Details

analyze55.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.5s (7.5%)

Results

1.5s

8256×

body

256

valid

Bogosity

preprocess350.0ms (1.7%)

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)

simplify628.0ms (3.1%)

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)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	6	3	9
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	7	3	10

Error

0.1b

Counts

10 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.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)))
▶	6.9b	(/.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))))
▶	11.5b	(/.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)))

Status

Error

Program

▶

0.1b

(/.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)))

▶

6.9b

(/.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))))

▶

11.5b

(/.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)))

Compiler

Compiled 82 to 55 computations (32.9% saved)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
✓	0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3)))
✓	0.0b	(.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2))
✓	11.4b	(/.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)))

Compiler

Compiled 95 to 51 computations (46.3% saved)

series21.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	beta	@	-inf	(/.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)))
3.0ms	alpha	@	0	(/.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)))
2.0ms	beta	@	0	(/.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)))
2.0ms	alpha	@	-inf	(/.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)))
2.0ms	beta	@	inf	(/.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)))

rewrite154.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`associate-+l+`
612×	`+-commutative`
524×	`associate-+r+`
458×	`add-sqr-sqrt`
448×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	176
1	432	152
2	6775	152

Stop Event

1×	node limit

Counts

4 → 216

Calls

Call 1

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

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

simplify177.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1530×	`associate-r`
1390×	`associate-l`
1218×	`+-commutative`
1040×	`*-commutative`
742×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	863	23450
1	3018	22824

Stop Event

1×	node limit

Counts

312 → 472

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

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	3.5b	(/.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))))
✓	5.2b	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 85 to 53 computations (37.6% saved)

series14.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite122.0ms (0.6%)

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	136
1	419	136
2	6742	136

Stop Event

1×	node limit

Counts

4 → 217

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

simplify186.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1354×	`+-commutative`
1294×	`associate-r`
1142×	`associate-l`
1022×	`*-commutative`
966×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	951	22563
1	3214	21831

Stop Event

1×	node limit

Counts

313 → 487

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

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))
✓	0.0b	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
✓	0.1b	(/.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)

series14.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite162.0ms (0.8%)

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) 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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))))))))

simplify280.0ms (1.4%)

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

eval1.7s (8.5%)

Compiler: Compiled 72292 to 50996 computations (29.5% saved)

prune458.0ms (2.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	1449	20	1469
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	1452	20	1472

Error

0.0b

Counts

1472 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	5.6b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	62.6b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
▶	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	23.3b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	1.0b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
	14.5b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	0.1b	(/.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)))
	28.5b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	0.1b	(/.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)))
	6.9b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (+.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta alpha) (+.f64 beta 2))) (.f64 2 (+.f64 beta 2))))
	6.9b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
	9.3b	(/.f64 (+.f64 beta 1) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
	61.3b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
▶	27.9b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	15.6b	(/.f64 (+.f64 1 alpha) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
▶	32.3b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	3.2b	(.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
	37.9b	(.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)))))
▶	0.4b	(.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))))
	6.7b	(.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))))

Compiler

Compiled 940 to 658 computations (30% saved)

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))
✓	0.0b	(/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))))
✓	0.0b	(/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 104 to 60 computations (42.3% saved)

series13.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite123.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`+-commutative`
516×	`add-sqr-sqrt`
500×	`pow1`
500×	`*-un-lft-identity`
484×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	196
1	495	196
2	7801	196

Stop Event

1×	node limit

Counts

4 → 178

Calls

Call 1

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

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

simplify235.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1494×	`associate-r`
1412×	`associate-l`
1356×	`+-commutative`
1124×	`associate-+r+`
792×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	973	28074
1	3416	27838

Stop Event

1×	node limit

Counts

274 → 517

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

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.5b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Compiler

Compiled 18 to 9 computations (50% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	-inf	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.0ms	beta	@	0	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.0ms	alpha	@	0	(/.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))

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 51

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	3.5b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 43 to 28 computations (34.9% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite125.0ms (0.6%)

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))))))))

simplify106.0ms (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)))))))))
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(.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (+.f64 (-.f64 alpha beta) -2))))
(.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (+.f64 alpha (-.f64 -2 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 (pow.f64 (.f64 alpha (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) 3))) (+.f64 (.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (-.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (.f64 alpha (.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (fma.f64 alpha (.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) alpha) (.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 2)) (+.f64 beta (-.f64 2 alpha)))))
(.f64 (/.f64 (+.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 (-.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 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 (-.f64 alpha beta) -2) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(.f64 (/.f64 (+.f64 1 alpha) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 alpha (-.f64 -2 beta)) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(.f64 (/.f64 (+.f64 1 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 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 (-.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 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 (-.f64 alpha beta) -2) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(.f64 (/.f64 (+.f64 1 alpha) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 alpha (-.f64 -2 beta)) (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 1 alpha) (+.f64 2 (+.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha))) (+.f64 beta (-.f64 2 alpha)))
(.f64 (+.f64 beta (-.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (/.f64 (-.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 1 alpha) (.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -4) (+.f64 2 (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta -2)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -4) (+.f64 beta (+.f64 alpha -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 1 alpha) (.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 2 (+.f64 beta alpha)))) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (-.f64 4 (*.f64 2 (+.f64 beta alpha)))))
(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) 4) (.f64 -2 (+.f64 beta alpha)))) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))
(.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 1 alpha) (.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha))) (+.f64 (neg.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 alpha) (+.f64 2 (+.f64 beta alpha))) (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))))))
(neg.f64 (.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 (neg.f64 (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 3))))))
(.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 1 alpha) (/.f64 (-.f64 1 (.f64 alpha alpha)) (/.f64 (-.f64 1 (*.f64 alpha alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))))
(/.f64 (.f64 (-.f64 1 (.f64 alpha alpha)) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (-.f64 1 (*.f64 alpha 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 (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2) (-.f64 1 (.f64 alpha alpha))) (+.f64 1 (+.f64 alpha (.f64 alpha alpha)))) (-.f64 1 (pow.f64 alpha 3)))
(/.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (-.f64 1 (.f64 alpha alpha))) (/.f64 (-.f64 1 (pow.f64 alpha 3)) (+.f64 1 (fma.f64 alpha 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 1 (pow.f64 alpha 3)) (/.f64 (-.f64 1 (.f64 (-.f64 (.f64 alpha alpha) alpha) (-.f64 (.f64 alpha alpha) alpha))) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))) (+.f64 alpha (-.f64 1 (*.f64 alpha alpha))))
(.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (-.f64 1 (*.f64 (fma.f64 alpha alpha (neg.f64 alpha)) (fma.f64 alpha alpha (neg.f64 alpha))))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (-.f64 1 (fma.f64 alpha alpha (neg.f64 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 (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2) (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (-.f64 (.f64 (-.f64 (.f64 alpha alpha) alpha) (-.f64 (.f64 alpha alpha) alpha)) (-.f64 (.f64 alpha alpha) alpha)))) (+.f64 1 (pow.f64 (-.f64 (*.f64 alpha alpha) alpha) 3)))
(.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 1 (pow.f64 (fma.f64 alpha alpha (neg.f64 alpha)) 3))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (+.f64 1 (+.f64 alpha (-.f64 (.f64 (fma.f64 alpha alpha (neg.f64 alpha)) (fma.f64 alpha alpha (neg.f64 alpha))) (.f64 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 1 alpha) (+.f64 2 (+.f64 beta alpha))) (.f64 (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (hypot.f64 (pow.f64 (+.f64 beta 2) 3/2) (pow.f64 alpha 3/2))) (+.f64 beta (+.f64 2 alpha)))) (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 1 alpha) (+.f64 2 (+.f64 beta alpha))) (.f64 (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (sqrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))) (sqrt.f64 (+.f64 (-.f64 alpha beta) -2)))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (sqrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))) (sqrt.f64 (+.f64 alpha (-.f64 -2 beta))))
(.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 1 alpha) (.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2) (+.f64 2 (+.f64 beta alpha)))) (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 1 alpha) (.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (+.f64 beta (+.f64 2 alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)))) (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))))
(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2) (+.f64 2 (+.f64 beta alpha)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (cbrt.f64 (+.f64 (-.f64 alpha beta) -2)))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (cbrt.f64 (+.f64 alpha (-.f64 -2 beta))))
(pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 1)
(*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.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))
(pow.f64 (cbrt.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))
(pow.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 3) 1/3)
(*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 alpha)) -1)
(*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(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))

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.0b

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

0.0b

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

✓

0.3b

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

Compiler

Compiled 75 to 42 computations (44% saved)

series8.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite126.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`associate-/r/`
498×	`associate-+l+`
472×	`+-commutative`
408×	`associate-+r+`
380×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	61
1	362	49
2	5632	49

Stop Event

1×	node limit

Counts

1 → 101

Calls

Call 1

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

Outputs

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simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1628×	`distribute-lft-in`
1060×	`*-commutative`
888×	`associate-r`
778×	`associate-l`
738×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	595	16163
1	2361	15931

Stop Event

1×	node limit

Counts

125 → 243

Calls

Call 1

Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (.f64 alpha (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 4 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (.f64 2 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 7 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 4 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (.f64 2 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 2))) (+.f64 (.f64 alpha (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 4 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (.f64 2 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 7 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 4 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (.f64 2 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 2))) (+.f64 (.f64 alpha (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 4 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (.f64 2 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta)))) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 4 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (.f64 2 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 7 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 (.f64 (+.f64 beta (+.f64 7 (.f64 2 beta))) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 4 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (.f64 2 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (.f64 -1 (.f64 (+.f64 beta (+.f64 7 (.f64 2 beta))) (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 6 (.f64 2 beta))) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 5))))))
(/.f64 1 (pow.f64 alpha 2))
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(.f64 (/.f64 (.f64 (-.f64 1 (.f64 alpha alpha)) (/.f64 1 (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (-.f64 1 (*.f64 alpha alpha))) (+.f64 1 alpha))
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(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (-.f64 1 (.f64 (fma.f64 alpha alpha (neg.f64 alpha)) (fma.f64 alpha alpha (neg.f64 alpha))))) (-.f64 1 (fma.f64 alpha alpha (neg.f64 alpha))))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (+.f64 1 (pow.f64 (fma.f64 alpha alpha (neg.f64 alpha)) 3))) (+.f64 1 (+.f64 (-.f64 (.f64 (fma.f64 alpha alpha (neg.f64 alpha)) (fma.f64 alpha alpha (neg.f64 alpha))) (*.f64 alpha alpha)) alpha)))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) 1) (.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (+.f64 alpha (-.f64 beta 2)))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) 1) (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) 1) (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))))) (+.f64 alpha (-.f64 beta 2)))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) 1) (.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) 1) (-.f64 (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))))) (.f64 (.f64 2 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (.f64 2 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))))))) (-.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (.f64 2 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) 1) (+.f64 (pow.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) 3) (pow.f64 (.f64 2 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) 3))) (+.f64 (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))))) (-.f64 (.f64 (.f64 2 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (.f64 2 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))))) (.f64 (.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (.f64 2 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))))))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)))) (-.f64 beta (+.f64 alpha 3)))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (+.f64 alpha (-.f64 3 beta)))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (+.f64 alpha (-.f64 beta 2)))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 beta (+.f64 alpha 3)))) (+.f64 alpha (-.f64 beta 2)))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 beta (+.f64 alpha 3)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 alpha (+.f64 beta 2)))) (-.f64 beta (+.f64 alpha 3)))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (+.f64 alpha (-.f64 3 beta)))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (-.f64 (.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 beta (+.f64 alpha (+.f64 beta 2)))) (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 3))))) (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 3))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 3)) 3))) (+.f64 (.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 3))) (.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 3))))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)))) (.f64 (+.f64 alpha (-.f64 beta 2)) (-.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)))) (.f64 (+.f64 alpha (-.f64 beta 2)) (fma.f64 beta beta (.f64 (+.f64 alpha 3) (+.f64 alpha (-.f64 3 beta))))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)))) (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))) (-.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)))) (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (.f64 (+.f64 alpha beta) 2))) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (+.f64 alpha (-.f64 3 beta))))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (.f64 (-.f64 beta (+.f64 alpha 3)) (+.f64 alpha (-.f64 beta 2))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (.f64 (-.f64 beta (+.f64 alpha 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2)))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 3) (+.f64 alpha (-.f64 3 beta)))) (+.f64 alpha (-.f64 beta 2))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 3) (+.f64 alpha (-.f64 3 beta)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) 1) 1) (/.f64 (+.f64 alpha (-.f64 beta 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) 1) 1) (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) 1) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (-.f64 beta 2)))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) 1) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) 1) (-.f64 (.f64 alpha alpha) (.f64 (+.f64 beta 2) (+.f64 beta 2)))) (-.f64 alpha (+.f64 beta 2)))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) 1) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) 1) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (.f64 alpha alpha) (-.f64 (.f64 (+.f64 beta 2) (+.f64 beta 2)) (*.f64 alpha (+.f64 beta 2)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (neg.f64 (+.f64 alpha (-.f64 beta 2))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) 1) (neg.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (sqrt.f64 (+.f64 alpha (-.f64 beta 2))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (cbrt.f64 (+.f64 alpha (-.f64 beta 2))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2)))))
(pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 3) 1/3)
(pow.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 alpha)) -1)
(neg.f64 (/.f64 (+.f64 1 alpha) (neg.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))

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

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))
✓	0.0b	(*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))
✓	0.1b	(.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))))
✓	18.1b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))

Compiler

Compiled 106 to 72 computations (32.1% saved)

series23.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite127.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

480×	`+-commutative`
460×	`add-sqr-sqrt`
458×	`associate-+l+`
448×	`pow1`
448×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	196
1	440	184
2	6934	184

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

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

simplify277.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1752×	`associate-r`
1464×	`+-commutative`
1178×	`associate-+r+`
856×	`associate-+l+`
796×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1017	28801
1	3715	28285

Stop Event

1×	node limit

Counts

283 → 514

Calls

Call 1

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

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

eval1.9s (9.5%)

Compiler: Compiled 87325 to 62444 computations (28.5% saved)

prune790.0ms (3.9%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1866	17	1883
Fresh	7	8	15
Picked	1	0	1
Done	1	3	4
Total	1875	28	1903

Error

Counts

1903 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	33.4b	(pow.f64 beta -2)
▶	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
	5.6b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	62.6b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	23.3b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 1 (-.f64 -1 beta))))) (+.f64 alpha (+.f64 beta 3)))
▶	1.0b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
	14.5b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
▶	28.5b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	6.9b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
	9.3b	(/.f64 (+.f64 beta 1) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
	15.8b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)) (+.f64 (+.f64 alpha beta) 2)))
✓	27.9b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	30.1b	(/.f64 (+.f64 1 alpha) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
	42.8b	(/.f64 (+.f64 1 alpha) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
	58.6b	(/.f64 (+.f64 1 alpha) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha beta) 2)))
✓	32.3b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	61.0b	(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
	42.5b	(/.f64 alpha (*.f64 beta beta))
	33.6b	(/.f64 1 (*.f64 beta beta))
	60.9b	(/.f64 1 (*.f64 alpha alpha))
▶	62.4b	(/.f64 1 alpha)
▶	5.4b	(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
	28.7b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 beta (+.f64 1 alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
	52.8b	(.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)))))
	29.1b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	15.6b	(.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 1015 to 704 computations (30.6% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))
✓	0.0b	(/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))
✓	0.0b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha)))
✓	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))

Compiler

Compiled 87 to 51 computations (41.4% saved)

series9.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite118.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	166
1	417	142
2	6687	142

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (.f64 alpha (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1) (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) alpha) (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 alpha (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 beta 1) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 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simplify187.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1658×	`associate-r`
1462×	`associate-l`
1180×	`+-commutative`
996×	`associate-*r/`
960×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	931	22781
1	3219	22373

Stop Event

1×	node limit

Counts

263 → 481

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

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

localize3.0ms (0%)

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 alpha 1) beta)
✓	0.2b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`associate-/r/`
1316×	`distribute-lft-in`
1242×	`associate-/l/`
270×	`add-sqr-sqrt`
264×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	257	44
2	3848	44

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs

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

simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1186×	`+-commutative`
1052×	`associate-+r+`
752×	`associate-/l*`
658×	`associate-r`
638×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	475	8129
1	1490	7483
2	7480	7483

Stop Event

1×	node limit

Counts

173 → 241

Calls

Call 1

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

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta))
✓	0.0b	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	0.0b	(/.f64 (+.f64 1 beta) (+.f64 3 beta))
✓	0.1b	(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 68 to 48 computations (29.4% saved)

series7.0ms (0%)

Counts

4 → 72

Calls

18 calls:

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

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`distribute-lft-neg-in`
404×	`add-sqr-sqrt`
392×	`pow1`
392×	`*-un-lft-identity`
392×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	118
1	388	118
2	5945	118

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

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

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

simplify110.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1010×	`associate-/l*`
842×	`associate-r`
728×	`*-commutative`
692×	`distribute-lft-in`
692×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	652	12365
1	1952	11987

Stop Event

1×	node limit

Counts

241 → 392

Calls

Call 1

Inputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 6 (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (.f64 -1 (-.f64 (.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (.f64 -1 (-.f64 (.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (.f64 -6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 7 alpha))) (-.f64 (.f64 -5 (+.f64 2 alpha)) 6)) (pow.f64 beta 5)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 7 alpha) (+.f64 1 (.f64 -1 (+.f64 7 alpha)))) (.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (+.f64 7 alpha)) (pow.f64 beta 5))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (/.f64 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (/.f64 beta (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (/.f64 beta (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))
1/3
(+.f64 (*.f64 2/9 beta) 1/3)
(+.f64 (.f64 -2/27 (pow.f64 beta 2)) (+.f64 (.f64 2/9 beta) 1/3))
(+.f64 (.f64 -2/27 (pow.f64 beta 2)) (+.f64 (.f64 2/9 beta) (+.f64 1/3 (*.f64 2/81 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
1/6
(+.f64 1/6 (*.f64 1/36 beta))
(+.f64 (.f64 -11/216 (pow.f64 beta 2)) (+.f64 1/6 (.f64 1/36 beta)))
(+.f64 (.f64 -11/216 (pow.f64 beta 2)) (+.f64 1/6 (+.f64 (.f64 49/1296 (pow.f64 beta 3)) (*.f64 1/36 beta))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (.f64 4 (/.f64 1 (pow.f64 beta 2))))
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(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (+.f64 beta 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 1 beta))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (-.f64 -2 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) 3) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(exp.f64 (.f64 (-.f64 (log1p.f64 beta) (log.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha)))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))))) (.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha))) (.f64 beta (.f64 beta (fma.f64 1/6 (.f64 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (+.f64 2 alpha)) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha)))) (/.f64 (+.f64 (*.f64 1/36 alpha) 7/36) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(fma.f64 -1 (.f64 (pow.f64 beta 3) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (+.f64 alpha 7))) (+.f64 (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/6 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))))) (.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))))))))) (fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))))) (.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))))
(-.f64 (-.f64 (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha))) (.f64 beta (.f64 beta (fma.f64 1/6 (.f64 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (+.f64 2 alpha)) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha)))) (/.f64 (+.f64 (.f64 1/36 alpha) 7/36) (pow.f64 (+.f64 2 alpha) 2)))))) (.f64 (pow.f64 beta 3) (fma.f64 1/6 (.f64 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (+.f64 2 alpha)) (+.f64 alpha 7)) (+.f64 (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (.f64 -1/6 (fma.f64 1/6 (.f64 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (+.f64 2 alpha)) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha)))) (/.f64 (+.f64 (.f64 1/36 alpha) 7/36) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha)))))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))
(-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (neg.f64 (/.f64 (fma.f64 -1 (.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (*.f64 alpha 2)))) (pow.f64 beta 4)))))
(-.f64 (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (/.f64 (-.f64 (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (.f64 2 alpha))) (.f64 (+.f64 alpha 7) (+.f64 alpha 6))) (pow.f64 beta 4)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 6 (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4))))))
(+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (.f64 -1 (+.f64 (/.f64 (fma.f64 6 (+.f64 2 alpha) (.f64 -1 (+.f64 (.f64 (+.f64 alpha 6) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (.f64 alpha 2)))) (.f64 (+.f64 alpha 7) (fma.f64 -1 (.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (.f64 alpha 2)))))))) (pow.f64 beta 5)) (/.f64 (fma.f64 -1 (.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (.f64 alpha 2)))) (pow.f64 beta 4))))))
(+.f64 (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (-.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (.f64 2 alpha))) (.f64 (+.f64 alpha 7) (+.f64 alpha 6)))) (pow.f64 beta 4)) (/.f64 (-.f64 (-.f64 (+.f64 12 (.f64 alpha 6)) (.f64 (+.f64 alpha 6) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (.f64 2 alpha))))) (.f64 (+.f64 alpha 7) (-.f64 (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (.f64 2 alpha))) (.f64 (+.f64 alpha 7) (+.f64 alpha 6))))) (pow.f64 beta 5))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 (/.f64 1 beta) beta) (-.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 (+.f64 alpha 7) (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (.f64 -1 (-.f64 (.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3)))))
(fma.f64 -1 (/.f64 (fma.f64 (+.f64 alpha 7) (+.f64 1 (neg.f64 (+.f64 alpha 7))) (neg.f64 (fma.f64 -5 (+.f64 2 alpha) -6))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 beta) beta) (-.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)))) (/.f64 (-.f64 (*.f64 (+.f64 alpha 7) (+.f64 -6 (neg.f64 alpha))) (fma.f64 -5 (+.f64 2 alpha) -6)) (pow.f64 beta 4)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (.f64 -1 (-.f64 (.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (.f64 -6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 7 alpha))) (-.f64 (.f64 -5 (+.f64 2 alpha)) 6)) (pow.f64 beta 5)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 7 alpha) (+.f64 1 (.f64 -1 (+.f64 7 alpha)))) (.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (+.f64 7 alpha)) (pow.f64 beta 5))))))))
(fma.f64 -1 (/.f64 (fma.f64 (+.f64 alpha 7) (+.f64 1 (neg.f64 (+.f64 alpha 7))) (neg.f64 (fma.f64 -5 (+.f64 2 alpha) -6))) (pow.f64 beta 4)) (fma.f64 -6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 5)) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3))) (+.f64 (/.f64 (+.f64 1 (neg.f64 (+.f64 alpha 7))) (/.f64 (pow.f64 beta 5) (fma.f64 -5 (+.f64 2 alpha) -6))) (/.f64 (fma.f64 (+.f64 alpha 7) (+.f64 1 (neg.f64 (+.f64 alpha 7))) (neg.f64 (fma.f64 -5 (+.f64 2 alpha) -6))) (/.f64 (pow.f64 beta 5) (+.f64 alpha 7))))))))
(-.f64 (fma.f64 -6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 5)) (+.f64 (+.f64 (.f64 (/.f64 (+.f64 -6 (neg.f64 alpha)) (pow.f64 beta 5)) (fma.f64 -5 (+.f64 2 alpha) -6)) (+.f64 (.f64 (/.f64 (-.f64 (.f64 (+.f64 alpha 7) (+.f64 -6 (neg.f64 alpha))) (fma.f64 -5 (+.f64 2 alpha) -6)) (pow.f64 beta 5)) (+.f64 alpha 7)) (/.f64 1 (pow.f64 beta 3)))) (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (+.f64 alpha 7) (pow.f64 beta 3))))) (/.f64 (-.f64 (.f64 (+.f64 alpha 7) (+.f64 -6 (neg.f64 alpha))) (fma.f64 -5 (+.f64 2 alpha) -6)) (pow.f64 beta 4)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 -1 (.f64 alpha (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (+.f64 beta 3))) (.f64 alpha (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (+.f64 beta 3)) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))))))
(+.f64 (/.f64 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))))) (/.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (+.f64 beta 3))) (.f64 alpha (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (+.f64 beta 3)) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)))))) (.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (+.f64 beta 3)) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)))) (+.f64 2 beta)) (*.f64 alpha alpha)))
(+.f64 (/.f64 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))))
(+.f64 (/.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)))) (/.f64 (+.f64 2 beta) (.f64 alpha alpha))) (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 5))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 5)))) (pow.f64 alpha 3)) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2)))))))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (+.f64 beta 3)) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)))) (+.f64 2 beta)) (.f64 alpha alpha)) (-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (+.f64 beta 3)) (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 5))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 5)))) (pow.f64 alpha 3)))) (.f64 alpha (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (+.f64 beta 3)) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)))))))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 alpha (+.f64 2 beta)))
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(-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (.f64 alpha (+.f64 2 beta))) (/.f64 beta (.f64 alpha (.f64 (+.f64 beta 3) (+.f64 2 beta))))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)))
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(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 alpha (+.f64 2 beta)))
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(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 2 beta)))) (/.f64 beta (.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 2 beta))))))
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(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 2 beta)))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))))))
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(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 2 beta)))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 2 beta)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta)))))))
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1/3
(+.f64 (*.f64 2/9 beta) 1/3)
(fma.f64 2/9 beta 1/3)
(+.f64 (.f64 -2/27 (pow.f64 beta 2)) (+.f64 (.f64 2/9 beta) 1/3))
(fma.f64 -2/27 (*.f64 beta beta) (fma.f64 2/9 beta 1/3))
(+.f64 (.f64 -2/27 (pow.f64 beta 2)) (+.f64 (.f64 2/9 beta) (+.f64 1/3 (*.f64 2/81 (pow.f64 beta 3)))))
(fma.f64 -2/27 (.f64 beta beta) (+.f64 (fma.f64 2/9 beta 1/3) (.f64 (pow.f64 beta 3) 2/81)))
(+.f64 (fma.f64 -2/27 (.f64 beta beta) (fma.f64 2/9 beta 1/3)) (.f64 (pow.f64 beta 3) 2/81))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (/.f64 6 (*.f64 beta beta))) (/.f64 2 beta))
(+.f64 (/.f64 6 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (-.f64 (/.f64 6 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 18 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (/.f64 6 (*.f64 beta beta))) (/.f64 2 beta))
(+.f64 (/.f64 6 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (-.f64 (/.f64 6 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 18 (pow.f64 beta 3)))))
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))
(-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha))))
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3))))
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(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 2 alpha) (*.f64 beta beta))))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 2 alpha) (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
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(fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4)) (+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(-.f64 (+.f64 (-.f64 (/.f64 1 beta) (/.f64 (+.f64 2 alpha) (*.f64 beta beta))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4)))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 2 alpha) (*.f64 beta beta))))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 2 alpha) (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (-.f64 (/.f64 1 beta) (/.f64 (+.f64 2 alpha) (*.f64 beta beta))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))
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(fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4)) (+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(-.f64 (+.f64 (-.f64 (/.f64 1 beta) (/.f64 (+.f64 2 alpha) (*.f64 beta beta))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4)))
(/.f64 1 (+.f64 beta 2))
(/.f64 1 (+.f64 2 beta))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (+.f64 2 beta)) (neg.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))))
(-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))))
(-.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha))) (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (/.f64 1 (+.f64 2 beta)) (+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 3)) (.f64 -1 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4)) (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 (/.f64 1 (+.f64 2 beta)) (-.f64 (-.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4))) (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 (-.f64 -2 beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 (-.f64 -2 beta) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 (-.f64 -2 beta) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (/.f64 1 alpha))
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1/6
(+.f64 1/6 (*.f64 1/36 beta))
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(/.f64 1 beta)
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(/.f64 1 (+.f64 (+.f64 2 alpha) beta))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 1 (+.f64 (+.f64 2 alpha) beta))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 1 (+.f64 (+.f64 2 alpha) beta))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 2 alpha))) -1))
(/.f64 1 (+.f64 (+.f64 2 alpha) beta))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 2 alpha)))) 1))
(/.f64 1 (+.f64 (+.f64 2 alpha) beta))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 1 (+.f64 (+.f64 2 alpha) beta))
(/.f64 1 (+.f64 2 (+.f64 alpha beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))))) 1)
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(.f64 1 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(.f64 (+.f64 1 beta) (.f64 (/.f64 -1 (-.f64 -3 beta)) (/.f64 1 (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(.f64 (+.f64 1 beta) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 2 beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 2 beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (.f64 (/.f64 1 (+.f64 beta 2)) 1))
(*.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 2 beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 -3 beta))) 1)
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 -3 beta)))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 -3 beta)))) (.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 1))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))))
(*.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 2 beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 -3 beta)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 2))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 2) (.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 1))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))))
(*.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 2 beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 1 beta) (+.f64 beta 3)))
(*.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 2 beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(*.f64 (/.f64 (+.f64 1 beta) (-.f64 -3 beta)) (/.f64 1 (-.f64 -2 beta)))
(*.f64 (/.f64 (+.f64 beta 1) (-.f64 -3 beta)) (/.f64 1 (-.f64 -2 beta)))
(/.f64 (+.f64 beta 1) (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
(*.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 -1 (-.f64 -3 beta)) (+.f64 beta 2)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (sqrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (cbrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (-.f64 4 (.f64 beta beta))) (-.f64 2 beta))
(/.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (-.f64 2 beta)) (-.f64 4 (.f64 beta beta)))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (-.f64 4 (*.f64 beta beta)))) (-.f64 2 beta))
(.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta (-.f64 beta 2))))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta 3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta 3)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 2 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (+.f64 beta 2)) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 beta 3)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta 3)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 2 beta)))
(*.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta 2))) (/.f64 (/.f64 -1 (-.f64 -3 beta)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 2 beta))) (/.f64 (/.f64 -1 (-.f64 -3 beta)) (sqrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (/.f64 -1 (-.f64 -3 beta)) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 (/.f64 -1 (-.f64 -3 beta)) (cbrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (+.f64 2 beta)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (+.f64 beta 2)))
(*.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 2 beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (cbrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (+.f64 beta 2)))
(*.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 2 beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (sqrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 2 beta) (-.f64 -3 beta)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3))) 2) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3))) 2)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 1)
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 2)
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 3)
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 3) 1/3)
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(pow.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 1 beta))) -1)
(*.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 2 beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(neg.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (-.f64 -2 beta)))
(/.f64 (neg.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3))) (-.f64 -2 beta))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta))) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 3))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) 3) (pow.f64 (+.f64 beta 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) 3) (pow.f64 (+.f64 2 beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (+.f64 2 beta)))))
(exp.f64 (.f64 (-.f64 (log1p.f64 beta) (log.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (+.f64 2 beta)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 2 beta))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 beta 2) (+.f64 beta 1))
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))
✓	0.0b	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1))))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 89 to 61 computations (31.5% saved)

series22.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite136.0ms (0.7%)

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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simplify164.0ms (0.8%)

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

eval1.4s (7%)

Compiler: Compiled 64897 to 47433 computations (26.9% saved)

prune661.0ms (3.3%)

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	1545	18	1563
Fresh	8	12	20
Picked	1	0	1
Done	4	3	7
Total	1558	33	1591

Error

Counts

1591 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	33.4b	(pow.f64 beta -2)
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	23.3b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	23.4b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
	33.8b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	14.5b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
▶	1.0b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))
	29.0b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	6.9b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
	38.9b	(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
	28.5b	(/.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
▶	32.8b	(/.f64 (/.f64 1 beta) (+.f64 beta 3))
	33.4b	(/.f64 (/.f64 1 beta) beta)
▶	9.2b	(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
	31.7b	(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
	15.8b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)) (+.f64 (+.f64 alpha beta) 2)))
	30.1b	(/.f64 (+.f64 1 alpha) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
✓	32.3b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	42.5b	(/.f64 alpha (*.f64 beta beta))
	33.0b	(/.f64 1 (*.f64 beta (+.f64 beta 3)))
	33.6b	(/.f64 1 (*.f64 beta beta))
	60.9b	(/.f64 1 (*.f64 alpha alpha))
▶	60.2b	(/.f64 1 beta)
✓	62.4b	(/.f64 1 alpha)
	34.8b	(/.f64 1/6 (+.f64 2 alpha))
	5.4b	(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
	31.4b	(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
	52.8b	(.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)))))
	29.1b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
▶	29.1b	(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
	15.6b	(.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))
	34.9b	(.f64 (+.f64 1/6 (.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
	33.8b	(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 1001 to 718 computations (28.3% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2)))
✓	0.0b	(/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2))))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))
✓	0.1b	(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2))

Compiler

Compiled 103 to 74 computations (28.2% saved)

series9.0ms (0%)

Counts

4 → 84

Calls

21 calls:

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

rewrite149.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`+-commutative`
480×	`add-sqr-sqrt`
468×	`pow1`
468×	`*-un-lft-identity`
450×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	196
1	463	188
2	7158	188

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (neg.f64 (-.f64 -1 beta))) (/.f64 -2 (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (-.f64 -1 beta)) (/.f64 beta (neg.f64 (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 beta (neg.f64 (-.f64 -1 beta))) 1) (.f64 (/.f64 -2 (-.f64 -1 beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 -2 (-.f64 -1 beta)) 1) (.f64 (/.f64 beta (neg.f64 (-.f64 -1 beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta 2) (-.f64 1 (/.f64 beta -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1 beta) (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 beta) -2) (-.f64 -1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 beta beta -4) (.f64 (-.f64 1 (/.f64 beta -1)) (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 beta beta -4) (.f64 (neg.f64 (-.f64 -1 beta)) (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 beta 3)) (.f64 (-.f64 1 (/.f64 beta -1)) (fma.f64 beta beta (-.f64 4 (.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 beta 3)) (.f64 (neg.f64 (-.f64 -1 beta)) (fma.f64 beta beta (-.f64 4 (.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 -1 (-.f64 -1 beta)) (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (fma.f64 beta beta -4)) (.f64 (-.f64 -1 beta) (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (+.f64 8 (pow.f64 beta 3))) (.f64 (-.f64 -1 beta) (fma.f64 beta beta (-.f64 4 (.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 beta beta -4) (/.f64 -1 (-.f64 -1 beta))) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (/.f64 -1 (-.f64 -1 beta))) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (neg.f64 beta) -2) 1) (-.f64 -1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (neg.f64 beta) -2) (sqrt.f64 (-.f64 -1 beta))) (sqrt.f64 (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (neg.f64 beta) -2) (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2)) (cbrt.f64 (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (/.f64 beta (neg.f64 (-.f64 -1 beta))) (/.f64 beta (neg.f64 (-.f64 -1 beta)))) (.f64 (/.f64 -2 (-.f64 -1 beta)) (/.f64 -2 (-.f64 -1 beta)))) (-.f64 (/.f64 beta (neg.f64 (-.f64 -1 beta))) (/.f64 -2 (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 beta (neg.f64 (-.f64 -1 beta))) 3) (pow.f64 (/.f64 -2 (-.f64 -1 beta)) 3)) (+.f64 (.f64 (/.f64 beta (neg.f64 (-.f64 -1 beta))) (/.f64 beta (neg.f64 (-.f64 -1 beta)))) (-.f64 (.f64 (/.f64 -2 (-.f64 -1 beta)) (/.f64 -2 (-.f64 -1 beta))) (.f64 (/.f64 beta (neg.f64 (-.f64 -1 beta))) (/.f64 -2 (-.f64 -1 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 beta beta -4) -1) (.f64 (+.f64 beta -2) (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 beta beta -4) 1) (.f64 (+.f64 beta -2) (-.f64 1 (/.f64 beta -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 beta beta -4) 1) (.f64 (+.f64 beta -2) (neg.f64 (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) -1) (.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) 1) (.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (-.f64 1 (/.f64 beta -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) 1) (.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (neg.f64 (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (neg.f64 beta) -2)) (neg.f64 (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 -1 (-.f64 -1 beta)) 3) (pow.f64 (+.f64 beta 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (/.f64 -1 (-.f64 -1 beta)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 -1 (-.f64 -1 beta)) (/.f64 -2 (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 -1 beta)) beta (/.f64 -2 (-.f64 -1 beta)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 beta alpha))) (.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 2 alpha)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 beta alpha))) (.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 1) (.f64 (/.f64 1 (.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 2 alpha)))) (/.f64 1 (+.f64 3 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 1) (/.f64 1 (.f64 (.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 3 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 2 alpha))) (+.f64 (neg.f64 beta) -2)) (-.f64 -1 beta)) (/.f64 1 (+.f64 3 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 beta alpha))) (.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 2 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 2 alpha))) (+.f64 (neg.f64 beta) -2)) (-.f64 -1 beta))) (.f64 (sqrt.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 2 alpha))) (+.f64 (neg.f64 beta) -2)) (-.f64 -1 beta))) (/.f64 1 (+.f64 3 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 beta alpha))) (.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 beta alpha))) (.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 2 alpha))) (+.f64 (neg.f64 beta) -2)) (-.f64 -1 beta))) 2) (.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 2 alpha))) (+.f64 (neg.f64 beta) -2)) (-.f64 -1 beta))) (/.f64 1 (+.f64 3 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 beta alpha))) (.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 2 alpha))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 beta alpha))) (.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 2 alpha))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 beta alpha))) (.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 2 alpha))))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 beta alpha))) (.f64 (/.f64 (+.f64 beta 2) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 2 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simplify437.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1222×	`associate-r`
1158×	`+-commutative`
1144×	`associate-l`
800×	`associate-+r+`
790×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	918	24861
1	3144	23483

Stop Event

1×	node limit

Counts

261 → 482

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 beta) (+.f64 beta 3))

Compiler

Compiled 18 to 13 computations (27.8% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	0	(/.f64 (/.f64 1 beta) (+.f64 beta 3))
0.0ms	beta	@	inf	(/.f64 (/.f64 1 beta) (+.f64 beta 3))
0.0ms	beta	@	-inf	(/.f64 (/.f64 1 beta) (+.f64 beta 3))

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`add-sqr-sqrt`
1844×	`*-un-lft-identity`
1736×	`add-cube-cbrt`
1718×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	177	19
2	2314	19

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1192×	`distribute-lft-in`
1178×	`distribute-rgt-in`
818×	`associate-*r/`
694×	`associate-/l*`
544×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	1310
1	372	1250
2	1180	1164
3	5066	1164

Stop Event

1×	node limit

Counts

46 → 79

Calls

Call 1

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

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

localize60.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 2 beta))
	0.0b	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 42 to 30 computations (28.6% saved)

series6.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	beta	@	-inf	(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
1.0ms	beta	@	0	(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
0.0ms	beta	@	inf	(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
0.0ms	alpha	@	0	(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
0.0ms	alpha	@	inf	(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`associate-/r*`
1228×	`associate-/l*`
1026×	`associate-/r/`
288×	`add-sqr-sqrt`
278×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	279	44
2	3962	44

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (-.f64 -2 beta)) (+.f64 2 (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) (+.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) -1/2) (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta alpha))))) (sqrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 2 beta) -1/2) (*.f64 (sqrt.f64 (+.f64 2 beta)) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 2 beta) -1/2) (*.f64 (+.f64 2 (+.f64 beta alpha)) (sqrt.f64 (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 2 beta) -1/2) (/.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 (pow.f64 (+.f64 2 beta) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 2 beta) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (*.f64 (+.f64 2 beta) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2)) (*.f64 (+.f64 2 beta) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 -1 (-.f64 -2 beta))) (/.f64 (+.f64 2 (+.f64 beta alpha)) (cbrt.f64 (pow.f64 (+.f64 2 beta) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 -1 (-.f64 -2 beta))) (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (sqrt.f64 (+.f64 2 beta))) (cbrt.f64 (pow.f64 (+.f64 2 beta) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 -1 (-.f64 -2 beta))) (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (cbrt.f64 (+.f64 2 beta))) (cbrt.f64 (/.f64 -1 (-.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 2 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alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 -2 beta))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2))) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))) 1) (-.f64 -2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))) (sqrt.f64 (+.f64 2 beta))) (neg.f64 (sqrt.f64 (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (neg.f64 (cbrt.f64 (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))) -1) (+.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))) (sqrt.f64 (-.f64 -2 beta))) (sqrt.f64 (-.f64 -2 beta)))))) (#(struct:change 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(-.f64 (-.f64 -2 beta) alpha))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2) (pow.f64 (+.f64 2 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3) (pow.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) 3) (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3)))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 -2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 beta) -1/2) (pow.f64 (+.f64 2 beta) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 beta) -1/2) (*.f64 (pow.f64 (+.f64 2 beta) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (-.f64 -2 beta))) (cbrt.f64 (pow.f64 (+.f64 2 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) -2)) (cbrt.f64 (/.f64 -1 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) -2)) (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 -2 beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (/.f64 -1 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 beta beta))) (-.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (-.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -2 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 2 beta)) -1) (pow.f64 (sqrt.f64 (+.f64 2 beta)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 beta)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (-.f64 4 (*.f64 beta beta)))) (neg.f64 (-.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (*.f64 beta (-.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 2 beta) (-.f64 16 (*.f64 (*.f64 beta beta) (*.f64 beta beta)))) (+.f64 (*.f64 beta beta) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 2 beta) (-.f64 64 (pow.f64 (*.f64 beta beta) 3))) (+.f64 16 (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 4 (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 beta beta) 4)) (-.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 2 beta) -1/2) (sqrt.f64 (-.f64 4 (*.f64 beta beta)))) (sqrt.f64 (-.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 2 beta) -1/2) (sqrt.f64 (+.f64 8 (pow.f64 beta 3)))) (sqrt.f64 (+.f64 4 (*.f64 beta (-.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (-.f64 4 (*.f64 beta beta)))) (-.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (+.f64 4 (*.f64 beta (-.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (-.f64 4 (*.f64 beta beta)))) (cbrt.f64 (-.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 4 (*.f64 beta (-.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 4 (*.f64 beta (-.f64 beta 2))) (-.f64 64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)))) (-.f64 8 (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 4 (*.f64 beta (-.f64 beta 2))) (+.f64 512 (pow.f64 (pow.f64 beta 3) 3))) (+.f64 64 (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (*.f64 8 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (-.f64 -2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 beta) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 -2 beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 beta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 beta)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 -2 beta))))))))

simplify136.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1124×	`associate-/l/`
1070×	`associate-/l*`
774×	`associate-/r*`
748×	`times-frac`
578×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	647	11988
1	1840	11670

Stop Event

1×	node limit

Counts

230 → 401

Calls

Call 1

Inputs
(/.f64 1/2 (+.f64 2 alpha))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 4 alpha) beta) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 4 alpha) beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 4 alpha) 2) (pow.f64 (+.f64 2 alpha) 3)))))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 4 alpha) beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 4 alpha) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 4 alpha) 2) (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 2 alpha))) (.f64 -1/8 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 4 alpha) 2) (pow.f64 (+.f64 2 alpha) 3)))))) (.f64 1/2 (/.f64 1 (+.f64 2 alpha))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 4 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 4 alpha) 2)) (.f64 2 (+.f64 2 alpha))) (pow.f64 beta 4)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 4 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 alpha) (+.f64 (.f64 -1 (pow.f64 (+.f64 4 alpha) 2)) (.f64 2 (+.f64 2 alpha))))) (.f64 -2 (.f64 (+.f64 4 alpha) (+.f64 2 alpha)))) (pow.f64 beta 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 4 alpha) 2)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 beta 4))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -1 (/.f64 (-.f64 2 (.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 2 (.f64 -1 (+.f64 2 alpha))) (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)) (.f64 2 (+.f64 2 alpha))) (pow.f64 beta 4))) (.f64 -1 (/.f64 (-.f64 2 (*.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (-.f64 2 (.f64 -1 (+.f64 2 alpha))) (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)) (.f64 2 (+.f64 2 alpha))) (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 2 (.f64 -1 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 2 (.f64 -1 (+.f64 2 alpha))) (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)) (.f64 2 (+.f64 2 alpha))) (pow.f64 beta 4))) (.f64 -1 (/.f64 (-.f64 2 (*.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3)))))))
(/.f64 1 (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 4)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 4)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(/.f64 1 (*.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 (.f64 (+.f64 beta 2) alpha)))) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4))) (/.f64 1 (*.f64 (+.f64 beta 2) alpha))))) (/.f64 1 (pow.f64 alpha 2)))
(/.f64 1 (*.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 (.f64 (+.f64 beta 2) alpha)))) (/.f64 1 (pow.f64 alpha 2)))
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1/2
(+.f64 (*.f64 -1/4 beta) 1/2)
(+.f64 (.f64 -1/4 beta) (+.f64 1/2 (.f64 1/8 (pow.f64 beta 2))))
(+.f64 (.f64 -1/4 beta) (+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 beta 2)) (*.f64 -1/16 (pow.f64 beta 3)))))
(/.f64 1 beta)
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(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (.f64 2 (/.f64 1 (pow.f64 beta 2))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha))))) 1)
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(/.f64 (/.f64 1 (-.f64 4 (*.f64 beta beta))) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 2 beta)))
(/.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 4 (*.f64 beta (-.f64 beta 2)))))
(/.f64 (/.f64 1 (-.f64 (-.f64 -2 beta) alpha)) (-.f64 -2 beta))
(/.f64 (/.f64 1 (-.f64 -2 beta)) (-.f64 (-.f64 -2 beta) alpha))
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(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2) -1) (/.f64 (+.f64 2 beta) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) -1)))
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(/.f64 (/.f64 (/.f64 (/.f64 -1 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (/.f64 (/.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (+.f64 2 beta))) 1) (sqrt.f64 (+.f64 2 beta)))
(/.f64 (/.f64 (/.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (+.f64 2 beta))) (cbrt.f64 (+.f64 2 beta))) (cbrt.f64 (sqrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (sqrt.f64 (+.f64 2 beta)))) (sqrt.f64 (sqrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) 1) (cbrt.f64 (+.f64 2 beta)))
(/.f64 (/.f64 (/.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 beta)))) (sqrt.f64 (cbrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 2 beta)))) (cbrt.f64 (sqrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 beta))) (cbrt.f64 (cbrt.f64 (+.f64 2 beta))))) (cbrt.f64 (cbrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 -2 beta))) 1) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 -2 beta))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (neg.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 -2 beta))) -1) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 -2 beta))) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha)))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 -2 beta))) (*.f64 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha)) (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha)))) (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha)))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 -2 beta))) (neg.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 -2 beta))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2))) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))) 1) (-.f64 -2 beta))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))) (sqrt.f64 (+.f64 2 beta))) (neg.f64 (sqrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (neg.f64 (cbrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))) -1) (+.f64 2 beta))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))) (sqrt.f64 (-.f64 -2 beta))) (sqrt.f64 (-.f64 -2 beta)))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))) (*.f64 (cbrt.f64 (-.f64 -2 beta)) (cbrt.f64 (-.f64 -2 beta)))) (cbrt.f64 (-.f64 -2 beta)))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))) (neg.f64 (sqrt.f64 (+.f64 2 beta)))) (sqrt.f64 (+.f64 2 beta)))
(/.f64 (/.f64 (neg.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))) (cbrt.f64 (+.f64 2 beta)))
(pow.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha))) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta alpha))))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta alpha))) -1)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2) (pow.f64 (+.f64 2 beta) -2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha))))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3) (pow.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) 3) (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) 3) (pow.f64 (+.f64 2 beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta alpha))))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta alpha))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 beta)))) 1)
(*.f64 1 (/.f64 -1 (-.f64 -2 beta)))
(*.f64 (/.f64 -1 (-.f64 -2 beta)) 1)
(*.f64 (pow.f64 (+.f64 2 beta) -1/2) (pow.f64 (+.f64 2 beta) -1/2))
(.f64 (pow.f64 (+.f64 2 beta) -1/2) (.f64 (pow.f64 (+.f64 2 beta) -1/2) 1))
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 -2 beta))) (cbrt.f64 (pow.f64 (+.f64 2 beta) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) -2)) (cbrt.f64 (/.f64 -1 (-.f64 -2 beta))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) -2)) (.f64 (cbrt.f64 (/.f64 -1 (-.f64 -2 beta))) 1))
(*.f64 -1 (/.f64 1 (-.f64 -2 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (/.f64 -1 (-.f64 -2 beta))))
(.f64 (/.f64 1 (-.f64 4 (.f64 beta beta))) (-.f64 2 beta))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta (-.f64 beta 2))))
(*.f64 (/.f64 1 (-.f64 -2 beta)) -1)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 beta)) -1) (pow.f64 (sqrt.f64 (+.f64 2 beta)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 beta)) -1))
(.f64 (/.f64 1 (neg.f64 (-.f64 4 (.f64 beta beta)))) (neg.f64 (-.f64 2 beta)))
(.f64 (/.f64 1 (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (.f64 beta (-.f64 beta 2)))))
(.f64 (/.f64 (-.f64 2 beta) (-.f64 16 (.f64 (.f64 beta beta) (.f64 beta beta)))) (+.f64 (*.f64 beta beta) 4))
(.f64 (/.f64 (-.f64 2 beta) (-.f64 64 (pow.f64 (.f64 beta beta) 3))) (+.f64 16 (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (.f64 4 (*.f64 beta beta)))))
(.f64 (/.f64 1 (-.f64 (.f64 beta beta) 4)) (-.f64 beta 2))
(.f64 (/.f64 (pow.f64 (+.f64 2 beta) -1/2) (sqrt.f64 (-.f64 4 (.f64 beta beta)))) (sqrt.f64 (-.f64 2 beta)))
(.f64 (/.f64 (pow.f64 (+.f64 2 beta) -1/2) (sqrt.f64 (+.f64 8 (pow.f64 beta 3)))) (sqrt.f64 (+.f64 4 (.f64 beta (-.f64 beta 2)))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 4 (.f64 beta beta)))) (-.f64 2 beta))
(.f64 (/.f64 -1 (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (+.f64 4 (.f64 beta (-.f64 beta 2))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (-.f64 4 (.f64 beta beta)))) (cbrt.f64 (-.f64 2 beta)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 4 (.f64 beta (-.f64 beta 2)))))
(.f64 (/.f64 (+.f64 4 (.f64 beta (-.f64 beta 2))) (-.f64 64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)))) (-.f64 8 (pow.f64 beta 3)))
(.f64 (/.f64 (+.f64 4 (.f64 beta (-.f64 beta 2))) (+.f64 512 (pow.f64 (pow.f64 beta 3) 3))) (+.f64 64 (-.f64 (.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (.f64 8 (pow.f64 beta 3)))))
(pow.f64 (+.f64 2 beta) -1)
(pow.f64 (/.f64 -1 (-.f64 -2 beta)) 1)
(pow.f64 (pow.f64 (+.f64 2 beta) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 -2 beta))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 2 beta) -2))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 -2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 -2 beta)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 beta))))
(exp.f64 (neg.f64 (log.f64 (+.f64 2 beta))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 beta)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 beta))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 -2 beta))))

Outputs
(/.f64 1/2 (+.f64 2 alpha))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 4 alpha) beta) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))))
(fma.f64 -1/4 (/.f64 (*.f64 (+.f64 alpha 4) beta) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1/2 (+.f64 2 alpha)))
(fma.f64 -1/4 (/.f64 (+.f64 alpha 4) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (/.f64 1/2 (+.f64 2 alpha)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 4 alpha) beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 4 alpha) 2) (pow.f64 (+.f64 2 alpha) 3)))))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha)))))
(fma.f64 -1/4 (/.f64 (.f64 (+.f64 alpha 4) beta) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 -1 (.f64 (+.f64 (/.f64 1/4 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 alpha 4) 2) (pow.f64 (+.f64 2 alpha) 3)))) (.f64 beta beta)) (/.f64 1/2 (+.f64 2 alpha))))
(fma.f64 -1/4 (/.f64 (+.f64 alpha 4) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (-.f64 (/.f64 1/2 (+.f64 2 alpha)) (.f64 beta (.f64 beta (+.f64 (/.f64 1/4 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 alpha 4) 2))))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 4 alpha) beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 4 alpha) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 4 alpha) 2) (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 2 alpha))) (.f64 -1/8 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 4 alpha) 2) (pow.f64 (+.f64 2 alpha) 3)))))) (.f64 1/2 (/.f64 1 (+.f64 2 alpha))))))
(fma.f64 -1/4 (/.f64 (.f64 (+.f64 alpha 4) beta) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 -1 (.f64 (pow.f64 beta 3) (fma.f64 -1/2 (/.f64 (+.f64 alpha 4) (/.f64 (+.f64 2 alpha) (+.f64 (/.f64 1/4 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 alpha 4) 2) (pow.f64 (+.f64 2 alpha) 3)))))) (.f64 -1/8 (/.f64 (+.f64 alpha 4) (pow.f64 (+.f64 2 alpha) 3))))) (fma.f64 -1 (.f64 (+.f64 (/.f64 1/4 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 alpha 4) 2) (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 beta beta)) (/.f64 1/2 (+.f64 2 alpha)))))
(fma.f64 -1/4 (/.f64 (+.f64 alpha 4) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (-.f64 (-.f64 (/.f64 1/2 (+.f64 2 alpha)) (.f64 beta (.f64 beta (+.f64 (/.f64 1/4 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 alpha 4) 2))))))) (.f64 (pow.f64 beta 3) (fma.f64 -1/2 (.f64 (/.f64 (+.f64 alpha 4) (+.f64 2 alpha)) (+.f64 (/.f64 1/4 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 alpha 4) 2))))) (/.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 alpha 4)))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 2)))
(fma.f64 -1 (/.f64 (+.f64 alpha 4) (pow.f64 beta 3)) (/.f64 1 (*.f64 beta beta)))
(-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (+.f64 alpha 4) (pow.f64 beta 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 4 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 4 alpha) 2)) (.f64 2 (+.f64 2 alpha))) (pow.f64 beta 4)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 4) (pow.f64 beta 3)) (/.f64 1 (.f64 beta beta))) (neg.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 alpha 4) 2) (+.f64 4 (.f64 alpha 2))) (pow.f64 beta 4))))
(-.f64 (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (+.f64 alpha 4) (pow.f64 beta 3))) (/.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 alpha 4) 2)) (pow.f64 beta 4)))
(+.f64 (.f64 -1 (/.f64 (+.f64 4 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 alpha) (+.f64 (.f64 -1 (pow.f64 (+.f64 4 alpha) 2)) (.f64 2 (+.f64 2 alpha))))) (.f64 -2 (.f64 (+.f64 4 alpha) (+.f64 2 alpha)))) (pow.f64 beta 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 4 alpha) 2)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 beta 4))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 4) (pow.f64 beta 3)) (/.f64 1 (.f64 beta beta))) (.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (.f64 (+.f64 alpha 4) (fma.f64 -1 (pow.f64 (+.f64 alpha 4) 2) (+.f64 4 (.f64 alpha 2)))) (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 alpha 4)))) (pow.f64 beta 5)) (/.f64 (fma.f64 -1 (pow.f64 (+.f64 alpha 4) 2) (+.f64 4 (*.f64 alpha 2))) (pow.f64 beta 4)))))
(-.f64 (-.f64 (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (-.f64 (.f64 (.f64 -2 (+.f64 2 alpha)) (+.f64 alpha 4)) (.f64 (+.f64 alpha 4) (-.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 alpha 4) 2)))) (pow.f64 beta 5))) (/.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 alpha 4) 2)) (pow.f64 beta 4))) (/.f64 (+.f64 alpha 4) (pow.f64 beta 3)))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -1 (/.f64 (-.f64 2 (.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (-.f64 2 (neg.f64 (+.f64 2 alpha))) (pow.f64 beta 3))))
(-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (-.f64 4 (neg.f64 alpha)) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 2 (.f64 -1 (+.f64 2 alpha))) (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)) (.f64 2 (+.f64 2 alpha))) (pow.f64 beta 4))) (.f64 -1 (/.f64 (-.f64 2 (*.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (.f64 beta beta)) (.f64 -1 (+.f64 (/.f64 (fma.f64 (-.f64 2 (neg.f64 (+.f64 2 alpha))) (fma.f64 -1 (+.f64 2 alpha) -2) (+.f64 4 (*.f64 alpha 2))) (pow.f64 beta 4)) (/.f64 (-.f64 2 (neg.f64 (+.f64 2 alpha))) (pow.f64 beta 3)))))
(-.f64 (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (fma.f64 (-.f64 4 (neg.f64 alpha)) (fma.f64 -1 (+.f64 2 alpha) -2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 4))) (/.f64 (-.f64 4 (neg.f64 alpha)) (pow.f64 beta 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (-.f64 2 (.f64 -1 (+.f64 2 alpha))) (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)) (.f64 2 (+.f64 2 alpha))) (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 2 (.f64 -1 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 2 (.f64 -1 (+.f64 2 alpha))) (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)) (.f64 2 (+.f64 2 alpha))) (pow.f64 beta 4))) (.f64 -1 (/.f64 (-.f64 2 (*.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3)))))))
(fma.f64 -1 (/.f64 (fma.f64 (-.f64 2 (neg.f64 (+.f64 2 alpha))) (fma.f64 -1 (+.f64 2 alpha) -2) (+.f64 4 (.f64 alpha 2))) (/.f64 (pow.f64 beta 5) (fma.f64 -1 (+.f64 2 alpha) -2))) (+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 2 (/.f64 (-.f64 2 (neg.f64 (+.f64 2 alpha))) (/.f64 (pow.f64 beta 5) (+.f64 2 alpha))) (.f64 -1 (+.f64 (/.f64 (fma.f64 (-.f64 2 (neg.f64 (+.f64 2 alpha))) (fma.f64 -1 (+.f64 2 alpha) -2) (+.f64 4 (.f64 alpha 2))) (pow.f64 beta 4)) (/.f64 (-.f64 2 (neg.f64 (+.f64 2 alpha))) (pow.f64 beta 3)))))))
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1/2
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(/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))
(.f64 (/.f64 1 (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (.f64 beta (-.f64 beta 2)))))
(.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (/.f64 1 (+.f64 (pow.f64 beta 3) 8)))
(/.f64 (-.f64 -4 (*.f64 beta (+.f64 beta -2))) (-.f64 -8 (pow.f64 beta 3)))
(.f64 (/.f64 (-.f64 2 beta) (-.f64 16 (.f64 (.f64 beta beta) (.f64 beta beta)))) (+.f64 (*.f64 beta beta) 4))
(*.f64 (/.f64 (-.f64 2 beta) (-.f64 16 (pow.f64 beta 4))) (fma.f64 beta beta 4))
(.f64 (/.f64 (-.f64 2 beta) (-.f64 64 (pow.f64 (.f64 beta beta) 3))) (+.f64 16 (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (.f64 4 (*.f64 beta beta)))))
(.f64 (/.f64 (-.f64 2 beta) (-.f64 64 (pow.f64 beta 6))) (+.f64 16 (.f64 (*.f64 beta beta) (fma.f64 beta beta 4))))
(.f64 (/.f64 (-.f64 2 beta) (-.f64 64 (pow.f64 beta 6))) (+.f64 16 (.f64 beta (*.f64 beta (fma.f64 beta beta 4)))))
(.f64 (/.f64 1 (-.f64 (.f64 beta beta) 4)) (-.f64 beta 2))
(.f64 (-.f64 2 beta) (/.f64 1 (-.f64 4 (.f64 beta beta))))
(/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))
(.f64 (/.f64 (pow.f64 (+.f64 2 beta) -1/2) (sqrt.f64 (-.f64 4 (.f64 beta beta)))) (sqrt.f64 (-.f64 2 beta)))
(.f64 (/.f64 (pow.f64 (+.f64 2 beta) -1/2) (sqrt.f64 (+.f64 8 (pow.f64 beta 3)))) (sqrt.f64 (+.f64 4 (.f64 beta (-.f64 beta 2)))))
(.f64 (/.f64 (pow.f64 (+.f64 2 beta) -1/2) (sqrt.f64 (+.f64 (pow.f64 beta 3) 8))) (sqrt.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 4 (.f64 beta beta)))) (-.f64 2 beta))
(.f64 (-.f64 2 beta) (/.f64 1 (-.f64 4 (.f64 beta beta))))
(/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))
(.f64 (/.f64 -1 (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (+.f64 4 (.f64 beta (-.f64 beta 2))))
(.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (/.f64 1 (+.f64 (pow.f64 beta 3) 8)))
(/.f64 (-.f64 -4 (*.f64 beta (+.f64 beta -2))) (-.f64 -8 (pow.f64 beta 3)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (-.f64 4 (.f64 beta beta)))) (cbrt.f64 (-.f64 2 beta)))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 4 (*.f64 beta beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))) (cbrt.f64 (-.f64 2 beta)))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (cbrt.f64 (-.f64 4 (*.f64 beta beta))))) (cbrt.f64 (-.f64 2 beta)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 4 (.f64 beta (-.f64 beta 2)))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 (pow.f64 beta 3) 8)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))) (cbrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 beta 3) 8))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 (+.f64 4 (.f64 beta (-.f64 beta 2))) (-.f64 64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)))) (-.f64 8 (pow.f64 beta 3)))
(.f64 (/.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (-.f64 64 (pow.f64 beta 6))) (-.f64 8 (pow.f64 beta 3)))
(.f64 (/.f64 (+.f64 4 (.f64 beta (-.f64 beta 2))) (+.f64 512 (pow.f64 (pow.f64 beta 3) 3))) (+.f64 64 (-.f64 (.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (.f64 8 (pow.f64 beta 3)))))
(.f64 (/.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (+.f64 512 (pow.f64 (pow.f64 beta 3) 3))) (+.f64 64 (+.f64 (pow.f64 beta 6) (*.f64 -8 (pow.f64 beta 3)))))
(.f64 (/.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (+.f64 512 (pow.f64 (pow.f64 beta 3) 3))) (+.f64 64 (+.f64 (pow.f64 beta 6) (*.f64 (pow.f64 beta 3) -8))))
(pow.f64 (+.f64 2 beta) -1)
(/.f64 1 (+.f64 2 beta))
(pow.f64 (/.f64 -1 (-.f64 -2 beta)) 1)
(/.f64 -1 (-.f64 -2 beta))
(pow.f64 (pow.f64 (+.f64 2 beta) -1/2) 2)
(/.f64 1 (+.f64 2 beta))
(pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 -2 beta))) 3)
(/.f64 -1 (-.f64 -2 beta))
(pow.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3) 1/3)
(/.f64 -1 (-.f64 -2 beta))
(sqrt.f64 (pow.f64 (+.f64 2 beta) -2))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 -2 beta))))
(/.f64 -1 (-.f64 -2 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 -2 beta)))))
(/.f64 -1 (-.f64 -2 beta))
(cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3))
(/.f64 -1 (-.f64 -2 beta))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 beta))))
(/.f64 -1 (-.f64 -2 beta))
(exp.f64 (neg.f64 (log.f64 (+.f64 2 beta))))
(/.f64 1 (+.f64 2 beta))
(exp.f64 (*.f64 (log.f64 (+.f64 2 beta)) -1))
(/.f64 1 (+.f64 2 beta))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 beta))) 1))
(/.f64 1 (+.f64 2 beta))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 -2 beta))))
(/.f64 -1 (-.f64 -2 beta))

localize25.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.1b

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

✓

4.9b

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

Compiler

Compiled 62 to 43 computations (30.6% saved)

series5.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1330×	`associate-/l/`
404×	`+-commutative`
404×	`add-sqr-sqrt`
390×	`pow1`
390×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	105
1	388	105
2	5732	105

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify130.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

954×	`associate-/r*`
934×	`distribute-lft-in`
870×	`distribute-rgt-in`
738×	`associate-r`
730×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	567	13374
1	1894	11580

Stop Event

1×	node limit

Counts

202 → 315

Calls

Call 1

Inputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))
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(/.f64 1 (pow.f64 beta 2))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
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(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha)))
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(*.f64 -6 (+.f64 2 alpha))
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(*.f64 -1 (pow.f64 beta 3))
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(*.f64 -1 (pow.f64 beta 3))
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(.f64 -1 (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
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6
(+.f64 6 (*.f64 5 beta))
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(pow.f64 beta 2)
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(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
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(.f64 (-.f64 -1 beta) (/.f64 1 (.f64 (-.f64 -2 (+.f64 beta alpha)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (/.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (-.f64 -2 (+.f64 beta alpha))) 1)
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(.f64 (/.f64 1 (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta 3))) (/.f64 (-.f64 -1 beta) (+.f64 beta 2)))
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(pow.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (-.f64 -2 (+.f64 beta alpha)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (-.f64 -2 (+.f64 beta alpha)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (-.f64 -2 (+.f64 beta alpha))) 3) 1/3)
(pow.f64 (.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta 3)) (/.f64 (+.f64 beta 2) (-.f64 -1 beta))) -1)
(neg.f64 (/.f64 (-.f64 -1 beta) (.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (neg.f64 (-.f64 -2 (+.f64 beta alpha))))))
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(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (-.f64 -2 (+.f64 beta alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (-.f64 -2 (+.f64 beta alpha))))))
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(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 beta) 3) (pow.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)))
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(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (-.f64 -2 (+.f64 beta alpha)))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (-.f64 -2 (+.f64 beta alpha)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (-.f64 -2 (+.f64 beta alpha)))))
(+.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 beta (+.f64 beta 3))) (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 (.f64 beta 2) 6)))
(+.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 (.f64 beta 2) 6)) (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 beta (+.f64 beta 3))))
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(+.f64 (.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (neg.f64 alpha)) (.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (-.f64 -2 beta)))
(+.f64 (.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta 3)) beta) (.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta 3)) 2))
(+.f64 (.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta 3)) 2) (.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta 3)) beta))
(+.f64 (.f64 (.f64 beta (+.f64 beta 3)) (-.f64 -2 (+.f64 beta alpha))) (.f64 (+.f64 (.f64 beta 2) 6) (-.f64 -2 (+.f64 beta alpha))))
(+.f64 (.f64 (+.f64 (.f64 beta 2) 6) (-.f64 -2 (+.f64 beta alpha))) (.f64 (.f64 beta (+.f64 beta 3)) (-.f64 -2 (+.f64 beta alpha))))
(+.f64 (.f64 (-.f64 -2 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (neg.f64 alpha) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 (.f64 (neg.f64 alpha) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 -2 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 (.f64 beta (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta 3))) (.f64 2 (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta 3))))
(+.f64 (.f64 2 (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta 3))) (.f64 beta (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta 3))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) 1)
(/.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(/.f64 (.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 alpha alpha))) (-.f64 -2 (-.f64 beta alpha)))
(/.f64 (.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 alpha 3))) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 alpha (-.f64 -2 (-.f64 beta alpha)))))
(/.f64 (.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta 3)) (fma.f64 beta beta -4)) (+.f64 beta -2))
(/.f64 (.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (.f64 alpha alpha)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (-.f64 -2 (-.f64 beta alpha)))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 alpha 3)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 alpha (-.f64 -2 (-.f64 beta alpha)))))
(pow.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 -2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) 3))
(cbrt.f64 (.f64 (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 3) (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 3)))
(expm1.f64 (log1p.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(exp.f64 (log.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (.f64 beta beta) (+.f64 (.f64 beta 3) (+.f64 (*.f64 beta 2) 6)))
(+.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (.f64 beta 2) 6))
(+.f64 (+.f64 (.f64 beta 2) 6) (.f64 beta (+.f64 beta 3)))
(+.f64 (.f64 beta 2) (+.f64 6 (.f64 beta (+.f64 beta 3))))
(+.f64 (.f64 beta 3) (+.f64 (.f64 beta beta) (+.f64 (*.f64 beta 2) 6)))
(+.f64 (.f64 (+.f64 beta 2) beta) (.f64 (+.f64 beta 2) 3))
(+.f64 (.f64 (+.f64 beta 2) 3) (.f64 (+.f64 beta 2) beta))
(+.f64 6 (+.f64 (.f64 beta 2) (.f64 beta (+.f64 beta 3))))
(+.f64 (.f64 beta (+.f64 beta 2)) (.f64 3 (+.f64 beta 2)))
(+.f64 (.f64 3 (+.f64 beta 2)) (.f64 beta (+.f64 beta 2)))
(+.f64 (.f64 (.f64 beta (+.f64 beta 3)) 1) (.f64 (+.f64 (.f64 beta 2) 6) 1))
(+.f64 (.f64 (+.f64 (.f64 beta 2) 6) 1) (.f64 (.f64 beta (+.f64 beta 3)) 1))
(+.f64 (+.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta 2)) 6)
(+.f64 (+.f64 (.f64 beta (+.f64 beta 3)) 6) (.f64 beta 2))
(+.f64 (+.f64 (+.f64 (.f64 beta 2) 6) (.f64 beta beta)) (*.f64 beta 3))
(+.f64 (+.f64 (+.f64 (.f64 beta 2) 6) (.f64 beta 3)) (*.f64 beta beta))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1)
(/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)
(/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (+.f64 beta -2))
(/.f64 (.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))
(/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) (+.f64 beta -3))
(/.f64 (.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 9 (.f64 beta 3))))
(/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 beta 2)) (+.f64 beta -3))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 beta 2)) (fma.f64 beta beta (-.f64 9 (.f64 beta 3))))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 beta 3)) (+.f64 beta -2))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 3)) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))
(/.f64 (-.f64 (.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta (+.f64 beta 3))) (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 6))) (-.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (.f64 beta 2) 6)))
(/.f64 (-.f64 (.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta (+.f64 beta 3))) (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 6))) (.f64 1 (-.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (*.f64 beta 2) 6))))
(/.f64 (+.f64 (pow.f64 (.f64 beta (+.f64 beta 3)) 3) (pow.f64 (+.f64 (.f64 beta 2) 6) 3)) (+.f64 (.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta (+.f64 beta 3))) (-.f64 (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 6)) (.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (*.f64 beta 2) 6)))))
(/.f64 (+.f64 (pow.f64 (.f64 beta (+.f64 beta 3)) 3) (pow.f64 (+.f64 (.f64 beta 2) 6) 3)) (.f64 1 (+.f64 (.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta (+.f64 beta 3))) (-.f64 (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 6)) (.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (.f64 beta 2) 6))))))
(/.f64 (.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (.f64 (+.f64 beta -3) (+.f64 beta -2)))
(/.f64 (.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (.f64 1 (*.f64 (+.f64 beta -3) (+.f64 beta -2))))
(/.f64 (.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (.f64 (+.f64 beta -3) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(/.f64 (.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (.f64 1 (.f64 (+.f64 beta -3) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (fma.f64 beta beta -4)) (.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (+.f64 beta -2)))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (fma.f64 beta beta -4)) (.f64 1 (.f64 (fma.f64 beta beta (-.f64 9 (.f64 beta 3))) (+.f64 beta -2))))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 (fma.f64 beta beta (-.f64 9 (.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (.f64 beta 2)))))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 1 (.f64 (fma.f64 beta beta (-.f64 9 (.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))))
(/.f64 (.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -9)) (.f64 (+.f64 beta -2) (+.f64 beta -3)))
(/.f64 (.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -9)) (.f64 1 (*.f64 (+.f64 beta -2) (+.f64 beta -3))))
(/.f64 (.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (.f64 (+.f64 beta -2) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(/.f64 (.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (.f64 1 (.f64 (+.f64 beta -2) (fma.f64 beta beta (-.f64 9 (.f64 beta 3))))))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -9)) (.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (+.f64 beta -3)))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -9)) (.f64 1 (.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (+.f64 beta -3))))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3))) (.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (fma.f64 beta beta (-.f64 9 (.f64 beta 3)))))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3))) (.f64 1 (.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))))
(pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 3)) (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(fma.f64 beta (+.f64 beta 3) (+.f64 (*.f64 beta 2) 6))
(fma.f64 (+.f64 beta 3) beta (+.f64 (*.f64 beta 2) 6))

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha)))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))))) (.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha))) (.f64 beta (.f64 beta (fma.f64 1/6 (.f64 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (+.f64 2 alpha)) (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha)))) (/.f64 (+.f64 (*.f64 1/36 alpha) 7/36) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(fma.f64 -1 (.f64 (pow.f64 beta 3) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (+.f64 alpha 7))) (+.f64 (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/6 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))))) (.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))))))))) (fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))))) (.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))))
(-.f64 (-.f64 (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha))) (.f64 beta (.f64 beta (fma.f64 1/6 (.f64 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (+.f64 2 alpha)) (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha)))) (/.f64 (+.f64 (.f64 1/36 alpha) 7/36) (pow.f64 (+.f64 2 alpha) 2)))))) (.f64 (pow.f64 beta 3) (fma.f64 1/6 (.f64 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (+.f64 2 alpha)) (+.f64 alpha 7)) (+.f64 (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (.f64 -1/6 (.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (fma.f64 1/6 (.f64 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (+.f64 2 alpha)) (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha)))) (/.f64 (+.f64 (*.f64 1/36 alpha) 7/36) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (neg.f64 (/.f64 (fma.f64 -1 (.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (fma.f64 3 (+.f64 2 alpha) (*.f64 2 (+.f64 alpha 5)))) (pow.f64 beta 4)))))
(-.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (/.f64 (-.f64 (fma.f64 3 (+.f64 2 alpha) (.f64 2 (+.f64 alpha 5))) (*.f64 (+.f64 alpha 7) (+.f64 alpha 6))) (pow.f64 beta 4)))
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(neg.f64 (pow.f64 beta 3))
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(neg.f64 (.f64 (.f64 beta beta) (+.f64 beta (+.f64 alpha 7))))
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6
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(*.f64 beta beta)
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(*.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))
(.f64 (fma.f64 beta beta -4) (/.f64 (fma.f64 beta beta -9) (.f64 (+.f64 beta -2) (+.f64 beta -3))))
(/.f64 (.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (.f64 (+.f64 beta -2) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (+.f64 (pow.f64 beta 3) 27) (fma.f64 beta beta (-.f64 9 (.f64 beta 3)))))
(.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (fma.f64 beta beta -4) (.f64 (+.f64 beta -2) (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))))))
(/.f64 (.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (.f64 1 (.f64 (+.f64 beta -2) (fma.f64 beta beta (-.f64 9 (.f64 beta 3))))))
(.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (+.f64 (pow.f64 beta 3) 27) (fma.f64 beta beta (-.f64 9 (.f64 beta 3)))))
(.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (fma.f64 beta beta -4) (.f64 (+.f64 beta -2) (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))))))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -9)) (.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (+.f64 beta -3)))
(.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (-.f64 4 (.f64 2 beta)))))
(.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (+.f64 4 (.f64 beta -2)))))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -9)) (.f64 1 (.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (+.f64 beta -3))))
(.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (-.f64 4 (.f64 2 beta)))))
(.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (+.f64 4 (.f64 beta -2)))))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3))) (.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (fma.f64 beta beta (-.f64 9 (.f64 beta 3)))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (-.f64 4 (.f64 2 beta)))) (/.f64 (+.f64 (pow.f64 beta 3) 27) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (+.f64 4 (.f64 beta -2)))) (fma.f64 beta beta (+.f64 9 (*.f64 beta -3)))))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3))) (.f64 1 (.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (-.f64 4 (.f64 2 beta)))) (/.f64 (+.f64 (pow.f64 beta 3) 27) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (+.f64 4 (.f64 beta -2)))) (fma.f64 beta beta (+.f64 9 (*.f64 beta -3)))))
(pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 2 beta))) 2)
(pow.f64 (sqrt.f64 (+.f64 6 (*.f64 beta (+.f64 beta 5)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) 1/3)
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 2 beta)) 2))
(sqrt.f64 (pow.f64 (+.f64 6 (*.f64 beta (+.f64 beta 5))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 3)) (+.f64 beta 2)))
(*.f64 (+.f64 2 beta) (log.f64 (exp.f64 (+.f64 beta 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 3) 3)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(fma.f64 beta (+.f64 beta 3) (+.f64 (*.f64 beta 2) 6))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))
(fma.f64 (+.f64 beta 3) beta (+.f64 (*.f64 beta 2) 6))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 beta 5)))

eval1.1s (5.3%)

Compiler: Compiled 46371 to 34138 computations (26.4% saved)

prune733.0ms (3.6%)

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	1351	9	1360
Fresh	2	23	25
Picked	1	0	1
Done	2	5	7
Total	1356	37	1393

Error

Counts

1393 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	33.4b	(pow.f64 beta -2)
	32.9b	(/.f64 (/.f64 (/.f64 -1 (-.f64 (-.f64 -2 beta) alpha)) (-.f64 4 (*.f64 beta beta))) (/.f64 1 (-.f64 2 beta)))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	23.3b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	23.4b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
	14.5b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓	1.0b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))
	29.0b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	38.9b	(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
	28.5b	(/.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
✓	32.8b	(/.f64 (/.f64 1 beta) (+.f64 beta 3))
	33.4b	(/.f64 (/.f64 1 beta) beta)
	9.2b	(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta (+.f64 beta 5)))))
	16.1b	(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5))))
	37.3b	(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 beta beta)))
	36.9b	(/.f64 (-.f64 -1 beta) (neg.f64 (.f64 (.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
	31.7b	(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
	15.8b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)) (+.f64 (+.f64 alpha beta) 2)))
	30.1b	(/.f64 (+.f64 1 alpha) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
✓	32.3b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	42.5b	(/.f64 alpha (*.f64 beta beta))
	29.3b	(/.f64 1 (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))
	33.0b	(/.f64 1 (*.f64 beta (+.f64 beta 3)))
	33.6b	(/.f64 1 (*.f64 beta beta))
	60.9b	(/.f64 1 (*.f64 alpha alpha))
✓	62.4b	(/.f64 1 alpha)
	60.1b	(/.f64 1/3 beta)
	34.8b	(/.f64 1/6 (+.f64 2 alpha))
	5.4b	(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
	31.4b	(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
	52.8b	(.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)))))
	29.1b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	32.9b	(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 beta))
	29.1b	(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
	15.6b	(.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))
	34.9b	(.f64 (+.f64 1/6 (.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
	33.8b	(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 562 to 405 computations (27.9% saved)

regimes128.0ms (0.6%)

Counts

68 → 1

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.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 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 1 (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(.f64 (+.f64 1/6 (.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 beta beta)))
(/.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
(/.f64 (-.f64 -1 beta) (neg.f64 (.f64 (.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta (+.f64 beta 5)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.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 -1 (-.f64 (-.f64 -2 beta) alpha)) (-.f64 4 (*.f64 beta beta))) (/.f64 1 (-.f64 2 beta)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 beta 1) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 beta (+.f64 1 alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)) (+.f64 (+.f64 alpha 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 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))
(/.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 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
(.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 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 (/.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 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 1 (-.f64 -1 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 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (+.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta alpha) (+.f64 beta 2))) (.f64 2 (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(.f64 (/.f64 (+.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 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 (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)))))

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

Calls

3 calls:

47.0ms

alpha

39.0ms

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
0.1b	1	`alpha`
0.1b	1	`beta`
0.1b	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 1181 to 769 computations (34.9% saved)

regimes67.0ms (0.3%)

Counts

53 → 1

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.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 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 1 (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(.f64 (+.f64 1/6 (.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 beta beta)))
(/.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
(/.f64 (-.f64 -1 beta) (neg.f64 (.f64 (.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta (+.f64 beta 5)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.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 -1 (-.f64 (-.f64 -2 beta) alpha)) (-.f64 4 (*.f64 beta beta))) (/.f64 1 (-.f64 2 beta)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 beta 1) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 beta (+.f64 1 alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)) (+.f64 (+.f64 alpha 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 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))
(/.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)))

Outputs
(/.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)))

Calls

2 calls:

26.0ms	beta
25.0ms	alpha

Results

Error	Segments	Branch
0.1b	1	`alpha`
0.1b	1	`beta`

Compiler

Compiled 712 to 473 computations (33.6% saved)

regimes65.0ms (0.3%)

Counts

52 → 1

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.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 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 1 (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(.f64 (+.f64 1/6 (.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 beta beta)))
(/.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
(/.f64 (-.f64 -1 beta) (neg.f64 (.f64 (.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta (+.f64 beta 5)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.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 -1 (-.f64 (-.f64 -2 beta) alpha)) (-.f64 4 (*.f64 beta beta))) (/.f64 1 (-.f64 2 beta)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 beta 1) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 beta (+.f64 1 alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)) (+.f64 (+.f64 alpha 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 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))

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

Calls

2 calls:

25.0ms	alpha
24.0ms	beta

Results

Error	Segments	Branch
1.0b	1	`alpha`
1.0b	1	`beta`

Compiler

Compiled 687 to 456 computations (33.6% saved)

regimes109.0ms (0.5%)

Counts

48 → 2

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.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 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 1 (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(.f64 (+.f64 1/6 (.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 beta beta)))
(/.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
(/.f64 (-.f64 -1 beta) (neg.f64 (.f64 (.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta (+.f64 beta 5)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.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 -1 (-.f64 (-.f64 -2 beta) alpha)) (-.f64 4 (*.f64 beta beta))) (/.f64 1 (-.f64 2 beta)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 beta 1) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 beta (+.f64 1 alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))

Outputs

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

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

Calls

2 calls:

52.0ms	beta
43.0ms	alpha

Results

Error	Segments	Branch
1.0b	2	`alpha`
0.8b	2	`beta`

Compiler

Compiled 589 to 389 computations (34% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	2495734.9430180728	362692498.697742

Results

17.0ms

112×

body

256

valid

Compiler

Compiled 336 to 252 computations (25% saved)

regimes83.0ms (0.4%)

Counts

40 → 2

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.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 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 1 (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(.f64 (+.f64 1/6 (.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 beta beta)))
(/.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
(/.f64 (-.f64 -1 beta) (neg.f64 (.f64 (.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta (+.f64 beta 5)))))
(/.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) alpha) (+.f64 6 (.f64 beta (+.f64 beta 5)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

37.0ms	beta
36.0ms	alpha

Results

Error	Segments	Branch
1.0b	2	`alpha`
0.8b	2	`beta`

Compiler

Compiled 425 to 280 computations (34.1% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	2495734.9430180728	362692498.697742

Results

17.0ms

112×

body

256

valid

Compiler

Compiled 322 to 238 computations (26.1% saved)

regimes86.0ms (0.4%)

Counts

39 → 2

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.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 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 1 (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(.f64 (+.f64 1/6 (.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 beta beta)))
(/.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
(/.f64 (-.f64 -1 beta) (neg.f64 (.f64 (.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta (+.f64 beta 5)))))

Outputs
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta (+.f64 beta 5)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

40.0ms	alpha
35.0ms	beta

Results

Error	Segments	Branch
1.1b	2	`alpha`
0.9b	2	`beta`

Compiler

Compiled 408 to 268 computations (34.3% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	2495734.9430180728	362692498.697742

Results

16.0ms

112×

body

256

valid

Compiler

Compiled 308 to 224 computations (27.3% saved)

regimes78.0ms (0.4%)

Counts

38 → 2

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.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 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 1 (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(.f64 (+.f64 1/6 (.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 beta beta)))
(/.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
(/.f64 (-.f64 -1 beta) (neg.f64 (.f64 (.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 (+.f64 beta 3) (+.f64 beta 2))))

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

Calls

2 calls:

34.0ms	alpha
34.0ms	beta

Results

Error	Segments	Branch
1.1b	2	`alpha`
0.9b	2	`beta`

Compiler

Compiled 391 to 256 computations (34.5% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	2495734.9430180728	362692498.697742

Results

17.0ms

112×

body

256

valid

Compiler

Compiled 308 to 224 computations (27.3% saved)

regimes79.0ms (0.4%)

Counts

37 → 2

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.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 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 1 (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(.f64 (+.f64 1/6 (.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 beta beta)))
(/.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
(/.f64 (-.f64 -1 beta) (neg.f64 (.f64 (.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))

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

Calls

2 calls:

35.0ms	beta
32.0ms	alpha

Results

Error	Segments	Branch
1.1b	2	`alpha`
1.0b	2	`beta`

Compiler

Compiled 374 to 244 computations (34.8% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	2495734.9430180728	362692498.697742

Results

20.0ms

112×

body

256

valid

Compiler

Compiled 308 to 231 computations (25% saved)

regimes69.0ms (0.3%)

Counts

35 → 2

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.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 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 1 (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(.f64 (+.f64 1/6 (.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 beta beta)))
(/.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
(/.f64 (-.f64 -1 beta) (neg.f64 (.f64 (.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))

Outputs
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

31.0ms	beta
30.0ms	alpha

Results

Error	Segments	Branch
10.1b	2	`alpha`
1.6b	2	`beta`

Compiler

Compiled 340 to 220 computations (35.3% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	0.45757419708016533	1.6926920659570033

Results

12.0ms

80×

body

256

valid

Compiler

Compiled 222 to 163 computations (26.6% saved)

regimes132.0ms (0.7%)

Counts

34 → 2

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.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 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 1 (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(.f64 (+.f64 1/6 (.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 beta beta)))
(/.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
(/.f64 (-.f64 -1 beta) (neg.f64 (.f64 (.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))

Outputs
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5))))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

65.0ms	alpha
59.0ms	beta

Results

Error	Segments	Branch
10.4b	2	`alpha`
2.1b	2	`beta`

Compiler

Compiled 325 to 210 computations (35.4% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	1.6926920659570033	148.59389821938737

Results

15.0ms

112×

body

256

valid

Compiler

Compiled 266 to 196 computations (26.3% saved)

regimes210.0ms (1%)

Counts

32 → 2

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.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 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 1 (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(.f64 (+.f64 1/6 (.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 beta beta)))
(/.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
(/.f64 (-.f64 -1 beta) (neg.f64 (.f64 (.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Outputs
(.f64 (+.f64 1/6 (.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

152.0ms	alpha
50.0ms	beta

Results

Error	Segments	Branch
16.3b	7	`alpha`
2.1b	2	`beta`

Compiler

Compiled 295 to 188 computations (36.3% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	1.6926920659570033	148.59389821938737

Results

20.0ms

112×

body

256

valid

Compiler

Compiled 252 to 189 computations (25% saved)

regimes116.0ms (0.6%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

89.0ms	alpha
22.0ms	beta

Results

Error	Segments	Branch
16.4b	7	`alpha`
2.2b	2	`beta`

Compiler

Compiled 175 to 112 computations (36% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	1.6926920659570033	148.59389821938737

Results

16.0ms

112×

body

256

valid

Compiler

Compiled 224 to 168 computations (25% saved)

regimes91.0ms (0.5%)

Counts

21 → 2

Calls

Call 1

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

Outputs
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)

Calls

2 calls:

64.0ms	alpha
22.0ms	beta

Results

Error	Segments	Branch
16.5b	7	`alpha`
2.2b	2	`beta`

Compiler

Compiled 153 to 98 computations (35.9% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	1.6926920659570033	148.59389821938737

Results

17.0ms

112×

body

256

valid

Compiler

Compiled 196 to 147 computations (25% saved)

regimes81.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

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

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)

Calls

2 calls:

64.0ms	alpha
15.0ms	beta

Results

Error	Segments	Branch
18.3b	6	`alpha`
2.3b	2	`beta`

Compiler

Compiled 84 to 49 computations (41.7% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	1.6926920659570033	148.59389821938737

Results

16.0ms

112×

body

256

valid

Compiler

Compiled 168 to 126 computations (25% saved)

regimes431.0ms (2.1%)

Counts

13 → 2

Calls

Call 1

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

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Calls

2 calls:

233.0ms	alpha
14.0ms	beta

Results

Error	Segments	Branch
21.4b	6	`alpha`
5.5b	2	`beta`

Compiler

Compiled 77 to 45 computations (41.6% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	1.6926920659570033	148.59389821938737

Results

15.0ms

112×

body

256

valid

Compiler

Compiled 168 to 126 computations (25% saved)

regimes59.0ms (0.3%)

Counts

10 → 2

Calls

Call 1

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

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 1 beta) beta)

Calls

2 calls:

44.0ms	alpha
12.0ms	beta

Results

Error	Segments	Branch
22.6b	6	`alpha`
6.6b	2	`beta`

Compiler

Compiled 56 to 34 computations (39.3% saved)

bsearch50.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
50.0ms	1.6926920659570033	148.59389821938737

Results

48.0ms

112×

body

256

valid

Compiler

Compiled 154 to 119 computations (22.7% saved)

regimes75.0ms (0.4%)

Counts

7 → 2

Calls

Call 1

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

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))

Calls

2 calls:

63.0ms	alpha
10.0ms	beta

Results

Error	Segments	Branch
21.5b	8	`alpha`
6.8b	2	`beta`

Compiler

Compiled 37 to 23 computations (37.8% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	1.6926920659570033	148.59389821938737

Results

16.0ms

112×

body

256

valid

Compiler

Compiled 154 to 119 computations (22.7% saved)

regimes63.0ms (0.3%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 alpha alpha))

Calls

2 calls:

53.0ms	beta
8.0ms	alpha

Results

Error	Segments	Branch
33.3b	2	`alpha`
33.4b	2	`beta`

Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	0.9590819209220174	1647.0445139129602

Results

18.0ms

128×

body

256

valid

Compiler

Compiled 170 to 132 computations (22.4% saved)

regimes9.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 1/6 (+.f64 2 alpha))

Calls

2 calls:

4.0ms	beta
4.0ms	alpha

Results

Error	Segments	Branch
34.8b	1	`alpha`
34.8b	1	`beta`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0%)

Accuracy

Total -2.3b remaining (-3.8%)

Threshold costs -2.3b (-3.8%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 1/3 beta)

Calls

2 calls:

4.0ms	beta
3.0ms	alpha

Results

Error	Segments	Branch
60.1b	1	`alpha`
60.1b	1	`beta`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify29.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

48×	`+-commutative`
34×	`*-commutative`
14×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	1316
1	172	1316
2	184	1316
3	192	1316
4	195	1316

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(/.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 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 8200000) (.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 215000000) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta (+.f64 beta 5))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 60000000) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta (+.f64 beta 5))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 55000000) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 60000000) (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 2589569785738035/2251799813685248) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7656119366529843/2251799813685248) (.f64 (+.f64 1/6 (.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3602879701896397/562949953421312) (*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 17/2) (*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 9/2) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 4278419646001971/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 4278419646001971/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 alpha 4278419646001971/562949953421312) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1 (*.f64 alpha alpha)))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/3 beta)

Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(/.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 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 2 beta) (+.f64 1 beta)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 8200000) (.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 8200000) (.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 215000000) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta (+.f64 beta 5))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 215000000) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta (+.f64 beta 5))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 60000000) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta (+.f64 beta 5))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 60000000) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta (+.f64 beta 5))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 55000000) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 55000000) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 (+.f64 beta 3) (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 60000000) (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 60000000) (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 2 beta)) (/.f64 1 (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 2589569785738035/2251799813685248) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 2589569785738035/2251799813685248) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 (-.f64 -2 beta) alpha) (+.f64 6 (.f64 beta 5)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7656119366529843/2251799813685248) (.f64 (+.f64 1/6 (.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7656119366529843/2251799813685248) (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1/6 (.f64 beta 1/36))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3602879701896397/562949953421312) (*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3602879701896397/562949953421312) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1/6) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 17/2) (*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 17/2) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1/6) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 9/2) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 9/2) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (*.f64 beta beta)))
(if (<=.f64 beta 4278419646001971/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 4278419646001971/1125899906842624) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 4278419646001971/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 4278419646001971/1125899906842624) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 alpha 4278419646001971/562949953421312) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1 (*.f64 alpha alpha)))
(if (<=.f64 alpha 4278419646001971/562949953421312) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 1 (*.f64 alpha alpha)))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 alpha 2))
(/.f64 1/3 beta)

Compiler

Compiled 517 to 375 computations (27.5% saved)

soundness722.0ms (3.6%)

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 37 to 24 computations (35.1% saved)

end398.0ms (2%)

Compiler: Compiled 533 to 372 computations (30.2% saved)