f64 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) -1)) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) -1))
(/.f64 (/.f64 (+.f64 beta 2) 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 beta 2) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 beta 2) (/.f64 1 (fma.f64 beta beta -9))) (+.f64 beta -3))
(/.f64 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 27 (pow.f64 beta 3)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))
(/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (sqrt.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)))) (sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) 1) (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (sqrt.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (cbrt.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) 1) (+.f64 beta -2))
(/.f64 (/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (sqrt.f64 (+.f64 beta -2))) (sqrt.f64 (+.f64 beta -2)))
(/.f64 (/.f64 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (.f64 (cbrt.f64 (+.f64 beta -2)) (cbrt.f64 (+.f64 beta -2)))) (cbrt.f64 (+.f64 beta -2)))
(/.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) 1) (+.f64 4 (.f64 beta (+.f64 beta -2))))
(/.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (sqrt.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))))) (sqrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (.f64 (cbrt.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))) (cbrt.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))) (cbrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) 1) (+.f64 beta -3))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) (sqrt.f64 (+.f64 beta -3))) (sqrt.f64 (+.f64 beta -3)))
(/.f64 (/.f64 (.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) (.f64 (cbrt.f64 (+.f64 beta -3)) (cbrt.f64 (+.f64 beta -3)))) (cbrt.f64 (+.f64 beta -3)))
(/.f64 (/.f64 (.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) 1) (+.f64 9 (.f64 beta (+.f64 beta -3))))
(/.f64 (/.f64 (.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (sqrt.f64 (+.f64 9 (.f64 beta (+.f64 beta -3))))) (sqrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(/.f64 (/.f64 (.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (.f64 (cbrt.f64 (+.f64 9 (.f64 beta (+.f64 beta -3)))) (cbrt.f64 (+.f64 9 (.f64 beta (+.f64 beta -3)))))) (cbrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (+.f64 beta -3)) (+.f64 beta -2))
(/.f64 (/.f64 (.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (+.f64 beta -3)) (+.f64 4 (.f64 beta (+.f64 beta -2))))
(/.f64 (/.f64 (.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (.f64 beta (+.f64 beta -3)))) (+.f64 beta -2))
(/.f64 (/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 9 (.f64 beta (+.f64 beta -3)))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (+.f64 beta -2)) (+.f64 beta -3))
(/.f64 (/.f64 (.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (+.f64 beta -2)) (+.f64 9 (.f64 beta (+.f64 beta -3))))
(/.f64 (/.f64 (.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta (+.f64 beta -2)))) (+.f64 beta -3))
(/.f64 (/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta (+.f64 beta -2)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) 1/3)
(neg.f64 (*.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 3))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 3)) (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(fma.f64 beta (+.f64 beta 3) (+.f64 (*.f64 beta 2) 6))
(fma.f64 (+.f64 beta 3) beta (+.f64 (*.f64 beta 2) 6))

Outputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(fma.f64 -5/36 beta 1/6)
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (.f64 19/216 (pow.f64 beta 2))))
(fma.f64 -5/36 beta (+.f64 1/6 (.f64 19/216 (.f64 beta beta))))
(fma.f64 -5/36 beta (fma.f64 19/216 (*.f64 beta beta) 1/6))
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (+.f64 (.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2)))))
(+.f64 (fma.f64 -5/36 beta 1/6) (fma.f64 -65/1296 (pow.f64 beta 3) (.f64 19/216 (.f64 beta beta))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 5 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 -5 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 19 (pow.f64 beta 4))) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 65 (pow.f64 beta 5)))) (/.f64 -5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 65 (pow.f64 beta 5))) (/.f64 -5 (pow.f64 beta 3))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
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(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) 1/3)
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(neg.f64 (*.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 3))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2))
(fabs.f64 (fma.f64 beta (+.f64 beta 5) 6))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 3)) (+.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 3) 3)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(exp.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(fma.f64 beta (+.f64 beta 3) (+.f64 (*.f64 beta 2) 6))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(fma.f64 (+.f64 beta 3) beta (+.f64 (*.f64 beta 2) 6))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)

localize24.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha)))
✓	0.05%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 51 to 37 computations (27.5% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	beta	@	inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1794×	`associate-/r/`
1474×	`associate-/l/`
354×	`add-sqr-sqrt`
344×	`pow1`
344×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	347	60
2	4970	60

Stop Event

1×	node limit

Counts

2 → 152

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha)))

Outputs

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simplify109.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1044×	`distribute-lft-in`
1016×	`*-commutative`
1002×	`distribute-rgt-in`
944×	`associate-r`
908×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	612	12712
1	2132	12312

Stop Event

1×	node limit

Counts

188 → 357

Calls

Call 1

Inputs
(/.f64 1/4 (+.f64 beta 3))
(+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha))
(+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha) (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))) (.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))))))
(+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) (+.f64 beta 3))) (.f64 -1/4 (/.f64 (.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))) (.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))) (pow.f64 alpha 3))) (+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha) (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))) (.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)))))))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (.f64 1/2 (/.f64 1 alpha))) (.f64 1/4 (/.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (pow.f64 alpha 2))))
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(/.f64 1/2 alpha)
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(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))
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(/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 4 (.f64 2 alpha))))
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(/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 4 (.f64 2 alpha))))
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1/4
(+.f64 (*.f64 1/8 alpha) 1/4)
(+.f64 (.f64 1/8 alpha) (+.f64 1/4 (.f64 -1/16 (pow.f64 alpha 2))))
(+.f64 (.f64 1/8 alpha) (+.f64 1/4 (+.f64 (.f64 1/32 (pow.f64 alpha 3)) (*.f64 -1/16 (pow.f64 alpha 2)))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
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(.f64 (/.f64 (+.f64 alpha 1) (.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))) 1)
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(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)))
(*.f64 (/.f64 (-.f64 -1 alpha) (fma.f64 alpha 2 4)) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (+.f64 alpha 1) (.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (fma.f64 alpha 2 4))))
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(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (fma.f64 alpha 2 4)))
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(.f64 (/.f64 1 (.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))) (+.f64 alpha 1))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (fma.f64 alpha 2 4)))
(.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (fma.f64 alpha 2 4))))
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(.f64 (/.f64 (.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) (+.f64 64 (.f64 8 (pow.f64 alpha 3)))) (+.f64 16 (.f64 (.f64 alpha 2) (-.f64 (.f64 alpha 2) 4))))
(.f64 (/.f64 (.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) (neg.f64 (-.f64 16 (.f64 4 (.f64 alpha alpha))))) (neg.f64 (+.f64 4 (*.f64 -2 alpha))))
(.f64 (/.f64 (.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) (neg.f64 (+.f64 64 (.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 16 (.f64 (.f64 alpha 2) (-.f64 (.f64 alpha 2) 4)))))
(.f64 (/.f64 (.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) (-.f64 (.f64 4 (.f64 alpha alpha)) 16)) (-.f64 (*.f64 alpha 2) 4))
(.f64 (/.f64 (.f64 (-.f64 -1 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) (neg.f64 (-.f64 16 (.f64 4 (.f64 alpha alpha))))) (+.f64 4 (*.f64 -2 alpha)))
(.f64 (/.f64 (.f64 (-.f64 -1 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) (neg.f64 (+.f64 64 (.f64 8 (pow.f64 alpha 3))))) (+.f64 16 (.f64 (.f64 alpha 2) (-.f64 (.f64 alpha 2) 4))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (+.f64 4 (.f64 -2 alpha)) (-.f64 16 (.f64 4 (.f64 alpha alpha)))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (+.f64 16 (.f64 (.f64 alpha 2) (-.f64 (.f64 alpha 2) 4))) (+.f64 64 (*.f64 8 (pow.f64 alpha 3)))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (-.f64 16 (.f64 4 (.f64 alpha alpha)))) (+.f64 4 (.f64 -2 alpha)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 64 (.f64 8 (pow.f64 alpha 3)))) (+.f64 16 (.f64 (.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (neg.f64 (-.f64 16 (.f64 4 (.f64 alpha alpha))))) (neg.f64 (+.f64 4 (.f64 -2 alpha))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (neg.f64 (+.f64 64 (.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 16 (.f64 (.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4)))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (-.f64 (.f64 4 (.f64 alpha alpha)) 16)) (-.f64 (.f64 alpha 2) 4))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (fma.f64 alpha 2 4))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (fma.f64 alpha 2 4))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (fma.f64 alpha 2 4))) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (fma.f64 alpha 2 4))) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (fma.f64 alpha 2 4)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 -3 (+.f64 alpha beta)) (fma.f64 alpha 2 4))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)))) 1)
(*.f64 1 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)))
(*.f64 (+.f64 alpha 1) (/.f64 1 (fma.f64 alpha 2 4)))
(.f64 (+.f64 alpha 1) (/.f64 (+.f64 4 (.f64 -2 alpha)) (-.f64 16 (.f64 4 (.f64 alpha alpha)))))
(.f64 (+.f64 alpha 1) (/.f64 (+.f64 16 (.f64 (.f64 alpha 2) (-.f64 (.f64 alpha 2) 4))) (+.f64 64 (*.f64 8 (pow.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) 1)
(.f64 (sqrt.f64 (+.f64 alpha 1)) (.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 1 (fma.f64 alpha 2 4))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 (fma.f64 alpha 2 4))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))))
(*.f64 (/.f64 1 (fma.f64 alpha 2 4)) (+.f64 alpha 1))
(.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -4 (.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 alpha 2 4))) (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 4))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 4)) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (fma.f64 alpha 2 4))))
(.f64 (/.f64 1 (-.f64 16 (.f64 4 (.f64 alpha alpha)))) (.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 -2 alpha))))
(.f64 (/.f64 1 (+.f64 64 (.f64 8 (pow.f64 alpha 3)))) (.f64 (+.f64 alpha 1) (+.f64 16 (.f64 (.f64 alpha 2) (-.f64 (.f64 alpha 2) 4)))))
(.f64 (/.f64 (+.f64 alpha 1) (-.f64 16 (.f64 4 (.f64 alpha alpha)))) (+.f64 4 (.f64 -2 alpha)))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 64 (.f64 8 (pow.f64 alpha 3)))) (+.f64 16 (.f64 (.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4))))
(.f64 (/.f64 1 (-.f64 -4 (.f64 alpha 2))) (-.f64 -1 alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (fma.f64 alpha 2 4)) (sqrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) 1) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (fma.f64 alpha 2 4)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 4)) 2)) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (cbrt.f64 (fma.f64 alpha 2 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (fma.f64 alpha 2 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 (fma.f64 alpha 2 4))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 (fma.f64 alpha 2 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 4)) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))))
(.f64 (/.f64 (+.f64 alpha 1) (neg.f64 (-.f64 16 (.f64 4 (.f64 alpha alpha))))) (neg.f64 (+.f64 4 (.f64 -2 alpha))))
(.f64 (/.f64 (+.f64 alpha 1) (neg.f64 (+.f64 64 (.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 16 (.f64 (.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4)))))
(*.f64 (/.f64 1 (/.f64 (fma.f64 alpha 2 4) (sqrt.f64 (+.f64 alpha 1)))) (sqrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 1 (/.f64 (fma.f64 alpha 2 4) (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2))) (cbrt.f64 (+.f64 alpha 1)))
(.f64 (/.f64 (+.f64 alpha 1) (-.f64 (.f64 4 (.f64 alpha alpha)) 16)) (-.f64 (.f64 alpha 2) 4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (fma.f64 alpha 2 4)) (cbrt.f64 (+.f64 alpha 1)))
(.f64 (/.f64 (-.f64 -1 alpha) (neg.f64 (-.f64 16 (.f64 4 (.f64 alpha alpha))))) (+.f64 4 (.f64 -2 alpha)))
(.f64 (/.f64 (-.f64 -1 alpha) (neg.f64 (+.f64 64 (.f64 8 (pow.f64 alpha 3))))) (+.f64 16 (.f64 (.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4))))
(.f64 (/.f64 (.f64 (fma.f64 alpha alpha -1) (/.f64 1 (fma.f64 alpha 2 4))) (fma.f64 alpha alpha -1)) (+.f64 alpha 1))
(.f64 (/.f64 (.f64 (fma.f64 alpha alpha -1) (/.f64 1 (fma.f64 alpha 2 4))) (-.f64 (pow.f64 alpha 3) 1)) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha 2 4))) (-.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (-.f64 1 alpha) (-.f64 1 alpha)))) (+.f64 (fma.f64 alpha alpha -1) alpha))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha 2 4))) (+.f64 (pow.f64 (.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (-.f64 (.f64 (-.f64 1 alpha) (-.f64 1 alpha)) (.f64 (*.f64 alpha alpha) (-.f64 1 alpha)))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 4))) (sqrt.f64 (+.f64 64 (.f64 8 (pow.f64 alpha 3))))) (sqrt.f64 (+.f64 16 (.f64 (.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4)))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 4))) (sqrt.f64 (-.f64 16 (.f64 4 (.f64 alpha alpha))))) (sqrt.f64 (+.f64 4 (.f64 -2 alpha))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 4)) 2)) (cbrt.f64 (+.f64 64 (.f64 8 (pow.f64 alpha 3))))) (cbrt.f64 (+.f64 16 (.f64 (.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4)))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 4)) 2)) (cbrt.f64 (-.f64 16 (.f64 4 (.f64 alpha alpha))))) (cbrt.f64 (+.f64 4 (.f64 -2 alpha))))
(pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 alpha 2 4) (+.f64 alpha 1)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (-.f64 -4 (*.f64 alpha 2))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (fma.f64 alpha 2 4) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 4))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 4))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))))

Outputs
(/.f64 1/4 (+.f64 beta 3))
(+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha))
(+.f64 (/.f64 1/4 (+.f64 beta 3)) (.f64 (-.f64 (/.f64 1/4 (+.f64 beta 3)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (*.f64 2 beta) 6)) (pow.f64 (+.f64 beta 3) 2)))) alpha))
(+.f64 (/.f64 1/4 (+.f64 beta 3)) (.f64 (+.f64 (/.f64 1/4 (+.f64 beta 3)) (/.f64 (.f64 -1/16 (+.f64 (*.f64 beta 2) 10)) (pow.f64 (+.f64 beta 3) 2))) alpha))
(+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha) (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))) (.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))))))
(+.f64 (/.f64 1/4 (+.f64 beta 3)) (fma.f64 (-.f64 (/.f64 1/4 (+.f64 beta 3)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (.f64 2 beta) 6)) (pow.f64 (+.f64 beta 3) 2)))) alpha (neg.f64 (.f64 (fma.f64 1/4 (/.f64 (+.f64 4 (+.f64 (.f64 2 beta) 6)) (/.f64 (+.f64 beta 3) (-.f64 (/.f64 1/4 (+.f64 beta 3)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (.f64 2 beta) 6)) (pow.f64 (+.f64 beta 3) 2)))))) (/.f64 1/8 (pow.f64 (+.f64 beta 3) 2))) (*.f64 alpha alpha)))))
(+.f64 (/.f64 1/4 (+.f64 beta 3)) (fma.f64 (+.f64 (/.f64 1/4 (+.f64 beta 3)) (/.f64 (.f64 -1/16 (+.f64 (.f64 beta 2) 10)) (pow.f64 (+.f64 beta 3) 2))) alpha (neg.f64 (.f64 (fma.f64 1/4 (.f64 (/.f64 (+.f64 (.f64 beta 2) 10) (+.f64 beta 3)) (+.f64 (/.f64 1/4 (+.f64 beta 3)) (/.f64 (.f64 -1/16 (+.f64 (.f64 beta 2) 10)) (pow.f64 (+.f64 beta 3) 2)))) (/.f64 1/8 (pow.f64 (+.f64 beta 3) 2))) (.f64 alpha alpha)))))
(+.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) (+.f64 beta 3))) (.f64 -1/4 (/.f64 (.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))) (.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))) (pow.f64 alpha 3))) (+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha) (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 beta 3))) (.f64 1/16 (/.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))) (.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)))))))))
(+.f64 (/.f64 1/4 (+.f64 beta 3)) (fma.f64 -1 (.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/4 (+.f64 beta 3)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (.f64 2 beta) 6)) (pow.f64 (+.f64 beta 3) 2)))) (+.f64 beta 3)) (.f64 -1/4 (/.f64 (+.f64 4 (+.f64 (.f64 2 beta) 6)) (/.f64 (+.f64 beta 3) (fma.f64 1/4 (/.f64 (+.f64 4 (+.f64 (.f64 2 beta) 6)) (/.f64 (+.f64 beta 3) (-.f64 (/.f64 1/4 (+.f64 beta 3)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (.f64 2 beta) 6)) (pow.f64 (+.f64 beta 3) 2)))))) (/.f64 1/8 (pow.f64 (+.f64 beta 3) 2))))))) (pow.f64 alpha 3)) (fma.f64 (-.f64 (/.f64 1/4 (+.f64 beta 3)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (.f64 2 beta) 6)) (pow.f64 (+.f64 beta 3) 2)))) alpha (neg.f64 (.f64 (fma.f64 1/4 (/.f64 (+.f64 4 (+.f64 (.f64 2 beta) 6)) (/.f64 (+.f64 beta 3) (-.f64 (/.f64 1/4 (+.f64 beta 3)) (.f64 1/16 (/.f64 (+.f64 4 (+.f64 (.f64 2 beta) 6)) (pow.f64 (+.f64 beta 3) 2)))))) (/.f64 1/8 (pow.f64 (+.f64 beta 3) 2))) (*.f64 alpha alpha))))))
(+.f64 (/.f64 1/4 (+.f64 beta 3)) (fma.f64 -1 (.f64 (fma.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 (+.f64 beta 3) 2)) (/.f64 (.f64 1/16 (+.f64 (.f64 beta 2) 10)) (pow.f64 (+.f64 beta 3) 3))) (.f64 -1/4 (.f64 (/.f64 (+.f64 (.f64 beta 2) 10) (+.f64 beta 3)) (fma.f64 1/4 (.f64 (/.f64 (+.f64 (.f64 beta 2) 10) (+.f64 beta 3)) (+.f64 (/.f64 1/4 (+.f64 beta 3)) (/.f64 (.f64 -1/16 (+.f64 (.f64 beta 2) 10)) (pow.f64 (+.f64 beta 3) 2)))) (/.f64 1/8 (pow.f64 (+.f64 beta 3) 2)))))) (pow.f64 alpha 3)) (fma.f64 (+.f64 (/.f64 1/4 (+.f64 beta 3)) (/.f64 (.f64 -1/16 (+.f64 (.f64 beta 2) 10)) (pow.f64 (+.f64 beta 3) 2))) alpha (neg.f64 (.f64 (fma.f64 1/4 (.f64 (/.f64 (+.f64 (.f64 beta 2) 10) (+.f64 beta 3)) (+.f64 (/.f64 1/4 (+.f64 beta 3)) (/.f64 (.f64 -1/16 (+.f64 (.f64 beta 2) 10)) (pow.f64 (+.f64 beta 3) 2)))) (/.f64 1/8 (pow.f64 (+.f64 beta 3) 2))) (.f64 alpha alpha))))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (.f64 1/2 (/.f64 1 alpha))) (.f64 1/4 (/.f64 (+.f64 4 (.f64 2 (+.f64 beta 3))) (pow.f64 alpha 2))))
(+.f64 (/.f64 1/2 (.f64 alpha alpha)) (-.f64 (/.f64 1/2 alpha) (/.f64 (+.f64 1 (.f64 (+.f64 (.f64 2 beta) 6) 1/4)) (.f64 alpha alpha))))
(+.f64 (/.f64 1/2 (.f64 alpha alpha)) (-.f64 (/.f64 1/2 alpha) (/.f64 (+.f64 (.f64 beta 2) 10) (/.f64 (*.f64 alpha alpha) 1/4))))
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1/4
(+.f64 (*.f64 1/8 alpha) 1/4)
(fma.f64 1/8 alpha 1/4)
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(+.f64 (fma.f64 1/8 alpha 1/4) (fma.f64 1/32 (pow.f64 alpha 3) (.f64 alpha (.f64 alpha -1/16))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 1/2 (/.f64 1/2 alpha))
(+.f64 1/2 (/.f64 -1/2 alpha))
(-.f64 (+.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
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(+.f64 1/2 (-.f64 (-.f64 (/.f64 (/.f64 1 alpha) alpha) (/.f64 1/2 alpha)) (/.f64 2 (pow.f64 alpha 3))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 1/2 (/.f64 1/2 alpha))
(+.f64 1/2 (/.f64 -1/2 alpha))
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(.f64 (fma.f64 alpha 2 -4) (/.f64 (+.f64 1 alpha) (fma.f64 4 (.f64 alpha alpha) -16)))
(/.f64 (.f64 (+.f64 1 alpha) (fma.f64 alpha 2 -4)) (fma.f64 4 (.f64 alpha alpha) -16))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (fma.f64 alpha 2 4)) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (fma.f64 alpha 2 4)))
(.f64 (/.f64 (-.f64 -1 alpha) (neg.f64 (-.f64 16 (.f64 4 (.f64 alpha alpha))))) (+.f64 4 (.f64 -2 alpha)))
(.f64 (+.f64 4 (.f64 alpha -2)) (/.f64 (-.f64 -1 alpha) (neg.f64 (+.f64 16 (.f64 -4 (.f64 alpha alpha))))))
(.f64 (+.f64 4 (.f64 alpha -2)) (/.f64 (-.f64 -1 alpha) (fma.f64 4 (*.f64 alpha alpha) -16)))
(.f64 (/.f64 (-.f64 -1 alpha) (neg.f64 (+.f64 64 (.f64 8 (pow.f64 alpha 3))))) (+.f64 16 (.f64 (.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4))))
(.f64 (+.f64 16 (.f64 (.f64 2 alpha) (fma.f64 alpha 2 -4))) (/.f64 (-.f64 -1 alpha) (+.f64 -64 (neg.f64 (.f64 (pow.f64 alpha 3) 8)))))
(/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -64 (.f64 (pow.f64 alpha 3) 8)) (+.f64 16 (.f64 2 (*.f64 alpha (fma.f64 alpha 2 -4))))))
(.f64 (/.f64 (.f64 (fma.f64 alpha alpha -1) (/.f64 1 (fma.f64 alpha 2 4))) (fma.f64 alpha alpha -1)) (+.f64 alpha 1))
(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (.f64 (fma.f64 alpha alpha -1) 1) (fma.f64 alpha 2 4)) (fma.f64 alpha alpha -1)))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 4))) (fma.f64 alpha alpha -1))
(.f64 (/.f64 (.f64 (fma.f64 alpha alpha -1) (/.f64 1 (fma.f64 alpha 2 4))) (-.f64 (pow.f64 alpha 3) 1)) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(.f64 (/.f64 (fma.f64 alpha alpha -1) (/.f64 (+.f64 (pow.f64 alpha 3) -1) (/.f64 1 (fma.f64 alpha 2 4)))) (+.f64 1 (+.f64 alpha (.f64 alpha alpha))))
(/.f64 (.f64 (/.f64 1 (fma.f64 alpha 2 4)) (fma.f64 alpha alpha -1)) (/.f64 (+.f64 -1 (pow.f64 alpha 3)) (+.f64 1 (.f64 alpha (+.f64 1 alpha)))))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha 2 4))) (-.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (-.f64 1 alpha) (-.f64 1 alpha)))) (+.f64 (fma.f64 alpha alpha -1) alpha))
(.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (-.f64 (pow.f64 alpha 4) (.f64 (-.f64 1 alpha) (-.f64 1 alpha))) (/.f64 1 (fma.f64 alpha 2 4)))) (+.f64 alpha (fma.f64 alpha alpha -1)))
(.f64 (/.f64 (/.f64 1 (fma.f64 alpha 2 4)) (/.f64 (-.f64 (pow.f64 alpha 4) (.f64 (-.f64 1 alpha) (-.f64 1 alpha))) (+.f64 1 (pow.f64 alpha 3)))) (+.f64 alpha (fma.f64 alpha alpha -1)))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha 2 4))) (+.f64 (pow.f64 (.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (-.f64 (.f64 (-.f64 1 alpha) (-.f64 1 alpha)) (.f64 (*.f64 alpha alpha) (-.f64 1 alpha)))))
(.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3)) (/.f64 1 (fma.f64 alpha 2 4)))) (+.f64 (pow.f64 alpha 4) (.f64 (-.f64 1 alpha) (-.f64 (-.f64 1 alpha) (.f64 alpha alpha)))))
(.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 (pow.f64 (.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (/.f64 1 (fma.f64 alpha 2 4))) (+.f64 (pow.f64 alpha 4) (.f64 (-.f64 1 alpha) (-.f64 1 (*.f64 alpha (+.f64 1 alpha))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 4))) (sqrt.f64 (+.f64 64 (.f64 8 (pow.f64 alpha 3))))) (sqrt.f64 (+.f64 16 (.f64 (.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4)))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (sqrt.f64 (+.f64 64 (.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (fma.f64 alpha 2 4)))) (sqrt.f64 (+.f64 16 (.f64 (*.f64 2 alpha) (fma.f64 alpha 2 -4)))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (fma.f64 alpha 2 4))) (sqrt.f64 (+.f64 64 (.f64 (pow.f64 alpha 3) 8)))) (sqrt.f64 (+.f64 16 (.f64 2 (.f64 alpha (fma.f64 alpha 2 -4))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 4))) (sqrt.f64 (-.f64 16 (.f64 4 (.f64 alpha alpha))))) (sqrt.f64 (+.f64 4 (.f64 -2 alpha))))
(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (fma.f64 alpha 2 4))) (sqrt.f64 (+.f64 4 (.f64 alpha -2)))) (sqrt.f64 (+.f64 16 (.f64 -4 (.f64 alpha alpha)))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (fma.f64 alpha 2 4))) (sqrt.f64 (+.f64 16 (.f64 (.f64 -4 alpha) alpha)))) (sqrt.f64 (+.f64 4 (.f64 alpha -2))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 4)) 2)) (cbrt.f64 (+.f64 64 (.f64 8 (pow.f64 alpha 3))))) (cbrt.f64 (+.f64 16 (.f64 (.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4)))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (cbrt.f64 (+.f64 64 (.f64 (pow.f64 alpha 3) 8))) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 4)) 2))) (cbrt.f64 (+.f64 16 (.f64 (*.f64 2 alpha) (fma.f64 alpha 2 -4)))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 4)) 2)) (cbrt.f64 (+.f64 64 (.f64 (pow.f64 alpha 3) 8)))) (cbrt.f64 (+.f64 16 (.f64 2 (.f64 alpha (fma.f64 alpha 2 -4))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 4)) 2)) (cbrt.f64 (-.f64 16 (.f64 4 (.f64 alpha alpha))))) (cbrt.f64 (+.f64 4 (.f64 -2 alpha))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (cbrt.f64 (+.f64 16 (.f64 -4 (.f64 alpha alpha)))) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 4)) 2))) (cbrt.f64 (+.f64 4 (*.f64 alpha -2))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 4)) 2) (cbrt.f64 (+.f64 16 (.f64 (.f64 -4 alpha) alpha))))) (cbrt.f64 (+.f64 4 (*.f64 alpha -2))))
(pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) 1)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 4))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))) 2)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 4))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))) 3)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 4))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) 3) 1/3)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 4))
(pow.f64 (/.f64 (fma.f64 alpha 2 4) (+.f64 alpha 1)) -1)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 4))
(neg.f64 (/.f64 (+.f64 alpha 1) (-.f64 -4 (*.f64 alpha 2))))
(/.f64 (neg.f64 (+.f64 1 alpha)) (-.f64 -4 (*.f64 2 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 4)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 4))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)))))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 4))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) 3))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 4))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (fma.f64 alpha 2 4) 3)))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 4))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 4))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 4))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 4))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 4))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 4))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 1 (+.f64 alpha 3))
	0.05%	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.07%	(*.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 alpha))
✓	0.33%	(/.f64 (.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 67 to 47 computations (29.9% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(/.f64 (.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms	beta	@	0	(/.f64 (.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms	alpha	@	-inf	(/.f64 (.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms	beta	@	inf	(/.f64 (.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms	alpha	@	-inf	(/.f64 1 (+.f64 alpha 3))

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`distribute-lft-neg-in`
708×	`distribute-rgt-neg-in`
374×	`add-sqr-sqrt`
372×	`+-commutative`
362×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	362	75
2	5591	75

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha 3)) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 1 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))))))) (#(struct:change #<rule 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#<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 3))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 3))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 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(+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 alpha 3) -1/2) (pow.f64 (+.f64 alpha 3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 alpha 3) -1/2) (*.f64 (pow.f64 (+.f64 alpha 3) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 alpha 3))) (cbrt.f64 (pow.f64 (+.f64 alpha 3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 3) -2)) (cbrt.f64 (/.f64 1 (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 3) -2)) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 alpha 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (-.f64 -3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 alpha alpha -9)) (+.f64 alpha -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 27 (pow.f64 alpha 3))) (+.f64 9 (*.f64 alpha (+.f64 alpha -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 alpha 3)) -1) (pow.f64 (sqrt.f64 (+.f64 alpha 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 alpha 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 alpha 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha 3) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 alpha 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 alpha 3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 alpha 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha 3))))))))

simplify121.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

964×	`associate-r`
788×	`associate-l`
784×	`distribute-lft-in`
698×	`distribute-rgt-in`
676×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	562	10027
1	1880	9691

Stop Event

1×	node limit

Counts

171 → 280

Calls

Call 1

Inputs
(/.f64 1/3 (pow.f64 (+.f64 beta 2) 2))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 4))) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 4))) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 7 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 6 (.f64 2 beta)) (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 (.f64 2 beta)) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))))) (pow.f64 alpha 4)))))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 (.f64 2 beta)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 beta)) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (.f64 2 beta)))))))) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 5))) (.f64 -1 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))))) (pow.f64 alpha 4))))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (+.f64 beta 2)) 3) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 3 (.f64 2 (+.f64 beta 2))))) (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (.f64 -1 (+.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (.f64 -1 (/.f64 (+.f64 (.f64 2 (+.f64 beta 2)) 3) (pow.f64 alpha 3))))))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 3 (.f64 2 (+.f64 beta 2))))) (+.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5)) (+.f64 (.f64 -3 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 3 (.f64 2 (+.f64 beta 2))))) (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (.f64 -1 (+.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 beta 2)) 3) (+.f64 (.f64 -1 (+.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (.f64 (+.f64 3 (.f64 2 (+.f64 beta 2))) (+.f64 1 (.f64 -1 (+.f64 (.f64 2 (+.f64 beta 2)) 3)))))) (pow.f64 alpha 5)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (.f64 -1 (/.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) 3) (pow.f64 alpha 3)))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 4 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 4 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 6) (+.f64 3 alpha)))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
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1/3
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1
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1/3
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(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(fma.f64 1 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3)))
(fma.f64 (/.f64 1 (+.f64 alpha 3)) 1 (/.f64 alpha (+.f64 alpha 3)))
(fma.f64 (pow.f64 (+.f64 alpha 3) -1/2) (pow.f64 (+.f64 alpha 3) -1/2) (/.f64 alpha (+.f64 alpha 3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 3) -2)) (cbrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 alpha (+.f64 alpha 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 3)))) 1)
(*.f64 1 (/.f64 1 (+.f64 alpha 3)))
(*.f64 (/.f64 1 (+.f64 alpha 3)) 1)
(*.f64 (pow.f64 (+.f64 alpha 3) -1/2) (pow.f64 (+.f64 alpha 3) -1/2))
(.f64 (pow.f64 (+.f64 alpha 3) -1/2) (.f64 (pow.f64 (+.f64 alpha 3) -1/2) 1))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 alpha 3))) (cbrt.f64 (pow.f64 (+.f64 alpha 3) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 3) -2)) (cbrt.f64 (/.f64 1 (+.f64 alpha 3))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 3) -2)) (.f64 (cbrt.f64 (/.f64 1 (+.f64 alpha 3))) 1))
(*.f64 -1 (/.f64 1 (-.f64 -3 alpha)))
(*.f64 (/.f64 1 (fma.f64 alpha alpha -9)) (+.f64 alpha -3))
(.f64 (/.f64 1 (+.f64 27 (pow.f64 alpha 3))) (+.f64 9 (.f64 alpha (+.f64 alpha -3))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha 3)) -1) (pow.f64 (sqrt.f64 (+.f64 alpha 3)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) -1))
(pow.f64 (+.f64 alpha 3) -1)
(pow.f64 (/.f64 1 (+.f64 alpha 3)) 1)
(pow.f64 (pow.f64 (+.f64 alpha 3) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 alpha 3))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 alpha 3) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha 3)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha 3)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 3))))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha 3))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha 3)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha 3))))

Outputs
(/.f64 1/3 (pow.f64 (+.f64 beta 2) 2))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)))
(fma.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 2) 6)) (pow.f64 (+.f64 beta 2) 4)) -1/9)) alpha (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 4))) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (fma.f64 -1 (.f64 (.f64 alpha alpha) (fma.f64 1/3 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))))) (.f64 1/9 (/.f64 (+.f64 (*.f64 beta 2) 7) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 2) 6)) (pow.f64 (+.f64 beta 2) 4)) -1/9)) alpha (-.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 alpha (.f64 alpha (fma.f64 1/3 (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 2) 6)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 2) 6)) (pow.f64 (+.f64 beta 2) 4)) -1/9))) (/.f64 1/9 (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 (*.f64 beta 2) 7))))))))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 4))) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 7 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(fma.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (fma.f64 -1 (.f64 (.f64 alpha alpha) (fma.f64 1/3 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))))) (.f64 1/9 (/.f64 (+.f64 (.f64 beta 2) 7) (pow.f64 (+.f64 beta 2) 4))))) (fma.f64 -1 (.f64 (fma.f64 1/3 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (.f64 beta 2) 7))) (fma.f64 -1/3 (/.f64 (fma.f64 1/3 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1/9 (/.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))))) (.f64 1/9 (/.f64 (+.f64 (.f64 beta 2) 7) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 3 (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 1/9 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 2) 6)) (pow.f64 (+.f64 beta 2) 4)) -1/9)) alpha (-.f64 (-.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (fma.f64 1/3 (.f64 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 2) 6)) (pow.f64 (+.f64 beta 2) 4)) -1/9)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 beta 2) 7)) (fma.f64 -1/3 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 2) 6)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 1/3 (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 2) 6)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 2) 6)) (pow.f64 (+.f64 beta 2) 4)) -1/9))) (/.f64 1/9 (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 (.f64 beta 2) 7)))))) (/.f64 1/9 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3))) (.f64 alpha (.f64 alpha (fma.f64 1/3 (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 2) 6)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 2) 6)) (pow.f64 (+.f64 beta 2) 4)) -1/9))) (/.f64 1/9 (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 (.f64 beta 2) 7))))))))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 6 (.f64 2 beta)) (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 (.f64 beta 2) 6) (pow.f64 alpha 3))))
(-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 (+.f64 (.f64 beta 2) 6) (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 (.f64 2 beta)) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))))) (pow.f64 alpha 4)))))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (.f64 beta 2) 6) (pow.f64 alpha 3)) (neg.f64 (/.f64 (+.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (.f64 (+.f64 (.f64 beta 2) 7) (+.f64 (.f64 beta 2) 6)))) (pow.f64 alpha 4)))))
(-.f64 (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 (+.f64 (.f64 beta 2) 6) (pow.f64 alpha 3))) (/.f64 (+.f64 (.f64 (+.f64 beta 2) 6) (-.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 7)))) (pow.f64 alpha 4)))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 (.f64 2 beta)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 beta)) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (.f64 2 beta)))))))) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 5))) (.f64 -1 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))))) (pow.f64 alpha 4))))))
(+.f64 (/.f64 1 (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (.f64 beta 2) 6) (pow.f64 alpha 3)) (.f64 -1 (+.f64 (/.f64 (fma.f64 3 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (+.f64 (.f64 (+.f64 (.f64 beta 2) 7) (+.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (.f64 (+.f64 (.f64 beta 2) 7) (+.f64 (.f64 beta 2) 6))))) (.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 beta 2) 6))))) (pow.f64 alpha 5)) (/.f64 (+.f64 (fma.f64 3 (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (.f64 (+.f64 (.f64 beta 2) 7) (+.f64 (*.f64 beta 2) 6)))) (pow.f64 alpha 4))))))
(+.f64 (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 (+.f64 (.f64 beta 2) 6) (pow.f64 alpha 3))) (-.f64 (/.f64 (neg.f64 (+.f64 (.f64 (+.f64 beta 2) 6) (-.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 7))))) (pow.f64 alpha 4)) (/.f64 (-.f64 (-.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) 3) (.f64 (+.f64 (.f64 (+.f64 beta 2) 6) (-.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 7)))) (+.f64 (.f64 beta 2) 7))) (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 2) 6)) (+.f64 (.f64 beta 2) 6))) (pow.f64 alpha 5))))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (+.f64 beta 2)) 3) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 2 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (pow.f64 alpha 3)) (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 (+.f64 (.f64 beta 2) 7) (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 3 (.f64 2 (+.f64 beta 2))))) (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (.f64 -1 (+.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (.f64 -1 (/.f64 (+.f64 (.f64 2 (+.f64 beta 2)) 3) (pow.f64 alpha 3))))))
(fma.f64 -1 (/.f64 (fma.f64 (+.f64 1 (neg.f64 (fma.f64 2 (+.f64 beta 2) 3))) (fma.f64 2 (+.f64 beta 2) 3) (neg.f64 (fma.f64 -6 (+.f64 beta 2) (neg.f64 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 2 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 1 (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 3)) (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 (+.f64 (.f64 beta 2) 7) (pow.f64 alpha 3)))) (/.f64 (-.f64 (.f64 (+.f64 (.f64 beta 2) 7) (-.f64 1 (+.f64 (.f64 beta 2) 7))) (-.f64 (+.f64 (.f64 beta -6) -12) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 4)))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 3 (.f64 2 (+.f64 beta 2))))) (+.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5)) (+.f64 (.f64 -3 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 3 (.f64 2 (+.f64 beta 2))))) (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (.f64 -1 (+.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 beta 2)) 3) (+.f64 (.f64 -1 (+.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (.f64 (+.f64 3 (.f64 2 (+.f64 beta 2))) (+.f64 1 (.f64 -1 (+.f64 (.f64 2 (+.f64 beta 2)) 3)))))) (pow.f64 alpha 5)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (.f64 -1 (/.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) 3) (pow.f64 alpha 3)))))))))
(+.f64 (/.f64 (+.f64 1 (neg.f64 (fma.f64 2 (+.f64 beta 2) 3))) (/.f64 (pow.f64 alpha 5) (fma.f64 -6 (+.f64 beta 2) (neg.f64 (pow.f64 (+.f64 beta 2) 2))))) (fma.f64 -3 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 5)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 1 (neg.f64 (fma.f64 2 (+.f64 beta 2) 3))) (fma.f64 2 (+.f64 beta 2) 3) (neg.f64 (fma.f64 -6 (+.f64 beta 2) (neg.f64 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 2 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 1 (pow.f64 alpha 3)))) (/.f64 (fma.f64 2 (+.f64 beta 2) 3) (/.f64 (pow.f64 alpha 5) (fma.f64 (+.f64 1 (neg.f64 (fma.f64 2 (+.f64 beta 2) 3))) (fma.f64 2 (+.f64 beta 2) 3) (neg.f64 (fma.f64 -6 (+.f64 beta 2) (neg.f64 (pow.f64 (+.f64 beta 2) 2)))))))))))
(+.f64 (.f64 (/.f64 (-.f64 1 (+.f64 (.f64 beta 2) 7)) (pow.f64 alpha 5)) (-.f64 (+.f64 (.f64 beta -6) -12) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 -3 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 5)) (+.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 3)) (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 (+.f64 (.f64 beta 2) 7) (pow.f64 alpha 3)))) (/.f64 (-.f64 (.f64 (+.f64 (.f64 beta 2) 7) (-.f64 1 (+.f64 (.f64 beta 2) 7))) (-.f64 (+.f64 (.f64 beta -6) -12) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 4))) (.f64 (/.f64 (+.f64 (.f64 beta 2) 7) (pow.f64 alpha 5)) (-.f64 (.f64 (+.f64 (.f64 beta 2) 7) (-.f64 1 (+.f64 (.f64 beta 2) 7))) (-.f64 (+.f64 (*.f64 beta -6) -12) (pow.f64 (+.f64 beta 2) 2)))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 4 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
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1/3
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1
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1
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1/3
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(/.f64 1 alpha)
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(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))) 1))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2))
(*.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (+.f64 3 alpha)))
(+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3)))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))
(+.f64 (/.f64 1 (+.f64 alpha 3)) (*.f64 (/.f64 alpha (+.f64 alpha 3)) 1))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))
(+.f64 (/.f64 alpha (+.f64 alpha 3)) (/.f64 1 (+.f64 alpha 3)))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))
(+.f64 (*.f64 (/.f64 alpha (+.f64 alpha 3)) 1) (/.f64 1 (+.f64 alpha 3)))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 3)))) (-.f64 1 (/.f64 alpha (+.f64 alpha 3))))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 3)))) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 3)) 1)))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))) 1)
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 3)) (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 3))))) 1)
(+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))
(/.f64 1 (/.f64 (+.f64 alpha 3) (+.f64 1 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (+.f64 1 alpha) (+.f64 alpha 3))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 alpha 3) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 3 alpha)) (hypot.f64 1 (sqrt.f64 alpha)))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 3 alpha)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (+.f64 alpha 3) (cbrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 3 alpha)) (cbrt.f64 (+.f64 1 alpha)))
(*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 3 alpha)))
(/.f64 (-.f64 1 (.f64 alpha alpha)) (.f64 (+.f64 alpha 3) (-.f64 1 alpha)))
(/.f64 (-.f64 1 (.f64 alpha alpha)) (.f64 (+.f64 3 alpha) (-.f64 1 alpha)))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (.f64 (+.f64 alpha 3) (+.f64 1 (-.f64 (.f64 alpha alpha) alpha))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 3 alpha)) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (*.f64 (+.f64 3 alpha) (+.f64 1 (fma.f64 alpha alpha (neg.f64 alpha)))))
(/.f64 (.f64 (/.f64 1 (+.f64 alpha 3)) (-.f64 1 (.f64 alpha alpha))) (-.f64 1 alpha))
(/.f64 (-.f64 1 (.f64 alpha alpha)) (.f64 (+.f64 3 alpha) (-.f64 1 alpha)))
(/.f64 (.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (-.f64 (.f64 alpha alpha) alpha)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 3 alpha)) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (*.f64 (+.f64 3 alpha) (+.f64 1 (fma.f64 alpha alpha (neg.f64 alpha)))))
(/.f64 (.f64 (-.f64 1 (.f64 alpha alpha)) (/.f64 1 (+.f64 alpha 3))) (-.f64 1 alpha))
(/.f64 (-.f64 1 (.f64 alpha alpha)) (.f64 (+.f64 3 alpha) (-.f64 1 alpha)))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (+.f64 alpha 3))) (+.f64 1 (-.f64 (.f64 alpha alpha) alpha)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 3 alpha)) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (*.f64 (+.f64 3 alpha) (+.f64 1 (fma.f64 alpha alpha (neg.f64 alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) 1) (+.f64 alpha 3))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 alpha 3))) (sqrt.f64 (+.f64 alpha 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (sqrt.f64 (+.f64 3 alpha)) (sqrt.f64 (+.f64 3 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (cbrt.f64 (+.f64 alpha 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 (+.f64 3 alpha)) (pow.f64 (cbrt.f64 (+.f64 3 alpha)) 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 3 alpha))) (pow.f64 (cbrt.f64 (+.f64 3 alpha)) 2))
(/.f64 (neg.f64 (+.f64 1 alpha)) (-.f64 -3 alpha))
(/.f64 (+.f64 -1 (neg.f64 alpha)) (-.f64 -3 alpha))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 alpha))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha 3) -2) (.f64 (/.f64 alpha (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3)))) (.f64 (/.f64 1 (+.f64 alpha 3)) (-.f64 1 alpha)))
(/.f64 (-.f64 (pow.f64 (+.f64 3 alpha) -2) (.f64 (/.f64 alpha (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (/.f64 (.f64 1 (-.f64 1 alpha)) (+.f64 3 alpha)))
(/.f64 (-.f64 (pow.f64 (+.f64 3 alpha) -2) (*.f64 (/.f64 alpha (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (/.f64 (-.f64 1 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 (pow.f64 (/.f64 1 (+.f64 alpha 3)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 3)) 3)) (+.f64 (pow.f64 (+.f64 alpha 3) -2) (*.f64 (/.f64 alpha (+.f64 alpha 3)) (-.f64 (/.f64 alpha (+.f64 alpha 3)) (/.f64 1 (+.f64 alpha 3))))))
(/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (/.f64 alpha (+.f64 3 alpha)) 3)) (+.f64 (pow.f64 (+.f64 3 alpha) -2) (*.f64 (/.f64 alpha (+.f64 3 alpha)) (-.f64 (/.f64 alpha (+.f64 3 alpha)) (/.f64 1 (+.f64 3 alpha))))))
(/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (/.f64 alpha (+.f64 3 alpha)) 3)) (+.f64 (pow.f64 (+.f64 3 alpha) -2) (*.f64 (/.f64 alpha (+.f64 3 alpha)) (+.f64 (/.f64 alpha (+.f64 3 alpha)) (/.f64 -1 (+.f64 3 alpha))))))
(/.f64 (.f64 (-.f64 1 (.f64 alpha alpha)) 1) (*.f64 (-.f64 1 alpha) (+.f64 alpha 3)))
(/.f64 (-.f64 1 (.f64 alpha alpha)) (.f64 (+.f64 3 alpha) (-.f64 1 alpha)))
(/.f64 (.f64 (-.f64 1 (.f64 alpha alpha)) -1) (*.f64 (-.f64 1 alpha) (-.f64 -3 alpha)))
(/.f64 (neg.f64 (-.f64 1 (.f64 alpha alpha))) (.f64 (-.f64 1 alpha) (-.f64 -3 alpha)))
(/.f64 (+.f64 -1 (.f64 alpha alpha)) (.f64 (-.f64 1 alpha) (-.f64 -3 alpha)))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) 1) (.f64 (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 3 alpha)) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (*.f64 (+.f64 3 alpha) (+.f64 1 (fma.f64 alpha alpha (neg.f64 alpha)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) -1) (.f64 (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)) (-.f64 -3 alpha)))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 alpha 3))) (.f64 (+.f64 1 (-.f64 (.f64 alpha alpha) alpha)) (-.f64 -3 alpha)))
(/.f64 (-.f64 -1 (pow.f64 alpha 3)) (*.f64 (+.f64 1 (fma.f64 alpha alpha (neg.f64 alpha))) (-.f64 -3 alpha)))
(/.f64 (neg.f64 (-.f64 1 (.f64 alpha alpha))) (.f64 (-.f64 -3 alpha) (-.f64 1 alpha)))
(/.f64 (neg.f64 (-.f64 1 (.f64 alpha alpha))) (.f64 (-.f64 1 alpha) (-.f64 -3 alpha)))
(/.f64 (+.f64 -1 (.f64 alpha alpha)) (.f64 (-.f64 1 alpha) (-.f64 -3 alpha)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 alpha 3))) (.f64 (-.f64 -3 alpha) (+.f64 1 (-.f64 (.f64 alpha alpha) alpha))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 alpha 3))) (.f64 (+.f64 1 (-.f64 (.f64 alpha alpha) alpha)) (-.f64 -3 alpha)))
(/.f64 (-.f64 -1 (pow.f64 alpha 3)) (*.f64 (+.f64 1 (fma.f64 alpha alpha (neg.f64 alpha))) (-.f64 -3 alpha)))
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 1)
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 3)
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 3) 1/3)
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(neg.f64 (/.f64 (neg.f64 (+.f64 1 alpha)) (+.f64 alpha 3)))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 3))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 alpha 3)) 3) (pow.f64 (+.f64 1 alpha) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (+.f64 1 alpha) 3)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) 1) (pow.f64 (+.f64 3 alpha) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (/.f64 1 (+.f64 alpha 3)) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (+.f64 1 alpha) 3)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) 1) (pow.f64 (+.f64 3 alpha) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 alpha 3) 3)))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 3))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 alpha))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 3))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 alpha))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(fma.f64 1 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3)))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))
(fma.f64 (/.f64 1 (+.f64 alpha 3)) 1 (/.f64 alpha (+.f64 alpha 3)))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))
(fma.f64 (pow.f64 (+.f64 alpha 3) -1/2) (pow.f64 (+.f64 alpha 3) -1/2) (/.f64 alpha (+.f64 alpha 3)))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 3) -2)) (cbrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 alpha (+.f64 alpha 3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 3 alpha) -2)) (cbrt.f64 (/.f64 1 (+.f64 3 alpha))) (/.f64 alpha (+.f64 3 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 3)))) 1)
(/.f64 1 (+.f64 3 alpha))
(*.f64 1 (/.f64 1 (+.f64 alpha 3)))
(/.f64 1 (+.f64 3 alpha))
(*.f64 (/.f64 1 (+.f64 alpha 3)) 1)
(/.f64 1 (+.f64 3 alpha))
(*.f64 (pow.f64 (+.f64 alpha 3) -1/2) (pow.f64 (+.f64 alpha 3) -1/2))
(/.f64 1 (+.f64 3 alpha))
(.f64 (pow.f64 (+.f64 alpha 3) -1/2) (.f64 (pow.f64 (+.f64 alpha 3) -1/2) 1))
(/.f64 1 (+.f64 3 alpha))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 alpha 3))) (cbrt.f64 (pow.f64 (+.f64 alpha 3) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 3 alpha) -2)) (cbrt.f64 (/.f64 1 (+.f64 3 alpha))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 3) -2)) (cbrt.f64 (/.f64 1 (+.f64 alpha 3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 3 alpha) -2)) (cbrt.f64 (/.f64 1 (+.f64 3 alpha))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 3) -2)) (.f64 (cbrt.f64 (/.f64 1 (+.f64 alpha 3))) 1))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 3 alpha) -2)) (cbrt.f64 (/.f64 1 (+.f64 3 alpha))))
(*.f64 -1 (/.f64 1 (-.f64 -3 alpha)))
(/.f64 -1 (-.f64 -3 alpha))
(*.f64 (/.f64 1 (fma.f64 alpha alpha -9)) (+.f64 alpha -3))
(/.f64 (+.f64 alpha -3) (fma.f64 alpha alpha -9))
(.f64 (/.f64 1 (+.f64 27 (pow.f64 alpha 3))) (+.f64 9 (.f64 alpha (+.f64 alpha -3))))
(.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) 27)) (+.f64 9 (.f64 alpha (+.f64 alpha -3))))
(/.f64 (+.f64 9 (*.f64 alpha (+.f64 alpha -3))) (+.f64 (pow.f64 alpha 3) 27))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha 3)) -1) (pow.f64 (sqrt.f64 (+.f64 alpha 3)) -1))
(pow.f64 (sqrt.f64 (+.f64 3 alpha)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 alpha)) 2)) (/.f64 1 (cbrt.f64 (+.f64 3 alpha))))
(pow.f64 (+.f64 alpha 3) -1)
(/.f64 1 (+.f64 3 alpha))
(pow.f64 (/.f64 1 (+.f64 alpha 3)) 1)
(/.f64 1 (+.f64 3 alpha))
(pow.f64 (pow.f64 (+.f64 alpha 3) -1/2) 2)
(/.f64 1 (+.f64 3 alpha))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 alpha 3))) 3)
(/.f64 1 (+.f64 3 alpha))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha 3)) 3) 1/3)
(/.f64 1 (+.f64 3 alpha))
(sqrt.f64 (pow.f64 (+.f64 alpha 3) -2))
(sqrt.f64 (pow.f64 (+.f64 3 alpha) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha 3))))
(/.f64 1 (+.f64 3 alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha 3)))))
(/.f64 1 (+.f64 3 alpha))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha 3)) 3))
(/.f64 1 (+.f64 3 alpha))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 3))))
(/.f64 1 (+.f64 3 alpha))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha 3))))
(/.f64 1 (+.f64 3 alpha))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha 3)) -1))
(/.f64 1 (+.f64 3 alpha))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha 3))) 1))
(/.f64 1 (+.f64 3 alpha))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha 3))))
(/.f64 1 (+.f64 3 alpha))

eval1.5s (7.1%)

Compiler: Compiled 57675 to 42781 computations (25.8% saved)

prune453.0ms (2.1%)

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	1557	6	1563
Fresh	4	16	20
Picked	0	1	1
Done	4	5	9
Total	1565	28	1593

Error

Counts

1593 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	53.16%	(pow.f64 beta -2)
	46.72%	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 (.f64 beta (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
✓	7.12%	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	39.08%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	39.55%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
	4.42%	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (/.f64 1 (+.f64 beta 1)) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))) (+.f64 alpha (+.f64 beta 3)))
✓	2.23%	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
	47.62%	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	20.49%	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	48.62%	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	45.31%	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
	50.79%	(/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 -1 beta)))
	23.7%	(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	20.9%	(/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	2.67%	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (+.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
✓	2.68%	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	20.69%	(/.f64 (.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	7.12%	(/.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	68.09%	(/.f64 alpha (*.f64 beta beta))
	45.55%	(/.f64 1 (/.f64 -1 (/.f64 (/.f64 -1 (+.f64 beta 3)) (+.f64 beta 2))))
	52.43%	(/.f64 1 (*.f64 beta (+.f64 beta 5)))
	53.44%	(/.f64 1 (*.f64 beta beta))
	97.58%	(/.f64 1/2 alpha)
	49.48%	(/.f64 1/4 (+.f64 beta 3))
	48.87%	(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
✓	0.16%	(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
	48.21%	(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))
	88.96%	1/6

Compiler

Compiled 462 to 340 computations (26.4% saved)

regimes141.0ms (0.7%)

Counts

57 → 1

Calls

Call 1

Inputs
1/6
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/3 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 -1 beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (/.f64 -1 (/.f64 (/.f64 -1 (+.f64 beta 3)) (+.f64 beta 2))))
(/.f64 (.f64 1/2 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 beta) (.f64 (+.f64 2 (+.f64 alpha beta)) (.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1)))))
(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (/.f64 1 (+.f64 beta 1)) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))) (+.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(/.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 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (+.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 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))
(pow.f64 beta -2)
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 (.f64 beta (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
(/.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

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

Calls

3 calls:

26.0ms

alpha

26.0ms

beta

13.0ms

(/.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

Error	Segments	Branch
0.16%	1	`alpha`
0.16%	1	`beta`
0.16%	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))`

Compiler

Compiled 920 to 616 computations (33% saved)

regimes120.0ms (0.6%)

Counts

39 → 1

Calls

Call 1

Inputs
1/6
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/3 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 -1 beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (/.f64 -1 (/.f64 (/.f64 -1 (+.f64 beta 3)) (+.f64 beta 2))))
(/.f64 (.f64 1/2 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))

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

Calls

2 calls:

58.0ms	beta
19.0ms	alpha

Results

Error	Segments	Branch
2.23%	1	`alpha`
2.23%	1	`beta`

Compiler

Compiled 437 to 294 computations (32.7% saved)

regimes75.0ms (0.4%)

Counts

38 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/3 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 -1 beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (/.f64 -1 (/.f64 (/.f64 -1 (+.f64 beta 3)) (+.f64 beta 2))))
(/.f64 (.f64 1/2 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))

Outputs

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

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

Calls

2 calls:

33.0ms	alpha
32.0ms	beta

Results

Error	Segments	Branch
2.21%	2	`alpha`
1.13%	2	`beta`

Compiler

Compiled 414 to 278 computations (32.9% saved)

bsearch79.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
79.0ms	0.2675091466979712	35200769803.98153

Results

76.0ms

160×

body

256

valid

Compiler

Compiled 462 to 338 computations (26.8% saved)

regimes133.0ms (0.6%)

Counts

33 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/3 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 -1 beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (/.f64 -1 (/.f64 (/.f64 -1 (+.f64 beta 3)) (+.f64 beta 2))))
(/.f64 (.f64 1/2 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))

Outputs
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

68.0ms	beta
58.0ms	alpha

Results

Error	Segments	Branch
12.98%	2	`alpha`
1.46%	2	`beta`

Compiler

Compiled 313 to 209 computations (33.2% saved)

bsearch50.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	0.2675091466979712	35200769803.98153

Results

48.0ms

160×

body

256

valid

Compiler

Compiled 342 to 258 computations (24.6% saved)

regimes124.0ms (0.6%)

Counts

32 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/3 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 -1 beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (/.f64 -1 (/.f64 (/.f64 -1 (+.f64 beta 3)) (+.f64 beta 2))))
(/.f64 (.f64 1/2 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Outputs
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

88.0ms	alpha
28.0ms	beta

Results

Error	Segments	Branch
13.46%	2	`alpha`
1.93%	2	`beta`

Compiler

Compiled 296 to 197 computations (33.4% saved)

bsearch26.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.2675091466979712	35200769803.98153

Results

24.0ms

160×

body

256

valid

Compiler

Compiled 322 to 238 computations (26.1% saved)

regimes106.0ms (0.5%)

Counts

28 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/3 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 -1 beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (/.f64 -1 (/.f64 (/.f64 -1 (+.f64 beta 3)) (+.f64 beta 2))))
(/.f64 (.f64 1/2 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))

Outputs
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

76.0ms	beta
24.0ms	alpha

Results

Error	Segments	Branch
14.47%	2	`alpha`
2.19%	2	`beta`

Compiler

Compiled 232 to 153 computations (34.1% saved)

bsearch27.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.2675091466979712	35200769803.98153

Results

25.0ms

160×

body

256

valid

Compiler

Compiled 282 to 208 computations (26.2% saved)

regimes123.0ms (0.6%)

Counts

21 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/3 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 -1 beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))

Outputs
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)

Calls

2 calls:

64.0ms	beta
55.0ms	alpha

Results

Error	Segments	Branch
27.69%	4	`alpha`
2.23%	2	`beta`

Compiler

Compiled 141 to 88 computations (37.6% saved)

bsearch29.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	0.2675091466979712	35200769803.98153

Results

26.0ms

160×

body

256

valid

Compiler

Compiled 242 to 178 computations (26.4% saved)

regimes68.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/3 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))

Outputs
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Calls

2 calls:

38.0ms	alpha
19.0ms	beta

Results

Error	Segments	Branch
29.64%	4	`alpha`
4.36%	2	`beta`

Compiler

Compiled 80 to 46 computations (42.5% saved)

bsearch29.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	0.2675091466979712	35200769803.98153

Results

23.0ms

160×

body

256

valid

Compiler

Compiled 242 to 178 computations (26.4% saved)

regimes65.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/3 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))

Outputs
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))

Calls

2 calls:

46.0ms	alpha
14.0ms	beta

Results

Error	Segments	Branch
30.31%	5	`alpha`
7.01%	2	`beta`

Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch28.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.2675091466979712	35200769803.98153

Results

24.0ms

160×

body

256

valid

Compiler

Compiled 242 to 188 computations (22.3% saved)

regimes44.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/3 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))

Outputs
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta beta))

Calls

2 calls:

29.0ms	alpha
12.0ms	beta

Results

Error	Segments	Branch
30.41%	5	`alpha`
7.05%	2	`beta`

Compiler

Compiled 52 to 32 computations (38.5% saved)

bsearch28.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.2675091466979712	35200769803.98153

Results

25.0ms

160×

body

256

valid

Compiler

Compiled 222 to 168 computations (24.3% saved)

regimes43.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/3 alpha) alpha)

Outputs
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 beta beta))

Calls

2 calls:

30.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
31.02%	5	`alpha`
7.66%	2	`beta`

Compiler

Compiled 45 to 27 computations (40% saved)

bsearch29.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	0.2675091466979712	35200769803.98153

Results

26.0ms

160×

body

256

valid

Compiler

Compiled 202 to 158 computations (21.8% saved)

regimes21.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 1/3 (*.f64 beta beta))

Outputs
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/3 (*.f64 beta beta))

Calls

2 calls:

10.0ms	beta
10.0ms	alpha

Results

Error	Segments	Branch
39.96%	2	`alpha`
21.62%	2	`beta`

Compiler

Compiled 30 to 21 computations (30% saved)

bsearch27.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.2675091466979712	35200769803.98153

Results

25.0ms

160×

body

256

valid

Compiler

Compiled 202 to 158 computations (21.8% saved)

regimes10.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
1/6
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/3 (*.f64 alpha alpha))

Outputs
(/.f64 1/4 (+.f64 beta 3))

Calls

2 calls:

4.0ms	beta
4.0ms	alpha

Results

Error	Segments	Branch
49.48%	1	`alpha`
49.48%	1	`beta`

Compiler

Compiled 25 to 18 computations (28% saved)

regimes9.0ms (0%)

Accuracy

Total -5.6b remaining (-9.9%)

Threshold costs -5.6b (-9.9%)

Counts

3 → 1

Calls

Call 1

Inputs
1/6
(/.f64 1/2 alpha)
(/.f64 1 alpha)

Outputs
1/6

Calls

2 calls:

3.0ms	alpha
3.0ms	beta

Results

Error	Segments	Branch
88.96%	1	`alpha`
88.96%	1	`beta`

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative`
10×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	726
1	109	726

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 7656119366529843/1125899906842624) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4728779608739021/4503599627370496) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4728779608739021/1125899906842624) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4165829655317709/562949953421312) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 13/2) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 13/4) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (*.f64 beta (+.f64 beta 5))))
(if (<=.f64 beta 7656119366529843/1125899906842624) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 6) (/.f64 1/4 (+.f64 beta 3)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 11/4) (/.f64 1/4 (+.f64 beta 3)) (/.f64 1/3 (*.f64 beta beta)))
(/.f64 1/4 (+.f64 beta 3))
1/6

Outputs
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 7656119366529843/1125899906842624) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7656119366529843/1125899906842624) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 3 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4728779608739021/4503599627370496) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4728779608739021/4503599627370496) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4728779608739021/1125899906842624) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4165829655317709/562949953421312) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4165829655317709/562949953421312) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 13/2) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 13/2) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) (*.f64 beta beta)))
(if (<=.f64 beta 13/4) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (*.f64 beta (+.f64 beta 5))))
(if (<=.f64 beta 7656119366529843/1125899906842624) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 6) (/.f64 1/4 (+.f64 beta 3)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 11/4) (/.f64 1/4 (+.f64 beta 3)) (/.f64 1/3 (*.f64 beta beta)))
(/.f64 1/4 (+.f64 beta 3))
1/6

Compiler

Compiled 296 to 215 computations (27.4% saved)

soundness791.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

8048×	`associate-+r+`
2246×	`associate-/l*`
1374×	`*-commutative`
1060×	`distribute-lft-in`
808×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	38	75
2	117	75
3	494	73
4	2614	73
5	3312	73
6	3575	73
7	4028	73
8	4449	73
9	4462	73
10	4697	73
11	4824	73
12	4967	73
13	5267	73
14	5933	73
15	6131	73
16	6154	73
17	6161	73
18	6168	73
19	6175	73
20	6182	73
21	6189	73
22	6196	73
23	6203	73
24	7340	73
25	7347	73
26	7354	73
27	7361	73
28	7368	73
29	7375	73
30	7382	73
31	7389	73
32	7396	73
33	7403	73
34	7410	73
35	7417	73
36	7424	73
37	7431	73
38	7438	73
39	7445	73

Stop Event

1×	node limit

Compiler

Compiled 453 to 280 computations (38.2% saved)

end176.0ms (0.8%)

Compiler: Compiled 324 to 224 computations (30.9% saved)