Details

analyze53.0ms (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)

sample1.6s (8.3%)

Results

1.6s

8256×

body

256

valid

Bogosity

preprocess350.0ms (1.8%)

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 (3.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs

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

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

eval3.0ms (0%)

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

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)))
▶	4.6b	(/.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))))
▶	10.4b	(/.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)))

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)))

▶

4.6b

(/.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))))

▶

10.4b

(/.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 82 to 55 computations (32.9% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 beta (fma.f64 alpha beta 1))
✓	0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3)))
✓	0.1b	(.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2))
✓	10.3b	(/.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)

series19.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	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)))
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	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)))
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)))

rewrite161.0ms (0.9%)

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	170
1	432	146
2	6775	146

Stop Event

1×	node limit

Counts

4 → 211

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

simplify172.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1390×	`associate-r`
1298×	`associate-l`
1162×	`+-commutative`
1026×	`*-commutative`
786×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	839	23213
1	2944	22607

Stop Event

1×	node limit

Counts

307 → 452

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

localize29.0ms (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)))
✓	2.9b	(/.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))))
✓	3.1b	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 85 to 53 computations (37.6% saved)

series13.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite118.0ms (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
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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))))))

simplify238.0ms (1.3%)

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)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (+.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 7 (+.f64 alpha (.f64 2 alpha))) (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(+.f64 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))))
(fma.f64 (+.f64 (/.f64 beta (+.f64 3 beta)) (-.f64 (/.f64 1 (+.f64 3 beta)) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2))))) alpha (+.f64 (/.f64 1 (+.f64 3 beta)) (/.f64 beta (+.f64 3 beta))))
(+.f64 (.f64 (pow.f64 alpha 2) (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))))
(fma.f64 (*.f64 alpha alpha) (-.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 3 beta) 3)) (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 1 (pow.f64 (+.f64 3 beta) 2))) (/.f64 beta (pow.f64 (+.f64 3 beta) 2))) (fma.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 3 beta)) (/.f64 beta (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2)))) alpha (+.f64 (/.f64 1 (+.f64 3 beta)) (/.f64 beta (+.f64 3 beta)))))
(fma.f64 (*.f64 alpha alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 3 beta) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2))))) (fma.f64 (+.f64 (/.f64 beta (+.f64 3 beta)) (-.f64 (/.f64 1 (+.f64 3 beta)) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2))))) alpha (+.f64 (/.f64 1 (+.f64 3 beta)) (/.f64 beta (+.f64 3 beta)))))
(+.f64 (.f64 (pow.f64 alpha 2) (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (/.f64 beta (pow.f64 (+.f64 beta 3) 4)))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))))))
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(*.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))

localize55.0ms (0.3%)

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)

series17.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite117.0ms (0.6%)

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

simplify240.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	961	25429
1	3441	25237

Stop Event

1×	node limit

Counts

265 → 510

Calls

Call 1

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

eval1.8s (9.6%)

Compiler: Compiled 71508 to 50562 computations (29.3% saved)

prune684.0ms (3.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	1430	19	1449
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	1433	19	1452

Error

Counts

1452 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	4.6b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	18.6b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (.f64 beta alpha)) (/.f64 (.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	4.7b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	62.7b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
	25.0b	(/.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)))
	0.6b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))))) (+.f64 alpha (+.f64 beta 3)))
	30.4b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	15.8b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	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)))
	4.6b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (fma.f64 beta (.f64 2 (+.f64 alpha 2)) (+.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
▶	4.6b	(/.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 alpha beta) 3) (.f64 (+.f64 1 alpha) (+.f64 1 beta)))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	61.7b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	9.1b	(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
▶	17.1b	(/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
▶	29.0b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	33.8b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	2.0b	(.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
	0.2b	(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 888 to 624 computations (29.7% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 114 to 74 computations (35.1% saved)

series16.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`add-sqr-sqrt`
554×	`pow1`
554×	`*-un-lft-identity`
534×	`add-cbrt-cube`
534×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	172
1	548	172

Stop Event

1×	node limit

Counts

4 → 149

Calls

Call 1

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

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

simplify199.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1346×	`+-commutative`
1200×	`associate-r`
1096×	`associate-l`
1090×	`associate-+r+`
1082×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	920	27043
1	3281	26593

Stop Event

1×	node limit

Counts

245 → 440

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.0b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite134.0ms (0.7%)

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))))))))

simplify60.0ms (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)))
✓	3.0b	(/.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	beta	@	inf	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	-inf	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	-inf	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite102.0ms (0.5%)

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))))))))

simplify110.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

87 → 186

Calls

Call 1

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

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

localize24.0ms (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)))

0.1b

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

✓

0.8b

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

rewrite116.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`associate-/r/`
454×	`associate-+l+`
452×	`+-commutative`
396×	`associate-+r+`
382×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	61
1	363	49
2	5643	49

Stop Event

1×	node limit

Counts

1 → 101

Calls

Call 1

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

Outputs

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(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (/.f64 (+.f64 alpha 1) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 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 alpha (+.f64 beta 2)) 2))) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 4 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (+.f64 alpha beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (-.f64 -1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) 1) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (sqrt.f64 (+.f64 alpha 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) 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simplify125.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1646×	`distribute-lft-in`
1066×	`*-commutative`
886×	`associate-r`
776×	`associate-l`
740×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	598	16147
1	2399	15947

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

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (/.f64 (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 1 alpha) (+.f64 1 beta))))
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	2.9b	(/.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 alpha beta) 3) (.f64 (+.f64 1 alpha) (+.f64 1 beta)))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	3.1b	(/.f64 (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))

Compiler

Compiled 102 to 65 computations (36.3% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	alpha	@	0	(/.f64 (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))
1.0ms	alpha	@	0	(/.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 alpha beta) 3) (.f64 (+.f64 1 alpha) (+.f64 1 beta)))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	0	(/.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 alpha beta) 3) (.f64 (+.f64 1 alpha) (+.f64 1 beta)))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	0	(/.f64 (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))
0.0ms	beta	@	-inf	(/.f64 (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))

rewrite154.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`associate-+l+`
554×	`+-commutative`
498×	`associate-+r+`
466×	`add-sqr-sqrt`
454×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	147
1	445	135
2	7059	135

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

Inputs

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

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

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

Outputs

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(2) ((x pow.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (+.f64 beta 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (+.f64 beta 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (+.f64 beta 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (+.f64 beta 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha 1) (neg.f64 (+.f64 beta 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (+.f64 beta 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (+.f64 beta 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (+.f64 beta 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) (pow.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 alpha (+.f64 beta 3))) (+.f64 (log1p.f64 alpha) (log1p.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 alpha (+.f64 beta 3))) (+.f64 (log1p.f64 alpha) (log1p.f64 beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 1)))) (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha 1)) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (*.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (*.f64 alpha beta))) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) (*.f64 (+.f64 beta (*.f64 alpha beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta (*.f64 alpha beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) (*.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha 1) (/.f64 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simplify170.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1202×	`+-commutative`
1114×	`associate-r`
1010×	`associate-l`
1002×	`associate-+r+`
994×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	853	21911
1	3013	21265

Stop Event

1×	node limit

Counts

209 → 420

Calls

Call 1

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

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

eval2.0s (10.8%)

Compiler: Compiled 85095 to 61110 computations (28.2% saved)

prune633.0ms (3.3%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1800	17	1817
Fresh	5	9	14
Picked	1	0	1
Done	2	2	4
Total	1808	28	1836

Error

Counts

1836 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	34.1b	(pow.f64 beta -2)
	2.8b	(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 alpha alpha)) (.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 1 alpha))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (+.f64 alpha (+.f64 beta 3)))
	4.2b	(/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (+.f64 alpha (+.f64 beta 3)))
	4.6b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	18.6b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (.f64 beta alpha)) (/.f64 (.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	4.7b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	62.7b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
	25.0b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
▶	30.4b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
▶	15.8b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	4.1b	(/.f64 (/.f64 (.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))) (+.f64 2 (-.f64 alpha beta))) (+.f64 1 alpha)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (+.f64 alpha (+.f64 beta 3)))
	4.7b	(/.f64 (/.f64 1 (/.f64 (+.f64 beta 3) (+.f64 beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	9.1b	(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
	17.1b	(/.f64 (+.f64 alpha 1) (.f64 (+.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))) (+.f64 (+.f64 alpha beta) 2)))
	29.8b	(/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
	46.4b	(/.f64 (+.f64 alpha 1) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
	60.3b	(/.f64 (+.f64 alpha 1) (.f64 (.f64 alpha alpha) (+.f64 (+.f64 alpha beta) 2)))
✓	29.0b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	33.8b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	61.4b	(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
▶	3.7b	(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 (+.f64 beta 2) alpha)) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (+.f64 1 alpha) (/.f64 1 (-.f64 -1 beta)))) (+.f64 alpha (+.f64 beta 3)))
	46.1b	(/.f64 alpha (*.f64 beta beta))
	34.7b	(/.f64 1 (*.f64 beta beta))
	61.4b	(/.f64 1 (*.f64 alpha alpha))
▶	62.4b	(/.f64 1 alpha)
▶	0.2b	(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
	52.1b	(.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)))))
	31.0b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))

Compiler

Compiled 1122 to 776 computations (30.8% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 104 to 71 computations (31.7% saved)

series19.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite123.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	190
1	442	178
2	6965	178

Stop Event

1×	node limit

Counts

4 → 186

Calls

Call 1

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

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

simplify196.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1438×	`associate-/r*`
1348×	`associate-+r+`
1250×	`associate-+l+`
868×	`associate-*r/`
804×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1067	28888
1	3824	28154

Stop Event

1×	node limit

Counts

282 → 523

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize12.0ms (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)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite85.0ms (0.4%)

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

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

simplify116.0ms (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)))))
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(.f64 (/.f64 (+.f64 1 alpha) (.f64 (sqrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (.f64 beta (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))))) (sqrt.f64 (+.f64 alpha (-.f64 -3 beta))))
(.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 1 alpha) beta) (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (.f64 alpha alpha))) (/.f64 (+.f64 1 alpha) beta)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 3 alpha))) (hypot.f64 (pow.f64 (+.f64 beta 3) 3/2) (pow.f64 alpha 3/2))))
(.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 1 alpha) beta) (.f64 (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2))) (cbrt.f64 (+.f64 (-.f64 alpha beta) -3)))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (cbrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2)))) (cbrt.f64 (+.f64 alpha (-.f64 -3 beta))))
(.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))))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2)) (cbrt.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (.f64 alpha alpha))))
(pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 1)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) 2)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) 3)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 3) 1/3)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 beta (+.f64 alpha 1))) -1)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (-.f64 -3 (+.f64 alpha beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 1 (-.f64 -3 (+.f64 beta alpha))))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha)) 2))
(fabs.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha))))
(log.f64 (exp.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)))
(log.f64 (+.f64 1 (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)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(/.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)

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

0.0b

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

✓

0.9b

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

Compiler

Compiled 58 to 39 computations (32.8% saved)

series7.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite114.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (/.f64 (+.f64 alpha 3) (+.f64 1 alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (/.f64 (+.f64 alpha 3) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (/.f64 (+.f64 alpha 3) (+.f64 1 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 2))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (neg.f64 (neg.f64 (/.f64 1 (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 1 (+.f64 alpha 3))))))) (#(struct:change #<rule 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simplify176.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

135 → 228

Calls

Call 1

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

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

localize88.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 1 (+.f64 (+.f64 beta 2) alpha)) (-.f64 (-.f64 -2 beta) alpha))
✓	0.1b	(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 (+.f64 beta 2) alpha)) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (+.f64 1 alpha) (/.f64 1 (-.f64 -1 beta)))) (+.f64 alpha (+.f64 beta 3)))
✓	0.1b	(/.f64 (+.f64 1 alpha) (/.f64 1 (-.f64 -1 beta)))
✓	16.3b	(*.f64 (/.f64 (/.f64 1 (+.f64 (+.f64 beta 2) alpha)) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (+.f64 1 alpha) (/.f64 1 (-.f64 -1 beta))))

Compiler

Compiled 125 to 89 computations (28.8% saved)

series12.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

596×	`add-sqr-sqrt`
580×	`pow1`
580×	`*-un-lft-identity`
558×	`add-cbrt-cube`
558×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	214
1	572	184

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

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

simplify258.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1244×	`+-commutative`
1220×	`associate-r`
1138×	`associate-l`
1000×	`associate-+r+`
964×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	893	26384
1	3162	25526

Stop Event

1×	node limit

Counts

236 → 404

Calls

Call 1

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

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

eval1.7s (8.9%)

Compiler: Compiled 73003 to 53752 computations (26.4% saved)

prune643.0ms (3.4%)

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	1484	19	1503
Fresh	6	15	21
Picked	1	0	1
Done	3	3	6
Total	1494	37	1531

Error

Counts

1531 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	34.1b	(pow.f64 beta -2)
	4.2b	(/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (+.f64 alpha (+.f64 beta 3)))
	4.6b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	18.6b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (.f64 beta alpha)) (/.f64 (.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	25.0b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
▶	62.7b	(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
	15.8b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (+.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
✓	15.8b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	45.1b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 beta beta))
	61.3b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 alpha alpha))
	31.0b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
▶	0.1b	(/.f64 (/.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (neg.f64 (+.f64 1 alpha))) (.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 -1 (-.f64 -1 beta)))) (+.f64 alpha (+.f64 beta 3)))
	43.2b	(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
	4.7b	(/.f64 (/.f64 1 (/.f64 (+.f64 beta 3) (+.f64 beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	33.5b	(/.f64 (/.f64 1 beta) (+.f64 beta 3))
	16.1b	(/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	9.1b	(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
	29.8b	(/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
▶	46.4b	(/.f64 (+.f64 alpha 1) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
✓	29.0b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	61.4b	(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
	0.7b	(/.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 beta)) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
	35.4b	(/.f64 (.f64 (/.f64 -1 (.f64 beta beta)) (/.f64 (+.f64 1 alpha) (/.f64 1 (-.f64 -1 beta)))) (+.f64 alpha (+.f64 beta 3)))
	46.1b	(/.f64 alpha (*.f64 beta beta))
	30.0b	(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	34.1b	(/.f64 1 (*.f64 beta (+.f64 beta 3)))
	34.7b	(/.f64 1 (*.f64 beta beta))
	61.4b	(/.f64 1 (*.f64 alpha alpha))
▶	60.3b	(/.f64 1 beta)
✓	62.4b	(/.f64 1 alpha)
	16.5b	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	4.2b	(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (+.f64 3 beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
	10.0b	(.f64 (/.f64 (/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 -2 (+.f64 beta alpha)))) (+.f64 beta (+.f64 3 alpha))) (*.f64 (+.f64 1 alpha) (-.f64 -1 beta)))
	30.4b	(*.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 1 (-.f64 -3 (+.f64 beta alpha))))
	52.1b	(.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)))))
	31.0b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	0.2b	(.f64 (.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 1305 to 917 computations (29.7% saved)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 132 to 90 computations (31.8% saved)

series65.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
53.0ms	alpha	@	0	(/.f64 (/.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (neg.f64 (+.f64 1 alpha))) (.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 -1 (-.f64 -1 beta)))) (+.f64 alpha (+.f64 beta 3)))
4.0ms	beta	@	-inf	(*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 -1 (-.f64 -1 beta)))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (neg.f64 (+.f64 1 alpha))) (.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 -1 (-.f64 -1 beta)))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	beta	@	0	(/.f64 (/.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (neg.f64 (+.f64 1 alpha))) (.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 -1 (-.f64 -1 beta)))) (+.f64 alpha (+.f64 beta 3)))
0.0ms	beta	@	-inf	(/.f64 (/.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (neg.f64 (+.f64 1 alpha))) (.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 -1 (-.f64 -1 beta)))) (+.f64 alpha (+.f64 beta 3)))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`add-sqr-sqrt`
612×	`pow1`
612×	`*-un-lft-identity`
586×	`add-cbrt-cube`
586×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	162
1	609	150

Stop Event

1×	node limit

Counts

4 → 99

Calls

Call 1

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

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

simplify174.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1078×	`distribute-lft-in`
942×	`+-commutative`
850×	`*-commutative`
736×	`associate-/l*`
736×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	689	19007
1	2424	18425

Stop Event

1×	node limit

Counts

195 → 371

Calls

Call 1

Inputs
(*.f64 -1 (+.f64 2 alpha))
(+.f64 (.f64 (+.f64 1 alpha) beta) (.f64 -1 (+.f64 2 alpha)))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 1 alpha))) (+.f64 (.f64 (+.f64 1 alpha) beta) (.f64 -1 (+.f64 2 alpha))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 1 alpha))) (+.f64 (.f64 (+.f64 1 alpha) beta) (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (*.f64 -1 (+.f64 2 alpha)))))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)) 1)
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 alpha (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 alpha (pow.f64 beta 2))))) 1)
-1
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) 1)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 2))))) 1)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3))))))) 1)
(*.f64 -1 (/.f64 (+.f64 beta 2) (+.f64 beta 1)))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) (+.f64 beta 1))) (.f64 -1 (/.f64 alpha (+.f64 beta 1))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) (+.f64 beta 1))) (.f64 -1 (/.f64 alpha (+.f64 beta 1))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) (+.f64 beta 1))) (.f64 -1 (/.f64 alpha (+.f64 beta 1))))
(*.f64 -1 (/.f64 alpha (+.f64 beta 1)))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 beta 1))) (.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1))))))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 beta 1))) (.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1))))))
(+.f64 (.f64 -1 (/.f64 alpha (+.f64 beta 1))) (.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1))))))
(*.f64 -1 (/.f64 alpha (+.f64 beta 1)))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) (+.f64 beta 1))) (.f64 -1 (/.f64 alpha (+.f64 beta 1))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) (+.f64 beta 1))) (.f64 -1 (/.f64 alpha (+.f64 beta 1))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) (+.f64 beta 1))) (.f64 -1 (/.f64 alpha (+.f64 beta 1))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (+.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 7 (+.f64 alpha (.f64 2 alpha))) (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 4 (.f64 2 alpha)))))) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 4 (.f64 2 alpha))))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 4 (.f64 2 alpha)))))) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 4 (.f64 2 alpha))))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 4 (.f64 2 alpha))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 4 (.f64 2 alpha)))))) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 4 (.f64 2 alpha))))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 4 (.f64 2 alpha))))))) (pow.f64 beta 5)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (/.f64 alpha (pow.f64 beta 2))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
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(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))))
(exp.f64 (log.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))))
(.f64 1 (/.f64 (-.f64 -1 alpha) (.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))))
(.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (.f64 (/.f64 (-.f64 1 (/.f64 beta -1)) (-.f64 -2 (+.f64 beta alpha))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (-.f64 -1 alpha) (.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) 1)
(.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))))) (.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (.f64 (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (/.f64 (-.f64 -1 alpha) (.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))) 2)) (.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (.f64 (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (.f64 (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) 2)) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))))
(.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 -2 (+.f64 beta alpha))) (.f64 (*.f64 (/.f64 (-.f64 -1 alpha) -1) (-.f64 -1 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 (/.f64 (-.f64 1 (/.f64 beta -1)) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 3)) 2))) (/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (+.f64 (.f64 alpha alpha) (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (.f64 (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) 1/2) (pow.f64 (/.f64 (-.f64 -1 alpha) (.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) 1/2))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))))
(*.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (-.f64 1 (/.f64 beta -1)) (-.f64 -2 (+.f64 beta alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 3)) 2))) (/.f64 (/.f64 (-.f64 1 (/.f64 beta -1)) (-.f64 -2 (+.f64 beta alpha))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))))) 1) (/.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 3)) 2))) (/.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))) 2)) 1) (/.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))) 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))) 2)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 3)) 2))) (/.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 -2 (+.f64 beta alpha))) 1) (/.f64 (.f64 (/.f64 (-.f64 -1 alpha) -1) (-.f64 -1 beta)) (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 -2 (+.f64 beta alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (.f64 (/.f64 (-.f64 -1 alpha) -1) (-.f64 -1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 -2 (+.f64 beta alpha))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 3)) 2))) (/.f64 (.f64 (/.f64 (-.f64 -1 alpha) -1) (-.f64 -1 beta)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(pow.f64 (/.f64 (-.f64 -1 alpha) (.f64 (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) 1)
(neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3)))))
(neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta)))) (neg.f64 (+.f64 beta (+.f64 alpha 3)))))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 alpha) (.f64 (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (.f64 (/.f64 (-.f64 -1 alpha) (.f64 (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (/.f64 (-.f64 -1 alpha) (.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) 2)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (.f64 (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (.f64 (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 alpha) (.f64 (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1) (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha)))
(+.f64 (.f64 -1 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(-.f64 0 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 2))))
(-.f64 (/.f64 0 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 2))))
(/.f64 -1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 1)))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 alpha)))
(/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (sqrt.f64 (-.f64 -1 alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (-.f64 -1 alpha))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (-.f64 -1 alpha))))
(/.f64 (*.f64 (-.f64 -1 alpha) -1) (neg.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 -1 (-.f64 -1 alpha)) (neg.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (-.f64 -1 alpha) 1) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (-.f64 -1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (-.f64 -1 alpha) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 2))))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (*.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (.f64 beta beta) (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1/2) (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1/2))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (+.f64 beta (+.f64 alpha 2))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))

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

localize3.0ms (0%)

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite377.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1980×	`add-sqr-sqrt`
1964×	`*-un-lft-identity`
1840×	`add-cube-cbrt`
1818×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	172	32
2	2418	32

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1390×	`times-frac`
1064×	`unswap-sqr`
960×	`associate-/r*`
866×	`distribute-lft-in`
846×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	2598
1	432	2522
2	2030	2246

Stop Event

1×	node limit

Counts

118 → 102

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2))
✓	0.8b	(/.f64 (+.f64 alpha 1) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))

Compiler

Compiled 42 to 19 computations (54.8% saved)

series19.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	beta	@	inf	(/.f64 (+.f64 alpha 1) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
1.0ms	alpha	@	0	(/.f64 (+.f64 alpha 1) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
1.0ms	alpha	@	-inf	(/.f64 (+.f64 alpha 1) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
1.0ms	alpha	@	inf	(/.f64 (+.f64 alpha 1) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
0.0ms	beta	@	0	(/.f64 (+.f64 alpha 1) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1854×	`associate-/l*`
898×	`associate-/r/`
750×	`associate-/l/`
292×	`+-commutative`
292×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	279	62
2	4216	62

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

Outputs

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#<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) (+.f64 alpha (+.f64 beta 2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta beta) (+.f64 alpha beta)) (*.f64 beta (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 (*.f64 beta beta) (+.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 beta 3) (+.f64 (*.f64 (*.f64 beta beta) alpha) (*.f64 beta (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 beta 3) (+.f64 (*.f64 alpha (*.f64 beta beta)) (*.f64 beta (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta beta) alpha) (*.f64 (*.f64 beta beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta beta) alpha) (+.f64 (pow.f64 beta 3) (*.f64 beta (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta beta) (+.f64 beta 2)) (*.f64 (*.f64 beta beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (*.f64 beta beta)) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (*.f64 beta beta)) (+.f64 (pow.f64 beta 3) (*.f64 beta (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 beta beta) (+.f64 alpha beta)) 1) (*.f64 (*.f64 beta (*.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta (*.f64 beta 2)) 1) (*.f64 (*.f64 (*.f64 beta beta) (+.f64 alpha beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) (*.f64 beta beta)) (*.f64 alpha (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 beta (*.f64 beta 2)) (pow.f64 beta 3)) (*.f64 (*.f64 beta beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 beta (*.f64 beta 2)) (pow.f64 beta 3)) (*.f64 alpha (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 (*.f64 beta beta) alpha)) (pow.f64 beta 3))))) (#(struct:change #<rule 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fma.f64 (*.f64 beta beta) (+.f64 alpha beta) (*.f64 beta (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha beta) (*.f64 beta beta) (*.f64 beta (*.f64 beta 2)))))))

simplify150.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1230×	`associate-+r+`
688×	`associate-/r*`
672×	`associate-r`
584×	`*-commutative`
554×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	485	9672
1	1573	9102
2	7107	9102

Stop Event

1×	node limit

Counts

176 → 263

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.0b

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

0.1b

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

✓

6.6b

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

Compiler

Compiled 82 to 46 computations (43.9% saved)

series10.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	0	(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
2.0ms	alpha	@	0	(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
1.0ms	alpha	@	-inf	(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
1.0ms	beta	@	-inf	(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
1.0ms	alpha	@	inf	(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`associate-+l+`
538×	`+-commutative`
484×	`associate-+r+`
416×	`add-sqr-sqrt`
406×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	67
1	393	55
2	6222	55

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify141.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate--r+`
856×	`distribute-lft-in`
788×	`distribute-rgt-in`
572×	`associate-+r-`
572×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	9254
1	1355	8436
2	6791	8408

Stop Event

1×	node limit

Counts

66 → 132

Calls

Call 1

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

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

eval1.0s (5.5%)

Compiler: Compiled 48088 to 33902 computations (29.5% saved)

prune431.0ms (2.3%)

Pruning

40 alts after pruning (36 fresh and 4 done)

	Pruned	Kept	Total
New	1123	8	1131
Fresh	1	28	29
Picked	1	0	1
Done	3	4	7
Total	1128	40	1168

Error

Counts

1168 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	34.1b	(pow.f64 beta -2)
	30.4b	(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 -1 (-.f64 -1 beta)))) (+.f64 alpha (+.f64 beta 3)))
	4.2b	(/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (+.f64 alpha (+.f64 beta 3)))
	4.6b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	18.6b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (.f64 beta alpha)) (/.f64 (.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	25.0b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	15.8b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (+.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
✓	15.8b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	61.3b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 alpha alpha))
	31.0b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	62.5b	(/.f64 (/.f64 beta alpha) alpha)
	43.2b	(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
	4.7b	(/.f64 (/.f64 1 (/.f64 (+.f64 beta 3) (+.f64 beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	46.4b	(/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 beta 2))
	33.5b	(/.f64 (/.f64 1 beta) (+.f64 beta 3))
	61.5b	(/.f64 (/.f64 1 alpha) alpha)
	16.1b	(/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	39.7b	(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
	46.4b	(/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 1 (*.f64 beta beta))))
	29.8b	(/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
✓	29.0b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	61.4b	(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
	0.7b	(/.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 beta)) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
	35.4b	(/.f64 (.f64 (/.f64 -1 (.f64 beta beta)) (/.f64 (+.f64 1 alpha) (/.f64 1 (-.f64 -1 beta)))) (+.f64 alpha (+.f64 beta 3)))
	61.7b	(/.f64 beta (*.f64 alpha alpha))
	46.1b	(/.f64 alpha (*.f64 beta beta))
	30.0b	(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	34.1b	(/.f64 1 (*.f64 beta (+.f64 beta 3)))
	34.7b	(/.f64 1 (*.f64 beta beta))
	61.4b	(/.f64 1 (*.f64 alpha alpha))
✓	60.3b	(/.f64 1 beta)
✓	62.4b	(/.f64 1 alpha)
	16.5b	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	4.2b	(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (+.f64 3 beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
	10.0b	(.f64 (/.f64 (/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 -2 (+.f64 beta alpha)))) (+.f64 beta (+.f64 3 alpha))) (*.f64 (+.f64 1 alpha) (-.f64 -1 beta)))
	30.4b	(*.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 1 (-.f64 -3 (+.f64 beta alpha))))
	62.7b	(*.f64 (/.f64 (+.f64 1 beta) alpha) (/.f64 1 alpha))
	52.1b	(.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)))))
	31.0b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	0.2b	(.f64 (.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 682 to 479 computations (29.8% saved)

regimes178.0ms (0.9%)

Counts

67 → 1

Calls

Call 1

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

3 calls:

68.0ms

beta

35.0ms

alpha

20.0ms

(/.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 1245 to 789 computations (36.6% saved)

regimes82.0ms (0.4%)

Counts

46 → 1

Calls

Call 1

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

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:

41.0ms	beta
26.0ms	alpha

Results

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

Compiler

Compiled 594 to 370 computations (37.7% saved)

regimes96.0ms (0.5%)

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

42.0ms	alpha
42.0ms	beta

Results

Error	Segments	Branch
0.8b	2	`alpha`
0.1b	2	`beta`

Compiler

Compiled 498 to 307 computations (38.4% saved)

bsearch26.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	48.252432202005316	188302502.05972633

Results

24.0ms

144×

body

256

valid

Compiler

Compiled 456 to 316 computations (30.7% saved)

regimes95.0ms (0.5%)

Counts

41 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

41.0ms	alpha
40.0ms	beta

Results

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

Compiler

Compiled 475 to 294 computations (38.1% saved)

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
28.0ms	188302502.05972633	4.87049283305684e+21

Results

26.0ms

160×

body

256

valid

Compiler

Compiled 462 to 348 computations (24.7% saved)

regimes94.0ms (0.5%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

2 calls:

47.0ms	beta
37.0ms	alpha

Results

Error	Segments	Branch
9.8b	2	`alpha`
1.2b	2	`beta`

Compiler

Compiled 334 to 199 computations (40.4% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	0.232499646616049	2.7838013492247495

Results

15.0ms

96×

body

256

valid

Compiler

Compiled 282 to 208 computations (26.2% saved)

regimes97.0ms (0.5%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

2 calls:

58.0ms	alpha
32.0ms	beta

Results

Error	Segments	Branch
10.2b	2	`alpha`
1.5b	2	`beta`

Compiler

Compiled 317 to 187 computations (41% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	2.7838013492247495	26.455593682747555

Results

15.0ms

96×

body

256

valid

Compiler

Compiled 246 to 178 computations (27.6% saved)

regimes70.0ms (0.4%)

Counts

31 → 2

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	alpha
30.0ms	beta

Results

Error	Segments	Branch
10.5b	2	`alpha`
2.3b	2	`beta`

Compiler

Compiled 283 to 164 computations (42% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	2.7838013492247495	26.455593682747555

Results

14.0ms

96×

body

256

valid

Compiler

Compiled 222 to 160 computations (27.9% saved)

regimes34.0ms (0.2%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	alpha
14.0ms	beta

Results

Error	Segments	Branch
30.4b	1	`alpha`
30.4b	1	`beta`

Compiler

Compiled 186 to 107 computations (42.5% saved)

regimes64.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

46.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
31.0b	1	`alpha`
31.0b	1	`beta`

Compiler

Compiled 151 to 84 computations (44.4% saved)

regimes24.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

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

Calls

2 calls:

12.0ms	beta
8.0ms	alpha

Results

Error	Segments	Branch
33.5b	1	`alpha`
33.5b	1	`beta`

Compiler

Compiled 79 to 42 computations (46.8% saved)

regimes21.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	alpha
8.0ms	beta

Results

Error	Segments	Branch
33.8b	1	`alpha`
33.8b	1	`beta`

Compiler

Compiled 72 to 37 computations (48.6% saved)

regimes18.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	alpha
7.0ms	beta

Results

Error	Segments	Branch
34.1b	1	`alpha`
34.1b	1	`beta`

Compiler

Compiled 58 to 31 computations (46.6% saved)

regimes41.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	alpha
6.0ms	beta

Results

Error	Segments	Branch
34.7b	1	`alpha`
34.7b	1	`beta`

Compiler

Compiled 44 to 23 computations (47.7% saved)

regimes12.0ms (0.1%)

Accuracy

Total -2.7b remaining (-4.5%)

Threshold costs -2.7b (-4.5%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 1 beta)

Calls

2 calls:

7.0ms	alpha
4.0ms	beta

Results

Error	Segments	Branch
60.3b	1	`alpha`
60.3b	1	`beta`

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative`
18×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	785
1	104	785

Stop Event

1×	fuel
1×	saturated

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 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 42000000) (/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3700000000000000000) (.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (+.f64 3 beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4728779608739021/2251799813685248) (/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3715469692580659/281474976710656) (/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 18) (/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 1 (*.f64 beta beta))
(/.f64 1 beta)
(/.f64 1 alpha)

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)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.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 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 42000000) (/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 42000000) (/.f64 (+.f64 alpha (+.f64 1 beta)) (.f64 (+.f64 2 (+.f64 alpha beta)) (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3700000000000000000) (.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (+.f64 3 beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3700000000000000000) (.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4728779608739021/2251799813685248) (/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4728779608739021/2251799813685248) (/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 (+.f64 alpha beta)) (.f64 (+.f64 alpha 3) (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3715469692580659/281474976710656) (/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3715469692580659/281474976710656) (/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 (+.f64 alpha beta)) (.f64 (+.f64 alpha 3) (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 18) (/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 alpha 1) beta) beta)
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 alpha 1) (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 1 (*.f64 beta beta))
(/.f64 1 beta)
(/.f64 1 alpha)

Compiler

Compiled 310 to 221 computations (28.7% saved)

soundness729.0ms (3.9%)

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)

end165.0ms (0.9%)

Compiler: Compiled 336 to 228 computations (32.1% saved)