Details

analyze55.0ms (0.2%)

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)

sample1.7s (7.3%)

Results

1.7s

8256×

body

256

valid

Bogosity

preprocess374.0ms (1.6%)

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%)

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)

prune13.0ms (0.1%)

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

0.07%

Counts

10 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.39%	(/.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))
▶	0.18%	(/.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)))
▶	6.85%	(/.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))))
▶	14.03%	(/.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)))))
▶	2.36%	(/.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 292 to 198 computations (32.2% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))
✓	0.02%	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
✓	0.05%	(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
✓	0.12%	(/.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
3.0ms	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)))
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	beta	@	0	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
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)))

rewrite152.0ms (0.7%)

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) 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((#(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))))))))

simplify179.0ms (0.8%)

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))

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.04%	(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))
✓	0.19%	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1))
✓	2.28%	(/.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)

series12.0ms (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	@	0	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1))
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))

rewrite120.0ms (0.5%)

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

Outputs
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simplify268.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1708×	`associate-r`
1588×	`associate-l`
1410×	`+-commutative`
1154×	`associate-+r+`
878×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	959	23816
1	3409	23152

Stop Event

1×	node limit

Counts

288 → 509

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 beta 2) (+.f64 alpha beta)) (+.f64 (.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) 2) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (.f64 (+.f64 alpha beta) alpha) (+.f64 (.f64 2 alpha) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) 1))
(+.f64 (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) 1) (.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(+.f64 (.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) (.f64 2 (+.f64 beta (+.f64 alpha 2))))
(+.f64 (.f64 2 (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (.f64 2 (+.f64 beta (+.f64 alpha 2))) (+.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (.f64 (+.f64 alpha beta) (+.f64 beta 2)) (+.f64 (.f64 2 (+.f64 beta 2)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (.f64 2 (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (+.f64 (.f64 alpha alpha) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (*.f64 alpha (+.f64 beta 2)))
(+.f64 (+.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 alpha (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (+.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) beta))
(+.f64 (+.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta 2) (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) 2))
(+.f64 (+.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(+.f64 (+.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 2 (+.f64 beta (+.f64 alpha 2)))) (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (+.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 alpha beta) (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2)))
(+.f64 (+.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 2 (+.f64 beta (+.f64 alpha 2))))
(+.f64 (+.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (.f64 alpha (+.f64 beta 2))) (*.f64 alpha alpha))
(+.f64 (+.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (.f64 alpha (+.f64 alpha beta))) (*.f64 alpha 2))
(+.f64 (+.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 alpha beta) alpha)) (*.f64 2 alpha))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1)
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (-.f64 alpha beta) 2) (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (.f64 (+.f64 beta (+.f64 alpha 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 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.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))))

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
	0.02%	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	2.28%	(/.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))))
✓	5.98%	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 85 to 53 computations (37.6% saved)

series6.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
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))))
1.0ms	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	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))))

rewrite109.0ms (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	117
1	419	117
2	6742	117

Stop Event

1×	node limit

Counts

3 → 160

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))))

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

Outputs

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

simplify140.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1150×	`+-commutative`
1090×	`associate-r`
976×	`associate-/l*`
968×	`associate-l`
884×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	806	19042
1	2733	18694

Stop Event

1×	node limit

Counts

232 → 377

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

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

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(/.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)))
✓	0.01%	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)
✓	0.12%	(/.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))
✓	5.97%	(/.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)

series16.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite166.0ms (0.7%)

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

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

simplify358.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1458×	`+-commutative`
1330×	`associate-r`
1292×	`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 → 485

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(.f64 -1 (-.f64 (.f64 -1 beta) 1))
(+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)))
(+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (-.f64 (.f64 -1 alpha) 1))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (.f64 -1 (-.f64 (.f64 -1 alpha) 1)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (.f64 -1 (-.f64 (.f64 -1 alpha) 1))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 3))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (.f64 -1 (-.f64 (*.f64 -1 alpha) 1)))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) (pow.f64 beta 2)))
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(+.f64 beta 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 3 alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
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(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))))

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

localize341.0ms (1.5%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.02%

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

✓

0.09%

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

✓

13.92%

(/.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)))))

Compiler

Compiled 95 to 58 computations (38.9% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	inf	(/.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)))))
1.0ms	beta	@	0	(/.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)))))
1.0ms	alpha	@	0	(/.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)))))
1.0ms	beta	@	-inf	(/.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)))))
1.0ms	alpha	@	-inf	(/.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)))))

rewrite103.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`associate-+l+`
596×	`+-commutative`
548×	`associate-+r+`
454×	`add-sqr-sqrt`
444×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	100
1	429	100
2	6687	100

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs

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

Outputs

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

simplify162.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1202×	`distribute-lft-in`
1110×	`distribute-rgt-in`
724×	`+-commutative`
706×	`associate-r`
692×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	507	15326
1	1831	14730

Stop Event

1×	node limit

Counts

132 → 247

Calls

Call 1

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

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

eval2.9s (12.5%)

Compiler: Compiled 120922 to 86187 computations (28.7% saved)

prune1.2s (5.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	2322	18	2340
Fresh	0	0	0
Picked	1	0	1
Done	3	1	4
Total	2326	19	2345

Error

Counts

2345 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	0.29%	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
	29.82%	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (.f64 beta alpha)) (/.f64 (.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	2.3%	(/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	4.78%	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	98.13%	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
	35.96%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
▶	1.33%	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
✓	0.18%	(/.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)))
	23.76%	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	0.18%	(/.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)))
	43.63%	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	0.18%	(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 1 alpha)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (+.f64 alpha (+.f64 beta 3)))
▶	6.84%	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
	95.26%	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
▶	39.59%	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	46.39%	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	0.19%	(/.f64 (*.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)))) (+.f64 alpha (+.f64 beta 3)))
	1.76%	(.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
▶	0.17%	(*.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))))

Compiler

Compiled 853 to 603 computations (29.3% saved)

localize61.0ms (0.3%)

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 1 beta) (+.f64 beta (+.f64 alpha 2)))
✓	0.04%	(/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))
✓	0.13%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2)))

Compiler

Compiled 87 to 58 computations (33.3% saved)

series16.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite164.0ms (0.7%)

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 alpha 1) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))
(*.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 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simplify206.0ms (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 → 479

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))))))
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(/.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 (+.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 (+.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 (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 (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)))
(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)
(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 (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)
(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)
(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))
(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)))))
(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))))))
(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))
(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 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 (+.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 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 5 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 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 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 5 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)))) (+.f64 beta 3)) (/.f64 (+.f64 5 (.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 5 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 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 (+.f64 5 (.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.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 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 2 (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)) beta)) (-.f64 (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 5 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)))) (+.f64 beta 3)) (/.f64 (+.f64 5 (.f64 beta 2)) (+.f64 beta 2)))) (/.f64 (+.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 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 5 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)))) (+.f64 beta 3)) (/.f64 (+.f64 5 (.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 5 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 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 (*.f64 alpha alpha) (+.f64 beta 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)))
(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 (.f64 alpha alpha) (+.f64 beta 2))) (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 (.f64 alpha alpha) (+.f64 beta 2))) (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 (/.f64 1 alpha) (/.f64 1 (.f64 alpha alpha))) (/.f64 (neg.f64 (.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))) (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 1 (.f64 alpha alpha)) (neg.f64 (/.f64 -1 (/.f64 (.f64 alpha alpha) (+.f64 (+.f64 beta 3) (+.f64 beta 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 1 (.f64 alpha alpha)) (-.f64 (fma.f64 -1 (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (+.f64 (/.f64 1 alpha) (/.f64 (.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (-.f64 1 (neg.f64 (.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))))))))) (/.f64 (neg.f64 (.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))) (*.f64 alpha alpha))))
(+.f64 (/.f64 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 3) (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (-.f64 1 (neg.f64 (.f64 -1 (+.f64 (+.f64 beta 3) (+.f64 beta 2))))))))) (neg.f64 (/.f64 -1 (/.f64 (.f64 alpha alpha) (+.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
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1
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1
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1
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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 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) (.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 2 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 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) (.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)))
(/.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 -1 beta) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 3 (+.f64 beta alpha))) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 beta 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 -1 beta) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 3 (+.f64 beta alpha))) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 beta 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 -1 beta)) (+.f64 beta (+.f64 3 alpha))) (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
✓	2.38%	(/.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))

rewrite62.0ms (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))))))))

simplify64.0ms (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))

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.02%	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	2.31%	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 43 to 28 computations (34.9% saved)

series60.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
56.0ms	alpha	@	0	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	0	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	inf	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	-inf	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	-inf	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1680×	`associate-/r*`
1290×	`associate-/l*`
976×	`associate-/r/`
298×	`associate-+l+`
286×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	256	31
2	3853	31

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

simplify122.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

804×	`distribute-lft-in`
750×	`distribute-rgt-in`
636×	`*-commutative`
622×	`associate--r+`
584×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	412	7401
1	1428	6969
2	6798	6969

Stop Event

1×	node limit

Counts

87 → 186

Calls

Call 1

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

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

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (+.f64 beta 2) (+.f64 beta 1))
✓	0.02%	(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))
✓	0.04%	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1))))
✓	0.13%	(/.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)

series26.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
9.0ms	beta	@	inf	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1))))
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	@	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	@	-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)))

rewrite135.0ms (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 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(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))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) 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(/.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)))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(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 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.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 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 3 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beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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 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(#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))))
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((#(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))))))))

simplify204.0ms (0.9%)

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

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
✓	0.02%	(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta))
✓	2.28%	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
	5.98%	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 113 to 68 computations (39.8% saved)

series16.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite114.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`associate-+r+`
600×	`+-commutative`
498×	`add-sqr-sqrt`
488×	`pow1`
488×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	98
1	471	86
2	7616	86

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

Inputs

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

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

Outputs

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

simplify158.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1464×	`distribute-lft-in`
1348×	`distribute-rgt-in`
864×	`+-commutative`
828×	`*-commutative`
824×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	593	17129
1	2216	15917

Stop Event

1×	node limit

Counts

147 → 257

Calls

Call 1

Inputs
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (*.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha)))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha))) (/.f64 alpha (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha))))))) (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha))) (/.f64 alpha (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha)))))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha))) (/.f64 alpha (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha))))))) (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 2 alpha)) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 3 alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha)))) (/.f64 alpha (.f64 (+.f64 3 alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 (+.f64 2 alpha) alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha))))))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 (.f64 2 (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) alpha)))))))))))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha))) (/.f64 alpha (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha))))))) (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 (.f64 (+.f64 7 (+.f64 alpha (.f64 2 alpha))) (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 3 alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha)))) (/.f64 alpha (.f64 (+.f64 3 alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 (+.f64 2 alpha) alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha))))))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha))) (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha))))) (+.f64 (/.f64 alpha (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha))))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 2 alpha)) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha))) (/.f64 alpha (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha)))))) (+.f64 (.f64 (+.f64 2 alpha) alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 (+.f64 3 alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha))))))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha))))))))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 2 alpha)) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 3 alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha)))) (/.f64 alpha (.f64 (+.f64 3 alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 (+.f64 2 alpha) alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) alpha))))))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 (.f64 2 (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) 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 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (.f64 (+.f64 2 alpha) alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))))) (pow.f64 beta 4))) (+.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 (/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 (.f64 (+.f64 2 alpha) alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 -1 (.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))))) (+.f64 7 (+.f64 alpha (.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 (.f64 (+.f64 2 alpha) alpha) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2) (.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(.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))))) (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))))) 2))
(.f64 (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))))) 2) (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 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
(.f64 (/.f64 (.f64 (+.f64 beta 1) (neg.f64 (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 1 alpha)) 1) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 2)) (/.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 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (+.f64 beta alpha) 2)))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (+.f64 beta alpha) 2)))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (+.f64 (pow.f64 (.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) 8))) (+.f64 (pow.f64 (.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (.f64 (+.f64 4 (.f64 (+.f64 beta alpha) 2)) (-.f64 (+.f64 4 (.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 1 alpha)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 2)) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 2)) (/.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 (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 (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 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))
(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)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 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)
(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)
(pow.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (/.f64 (+.f64 beta (+.f64 alpha 3)) (.f64 (+.f64 beta 1) (+.f64 1 alpha)))) -1)
(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))))
(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))
(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))))))
(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)))))))
(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))))))
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))
(+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 2 (+.f64 beta alpha)))
(+.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(+.f64 (.f64 beta (+.f64 beta alpha)) (.f64 (+.f64 alpha 2) (+.f64 beta alpha)))
(+.f64 (.f64 (+.f64 beta alpha) beta) (.f64 (+.f64 beta alpha) (+.f64 alpha 2)))
(+.f64 (.f64 (+.f64 beta alpha) (+.f64 alpha 2)) (.f64 (+.f64 beta alpha) beta))
(+.f64 (*.f64 (+.f64 beta alpha) 2) (pow.f64 (+.f64 beta alpha) 2))
(+.f64 (*.f64 2 (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) 2))
(+.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) (.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))
(+.f64 (.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) (.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(+.f64 (.f64 (+.f64 alpha 2) (+.f64 beta alpha)) (.f64 beta (+.f64 beta alpha)))
(+.f64 (+.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 beta beta)) (*.f64 beta (+.f64 alpha 2)))
(+.f64 (+.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 beta (+.f64 alpha 2))) (*.f64 beta beta))
(+.f64 (+.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 beta (+.f64 beta alpha))) (*.f64 beta 2))
(+.f64 (+.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta alpha) beta)) (*.f64 2 beta))
(+.f64 (+.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 beta alpha)) (*.f64 alpha (+.f64 alpha 2)))
(+.f64 (+.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 beta alpha)) (*.f64 (+.f64 alpha 2) alpha))
(+.f64 (+.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 alpha (+.f64 alpha 2))) (*.f64 beta alpha))
(+.f64 (+.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 alpha (+.f64 beta alpha))) (*.f64 alpha 2))
(+.f64 (+.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 alpha 2) alpha)) (*.f64 beta alpha))
(+.f64 (+.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta alpha) alpha)) (*.f64 alpha 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)
(/.f64 (.f64 (+.f64 beta alpha) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (.f64 (+.f64 beta 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 beta (+.f64 alpha 2)) (-.f64 (.f64 alpha alpha) (*.f64 beta beta))) (-.f64 alpha beta))
(/.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (*.f64 beta beta)) (+.f64 beta (+.f64 alpha 2))) (-.f64 alpha beta))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 beta alpha)) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (.f64 beta (+.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 beta (+.f64 beta (+.f64 alpha 2))) (.f64 beta (+.f64 beta (+.f64 alpha 2)))) (.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (.f64 beta beta)) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (-.f64 alpha beta) (-.f64 beta (+.f64 alpha 2))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (.f64 beta beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 (-.f64 alpha beta) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (.f64 (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))) (-.f64 beta (+.f64 alpha 2))))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (.f64 alpha alpha) (.f64 beta beta))) (*.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 alpha beta)))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (.f64 (-.f64 beta (+.f64 alpha 2)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (-.f64 (.f64 alpha alpha) (.f64 beta beta))) (.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (-.f64 alpha beta)))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (+.f64 beta (+.f64 alpha 2)) alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2))))

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

eval1.7s (7.4%)

Compiler: Compiled 87757 to 62461 computations (28.8% saved)

prune842.0ms (3.7%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1750	18	1768
Fresh	8	5	13
Picked	1	0	1
Done	4	1	5
Total	1763	24	1787

Error

Counts

1787 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	47.38%	(pow.f64 beta -2)
	29.82%	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (.f64 beta alpha)) (/.f64 (.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	97.66%	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha)
	98.13%	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
	35.96%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
▶	36.02%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
	3.2%	(/.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)))
	43.07%	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 1 beta) 1))) (+.f64 alpha (+.f64 beta 3)))
	23.76%	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	43.63%	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	0.87%	(/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1))))
	11.77%	(/.f64 (+.f64 1 beta) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 beta)) (+.f64 3 beta)))
	50.46%	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (*.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha)))
	3.15%	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha)))))
✓	46.39%	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	94.92%	(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
▶	1.3%	(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
	51.22%	(/.f64 (.f64 1/2 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
	69.39%	(/.f64 alpha (*.f64 beta beta))
	47.94%	(/.f64 1 (*.f64 beta beta))
▶	97.66%	(/.f64 1 alpha)
	78.75%	(.f64 (/.f64 (+.f64 1 alpha) (-.f64 (.f64 (.f64 alpha (+.f64 2 (+.f64 alpha beta))) (.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta))) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))))) (-.f64 (.f64 alpha (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))))
	44.66%	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
▶	0.22%	(.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 899 to 628 computations (30.1% saved)

localize61.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2)))
✓	0.02%	(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))
✓	0.02%	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	0.21%	(.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 104 to 71 computations (31.7% saved)

series23.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite126.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`+-commutative`
472×	`associate-+l+`
456×	`add-sqr-sqrt`
444×	`pow1`
444×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	172
1	439	160
2	6843	160

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (.f64 (+.f64 1 beta) (+.f64 1 alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 1 beta) (+.f64 1 alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (+.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 1 beta) (+.f64 1 alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (/.f64 (.f64 (+.f64 1 beta) (+.f64 1 alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (sqrt.f64 (.f64 (/.f64 (+.f64 1 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simplify252.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1674×	`associate-/l*`
1364×	`+-commutative`
1260×	`associate-/r*`
1154×	`associate-+r+`
894×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	994	27553
1	3508	27287

Stop Event

1×	node limit

Counts

273 → 485

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 19 computations (32.1% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1140×	`*-commutative`
1070×	`associate-/r/`
948×	`associate-/l/`
582×	`distribute-lft-in`
562×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	226	25
2	3218	25

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1346×	`associate-/r*`
1322×	`distribute-lft-in`
1196×	`distribute-rgt-in`
1114×	`associate-/l/`
1048×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	4359
1	869	3945
2	3281	3933

Stop Event

1×	node limit

Counts

117 → 156

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.04%	(/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha)))
✓	0.15%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 49 to 32 computations (34.7% saved)

series55.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
50.0ms	beta	@	inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`swap-sqr`
676×	`distribute-lft-neg-in`
646×	`distribute-rgt-neg-in`
402×	`distribute-neg-frac`
350×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	314	56
2	4600	56

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

Outputs

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

simplify110.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

820×	`associate-r`
712×	`associate-l`
692×	`associate-/l*`
642×	`*-commutative`
636×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	508	9479
1	1672	8883

Stop Event

1×	node limit

Counts

147 → 258

Calls

Call 1

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

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

localize43.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.03%

(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))

✓

0.04%

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

✓

0.13%

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

Compiler

Compiled 94 to 60 computations (36.2% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite134.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`+-commutative`
512×	`add-sqr-sqrt`
496×	`pow1`
496×	`*-un-lft-identity`
480×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	153
1	492	153
2	7632	153

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

Inputs

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

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

Outputs

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

simplify202.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1542×	`associate-r`
1410×	`associate-l`
1140×	`+-commutative`
1114×	`associate-*r/`
858×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	885	24361
1	3149	24087

Stop Event

1×	node limit

Counts

219 → 411

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 1/2 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (.f64 1/2 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/4 (/.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 7 (.f64 2 alpha))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))))))
(/.f64 (+.f64 1 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 2 alpha))) (pow.f64 beta 3)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 7 (.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (.f64 2 alpha))))) (.f64 (+.f64 1 alpha) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 2 (+.f64 5 (.f64 2 alpha)))))) (pow.f64 beta 4))) (+.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 2 alpha))) (pow.f64 beta 3)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 2 (+.f64 5 (.f64 2 alpha)))) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (.f64 2 alpha))))) (+.f64 (.f64 2 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 -1 (.f64 (+.f64 7 (.f64 2 alpha)) (+.f64 (.f64 (+.f64 7 (.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (.f64 2 alpha))))) (.f64 (+.f64 1 alpha) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 2 (+.f64 5 (.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 7 (.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (.f64 2 alpha))))) (.f64 (+.f64 1 alpha) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 2 (+.f64 5 (.f64 2 alpha)))))) (pow.f64 beta 4))) (+.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 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 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 4 alpha)) (*.f64 -1 (+.f64 3 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 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha))))) (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (.f64 (+.f64 4 alpha) (+.f64 3 alpha)) (.f64 2 (+.f64 2 alpha))))) (pow.f64 beta 4))))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha))))) (+.f64 (.f64 (+.f64 4 alpha) (+.f64 3 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 beta 5)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha))) (+.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha))))) (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (.f64 (+.f64 4 alpha) (+.f64 3 alpha)) (.f64 2 (+.f64 2 alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha))))) (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (.f64 (+.f64 4 alpha) (+.f64 3 alpha)) (.f64 2 (+.f64 2 alpha))))) (pow.f64 beta 4))) (.f64 -2 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (pow.f64 beta 5)))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.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 1 alpha) beta)
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(/.f64 (+.f64 beta 1) (+.f64 beta 2))
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(/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 -1 alpha)))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (.f64 (.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (fma.f64 alpha alpha (-.f64 1 alpha))))
(/.f64 (.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (fma.f64 alpha alpha -1)) (.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 -1 alpha)))
(/.f64 (.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 1 (pow.f64 alpha 3))) (.f64 (+.f64 2 (+.f64 beta alpha)) (fma.f64 alpha alpha (-.f64 1 alpha))))
(/.f64 (.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))) (fma.f64 alpha alpha -1)) (+.f64 -1 alpha))
(/.f64 (.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))) (+.f64 1 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 1 alpha)))
(/.f64 (.f64 (+.f64 alpha 1) (-.f64 -1 beta)) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -2 beta))) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))
(/.f64 (.f64 (-.f64 -1 beta) (+.f64 alpha 1)) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -2 beta)) (+.f64 alpha 1)) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))
(/.f64 (.f64 (fma.f64 alpha alpha -1) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) (+.f64 -1 alpha))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) (fma.f64 alpha alpha (-.f64 1 alpha)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 alpha 1)) 1) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 alpha 1)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 alpha 1)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 alpha 1))) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))
(/.f64 (-.f64 (.f64 (.f64 alpha (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) (.f64 alpha (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))))) (pow.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))) 2)) (-.f64 (.f64 alpha (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))) 3) (pow.f64 (.f64 alpha (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) 3)) (+.f64 (.f64 (.f64 alpha (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) (.f64 alpha (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))))) (-.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))) 2) (.f64 (.f64 alpha (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))))))
(/.f64 (.f64 (-.f64 -1 beta) (fma.f64 alpha alpha -1)) (.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))) (+.f64 -1 alpha)))
(/.f64 (.f64 (-.f64 -1 beta) (+.f64 1 (pow.f64 alpha 3))) (.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))) (fma.f64 alpha alpha (-.f64 1 alpha))))
(/.f64 (.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -2 beta)) (fma.f64 alpha alpha -1)) (.f64 (+.f64 -2 (neg.f64 (+.f64 beta alpha))) (+.f64 -1 alpha)))
(/.f64 (.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -2 beta)) (+.f64 1 (pow.f64 alpha 3))) (.f64 (+.f64 -2 (neg.f64 (+.f64 beta alpha))) (fma.f64 alpha alpha (-.f64 1 alpha))))
(/.f64 (.f64 (fma.f64 alpha alpha -1) (-.f64 -1 beta)) (.f64 (+.f64 -1 alpha) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (.f64 (fma.f64 alpha alpha -1) (/.f64 (-.f64 -1 beta) (-.f64 -2 beta))) (.f64 (+.f64 -1 alpha) (+.f64 2 (+.f64 beta alpha))))
(/.f64 (.f64 (fma.f64 alpha alpha -1) 1) (.f64 (+.f64 -1 alpha) (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))))
(/.f64 (.f64 (fma.f64 alpha alpha -1) (/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -2 beta))) (.f64 (+.f64 -1 alpha) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (-.f64 -1 beta)) (.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (-.f64 -1 beta) (-.f64 -2 beta))) (.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) 1) (.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -2 beta))) (.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha 1))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha 1)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha 1)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha 1))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha 1)) (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha 1))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha 1))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))) 3) (pow.f64 (+.f64 alpha 1) 3)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha 1)))))
(exp.f64 (+.f64 (log1p.f64 alpha) (log.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))))))
(exp.f64 (.f64 (+.f64 (log1p.f64 alpha) (log.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha 1)))))
(fma.f64 alpha (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))) alpha (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))))) 1)
(-.f64 (/.f64 -1 (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))) (/.f64 beta (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))))
(-.f64 (/.f64 (/.f64 -1 (-.f64 -2 beta)) (+.f64 2 (+.f64 beta alpha))) (/.f64 (/.f64 beta (-.f64 -2 beta)) (+.f64 2 (+.f64 beta alpha))))
(.f64 (-.f64 -1 beta) (.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))))
(.f64 (-.f64 -1 beta) (/.f64 1 (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 1 (+.f64 2 (+.f64 beta alpha))))
(.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) 1))
(.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))) 1)
(.f64 1 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta))) (.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta))) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))))
(.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) (.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) 1))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta))) 2) (.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta))) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))))
(.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) 2) (.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) 1))
(*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)))
(*.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -2 beta)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (-.f64 -1 beta) 1) (/.f64 (/.f64 1 (-.f64 -2 beta)) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 2 (+.f64 beta alpha)))
(.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (+.f64 2 (+.f64 beta alpha))) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (-.f64 -2 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (+.f64 2 (+.f64 beta alpha))) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (-.f64 -2 beta)))
(*.f64 (/.f64 (-.f64 -1 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 1 (-.f64 -2 beta)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (/.f64 1 (-.f64 -2 beta)) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta))) 1) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta))) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta))) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta))) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta))) 2) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta))) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))))
(pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) -1)
(neg.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) 3) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta alpha))))))

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

eval1.3s (5.8%)

Compiler: Compiled 62618 to 45915 computations (26.7% saved)

prune496.0ms (2.2%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1300	10	1310
Fresh	5	13	18
Picked	1	0	1
Done	3	2	5
Total	1309	25	1334

Error

Counts

1334 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	47.38%	(pow.f64 beta -2)
	29.82%	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (.f64 beta alpha)) (/.f64 (.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	35.96%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓	36.02%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
	3.2%	(/.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)))
	43.07%	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 1 beta) 1))) (+.f64 alpha (+.f64 beta 3)))
▶	23.76%	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	43.63%	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
▶	0.86%	(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
▶	86.93%	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (+.f64 alpha (+.f64 beta 3)))
	44.59%	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	54.26%	(/.f64 (/.f64 (*.f64 1/2 (+.f64 1 alpha)) (+.f64 alpha 2)) (+.f64 alpha 3))
	39.04%	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
	10.33%	(/.f64 (-.f64 -1 beta) (.f64 (/.f64 (.f64 (+.f64 (+.f64 alpha 3) beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 alpha)) (-.f64 -2 beta)))
	11.77%	(/.f64 (+.f64 1 beta) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 beta)) (+.f64 3 beta)))
	50.46%	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (*.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha)))
	43.63%	(/.f64 (*.f64 (/.f64 1 beta) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
	36.02%	(/.f64 (*.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
	69.39%	(/.f64 alpha (*.f64 beta beta))
	88.5%	(/.f64 1 (+.f64 alpha (+.f64 beta 3)))
	47.94%	(/.f64 1 (*.f64 beta beta))
▶	97.66%	(/.f64 1/2 alpha)
	78.75%	(.f64 (/.f64 (+.f64 1 alpha) (-.f64 (.f64 (.f64 alpha (+.f64 2 (+.f64 alpha beta))) (.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta))) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))))) (-.f64 (.f64 alpha (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))))
▶	44.66%	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
✓	0.22%	(.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 888 to 629 computations (29.2% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2)))
✓	0.02%	(/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha))
✓	0.02%	(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))
✓	0.83%	(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 87 to 58 computations (33.3% saved)

series9.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite414.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`associate-+l+`
510×	`+-commutative`
440×	`add-sqr-sqrt`
430×	`pow1`
430×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	166
1	418	142
2	6786	142

Stop Event

1×	node limit

Counts

4 → 182

Calls

Call 1

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

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

simplify230.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1620×	`associate-r`
1590×	`associate-l`
1146×	`+-commutative`
912×	`associate-+r+`
820×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	907	22444
1	3137	21998

Stop Event

1×	node limit

Counts

278 → 489

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 (+.f64 1 alpha) beta)
✓	0.39%	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))

Compiler

Compiled 25 to 16 computations (36% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite80.0ms (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	32
1	197	32
2	2674	32

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

Outputs

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

simplify121.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1150×	`unswap-sqr`
676×	`associate-/r*`
668×	`associate-/l*`
660×	`associate-/l/`
570×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	6666
1	1347	5968
2	5894	5956

Stop Event

1×	node limit

Counts

228 → 276

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
✓	0.33%	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 40 to 27 computations (32.5% saved)

series8.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite150.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`associate-/r/`
1454×	`associate-/l/`
312×	`+-commutative`
300×	`add-sqr-sqrt`
294×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	284	56
2	4327	56

Stop Event

1×	node limit

Counts

2 → 152

Calls

Call 1

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

Outputs

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

simplify112.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

984×	`distribute-lft-in`
924×	`*-commutative`
894×	`distribute-rgt-in`
822×	`associate-/l*`
742×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	592	11054
1	1961	10742

Stop Event

1×	node limit

Counts

188 → 349

Calls

Call 1

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

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.03%

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

✓

0.13%

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

✓

5.81%

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

Compiler

Compiled 70 to 47 computations (32.9% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite128.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

474×	`+-commutative`
420×	`associate-+l+`
416×	`add-sqr-sqrt`
406×	`associate-+r+`
406×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	117
1	393	117
2	6182	117

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify159.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1446×	`distribute-lft-in`
1136×	`associate-r`
982×	`*-commutative`
948×	`+-commutative`
934×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	746	16895
1	2644	16317

Stop Event

1×	node limit

Counts

223 → 362

Calls

Call 1

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

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

eval1.3s (5.5%)

Compiler: Compiled 52036 to 37741 computations (27.5% saved)

prune515.0ms (2.2%)

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	1463	13	1476
Fresh	4	14	18
Picked	1	0	1
Done	1	5	6
Total	1469	32	1501

Error

Counts

1501 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	47.38%	(pow.f64 beta -2)
	29.82%	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (.f64 beta alpha)) (/.f64 (.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	2.01%	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
	35.96%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓	36.02%	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
	3.2%	(/.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)))
	43.07%	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 1 beta) 1))) (+.f64 alpha (+.f64 beta 3)))
	43.63%	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
✓	0.86%	(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
	67.53%	(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (*.f64 (+.f64 1 (neg.f64 (/.f64 (-.f64 -1 beta) alpha))) (+.f64 beta (+.f64 alpha 2))))
✓	86.93%	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (+.f64 alpha (+.f64 beta 3)))
	44.59%	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	54.26%	(/.f64 (/.f64 (*.f64 1/2 (+.f64 1 alpha)) (+.f64 alpha 2)) (+.f64 alpha 3))
	39.04%	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
	44.57%	(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
	24.11%	(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
	87.23%	(/.f64 (+.f64 (*.f64 2/9 alpha) 1/3) (+.f64 alpha (+.f64 beta 3)))
	11.77%	(/.f64 (+.f64 1 beta) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 beta)) (+.f64 3 beta)))
	23.77%	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (+.f64 beta 2) alpha) (.f64 (+.f64 2 alpha) (+.f64 alpha (+.f64 beta 3)))))
	86.93%	(/.f64 (*.f64 (/.f64 1 (-.f64 -3 alpha)) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
	43.63%	(/.f64 (*.f64 (/.f64 1 beta) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
	69.39%	(/.f64 alpha (*.f64 beta beta))
	45.35%	(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
	47.94%	(/.f64 1 (*.f64 beta beta))
	94.85%	(/.f64 1 (*.f64 alpha alpha))
	24.46%	(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
✓	97.66%	(/.f64 1/2 alpha)
	86.96%	(/.f64 1/3 (+.f64 beta 3))
	78.75%	(.f64 (/.f64 (+.f64 1 alpha) (-.f64 (.f64 (.f64 alpha (+.f64 2 (+.f64 alpha beta))) (.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta))) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))))) (-.f64 (.f64 alpha (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))))
	67.9%	(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
✓	0.22%	(.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
	47.57%	(*.f64 (/.f64 1 beta) (/.f64 1 beta))

Compiler

Compiled 541 to 387 computations (28.5% saved)

regimes96.0ms (0.4%)

Counts

64 → 1

Calls

Call 1

Inputs
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/3 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (+.f64 alpha (+.f64 beta 3)))
(/.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 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha)
(/.f64 (+.f64 (*.f64 2/9 alpha) 1/3) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (.f64 1/2 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (*.f64 (/.f64 1 beta) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (*.f64 1/2 (+.f64 1 alpha)) (+.f64 alpha 2)) (+.f64 alpha 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 1 (-.f64 -3 alpha)) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 beta) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 beta)) (+.f64 3 beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (*.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (+.f64 beta 2) alpha) (.f64 (+.f64 2 alpha) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 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 1 beta) 1))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
(/.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 -1 beta) (.f64 (/.f64 (.f64 (+.f64 (+.f64 alpha 3) beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 alpha)) (-.f64 -2 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 beta 1) (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (*.f64 (+.f64 1 (neg.f64 (/.f64 (-.f64 -1 beta) alpha))) (+.f64 beta (+.f64 alpha 2))))
(*.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 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1))))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 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 -1 alpha) (/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 1 alpha)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (+.f64 alpha (+.f64 beta 3)))
(/.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 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (.f64 beta alpha)) (/.f64 (.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (+.f64 1 alpha) (-.f64 (.f64 (.f64 alpha (+.f64 2 (+.f64 alpha beta))) (.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta))) (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))))) (-.f64 (.f64 alpha (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 beta -2)
(.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
(/.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)))))
(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 (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)))) (+.f64 alpha (+.f64 beta 3)))

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:

29.0ms

alpha

28.0ms

beta

15.0ms

(/.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
0.17%	1	`alpha`
0.17%	1	`beta`
0.17%	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 1148 to 758 computations (34% saved)

regimes54.0ms (0.2%)

Counts

44 → 1

Calls

Call 1

Inputs
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/3 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (+.f64 alpha (+.f64 beta 3)))
(/.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 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha)
(/.f64 (+.f64 (*.f64 2/9 alpha) 1/3) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (.f64 1/2 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (*.f64 (/.f64 1 beta) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (*.f64 1/2 (+.f64 1 alpha)) (+.f64 alpha 2)) (+.f64 alpha 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 1 (-.f64 -3 alpha)) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 beta) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 beta)) (+.f64 3 beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (*.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (+.f64 beta 2) alpha) (.f64 (+.f64 2 alpha) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 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 1 beta) 1))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
(/.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 -1 beta) (.f64 (/.f64 (.f64 (+.f64 (+.f64 alpha 3) beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 alpha)) (-.f64 -2 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 beta 1) (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (*.f64 (+.f64 1 (neg.f64 (/.f64 (-.f64 -1 beta) alpha))) (+.f64 beta (+.f64 alpha 2))))

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

Calls

2 calls:

19.0ms	beta
19.0ms	alpha

Results

Error	Segments	Branch
1.3%	1	`alpha`
1.3%	1	`beta`

Compiler

Compiled 565 to 384 computations (32% saved)

regimes87.0ms (0.4%)

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

44.0ms	alpha
33.0ms	beta

Results

Error	Segments	Branch
1.89%	2	`alpha`
1.14%	2	`beta`

Compiler

Compiled 426 to 289 computations (32.2% saved)

bsearch25.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.013268555410222843	11777.60906245916

Results

22.0ms

144×

body

256

valid

Compiler

Compiled 420 to 316 computations (24.8% saved)

regimes119.0ms (0.5%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

2 calls:

78.0ms	beta
29.0ms	alpha

Results

Error	Segments	Branch
7.69%	2	`alpha`
1.28%	2	`beta`

Compiler

Compiled 329 to 221 computations (32.8% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1455856.2689501347	252547972273.21054

Results

22.0ms

144×

body

256

valid

Compiler

Compiled 384 to 289 computations (24.7% saved)

regimes145.0ms (0.6%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

2 calls:

111.0ms	beta
27.0ms	alpha

Results

Error	Segments	Branch
7.78%	2	`alpha`
1.37%	2	`beta`

Compiler

Compiled 312 to 209 computations (33% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1455856.2689501347	252547972273.21054

Results

22.0ms

144×

body

256

valid

Compiler

Compiled 384 to 289 computations (24.7% saved)

regimes73.0ms (0.3%)

Counts

31 → 2

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	alpha
27.0ms	beta

Results

Error	Segments	Branch
7.78%	2	`alpha`
1.37%	2	`beta`

Compiler

Compiled 295 to 197 computations (33.2% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1455856.2689501347	252547972273.21054

Results

19.0ms

144×

body

256

valid

Compiler

Compiled 366 to 271 computations (26% saved)

regimes95.0ms (0.4%)

Counts

30 → 2

Calls

Call 1

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

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

Calls

2 calls:

54.0ms	alpha
26.0ms	beta

Results

Error	Segments	Branch
8.01%	2	`alpha`
1.39%	2	`beta`

Compiler

Compiled 280 to 187 computations (33.2% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	13841517111884032.0	163179967249498020.0

Results

14.0ms

96×

body

256

valid

Compiler

Compiled 222 to 166 computations (25.2% saved)

regimes95.0ms (0.4%)

Counts

29 → 2

Calls

Call 1

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

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

Calls

2 calls:

64.0ms	beta
23.0ms	alpha

Results

Error	Segments	Branch
17.72%	2	`alpha`
1.99%	2	`beta`

Compiler

Compiled 265 to 176 computations (33.6% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.013268555410222843	11777.60906245916

Results

19.0ms

144×

body

256

valid

Compiler

Compiled 312 to 235 computations (24.7% saved)

regimes55.0ms (0.2%)

Counts

24 → 2

Calls

Call 1

Inputs
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/3 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (+.f64 alpha (+.f64 beta 3)))
(/.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 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha)
(/.f64 (+.f64 (*.f64 2/9 alpha) 1/3) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (.f64 1/2 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))

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

Calls

2 calls:

27.0ms	beta
23.0ms	alpha

Results

Error	Segments	Branch
17.72%	2	`alpha`
2%	2	`beta`

Compiler

Compiled 196 to 127 computations (35.2% saved)

bsearch71.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
71.0ms	0.013268555410222843	11777.60906245916

Results

69.0ms

144×

body

256

valid

Compiler

Compiled 294 to 217 computations (26.2% saved)

regimes84.0ms (0.4%)

Counts

21 → 2

Calls

Call 1

Inputs
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/3 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (+.f64 alpha (+.f64 beta 3)))
(/.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 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha)
(/.f64 (+.f64 (*.f64 2/9 alpha) 1/3) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))

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

Calls

2 calls:

56.0ms	alpha
23.0ms	beta

Results

Error	Segments	Branch
17.73%	2	`alpha`
2.02%	2	`beta`

Compiler

Compiled 161 to 103 computations (36% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.013268555410222843	11777.60906245916

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 276 to 208 computations (24.6% saved)

regimes58.0ms (0.3%)

Counts

19 → 2

Calls

Call 1

Inputs
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/3 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (+.f64 alpha (+.f64 beta 3)))
(/.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 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha)
(/.f64 (+.f64 (*.f64 2/9 alpha) 1/3) (+.f64 alpha (+.f64 beta 3)))

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

Calls

2 calls:

36.0ms	alpha
19.0ms	beta

Results

Error	Segments	Branch
18.08%	2	`alpha`
2.35%	2	`beta`

Compiler

Compiled 139 to 87 computations (37.4% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.013268555410222843	11777.60906245916

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 258 to 199 computations (22.9% saved)

regimes53.0ms (0.2%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	alpha
15.0ms	beta

Results

Error	Segments	Branch
18.09%	2	`alpha`
2.37%	2	`beta`

Compiler

Compiled 110 to 67 computations (39.1% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.013268555410222843	11777.60906245916

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 240 to 181 computations (24.6% saved)

regimes31.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	beta
7.0ms	alpha

Results

Error	Segments	Branch
44.59%	1	`alpha`
36.51%	2	`beta`

Compiler

Compiled 92 to 54 computations (41.3% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.013268555410222843	11777.60906245916

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 204 to 154 computations (24.5% saved)

regimes22.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	beta
7.0ms	alpha

Results

Error	Segments	Branch
46.39%	1	`alpha`
38.31%	2	`beta`

Compiler

Compiled 76 to 44 computations (42.1% saved)

bsearch83.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
83.0ms	0.013268555410222843	11777.60906245916

Results

81.0ms

144×

body

256

valid

Compiler

Compiled 204 to 154 computations (24.5% saved)

regimes25.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
45.43%	2	`alpha`
39.48%	2	`beta`

Compiler

Compiled 62 to 38 computations (38.7% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.013268555410222843	11777.60906245916

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 204 to 163 computations (20.1% saved)

regimes77.0ms (0.3%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

71.0ms	beta
4.0ms	alpha

Results

Error	Segments	Branch
47.94%	1	`alpha`
39.85%	2	`beta`

Compiler

Compiled 34 to 21 computations (38.2% saved)

bsearch51.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	0.013268555410222843	11777.60906245916

Results

49.0ms

144×

body

256

valid

Compiler

Compiled 186 to 145 computations (22% saved)

regimes18.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	beta
7.0ms	alpha

Results

Error	Segments	Branch
84.02%	2	`alpha`
84.76%	2	`beta`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch66.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
66.0ms	4.384186708403211e+94	2.9048741387413514e+125

Results

64.0ms

176×

body

256

valid

Compiler

Compiled 218 to 171 computations (21.6% saved)

regimes7.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	beta
3.0ms	alpha

Results

Error	Segments	Branch
86.96%	1	`alpha`
86.96%	1	`beta`

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes7.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 1/2 alpha)

Calls

2 calls:

4.0ms	beta
3.0ms	alpha

Results

Error	Segments	Branch
97.66%	1	`alpha`
97.66%	1	`beta`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify28.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`+-commutative`
26×	`*-commutative`
12×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1165
1	155	1165
2	165	1165
3	173	1165
4	177	1165
5	178	1165

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 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 3/4) (/.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 29000000) (/.f64 (+.f64 1 beta) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 beta)) (+.f64 3 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 62000000) (/.f64 (+.f64 1 beta) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 beta)) (+.f64 3 beta))) (/.f64 (*.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 43000000) (/.f64 (+.f64 1 beta) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 beta)) (+.f64 3 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 14000000000000000) (/.f64 (+.f64 1 beta) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 beta)) (+.f64 3 beta))) (/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha))))
(if (<=.f64 beta 5) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (*.f64 (/.f64 1 beta) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 9/2) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 21/2) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha))))
(if (<=.f64 beta 9) (/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha))))
(if (<=.f64 beta 2589569785738035/281474976710656) (/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 5) (/.f64 1/3 (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 2871044762448691/562949953421312) (/.f64 1/3 (+.f64 beta 3)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 5404319552844595/1125899906842624) (/.f64 1/3 (+.f64 beta 3)) (*.f64 (/.f64 1 beta) (/.f64 1 beta)))
(if (<=.f64 beta 5404319552844595/1125899906842624) (/.f64 1/3 (+.f64 beta 3)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 alpha 44999999999999997204502705127899360931652814266633047046560449228862130962274705667921253761024) (/.f64 1/3 (+.f64 beta 3)) (/.f64 1 (*.f64 alpha alpha)))
(/.f64 1/3 (+.f64 beta 3))
(/.f64 1/2 alpha)

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 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 3/4) (/.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 3 alpha))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3/4) (/.f64 (+.f64 alpha 1) (.f64 (+.f64 (.f64 alpha (+.f64 alpha 2)) (.f64 2 (+.f64 alpha 2))) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 29000000) (/.f64 (+.f64 1 beta) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 beta)) (+.f64 3 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 29000000) (/.f64 (+.f64 1 beta) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 62000000) (/.f64 (+.f64 1 beta) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 beta)) (+.f64 3 beta))) (/.f64 (*.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 62000000) (/.f64 (+.f64 1 beta) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 43000000) (/.f64 (+.f64 1 beta) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 beta)) (+.f64 3 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 43000000) (/.f64 (+.f64 1 beta) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 14000000000000000) (/.f64 (+.f64 1 beta) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 beta)) (+.f64 3 beta))) (/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha))))
(if (<=.f64 beta 14000000000000000) (/.f64 (+.f64 1 beta) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) (+.f64 beta 2)))) (/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 alpha 1))))
(if (<=.f64 beta 5) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (*.f64 (/.f64 1 beta) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 1 beta)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 9/2) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 21/2) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha))))
(if (<=.f64 beta 21/2) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 alpha 1))))
(if (<=.f64 beta 9) (/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha))))
(if (<=.f64 beta 9) (/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 alpha 1))))
(if (<=.f64 beta 2589569785738035/281474976710656) (/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 2589569785738035/281474976710656) (/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 5) (/.f64 1/3 (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 5) (/.f64 1/3 (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 2871044762448691/562949953421312) (/.f64 1/3 (+.f64 beta 3)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 2871044762448691/562949953421312) (/.f64 1/3 (+.f64 beta 3)) (/.f64 (+.f64 alpha 1) (*.f64 beta beta)))
(if (<=.f64 beta 5404319552844595/1125899906842624) (/.f64 1/3 (+.f64 beta 3)) (*.f64 (/.f64 1 beta) (/.f64 1 beta)))
(if (<=.f64 beta 5404319552844595/1125899906842624) (/.f64 1/3 (+.f64 beta 3)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 alpha 44999999999999997204502705127899360931652814266633047046560449228862130962274705667921253761024) (/.f64 1/3 (+.f64 beta 3)) (/.f64 1 (*.f64 alpha alpha)))
(/.f64 1/3 (+.f64 beta 3))
(/.f64 1/2 alpha)

Compiler

Compiled 464 to 341 computations (26.5% saved)

soundness802.0ms (3.5%)

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)

end673.0ms (2.9%)

Compiler: Compiled 482 to 341 computations (29.3% saved)