Details

analyze94.0ms (0.5%)

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)

sample1.3s (6.3%)

Results

1.2s

8256×

body

256

valid

Bogosity

preprocess349.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs

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

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

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

Symmetry

(sort alpha beta)

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify616.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs

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

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

eval3.0ms (0%)

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

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

0.0b

Counts

10 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.6b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	0.1b	(/.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)))
▶	3.6b	(/.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))))
▶	9.3b	(/.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 111 to 73 computations (34.2% saved)

localize31.0ms (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))
✓	9.2b	(/.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)

series23.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	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)))
3.0ms	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)))

rewrite118.0ms (0.6%)

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))))))

simplify146.0ms (0.7%)

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))

localize30.0ms (0.1%)

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)))
✓	1.7b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	2.6b	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 85 to 53 computations (37.6% saved)

series15.0ms (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	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 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
1.0ms	alpha	@	0	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
1.0ms	alpha	@	0	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	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))))))

simplify179.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	951	22563
1	3214	21831

Stop Event

1×	node limit

Counts

313 → 487

Calls

Call 1

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

localize70.0ms (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)

series19.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite189.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

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

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

simplify413.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	961	25429
1	3441	25237

Stop Event

1×	node limit

Counts

265 → 510

Calls

Call 1

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1))
✓	0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
✓	1.7b	(/.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))))
✓	2.6b	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))

Compiler

Compiled 93 to 46 computations (50.5% saved)

series51.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
40.0ms	alpha	@	0	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
1.0ms	beta	@	0	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	inf	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))

rewrite116.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	166
1	420	154
2	6857	154

Stop Event

1×	node limit

Counts

4 → 218

Calls

Call 1

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

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

simplify162.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1430×	`associate-r`
1414×	`+-commutative`
1368×	`associate-l`
1104×	`associate-+r+`
856×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1001	24968
1	3393	24786

Stop Event

1×	node limit

Counts

314 → 517

Calls

Call 1

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

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

eval2.3s (11.4%)

Compiler: Compiled 97829 to 67911 computations (30.6% saved)

prune972.0ms (4.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	1949	17	1966
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1953	17	1970

Error

Counts

1970 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	3.6b	(/.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))))
	29.8b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2)))))
▶	3.8b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	3.8b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	62.8b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
▶	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	19.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
▶	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	23.3b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	18.0b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	62.0b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	43.8b	(/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
	19.9b	(/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
▶	21.4b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	25.3b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	1.4b	(.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 766 to 528 computations (31.1% saved)

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 104 to 60 computations (42.3% saved)

series47.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
31.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
3.0ms	alpha	@	-inf	(/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))))
2.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))

rewrite138.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 178

Calls

Call 1

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

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

simplify206.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	973	28074
1	3416	27838

Stop Event

1×	node limit

Counts

274 → 517

Calls

Call 1

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

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

localize46.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.8b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 51

Calls

Call 1

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

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

localize24.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
✓	1.7b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 52 to 30 computations (42.3% saved)

series9.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify97.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

66 → 144

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

0.0b

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

✓

0.4b

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

Compiler

Compiled 58 to 39 computations (32.8% saved)

series9.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

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

simplify153.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

134 → 220

Calls

Call 1

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

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

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 119 to 77 computations (35.3% saved)

series20.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	220
1	524	182

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

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

simplify194.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1008	27921
1	3566	27283

Stop Event

1×	node limit

Counts

293 → 531

Calls

Call 1

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

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

eval1.5s (7.5%)

Compiler: Compiled 78170 to 57006 computations (27.1% saved)

prune606.0ms (3%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	1697	17	1714
Fresh	6	6	12
Picked	0	1	1
Done	2	2	4
Total	1705	26	1731

Error

Counts

1731 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	26.6b	(pow.f64 beta -2)
	3.6b	(/.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))))
▶	19.8b	(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
✓	3.8b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	3.8b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	17.9b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 alpha (+.f64 beta 3)))
	23.5b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
	19.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	23.3b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	18.0b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	22.8b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
	20.2b	(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	19.9b	(/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
	49.4b	(/.f64 (+.f64 1 alpha) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))) (.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2)))))
	21.4b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
✓	25.3b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	61.7b	(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
▶	0.2b	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha beta))) (.f64 (+.f64 beta 1) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	41.7b	(/.f64 alpha (*.f64 beta beta))
▶	23.1b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	27.0b	(/.f64 1 (*.f64 beta beta))
▶	62.5b	(/.f64 1 alpha)
	18.4b	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	1.8b	(.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 (-.f64 -1 beta) (.f64 (+.f64 (+.f64 beta 3) alpha) (-.f64 -2 (+.f64 beta alpha)))))
	23.8b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))

Compiler

Compiled 865 to 616 computations (28.8% saved)

localize81.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 104 to 63 computations (39.4% saved)

series12.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite142.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

456×	`+-commutative`
454×	`add-sqr-sqrt`
442×	`pow1`
442×	`*-un-lft-identity`
440×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	178
1	436	154
2	6737	154

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

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

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

simplify224.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1588×	`associate-r`
1486×	`associate-l`
1434×	`+-commutative`
1144×	`associate-+r+`
762×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	964	25808
1	3348	25356

Stop Event

1×	node limit

Counts

262 → 481

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 beta 3) (+.f64 beta 2))
✓	0.4b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))

Compiler

Compiled 28 to 21 computations (25% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite139.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 218

Calls

Call 1

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

Outputs

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

simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

242 → 359

Calls

Call 1

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

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

localize33.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 50 to 33 computations (34% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`associate-/l/`
428×	`+-commutative`
370×	`add-sqr-sqrt`
358×	`pow1`
358×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	349	68
2	5344	68

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify113.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

692×	`associate-+r-`
678×	`distribute-lft-in`
624×	`distribute-rgt-in`
612×	`associate-r`
584×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	464	9700
1	1552	9152
2	7536	9152

Stop Event

1×	node limit

Counts

128 → 228

Calls

Call 1

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

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

localize29.0ms (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))

✓

0.7b

(/.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)

series9.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	alpha	@	0	(/.f64 (+.f64 alpha 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 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)))

rewrite112.0ms (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

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

simplify193.0ms (1%)

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

eval1.6s (7.8%)

Compiler: Compiled 64596 to 47166 computations (27% saved)

prune471.0ms (2.3%)

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	1564	10	1574
Fresh	6	12	18
Picked	1	0	1
Done	1	6	7
Total	1572	28	1600

Error

Counts

1600 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	26.6b	(pow.f64 beta -2)
✓	19.8b	(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
	23.3b	(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 (-.f64 -3 beta) alpha))
✓	3.8b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	3.8b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	17.9b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 alpha (+.f64 beta 3)))
	19.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	22.8b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
	20.2b	(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	36.4b	(/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
	49.4b	(/.f64 (+.f64 1 alpha) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))) (.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2)))))
	21.4b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
✓	25.3b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	23.5b	(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 alpha (+.f64 beta 3)))
	41.7b	(/.f64 alpha (*.f64 beta beta))
▶	56.4b	(/.f64 1 (+.f64 6 (*.f64 beta 5)))
✓	23.1b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	26.5b	(/.f64 1 (*.f64 beta (+.f64 beta 5)))
	27.0b	(/.f64 1 (*.f64 beta beta))
	61.6b	(/.f64 1 (*.f64 alpha alpha))
✓	62.5b	(/.f64 1 alpha)
▶	18.4b	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	58.8b	(+.f64 (*.f64 -5/36 beta) 1/6)
	19.9b	(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha))) (/.f64 1 (+.f64 2 (+.f64 beta alpha))))
▶	0.2b	(.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
	23.8b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	57.9b	1/6

Compiler

Compiled 765 to 558 computations (27.1% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 alpha (+.f64 beta 3)))
✓	0.0b	(.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
✓	0.0b	(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))
✓	0.2b	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))

Compiler

Compiled 98 to 67 computations (31.6% saved)

series12.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite111.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`+-commutative`
478×	`associate-+l+`
458×	`add-sqr-sqrt`
446×	`pow1`
446×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	160
1	439	148
2	6838	148

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 alpha) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 3)) (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (/.f64 (+.f64 alpha (+.f64 beta 3)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 alpha)) (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -3) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 alpha)) (.f64 (+.f64 alpha (+.f64 beta 3)) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 alpha)) (.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -3) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 alpha)) (neg.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 alpha) -1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (neg.f64 (+.f64 alpha beta)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 -1 (neg.f64 alpha))) (neg.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) (neg.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (neg.f64 (+.f64 alpha beta)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1 (neg.f64 alpha)) 1) (.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 alpha (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) 1) (+.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1 (neg.f64 alpha)) -1) (.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (+.f64 -1 (neg.f64 alpha))) (.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -3) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (neg.f64 (+.f64 alpha beta)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3)))) (neg.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 3) (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 alpha) (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 alpha)) (.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) (.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 alpha) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 alpha) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))))))))
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simplify159.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1592×	`associate-r`
1436×	`associate-l`
1270×	`+-commutative`
942×	`associate-+r+`
676×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	938	23648
1	3337	23162

Stop Event

1×	node limit

Counts

260 → 451

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -5/36 beta) 1/6)
✓	0.3b	(*.f64 -5/36 beta)

Compiler

Compiled 13 to 10 computations (23.1% saved)

series2.0ms (0%)

Counts

2 → 9

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	inf	(*.f64 -5/36 beta)
0.0ms	beta	@	0	(*.f64 -5/36 beta)
0.0ms	beta	@	-inf	(*.f64 -5/36 beta)
0.0ms	beta	@	inf	(+.f64 (*.f64 -5/36 beta) 1/6)
0.0ms	beta	@	0	(+.f64 (*.f64 -5/36 beta) 1/6)

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1536×	`add-sqr-sqrt`
1498×	`*-un-lft-identity`
1420×	`add-cube-cbrt`
1410×	`add-cbrt-cube`
1396×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	154	16
2	1844	16

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(*.f64 -5/36 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -5/36 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -5/36 beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -5/36 beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -5/36 beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -125/46656 (pow.f64 beta 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 25/1296 (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 beta) -5/36))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -125/46656 (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -5/36 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -5/36 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -5/36 beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -5/36 beta)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -5/36 beta 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 25/1296 (*.f64 beta beta)) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -5/36 beta 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -5/36 beta 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -5/36 beta 1/6)) (sqrt.f64 (fma.f64 -5/36 beta 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) (pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 2) (cbrt.f64 (fma.f64 -5/36 beta 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 25/1296 (*.f64 beta beta)) -1/36) (/.f64 1 (fma.f64 -5/36 beta -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/216 (*.f64 -125/46656 (pow.f64 beta 3))) (/.f64 1 (+.f64 (*.f64 25/1296 (*.f64 beta beta)) (-.f64 1/36 (*.f64 beta -5/216)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -5/36 beta -1/6) (+.f64 (*.f64 25/1296 (*.f64 beta beta)) -1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 25/1296 (*.f64 beta beta)) (-.f64 1/36 (*.f64 beta -5/216))) (+.f64 1/216 (*.f64 -125/46656 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 25/1296 (*.f64 beta beta)) -1/36) (fma.f64 -5/36 beta -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (*.f64 -125/46656 (pow.f64 beta 3))) (+.f64 (*.f64 25/1296 (*.f64 beta beta)) (-.f64 1/36 (*.f64 beta -5/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (*.f64 -125/46656 (pow.f64 beta 3))) (+.f64 1/36 (-.f64 (*.f64 25/1296 (*.f64 beta beta)) (*.f64 beta -5/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/36 (*.f64 25/1296 (*.f64 beta beta))) (-.f64 1/6 (*.f64 -5/36 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 25/1296 (*.f64 beta beta)) -1/36)) (neg.f64 (fma.f64 -5/36 beta -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/216 (*.f64 -125/46656 (pow.f64 beta 3)))) (neg.f64 (+.f64 (*.f64 25/1296 (*.f64 beta beta)) (-.f64 1/36 (*.f64 beta -5/216)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -5/36 beta 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -5/36 beta 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -5/36 beta 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -5/36 beta 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -5/36 beta 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -5/36 beta 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -5/36 beta 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5/36 beta 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta -5/36 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -5/36 beta) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -5/36 beta)) (sqrt.f64 (*.f64 -5/36 beta)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -5/36 beta)) 2) (cbrt.f64 (*.f64 -5/36 beta)) 1/6)))))

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

994×	`associate-/l*`
994×	`associate-r`
914×	`*-commutative`
782×	`times-frac`
768×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	948
1	252	888
2	887	824
3	3873	740

Stop Event

1×	node limit

Counts

54 → 57

Calls

Call 1

Inputs
1/6
(*.f64 -5/36 beta)
(+.f64 1/6 (*.f64 -5/36 beta))
(+.f64 1/6 (*.f64 -5/36 beta))
(+.f64 1/6 (*.f64 -5/36 beta))
(*.f64 -5/36 beta)
(+.f64 1/6 (*.f64 -5/36 beta))
(+.f64 1/6 (*.f64 -5/36 beta))
(+.f64 1/6 (*.f64 -5/36 beta))
(-.f64 (+.f64 1 (*.f64 -5/36 beta)) 1)
(pow.f64 (*.f64 -5/36 beta) 1)
(pow.f64 (sqrt.f64 (*.f64 -5/36 beta)) 2)
(pow.f64 (cbrt.f64 (*.f64 -5/36 beta)) 3)
(pow.f64 (*.f64 -125/46656 (pow.f64 beta 3)) 1/3)
(sqrt.f64 (.f64 25/1296 (.f64 beta beta)))
(log.f64 (pow.f64 (exp.f64 beta) -5/36))
(cbrt.f64 (*.f64 -125/46656 (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (*.f64 -5/36 beta)))
(exp.f64 (log.f64 (*.f64 -5/36 beta)))
(exp.f64 (.f64 (log.f64 (.f64 -5/36 beta)) 1))
(log1p.f64 (expm1.f64 (*.f64 -5/36 beta)))
(-.f64 (+.f64 1 (fma.f64 -5/36 beta 1/6)) 1)
(-.f64 (/.f64 (.f64 25/1296 (.f64 beta beta)) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))
(*.f64 (fma.f64 -5/36 beta 1/6) 1)
(*.f64 1 (fma.f64 -5/36 beta 1/6))
(*.f64 (sqrt.f64 (fma.f64 -5/36 beta 1/6)) (sqrt.f64 (fma.f64 -5/36 beta 1/6)))
(*.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) (pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 2) (cbrt.f64 (fma.f64 -5/36 beta 1/6)))
(.f64 (+.f64 (.f64 25/1296 (*.f64 beta beta)) -1/36) (/.f64 1 (fma.f64 -5/36 beta -1/6)))
(.f64 (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3))) (/.f64 1 (+.f64 (.f64 25/1296 (.f64 beta beta)) (-.f64 1/36 (*.f64 beta -5/216)))))
(/.f64 1 (/.f64 (fma.f64 -5/36 beta -1/6) (+.f64 (.f64 25/1296 (.f64 beta beta)) -1/36)))
(/.f64 1 (/.f64 (+.f64 (.f64 25/1296 (.f64 beta beta)) (-.f64 1/36 (.f64 beta -5/216))) (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3)))))
(/.f64 (+.f64 (.f64 25/1296 (.f64 beta beta)) -1/36) (fma.f64 -5/36 beta -1/6))
(/.f64 (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3))) (+.f64 (.f64 25/1296 (.f64 beta beta)) (-.f64 1/36 (.f64 beta -5/216))))
(/.f64 (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3))) (+.f64 1/36 (-.f64 (.f64 25/1296 (.f64 beta beta)) (.f64 beta -5/216))))
(/.f64 (-.f64 1/36 (.f64 25/1296 (.f64 beta beta))) (-.f64 1/6 (*.f64 -5/36 beta)))
(/.f64 (neg.f64 (+.f64 (.f64 25/1296 (.f64 beta beta)) -1/36)) (neg.f64 (fma.f64 -5/36 beta -1/6)))
(/.f64 (neg.f64 (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3)))) (neg.f64 (+.f64 (.f64 25/1296 (.f64 beta beta)) (-.f64 1/36 (.f64 beta -5/216)))))
(pow.f64 (fma.f64 -5/36 beta 1/6) 1)
(pow.f64 (sqrt.f64 (fma.f64 -5/36 beta 1/6)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 3)
(pow.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 2))
(log.f64 (exp.f64 (fma.f64 -5/36 beta 1/6)))
(cbrt.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 3))
(expm1.f64 (log1p.f64 (fma.f64 -5/36 beta 1/6)))
(exp.f64 (log.f64 (fma.f64 -5/36 beta 1/6)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -5/36 beta 1/6)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -5/36 beta 1/6)))
(fma.f64 -5/36 beta 1/6)
(fma.f64 beta -5/36 1/6)
(fma.f64 1 (*.f64 -5/36 beta) 1/6)
(fma.f64 (sqrt.f64 (.f64 -5/36 beta)) (sqrt.f64 (.f64 -5/36 beta)) 1/6)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -5/36 beta)) 2) (cbrt.f64 (.f64 -5/36 beta)) 1/6)

Outputs
1/6
(*.f64 -5/36 beta)
(+.f64 1/6 (*.f64 -5/36 beta))
(fma.f64 -5/36 beta 1/6)
(+.f64 1/6 (*.f64 -5/36 beta))
(fma.f64 -5/36 beta 1/6)
(+.f64 1/6 (*.f64 -5/36 beta))
(fma.f64 -5/36 beta 1/6)
(*.f64 -5/36 beta)
(+.f64 1/6 (*.f64 -5/36 beta))
(fma.f64 -5/36 beta 1/6)
(+.f64 1/6 (*.f64 -5/36 beta))
(fma.f64 -5/36 beta 1/6)
(+.f64 1/6 (*.f64 -5/36 beta))
(fma.f64 -5/36 beta 1/6)
(-.f64 (+.f64 1 (*.f64 -5/36 beta)) 1)
(*.f64 -5/36 beta)
(pow.f64 (*.f64 -5/36 beta) 1)
(*.f64 -5/36 beta)
(pow.f64 (sqrt.f64 (*.f64 -5/36 beta)) 2)
(*.f64 -5/36 beta)
(pow.f64 (cbrt.f64 (*.f64 -5/36 beta)) 3)
(*.f64 -5/36 beta)
(pow.f64 (*.f64 -125/46656 (pow.f64 beta 3)) 1/3)
(cbrt.f64 (*.f64 -125/46656 (pow.f64 beta 3)))
(sqrt.f64 (.f64 25/1296 (.f64 beta beta)))
(sqrt.f64 (.f64 (.f64 25/1296 beta) beta))
(sqrt.f64 (.f64 beta (.f64 beta 25/1296)))
(log.f64 (pow.f64 (exp.f64 beta) -5/36))
(*.f64 -5/36 beta)
(cbrt.f64 (*.f64 -125/46656 (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (*.f64 -5/36 beta)))
(*.f64 -5/36 beta)
(exp.f64 (log.f64 (*.f64 -5/36 beta)))
(*.f64 -5/36 beta)
(exp.f64 (.f64 (log.f64 (.f64 -5/36 beta)) 1))
(*.f64 -5/36 beta)
(log1p.f64 (expm1.f64 (*.f64 -5/36 beta)))
(*.f64 -5/36 beta)
(-.f64 (+.f64 1 (fma.f64 -5/36 beta 1/6)) 1)
(fma.f64 -5/36 beta 1/6)
(-.f64 (/.f64 (.f64 25/1296 (.f64 beta beta)) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))
(-.f64 (/.f64 (.f64 (.f64 25/1296 beta) beta) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))
(+.f64 (/.f64 (.f64 beta (.f64 beta 25/1296)) (fma.f64 -5/36 beta -1/6)) (/.f64 -1/36 (fma.f64 -5/36 beta -1/6)))
(fma.f64 (/.f64 25/1296 (fma.f64 -5/36 beta -1/6)) (*.f64 beta beta) (/.f64 1/36 (fma.f64 beta 5/36 1/6)))
(/.f64 (fma.f64 (*.f64 beta -25/1296) beta 1/36) (fma.f64 beta 5/36 1/6))
(*.f64 (fma.f64 -5/36 beta 1/6) 1)
(fma.f64 -5/36 beta 1/6)
(*.f64 1 (fma.f64 -5/36 beta 1/6))
(fma.f64 -5/36 beta 1/6)
(*.f64 (sqrt.f64 (fma.f64 -5/36 beta 1/6)) (sqrt.f64 (fma.f64 -5/36 beta 1/6)))
(fma.f64 -5/36 beta 1/6)
(*.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) (pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 2))
(fma.f64 -5/36 beta 1/6)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 2) (cbrt.f64 (fma.f64 -5/36 beta 1/6)))
(fma.f64 -5/36 beta 1/6)
(.f64 (+.f64 (.f64 25/1296 (*.f64 beta beta)) -1/36) (/.f64 1 (fma.f64 -5/36 beta -1/6)))
(-.f64 (/.f64 (.f64 (.f64 25/1296 beta) beta) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))
(+.f64 (/.f64 (.f64 beta (.f64 beta 25/1296)) (fma.f64 -5/36 beta -1/6)) (/.f64 -1/36 (fma.f64 -5/36 beta -1/6)))
(fma.f64 (/.f64 25/1296 (fma.f64 -5/36 beta -1/6)) (*.f64 beta beta) (/.f64 1/36 (fma.f64 beta 5/36 1/6)))
(/.f64 (fma.f64 (*.f64 beta -25/1296) beta 1/36) (fma.f64 beta 5/36 1/6))
(.f64 (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3))) (/.f64 1 (+.f64 (.f64 25/1296 (.f64 beta beta)) (-.f64 1/36 (*.f64 beta -5/216)))))
(.f64 (+.f64 (.f64 -125/46656 (pow.f64 beta 3)) 1/216) (/.f64 1 (fma.f64 25/1296 (.f64 beta beta) (-.f64 1/36 (.f64 beta -5/216)))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (+.f64 1/36 (.f64 beta (-.f64 (.f64 beta 25/1296) -5/216))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (fma.f64 beta (fma.f64 beta 25/1296 5/216) 1/36))
(/.f64 1 (/.f64 (fma.f64 -5/36 beta -1/6) (+.f64 (.f64 25/1296 (.f64 beta beta)) -1/36)))
(-.f64 (/.f64 (.f64 (.f64 25/1296 beta) beta) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))
(+.f64 (/.f64 (.f64 beta (.f64 beta 25/1296)) (fma.f64 -5/36 beta -1/6)) (/.f64 -1/36 (fma.f64 -5/36 beta -1/6)))
(fma.f64 (/.f64 25/1296 (fma.f64 -5/36 beta -1/6)) (*.f64 beta beta) (/.f64 1/36 (fma.f64 beta 5/36 1/6)))
(/.f64 (fma.f64 (*.f64 beta -25/1296) beta 1/36) (fma.f64 beta 5/36 1/6))
(/.f64 1 (/.f64 (+.f64 (.f64 25/1296 (.f64 beta beta)) (-.f64 1/36 (.f64 beta -5/216))) (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3)))))
(.f64 (+.f64 (.f64 -125/46656 (pow.f64 beta 3)) 1/216) (/.f64 1 (fma.f64 25/1296 (.f64 beta beta) (-.f64 1/36 (.f64 beta -5/216)))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (+.f64 1/36 (.f64 beta (-.f64 (.f64 beta 25/1296) -5/216))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (fma.f64 beta (fma.f64 beta 25/1296 5/216) 1/36))
(/.f64 (+.f64 (.f64 25/1296 (.f64 beta beta)) -1/36) (fma.f64 -5/36 beta -1/6))
(-.f64 (/.f64 (.f64 (.f64 25/1296 beta) beta) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))
(+.f64 (/.f64 (.f64 beta (.f64 beta 25/1296)) (fma.f64 -5/36 beta -1/6)) (/.f64 -1/36 (fma.f64 -5/36 beta -1/6)))
(fma.f64 (/.f64 25/1296 (fma.f64 -5/36 beta -1/6)) (*.f64 beta beta) (/.f64 1/36 (fma.f64 beta 5/36 1/6)))
(/.f64 (fma.f64 (*.f64 beta -25/1296) beta 1/36) (fma.f64 beta 5/36 1/6))
(/.f64 (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3))) (+.f64 (.f64 25/1296 (.f64 beta beta)) (-.f64 1/36 (.f64 beta -5/216))))
(.f64 (+.f64 (.f64 -125/46656 (pow.f64 beta 3)) 1/216) (/.f64 1 (fma.f64 25/1296 (.f64 beta beta) (-.f64 1/36 (.f64 beta -5/216)))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (+.f64 1/36 (.f64 beta (-.f64 (.f64 beta 25/1296) -5/216))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (fma.f64 beta (fma.f64 beta 25/1296 5/216) 1/36))
(/.f64 (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3))) (+.f64 1/36 (-.f64 (.f64 25/1296 (.f64 beta beta)) (.f64 beta -5/216))))
(.f64 (+.f64 (.f64 -125/46656 (pow.f64 beta 3)) 1/216) (/.f64 1 (fma.f64 25/1296 (.f64 beta beta) (-.f64 1/36 (.f64 beta -5/216)))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (+.f64 1/36 (.f64 beta (-.f64 (.f64 beta 25/1296) -5/216))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (fma.f64 beta (fma.f64 beta 25/1296 5/216) 1/36))
(/.f64 (-.f64 1/36 (.f64 25/1296 (.f64 beta beta))) (-.f64 1/6 (*.f64 -5/36 beta)))
(-.f64 (/.f64 (.f64 (.f64 25/1296 beta) beta) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))
(+.f64 (/.f64 (.f64 beta (.f64 beta 25/1296)) (fma.f64 -5/36 beta -1/6)) (/.f64 -1/36 (fma.f64 -5/36 beta -1/6)))
(fma.f64 (/.f64 25/1296 (fma.f64 -5/36 beta -1/6)) (*.f64 beta beta) (/.f64 1/36 (fma.f64 beta 5/36 1/6)))
(/.f64 (fma.f64 (*.f64 beta -25/1296) beta 1/36) (fma.f64 beta 5/36 1/6))
(/.f64 (neg.f64 (+.f64 (.f64 25/1296 (.f64 beta beta)) -1/36)) (neg.f64 (fma.f64 -5/36 beta -1/6)))
(-.f64 (/.f64 (.f64 (.f64 25/1296 beta) beta) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))
(+.f64 (/.f64 (.f64 beta (.f64 beta 25/1296)) (fma.f64 -5/36 beta -1/6)) (/.f64 -1/36 (fma.f64 -5/36 beta -1/6)))
(fma.f64 (/.f64 25/1296 (fma.f64 -5/36 beta -1/6)) (*.f64 beta beta) (/.f64 1/36 (fma.f64 beta 5/36 1/6)))
(/.f64 (fma.f64 (*.f64 beta -25/1296) beta 1/36) (fma.f64 beta 5/36 1/6))
(/.f64 (neg.f64 (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3)))) (neg.f64 (+.f64 (.f64 25/1296 (.f64 beta beta)) (-.f64 1/36 (.f64 beta -5/216)))))
(.f64 (+.f64 (.f64 -125/46656 (pow.f64 beta 3)) 1/216) (/.f64 1 (fma.f64 25/1296 (.f64 beta beta) (-.f64 1/36 (.f64 beta -5/216)))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (+.f64 1/36 (.f64 beta (-.f64 (.f64 beta 25/1296) -5/216))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (fma.f64 beta (fma.f64 beta 25/1296 5/216) 1/36))
(pow.f64 (fma.f64 -5/36 beta 1/6) 1)
(fma.f64 -5/36 beta 1/6)
(pow.f64 (sqrt.f64 (fma.f64 -5/36 beta 1/6)) 2)
(fma.f64 -5/36 beta 1/6)
(pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 3)
(fma.f64 -5/36 beta 1/6)
(pow.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 3) 1/3)
(fma.f64 -5/36 beta 1/6)
(sqrt.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 2))
(fma.f64 -5/36 beta 1/6)
(log.f64 (exp.f64 (fma.f64 -5/36 beta 1/6)))
(fma.f64 -5/36 beta 1/6)
(cbrt.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 3))
(fma.f64 -5/36 beta 1/6)
(expm1.f64 (log1p.f64 (fma.f64 -5/36 beta 1/6)))
(fma.f64 -5/36 beta 1/6)
(exp.f64 (log.f64 (fma.f64 -5/36 beta 1/6)))
(fma.f64 -5/36 beta 1/6)
(exp.f64 (*.f64 (log.f64 (fma.f64 -5/36 beta 1/6)) 1))
(fma.f64 -5/36 beta 1/6)
(log1p.f64 (expm1.f64 (fma.f64 -5/36 beta 1/6)))
(fma.f64 -5/36 beta 1/6)
(fma.f64 -5/36 beta 1/6)
(fma.f64 beta -5/36 1/6)
(fma.f64 -5/36 beta 1/6)
(fma.f64 1 (*.f64 -5/36 beta) 1/6)
(fma.f64 -5/36 beta 1/6)
(fma.f64 (sqrt.f64 (.f64 -5/36 beta)) (sqrt.f64 (.f64 -5/36 beta)) 1/6)
(fma.f64 -5/36 beta 1/6)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -5/36 beta)) 2) (cbrt.f64 (.f64 -5/36 beta)) 1/6)
(fma.f64 -5/36 beta 1/6)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 6 (*.f64 beta 5))
✓	0.3b	(/.f64 1 (+.f64 6 (*.f64 beta 5)))

Compiler

Compiled 21 to 17 computations (19% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	inf	(/.f64 1 (+.f64 6 (*.f64 beta 5)))
0.0ms	beta	@	0	(/.f64 1 (+.f64 6 (*.f64 beta 5)))
0.0ms	beta	@	-inf	(/.f64 1 (+.f64 6 (*.f64 beta 5)))
0.0ms	beta	@	0	(+.f64 6 (*.f64 beta 5))
0.0ms	beta	@	inf	(+.f64 6 (*.f64 beta 5))

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1824×	`add-sqr-sqrt`
1784×	`*-un-lft-identity`
1688×	`add-cube-cbrt`
1676×	`add-cbrt-cube`
176×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	191	24
2	2261	24

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(+.f64 6 (*.f64 beta 5))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 beta 5 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 beta 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 beta 5 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 beta 5 6) -1/2) (pow.f64 (fma.f64 beta 5 6) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 beta 5 6))) (cbrt.f64 (pow.f64 (fma.f64 beta 5 6) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 5 6) -2)) (cbrt.f64 (/.f64 1 (fma.f64 beta 5 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 beta 5 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 36 (*.f64 (*.f64 beta beta) 25))) (+.f64 6 (*.f64 -5 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 216 (*.f64 (pow.f64 beta 3) 125))) (+.f64 36 (-.f64 (*.f64 (*.f64 beta beta) 25) (*.f64 30 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 beta 5 6)) -1) (pow.f64 (sqrt.f64 (fma.f64 beta 5 6)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 beta 5 6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 beta 5 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 beta 5 6) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 beta 5 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 beta 5 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 beta 5 6) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 beta 5 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 beta 5 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 beta 5 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 beta 5 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 beta 5 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 beta 5 6)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 beta 5 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 beta 5 6))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 beta 5 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (+.f64 6 (*.f64 -5 beta))) (/.f64 (*.f64 (*.f64 beta beta) 25) (+.f64 6 (*.f64 -5 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 beta 5 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 beta 5 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 beta 5 6)) (sqrt.f64 (fma.f64 beta 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 beta 5 6)) (pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) 2) (cbrt.f64 (fma.f64 beta 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 36 (*.f64 (*.f64 beta beta) 25)) (/.f64 1 (+.f64 6 (*.f64 -5 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 216 (*.f64 (pow.f64 beta 3) 125)) (/.f64 1 (+.f64 36 (-.f64 (*.f64 (*.f64 beta beta) 25) (*.f64 30 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 beta 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 6 (*.f64 -5 beta)) (-.f64 36 (*.f64 (*.f64 beta beta) 25))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 36 (-.f64 (*.f64 (*.f64 beta beta) 25) (*.f64 30 beta))) (+.f64 216 (*.f64 (pow.f64 beta 3) 125))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 beta 5 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 beta 5 6)) (pow.f64 (fma.f64 beta 5 6) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) 2) (cbrt.f64 (/.f64 1 (fma.f64 beta 5 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (*.f64 (*.f64 beta beta) 25)) (+.f64 6 (*.f64 -5 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (*.f64 (pow.f64 beta 3) 125)) (+.f64 36 (-.f64 (*.f64 (*.f64 beta beta) 25) (*.f64 30 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (*.f64 (pow.f64 beta 3) 125)) (+.f64 (*.f64 (*.f64 beta beta) 25) (-.f64 36 (*.f64 30 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 beta 5 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 36 (*.f64 (*.f64 beta beta) 25))) (neg.f64 (+.f64 6 (*.f64 -5 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 216 (*.f64 (pow.f64 beta 3) 125))) (neg.f64 (+.f64 36 (-.f64 (*.f64 (*.f64 beta beta) 25) (*.f64 30 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 beta beta) 25) 36) (-.f64 (*.f64 beta 5) 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 beta 5 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 beta 5 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 beta 5 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 beta 5 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 beta 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 beta 5 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 beta 5 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 beta 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 beta 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 beta 5 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 beta 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 beta 5) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta 5 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5 beta 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 beta 5)) (sqrt.f64 (*.f64 beta 5)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 beta 5)) 2) (cbrt.f64 (*.f64 beta 5)) 6)))))

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1066×	`associate-+r+`
878×	`associate-+l+`
818×	`unswap-sqr`
812×	`associate-/r*`
680×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1788
1	433	1654
2	1616	1574
3	6882	1574

Stop Event

1×	node limit

Counts

88 → 102

Calls

Call 1

Inputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (.f64 25/216 (pow.f64 beta 2))))
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (+.f64 (.f64 25/216 (pow.f64 beta 2)) (*.f64 -125/1296 (pow.f64 beta 3)))))
(/.f64 1/5 beta)
(-.f64 (.f64 1/5 (/.f64 1 beta)) (.f64 6/25 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 1/5 (/.f64 1 beta)) (.f64 36/125 (/.f64 1 (pow.f64 beta 3)))) (*.f64 6/25 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 1/5 (/.f64 1 beta)) (.f64 36/125 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 6/25 (/.f64 1 (pow.f64 beta 2))) (.f64 216/625 (/.f64 1 (pow.f64 beta 4)))))
(/.f64 1/5 beta)
(-.f64 (.f64 1/5 (/.f64 1 beta)) (.f64 6/25 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 1/5 (/.f64 1 beta)) (.f64 36/125 (/.f64 1 (pow.f64 beta 3)))) (*.f64 6/25 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 1/5 (/.f64 1 beta)) (.f64 36/125 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 6/25 (/.f64 1 (pow.f64 beta 2))) (.f64 216/625 (/.f64 1 (pow.f64 beta 4)))))
6
(+.f64 6 (*.f64 5 beta))
(+.f64 6 (*.f64 5 beta))
(+.f64 6 (*.f64 5 beta))
(*.f64 5 beta)
(+.f64 6 (*.f64 5 beta))
(+.f64 6 (*.f64 5 beta))
(+.f64 6 (*.f64 5 beta))
(*.f64 5 beta)
(+.f64 6 (*.f64 5 beta))
(+.f64 6 (*.f64 5 beta))
(+.f64 6 (*.f64 5 beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 beta 5 6)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 beta 5 6)))
(*.f64 (/.f64 1 (fma.f64 beta 5 6)) 1)
(*.f64 (pow.f64 (fma.f64 beta 5 6) -1/2) (pow.f64 (fma.f64 beta 5 6) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 beta 5 6))) (cbrt.f64 (pow.f64 (fma.f64 beta 5 6) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 5 6) -2)) (cbrt.f64 (/.f64 1 (fma.f64 beta 5 6))))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 beta 5 6))))
(.f64 (/.f64 1 (-.f64 36 (.f64 (.f64 beta beta) 25))) (+.f64 6 (.f64 -5 beta)))
(.f64 (/.f64 1 (+.f64 216 (.f64 (pow.f64 beta 3) 125))) (+.f64 36 (-.f64 (.f64 (.f64 beta beta) 25) (*.f64 30 beta))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 beta 5 6)) -1) (pow.f64 (sqrt.f64 (fma.f64 beta 5 6)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) -1))
(pow.f64 (fma.f64 beta 5 6) -1)
(pow.f64 (/.f64 1 (fma.f64 beta 5 6)) 1)
(pow.f64 (pow.f64 (fma.f64 beta 5 6) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 beta 5 6))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 beta 5 6)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 beta 5 6) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 beta 5 6))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 beta 5 6)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 beta 5 6)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 beta 5 6))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 beta 5 6))))
(exp.f64 (*.f64 (log.f64 (fma.f64 beta 5 6)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 beta 5 6))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 beta 5 6))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 beta 5 6))) 1)
(-.f64 (/.f64 36 (+.f64 6 (.f64 -5 beta))) (/.f64 (.f64 (.f64 beta beta) 25) (+.f64 6 (.f64 -5 beta))))
(*.f64 1 (fma.f64 beta 5 6))
(*.f64 (fma.f64 beta 5 6) 1)
(*.f64 (sqrt.f64 (fma.f64 beta 5 6)) (sqrt.f64 (fma.f64 beta 5 6)))
(*.f64 (cbrt.f64 (fma.f64 beta 5 6)) (pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) 2) (cbrt.f64 (fma.f64 beta 5 6)))
(.f64 (-.f64 36 (.f64 (.f64 beta beta) 25)) (/.f64 1 (+.f64 6 (.f64 -5 beta))))
(.f64 (+.f64 216 (.f64 (pow.f64 beta 3) 125)) (/.f64 1 (+.f64 36 (-.f64 (.f64 (.f64 beta beta) 25) (*.f64 30 beta)))))
(/.f64 1 (/.f64 1 (fma.f64 beta 5 6)))
(/.f64 1 (/.f64 (+.f64 6 (.f64 -5 beta)) (-.f64 36 (.f64 (*.f64 beta beta) 25))))
(/.f64 1 (/.f64 (+.f64 36 (-.f64 (.f64 (.f64 beta beta) 25) (.f64 30 beta))) (+.f64 216 (.f64 (pow.f64 beta 3) 125))))
(/.f64 (fma.f64 beta 5 6) 1)
(/.f64 (sqrt.f64 (fma.f64 beta 5 6)) (pow.f64 (fma.f64 beta 5 6) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) 2) (cbrt.f64 (/.f64 1 (fma.f64 beta 5 6))))
(/.f64 (-.f64 36 (.f64 (.f64 beta beta) 25)) (+.f64 6 (*.f64 -5 beta)))
(/.f64 (+.f64 216 (.f64 (pow.f64 beta 3) 125)) (+.f64 36 (-.f64 (.f64 (.f64 beta beta) 25) (.f64 30 beta))))
(/.f64 (+.f64 216 (.f64 (pow.f64 beta 3) 125)) (+.f64 (.f64 (.f64 beta beta) 25) (-.f64 36 (.f64 30 beta))))
(/.f64 (neg.f64 (fma.f64 beta 5 6)) -1)
(/.f64 (neg.f64 (-.f64 36 (.f64 (.f64 beta beta) 25))) (neg.f64 (+.f64 6 (*.f64 -5 beta))))
(/.f64 (neg.f64 (+.f64 216 (.f64 (pow.f64 beta 3) 125))) (neg.f64 (+.f64 36 (-.f64 (.f64 (.f64 beta beta) 25) (.f64 30 beta)))))
(/.f64 (-.f64 (.f64 (.f64 beta beta) 25) 36) (-.f64 (*.f64 beta 5) 6))
(pow.f64 (fma.f64 beta 5 6) 1)
(pow.f64 (sqrt.f64 (fma.f64 beta 5 6)) 2)
(pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) 3)
(pow.f64 (pow.f64 (fma.f64 beta 5 6) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 beta 5 6) 2))
(log.f64 (exp.f64 (fma.f64 beta 5 6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 beta 5 6))))
(cbrt.f64 (pow.f64 (fma.f64 beta 5 6) 3))
(expm1.f64 (log1p.f64 (fma.f64 beta 5 6)))
(exp.f64 (log.f64 (fma.f64 beta 5 6)))
(exp.f64 (*.f64 (log.f64 (fma.f64 beta 5 6)) 1))
(log1p.f64 (expm1.f64 (fma.f64 beta 5 6)))
(fma.f64 1 (*.f64 beta 5) 6)
(fma.f64 beta 5 6)
(fma.f64 5 beta 6)
(fma.f64 (sqrt.f64 (.f64 beta 5)) (sqrt.f64 (.f64 beta 5)) 6)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 beta 5)) 2) (cbrt.f64 (.f64 beta 5)) 6)

Outputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(fma.f64 -5/36 beta 1/6)
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (.f64 25/216 (pow.f64 beta 2))))
(fma.f64 -5/36 beta (+.f64 1/6 (.f64 25/216 (.f64 beta beta))))
(fma.f64 -5/36 beta (fma.f64 25/216 (*.f64 beta beta) 1/6))
(fma.f64 -5/36 beta (fma.f64 beta (*.f64 beta 25/216) 1/6))
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (+.f64 (.f64 25/216 (pow.f64 beta 2)) (*.f64 -125/1296 (pow.f64 beta 3)))))
(+.f64 (fma.f64 -5/36 beta 1/6) (fma.f64 25/216 (.f64 beta beta) (.f64 -125/1296 (pow.f64 beta 3))))
(fma.f64 -5/36 beta (fma.f64 beta (*.f64 beta 25/216) (fma.f64 -125/1296 (pow.f64 beta 3) 1/6)))
(/.f64 1/5 beta)
(-.f64 (.f64 1/5 (/.f64 1 beta)) (.f64 6/25 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1/5 beta) (/.f64 6/25 (*.f64 beta beta)))
(+.f64 (/.f64 1/5 beta) (/.f64 -6/25 (*.f64 beta beta)))
(-.f64 (+.f64 (.f64 1/5 (/.f64 1 beta)) (.f64 36/125 (/.f64 1 (pow.f64 beta 3)))) (*.f64 6/25 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1/5 beta) (-.f64 (/.f64 36/125 (pow.f64 beta 3)) (/.f64 6/25 (*.f64 beta beta))))
(+.f64 (/.f64 1/5 beta) (+.f64 (/.f64 36/125 (pow.f64 beta 3)) (/.f64 -6/25 (*.f64 beta beta))))
(-.f64 (+.f64 (.f64 1/5 (/.f64 1 beta)) (.f64 36/125 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 6/25 (/.f64 1 (pow.f64 beta 2))) (.f64 216/625 (/.f64 1 (pow.f64 beta 4)))))
(-.f64 (+.f64 (/.f64 1/5 beta) (/.f64 36/125 (pow.f64 beta 3))) (+.f64 (/.f64 6/25 (*.f64 beta beta)) (/.f64 216/625 (pow.f64 beta 4))))
(+.f64 (/.f64 1/5 beta) (-.f64 (/.f64 36/125 (pow.f64 beta 3)) (+.f64 (/.f64 6/25 (*.f64 beta beta)) (/.f64 216/625 (pow.f64 beta 4)))))
(+.f64 (/.f64 1/5 beta) (+.f64 (/.f64 36/125 (pow.f64 beta 3)) (+.f64 (/.f64 -6/25 (*.f64 beta beta)) (/.f64 -216/625 (pow.f64 beta 4)))))
(/.f64 1/5 beta)
(-.f64 (.f64 1/5 (/.f64 1 beta)) (.f64 6/25 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1/5 beta) (/.f64 6/25 (*.f64 beta beta)))
(+.f64 (/.f64 1/5 beta) (/.f64 -6/25 (*.f64 beta beta)))
(-.f64 (+.f64 (.f64 1/5 (/.f64 1 beta)) (.f64 36/125 (/.f64 1 (pow.f64 beta 3)))) (*.f64 6/25 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1/5 beta) (-.f64 (/.f64 36/125 (pow.f64 beta 3)) (/.f64 6/25 (*.f64 beta beta))))
(+.f64 (/.f64 1/5 beta) (+.f64 (/.f64 36/125 (pow.f64 beta 3)) (/.f64 -6/25 (*.f64 beta beta))))
(-.f64 (+.f64 (.f64 1/5 (/.f64 1 beta)) (.f64 36/125 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 6/25 (/.f64 1 (pow.f64 beta 2))) (.f64 216/625 (/.f64 1 (pow.f64 beta 4)))))
(-.f64 (+.f64 (/.f64 1/5 beta) (/.f64 36/125 (pow.f64 beta 3))) (+.f64 (/.f64 6/25 (*.f64 beta beta)) (/.f64 216/625 (pow.f64 beta 4))))
(+.f64 (/.f64 1/5 beta) (-.f64 (/.f64 36/125 (pow.f64 beta 3)) (+.f64 (/.f64 6/25 (*.f64 beta beta)) (/.f64 216/625 (pow.f64 beta 4)))))
(+.f64 (/.f64 1/5 beta) (+.f64 (/.f64 36/125 (pow.f64 beta 3)) (+.f64 (/.f64 -6/25 (*.f64 beta beta)) (/.f64 -216/625 (pow.f64 beta 4)))))
6
(+.f64 6 (*.f64 5 beta))
(fma.f64 beta 5 6)
(+.f64 6 (*.f64 5 beta))
(fma.f64 beta 5 6)
(+.f64 6 (*.f64 5 beta))
(fma.f64 beta 5 6)
(*.f64 5 beta)
(*.f64 beta 5)
(+.f64 6 (*.f64 5 beta))
(fma.f64 beta 5 6)
(+.f64 6 (*.f64 5 beta))
(fma.f64 beta 5 6)
(+.f64 6 (*.f64 5 beta))
(fma.f64 beta 5 6)
(*.f64 5 beta)
(*.f64 beta 5)
(+.f64 6 (*.f64 5 beta))
(fma.f64 beta 5 6)
(+.f64 6 (*.f64 5 beta))
(fma.f64 beta 5 6)
(+.f64 6 (*.f64 5 beta))
(fma.f64 beta 5 6)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 beta 5 6)))) 1)
(/.f64 1 (fma.f64 beta 5 6))
(*.f64 1 (/.f64 1 (fma.f64 beta 5 6)))
(/.f64 1 (fma.f64 beta 5 6))
(*.f64 (/.f64 1 (fma.f64 beta 5 6)) 1)
(/.f64 1 (fma.f64 beta 5 6))
(*.f64 (pow.f64 (fma.f64 beta 5 6) -1/2) (pow.f64 (fma.f64 beta 5 6) -1/2))
(/.f64 1 (fma.f64 beta 5 6))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 beta 5 6))) (cbrt.f64 (pow.f64 (fma.f64 beta 5 6) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 5 6) -2)) (cbrt.f64 (/.f64 1 (fma.f64 beta 5 6))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 beta 5 6))) (cbrt.f64 (pow.f64 (fma.f64 beta 5 6) -2)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 beta 5 6))))
(/.f64 1 (fma.f64 beta 5 6))
(.f64 (/.f64 1 (-.f64 36 (.f64 (.f64 beta beta) 25))) (+.f64 6 (.f64 -5 beta)))
(.f64 (/.f64 1 (-.f64 36 (.f64 beta (.f64 beta 25)))) (+.f64 6 (.f64 beta -5)))
(/.f64 (fma.f64 beta -5 6) (+.f64 36 (.f64 (.f64 beta beta) -25)))
(/.f64 (fma.f64 beta -5 6) (fma.f64 beta (*.f64 beta -25) 36))
(.f64 (/.f64 1 (+.f64 216 (.f64 (pow.f64 beta 3) 125))) (+.f64 36 (-.f64 (.f64 (.f64 beta beta) 25) (*.f64 30 beta))))
(.f64 (/.f64 1 (+.f64 216 (.f64 (pow.f64 beta 3) 125))) (+.f64 36 (+.f64 (.f64 beta (.f64 beta 25)) (*.f64 -30 beta))))
(/.f64 (+.f64 36 (.f64 beta (-.f64 (.f64 beta 25) 30))) (fma.f64 (pow.f64 beta 3) 125 216))
(/.f64 (fma.f64 beta (fma.f64 beta 25 -30) 36) (fma.f64 (pow.f64 beta 3) 125 216))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 beta 5 6)) -1) (pow.f64 (sqrt.f64 (fma.f64 beta 5 6)) -1))
(/.f64 1 (fma.f64 beta 5 6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) -1))
(/.f64 1 (fma.f64 beta 5 6))
(pow.f64 (fma.f64 beta 5 6) -1)
(/.f64 1 (fma.f64 beta 5 6))
(pow.f64 (/.f64 1 (fma.f64 beta 5 6)) 1)
(/.f64 1 (fma.f64 beta 5 6))
(pow.f64 (pow.f64 (fma.f64 beta 5 6) -1/2) 2)
(/.f64 1 (fma.f64 beta 5 6))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 beta 5 6))) 3)
(/.f64 1 (fma.f64 beta 5 6))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 beta 5 6)) 3) 1/3)
(/.f64 1 (fma.f64 beta 5 6))
(sqrt.f64 (pow.f64 (fma.f64 beta 5 6) -2))
(/.f64 1 (fma.f64 beta 5 6))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 beta 5 6))))
(/.f64 1 (fma.f64 beta 5 6))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 beta 5 6)))))
(/.f64 1 (fma.f64 beta 5 6))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 beta 5 6)) 3))
(/.f64 1 (fma.f64 beta 5 6))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 beta 5 6))))
(/.f64 1 (fma.f64 beta 5 6))
(exp.f64 (neg.f64 (log.f64 (fma.f64 beta 5 6))))
(/.f64 1 (fma.f64 beta 5 6))
(exp.f64 (*.f64 (log.f64 (fma.f64 beta 5 6)) -1))
(/.f64 1 (fma.f64 beta 5 6))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 beta 5 6))) 1))
(/.f64 1 (fma.f64 beta 5 6))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 beta 5 6))))
(/.f64 1 (fma.f64 beta 5 6))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 beta 5 6))) 1)
(fma.f64 beta 5 6)
(-.f64 (/.f64 36 (+.f64 6 (.f64 -5 beta))) (/.f64 (.f64 (.f64 beta beta) 25) (+.f64 6 (.f64 -5 beta))))
(/.f64 (-.f64 36 (.f64 beta (.f64 beta 25))) (+.f64 6 (*.f64 beta -5)))
(/.f64 (+.f64 36 (.f64 (.f64 beta beta) -25)) (fma.f64 beta -5 6))
(/.f64 (fma.f64 beta (*.f64 beta -25) 36) (fma.f64 beta -5 6))
(*.f64 1 (fma.f64 beta 5 6))
(fma.f64 beta 5 6)
(*.f64 (fma.f64 beta 5 6) 1)
(fma.f64 beta 5 6)
(*.f64 (sqrt.f64 (fma.f64 beta 5 6)) (sqrt.f64 (fma.f64 beta 5 6)))
(fma.f64 beta 5 6)
(*.f64 (cbrt.f64 (fma.f64 beta 5 6)) (pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) 2))
(fma.f64 beta 5 6)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) 2) (cbrt.f64 (fma.f64 beta 5 6)))
(fma.f64 beta 5 6)
(.f64 (-.f64 36 (.f64 (.f64 beta beta) 25)) (/.f64 1 (+.f64 6 (.f64 -5 beta))))
(/.f64 (-.f64 36 (.f64 beta (.f64 beta 25))) (+.f64 6 (*.f64 beta -5)))
(/.f64 (+.f64 36 (.f64 (.f64 beta beta) -25)) (fma.f64 beta -5 6))
(/.f64 (fma.f64 beta (*.f64 beta -25) 36) (fma.f64 beta -5 6))
(.f64 (+.f64 216 (.f64 (pow.f64 beta 3) 125)) (/.f64 1 (+.f64 36 (-.f64 (.f64 (.f64 beta beta) 25) (*.f64 30 beta)))))
(.f64 (+.f64 216 (.f64 (pow.f64 beta 3) 125)) (/.f64 1 (+.f64 36 (+.f64 (.f64 beta (.f64 beta 25)) (*.f64 -30 beta)))))
(/.f64 (fma.f64 (pow.f64 beta 3) 125 216) (+.f64 36 (.f64 beta (-.f64 (.f64 beta 25) 30))))
(/.f64 (fma.f64 (pow.f64 beta 3) 125 216) (fma.f64 beta (fma.f64 beta 25 -30) 36))
(/.f64 1 (/.f64 1 (fma.f64 beta 5 6)))
(fma.f64 beta 5 6)
(/.f64 1 (/.f64 (+.f64 6 (.f64 -5 beta)) (-.f64 36 (.f64 (*.f64 beta beta) 25))))
(/.f64 (-.f64 36 (.f64 beta (.f64 beta 25))) (+.f64 6 (*.f64 beta -5)))
(/.f64 (+.f64 36 (.f64 (.f64 beta beta) -25)) (fma.f64 beta -5 6))
(/.f64 (fma.f64 beta (*.f64 beta -25) 36) (fma.f64 beta -5 6))
(/.f64 1 (/.f64 (+.f64 36 (-.f64 (.f64 (.f64 beta beta) 25) (.f64 30 beta))) (+.f64 216 (.f64 (pow.f64 beta 3) 125))))
(.f64 (+.f64 216 (.f64 (pow.f64 beta 3) 125)) (/.f64 1 (+.f64 36 (+.f64 (.f64 beta (.f64 beta 25)) (*.f64 -30 beta)))))
(/.f64 (fma.f64 (pow.f64 beta 3) 125 216) (+.f64 36 (.f64 beta (-.f64 (.f64 beta 25) 30))))
(/.f64 (fma.f64 (pow.f64 beta 3) 125 216) (fma.f64 beta (fma.f64 beta 25 -30) 36))
(/.f64 (fma.f64 beta 5 6) 1)
(fma.f64 beta 5 6)
(/.f64 (sqrt.f64 (fma.f64 beta 5 6)) (pow.f64 (fma.f64 beta 5 6) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) 2) (cbrt.f64 (/.f64 1 (fma.f64 beta 5 6))))
(/.f64 (-.f64 36 (.f64 (.f64 beta beta) 25)) (+.f64 6 (*.f64 -5 beta)))
(/.f64 (-.f64 36 (.f64 beta (.f64 beta 25))) (+.f64 6 (*.f64 beta -5)))
(/.f64 (+.f64 36 (.f64 (.f64 beta beta) -25)) (fma.f64 beta -5 6))
(/.f64 (fma.f64 beta (*.f64 beta -25) 36) (fma.f64 beta -5 6))
(/.f64 (+.f64 216 (.f64 (pow.f64 beta 3) 125)) (+.f64 36 (-.f64 (.f64 (.f64 beta beta) 25) (.f64 30 beta))))
(.f64 (+.f64 216 (.f64 (pow.f64 beta 3) 125)) (/.f64 1 (+.f64 36 (+.f64 (.f64 beta (.f64 beta 25)) (*.f64 -30 beta)))))
(/.f64 (fma.f64 (pow.f64 beta 3) 125 216) (+.f64 36 (.f64 beta (-.f64 (.f64 beta 25) 30))))
(/.f64 (fma.f64 (pow.f64 beta 3) 125 216) (fma.f64 beta (fma.f64 beta 25 -30) 36))
(/.f64 (+.f64 216 (.f64 (pow.f64 beta 3) 125)) (+.f64 (.f64 (.f64 beta beta) 25) (-.f64 36 (.f64 30 beta))))
(.f64 (+.f64 216 (.f64 (pow.f64 beta 3) 125)) (/.f64 1 (+.f64 36 (+.f64 (.f64 beta (.f64 beta 25)) (*.f64 -30 beta)))))
(/.f64 (fma.f64 (pow.f64 beta 3) 125 216) (+.f64 36 (.f64 beta (-.f64 (.f64 beta 25) 30))))
(/.f64 (fma.f64 (pow.f64 beta 3) 125 216) (fma.f64 beta (fma.f64 beta 25 -30) 36))
(/.f64 (neg.f64 (fma.f64 beta 5 6)) -1)
(fma.f64 beta 5 6)
(/.f64 (neg.f64 (-.f64 36 (.f64 (.f64 beta beta) 25))) (neg.f64 (+.f64 6 (*.f64 -5 beta))))
(/.f64 (-.f64 36 (.f64 beta (.f64 beta 25))) (+.f64 6 (*.f64 beta -5)))
(/.f64 (+.f64 36 (.f64 (.f64 beta beta) -25)) (fma.f64 beta -5 6))
(/.f64 (fma.f64 beta (*.f64 beta -25) 36) (fma.f64 beta -5 6))
(/.f64 (neg.f64 (+.f64 216 (.f64 (pow.f64 beta 3) 125))) (neg.f64 (+.f64 36 (-.f64 (.f64 (.f64 beta beta) 25) (.f64 30 beta)))))
(.f64 (+.f64 216 (.f64 (pow.f64 beta 3) 125)) (/.f64 1 (+.f64 36 (+.f64 (.f64 beta (.f64 beta 25)) (*.f64 -30 beta)))))
(/.f64 (fma.f64 (pow.f64 beta 3) 125 216) (+.f64 36 (.f64 beta (-.f64 (.f64 beta 25) 30))))
(/.f64 (fma.f64 (pow.f64 beta 3) 125 216) (fma.f64 beta (fma.f64 beta 25 -30) 36))
(/.f64 (-.f64 (.f64 (.f64 beta beta) 25) 36) (-.f64 (*.f64 beta 5) 6))
(/.f64 (-.f64 36 (.f64 beta (.f64 beta 25))) (+.f64 6 (*.f64 beta -5)))
(/.f64 (+.f64 36 (.f64 (.f64 beta beta) -25)) (fma.f64 beta -5 6))
(/.f64 (fma.f64 beta (*.f64 beta -25) 36) (fma.f64 beta -5 6))
(pow.f64 (fma.f64 beta 5 6) 1)
(fma.f64 beta 5 6)
(pow.f64 (sqrt.f64 (fma.f64 beta 5 6)) 2)
(fma.f64 beta 5 6)
(pow.f64 (cbrt.f64 (fma.f64 beta 5 6)) 3)
(fma.f64 beta 5 6)
(pow.f64 (pow.f64 (fma.f64 beta 5 6) 3) 1/3)
(fma.f64 beta 5 6)
(sqrt.f64 (pow.f64 (fma.f64 beta 5 6) 2))
(fma.f64 beta 5 6)
(log.f64 (exp.f64 (fma.f64 beta 5 6)))
(fma.f64 beta 5 6)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 beta 5 6))))
(fma.f64 beta 5 6)
(cbrt.f64 (pow.f64 (fma.f64 beta 5 6) 3))
(fma.f64 beta 5 6)
(expm1.f64 (log1p.f64 (fma.f64 beta 5 6)))
(fma.f64 beta 5 6)
(exp.f64 (log.f64 (fma.f64 beta 5 6)))
(fma.f64 beta 5 6)
(exp.f64 (*.f64 (log.f64 (fma.f64 beta 5 6)) 1))
(fma.f64 beta 5 6)
(log1p.f64 (expm1.f64 (fma.f64 beta 5 6)))
(fma.f64 beta 5 6)
(fma.f64 1 (*.f64 beta 5) 6)
(fma.f64 beta 5 6)
(fma.f64 beta 5 6)
(fma.f64 5 beta 6)
(fma.f64 beta 5 6)
(fma.f64 (sqrt.f64 (.f64 beta 5)) (sqrt.f64 (.f64 beta 5)) 6)
(fma.f64 beta 5 6)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 beta 5)) 2) (cbrt.f64 (.f64 beta 5)) 6)
(fma.f64 beta 5 6)

localize15.0ms (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)))
✓	0.4b	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 38 to 25 computations (34.2% saved)

series12.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	beta	@	0	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	0	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	inf	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	inf	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	-inf	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

87 → 169

Calls

Call 1

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

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

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 2 alpha))
✓	0.0b	(/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 1 (+.f64 2 alpha)))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 alpha (+.f64 beta 3)))
✓	2.5b	(/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 1 (+.f64 2 alpha))))

Compiler

Compiled 81 to 52 computations (35.8% saved)

series20.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite163.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

448×	`+-commutative`
442×	`add-sqr-sqrt`
434×	`associate-+l+`
430×	`pow1`
430×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	148
1	420	130
2	6628	130

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

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

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

simplify149.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1348×	`associate-r`
1098×	`associate-/r*`
1040×	`associate-l`
1030×	`*-commutative`
974×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	751	16320
1	2579	16044

Stop Event

1×	node limit

Counts

238 → 378

Calls

Call 1

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

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

eval1.2s (5.8%)

Compiler: Compiled 50028 to 37506 computations (25% saved)

prune341.0ms (1.7%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	1255	9	1264
Fresh	2	15	17
Picked	1	0	1
Done	4	6	10
Total	1262	30	1292

Error

Counts

1292 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	26.6b	(pow.f64 beta -2)
✓	19.8b	(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
	23.3b	(/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 (-.f64 -3 beta) alpha))
✓	3.8b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	3.8b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	19.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	40.3b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 beta beta))
	22.8b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
	18.0b	(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
	20.2b	(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	36.4b	(/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
	7.3b	(/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))
	49.4b	(/.f64 (+.f64 1 alpha) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))) (.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2)))))
✓	25.3b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	23.5b	(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 alpha (+.f64 beta 3)))
	41.7b	(/.f64 alpha (*.f64 beta beta))
✓	23.1b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	26.5b	(/.f64 1 (*.f64 beta (+.f64 beta 5)))
	27.0b	(/.f64 1 (*.f64 beta beta))
	59.8b	(/.f64 1 (*.f64 beta 5))
	61.6b	(/.f64 1 (*.f64 alpha alpha))
	18.2b	(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	40.5b	(/.f64 1/3 (*.f64 beta beta))
	60.0b	(/.f64 1/5 beta)
✓	58.8b	(+.f64 (*.f64 -5/36 beta) 1/6)
	38.3b	(.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
	3.6b	(.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
	23.8b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	57.9b	1/6

Compiler

Compiled 442 to 324 computations (26.7% saved)

regimes101.0ms (0.5%)

Counts

58 → 1

Calls

Call 1

Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta 5))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.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 (-.f64 -3 beta) alpha))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.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 beta 1) (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (+.f64 alpha 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 2 (+.f64 alpha beta)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha))) (/.f64 1 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 (-.f64 -1 beta) (.f64 (+.f64 (+.f64 beta 3) alpha) (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.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 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.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 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha beta))) (.f64 (+.f64 beta 1) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 (+.f64 (+.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 (+.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 1 alpha) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))) (.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2)))))
(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)))

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

Calls

3 calls:

41.0ms

alpha

24.0ms

beta

13.0ms

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

Results

Error	Segments	Branch
0.1b	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 1012 to 651 computations (35.7% saved)

regimes89.0ms (0.4%)

Counts

45 → 1

Calls

Call 1

Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta 5))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.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 (-.f64 -3 beta) alpha))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.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 beta 1) (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (+.f64 alpha 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 2 (+.f64 alpha beta)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha))) (/.f64 1 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 (-.f64 -1 beta) (.f64 (+.f64 (+.f64 beta 3) alpha) (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.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 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))

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

Calls

2 calls:

54.0ms	beta
21.0ms	alpha

Results

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

Compiler

Compiled 611 to 400 computations (34.5% saved)

regimes444.0ms (2.2%)

Counts

44 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta 5))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.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 (-.f64 -3 beta) alpha))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.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 beta 1) (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (+.f64 alpha 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 2 (+.f64 alpha beta)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha))) (/.f64 1 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 (-.f64 -1 beta) (.f64 (+.f64 (+.f64 beta 3) alpha) (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.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))))

Outputs

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

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

Calls

2 calls:

212.0ms	beta
38.0ms	alpha

Results

Error	Segments	Branch
0.3b	2	`alpha`
0.1b	2	`beta`

Compiler

Compiled 586 to 383 computations (34.6% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	1145119111443815.8	2665780871880885.5

Results

13.0ms

80×

body

256

valid

Compiler

Compiled 312 to 223 computations (28.5% saved)

regimes125.0ms (0.6%)

Counts

41 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta 5))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.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 (-.f64 -3 beta) alpha))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.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 beta 1) (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (+.f64 alpha 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 2 (+.f64 alpha beta)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha))) (/.f64 1 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 alpha (.f64 beta alpha)) (.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))

Outputs

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

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

Calls

2 calls:

70.0ms	alpha
39.0ms	beta

Results

Error	Segments	Branch
0.6b	2	`alpha`
0.4b	2	`beta`

Compiler

Compiled 511 to 334 computations (34.6% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	1145119111443815.8	2665780871880885.5

Results

11.0ms

80×

body

256

valid

Compiler

Compiled 282 to 203 computations (28% saved)

regimes123.0ms (0.6%)

Counts

38 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta 5))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.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 (-.f64 -3 beta) alpha))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.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 beta 1) (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (+.f64 alpha 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 2 (+.f64 alpha beta)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) (.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta (+.f64 3 alpha))) (/.f64 1 (+.f64 2 (+.f64 beta alpha))))

Outputs

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

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

Calls

2 calls:

78.0ms	beta
34.0ms	alpha

Results

Error	Segments	Branch
0.6b	2	`alpha`
0.4b	2	`beta`

Compiler

Compiled 442 to 292 computations (33.9% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	1145119111443815.8	2665780871880885.5

Results

10.0ms

80×

body

256

valid

Compiler

Compiled 252 to 183 computations (27.4% saved)

regimes114.0ms (0.6%)

Counts

31 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta 5))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.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 (-.f64 -3 beta) alpha))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

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:

49.0ms	beta
40.0ms	alpha

Results

Error	Segments	Branch
9.6b	2	`alpha`
0.9b	2	`beta`

Compiler

Compiled 295 to 194 computations (34.2% saved)

bsearch52.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
52.0ms	0.4541188906673655	6.877297020826299

Results

50.0ms

96×

body

256

valid

Compiler

Compiled 282 to 208 computations (26.2% saved)

regimes105.0ms (0.5%)

Counts

29 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta 5))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.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 (-.f64 -3 beta) alpha))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 (.f64 2/9 beta) 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 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))

Calls

2 calls:

74.0ms	beta
25.0ms	alpha

Results

Error	Segments	Branch
9.9b	2	`alpha`
1.3b	2	`beta`

Compiler

Compiled 259 to 170 computations (34.4% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.4541188906673655	6.877297020826299

Results

14.0ms

96×

body

256

valid

Compiler

Compiled 270 to 196 computations (27.4% saved)

regimes55.0ms (0.3%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	beta
24.0ms	alpha

Results

Error	Segments	Branch
9.9b	2	`alpha`
1.3b	2	`beta`

Compiler

Compiled 225 to 147 computations (34.7% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	0.4541188906673655	6.877297020826299

Results

14.0ms

96×

body

256

valid

Compiler

Compiled 234 to 172 computations (26.5% saved)

regimes55.0ms (0.3%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	beta
24.0ms	alpha

Results

Error	Segments	Branch
10.3b	2	`alpha`
1.4b	2	`beta`

Compiler

Compiled 210 to 137 computations (34.8% saved)

bsearch42.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
42.0ms	0.4541188906673655	6.877297020826299

Results

40.0ms

96×

body

256

valid

Compiler

Compiled 210 to 154 computations (26.7% saved)

regimes73.0ms (0.4%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

49.0ms	beta
20.0ms	alpha

Results

Error	Segments	Branch
10.4b	2	`alpha`
1.5b	2	`beta`

Compiler

Compiled 149 to 97 computations (34.9% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	6.877297020826299	25.83942587776955

Results

11.0ms

80×

body

256

valid

Compiler

Compiled 172 to 128 computations (25.6% saved)

regimes71.0ms (0.4%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

49.0ms	beta
18.0ms	alpha

Results

Error	Segments	Branch
10.6b	2	`alpha`
1.7b	2	`beta`

Compiler

Compiled 127 to 83 computations (34.6% saved)

bsearch47.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
46.0ms	6.877297020826299	25.83942587776955

Results

45.0ms

80×

body

256

valid

Compiler

Compiled 162 to 123 computations (24.1% saved)

regimes28.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

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

Outputs
(+.f64 (*.f64 -5/36 beta) 1/6)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))

Calls

2 calls:

17.0ms	beta
9.0ms	alpha

Results

Error	Segments	Branch
23.8b	1	`alpha`
20.0b	2	`beta`

Compiler

Compiled 89 to 54 computations (39.3% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.4541188906673655	6.877297020826299

Results

14.0ms

96×

body

256

valid

Compiler

Compiled 162 to 124 computations (23.5% saved)

regimes72.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

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

Outputs
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Calls

2 calls:

60.0ms	beta
7.0ms	alpha

Results

Error	Segments	Branch
25.3b	1	`alpha`
21.5b	2	`beta`

Compiler

Compiled 80 to 48 computations (40% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	0.4541188906673655	6.877297020826299

Results

13.0ms

96×

body

256

valid

Compiler

Compiled 150 to 112 computations (25.3% saved)

regimes29.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

Outputs
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))

Calls

2 calls:

13.0ms	beta
13.0ms	alpha

Results

Error	Segments	Branch
25.2b	2	`alpha`
23.1b	2	`beta`

Compiler

Compiled 66 to 42 computations (36.4% saved)

bsearch58.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
57.0ms	0.4541188906673655	6.877297020826299

Results

56.0ms

96×

body

256

valid

Compiler

Compiled 150 to 118 computations (21.3% saved)

regimes42.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

Outputs
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 beta beta))

Calls

2 calls:

28.0ms	beta
12.0ms	alpha

Results

Error	Segments	Branch
25.7b	2	`alpha`
23.2b	2	`beta`

Compiler

Compiled 45 to 28 computations (37.8% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.4541188906673655	6.877297020826299

Results

14.0ms

96×

body

256

valid

Compiler

Compiled 138 to 106 computations (23.2% saved)

regimes17.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

Outputs
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/3 (*.f64 beta beta))

Calls

2 calls:

11.0ms	beta
5.0ms	alpha

Results

Error	Segments	Branch
40.5b	1	`alpha`
36.7b	2	`beta`

Compiler

Compiled 35 to 25 computations (28.6% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	0.4541188906673655	6.877297020826299

Results

14.0ms

96×

body

256

valid

Compiler

Compiled 138 to 106 computations (23.2% saved)

regimes13.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)

Outputs
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/5 beta)

Calls

2 calls:

7.0ms	beta
5.0ms	alpha

Results

Error	Segments	Branch
57.9b	1	`alpha`
56.6b	2	`beta`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	0.4541188906673655	6.877297020826299

Results

13.0ms

96×

body

256

valid

Compiler

Compiled 126 to 100 computations (20.6% saved)

regimes13.0ms (0.1%)

Accuracy

Total -6.0b remaining (-10.6%)

Threshold costs -6.0b (-10.6%)

Counts

3 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1/5 beta)
(/.f64 1 alpha)

Outputs
1/6
(/.f64 1/5 beta)

Calls

2 calls:

8.0ms	beta
4.0ms	alpha

Results

Error	Segments	Branch
57.9b	1	`alpha`
56.6b	2	`beta`

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.4541188906673655	6.877297020826299

Results

14.0ms

96×

body

256

valid

Compiler

Compiled 102 to 82 computations (19.6% saved)

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

48×	`+-commutative`
30×	`*-commutative`
16×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	1271
1	171	1271
2	184	1271
3	192	1271
4	195	1271

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 2600000000000000) (.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 (-.f64 -1 beta) (.f64 (+.f64 (+.f64 beta 3) alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 2250000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1400000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7/4) (/.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 7656119366529843/2251799813685248) (/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 7656119366529843/4503599627370496) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 9/2) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 23/2) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 19/2) (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 5404319552844595/4503599627370496) (+.f64 (.f64 -5/36 beta) 1/6) (.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 5404319552844595/4503599627370496) (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 alpha) (.f64 beta beta)))
(if (<=.f64 beta 4728779608739021/4503599627370496) (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 1 (.f64 beta (+.f64 beta 5))))
(if (<=.f64 beta 5404319552844595/4503599627370496) (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 1 (.f64 beta beta)))
(if (<=.f64 beta 2476979795053773/2251799813685248) (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 1/3 (.f64 beta beta)))
(if (<=.f64 beta 4728779608739021/4503599627370496) (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 1/5 beta))
(if (<=.f64 beta 5404319552844595/4503599627370496) 1/6 (/.f64 1/5 beta))
1/6

Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 2600000000000000) (.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 (-.f64 -1 beta) (.f64 (+.f64 (+.f64 beta 3) alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 2600000000000000) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -1 beta) (.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 -2 (+.f64 alpha beta))))) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 2250000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 2250000000000000) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 alpha beta) 3))) (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1400000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1400000000000000) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 alpha beta) 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7/4) (/.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 7/4) (/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 (+.f64 alpha beta)) (.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7656119366529843/2251799813685248) (/.f64 (+.f64 alpha 1) (.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 7656119366529843/2251799813685248) (/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 (+.f64 alpha beta)) (.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 7656119366529843/4503599627370496) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 7656119366529843/4503599627370496) (/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 9/2) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 9/2) (/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 23/2) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 23/2) (/.f64 (/.f64 1/2 (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 beta)))
(if (<=.f64 beta 19/2) (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 19/2) (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 2 beta))) (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 beta)))
(if (<=.f64 beta 5404319552844595/4503599627370496) (+.f64 (.f64 -5/36 beta) 1/6) (.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 5404319552844595/4503599627370496) (+.f64 (.f64 beta -5/36) 1/6) (.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 beta)))
(if (<=.f64 beta 5404319552844595/4503599627370496) (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 alpha) (.f64 beta beta)))
(if (<=.f64 beta 5404319552844595/4503599627370496) (+.f64 (.f64 beta -5/36) 1/6) (/.f64 (+.f64 alpha 1) (.f64 beta beta)))
(if (<=.f64 beta 4728779608739021/4503599627370496) (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 1 (.f64 beta (+.f64 beta 5))))
(if (<=.f64 beta 4728779608739021/4503599627370496) (+.f64 (.f64 beta -5/36) 1/6) (/.f64 1 (.f64 beta (+.f64 beta 5))))
(if (<=.f64 beta 5404319552844595/4503599627370496) (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 1 (.f64 beta beta)))
(if (<=.f64 beta 5404319552844595/4503599627370496) (+.f64 (.f64 beta -5/36) 1/6) (/.f64 1 (.f64 beta beta)))
(if (<=.f64 beta 2476979795053773/2251799813685248) (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 1/3 (.f64 beta beta)))
(if (<=.f64 beta 2476979795053773/2251799813685248) (+.f64 (.f64 beta -5/36) 1/6) (/.f64 1/3 (.f64 beta beta)))
(if (<=.f64 beta 4728779608739021/4503599627370496) (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 1/5 beta))
(if (<=.f64 beta 4728779608739021/4503599627370496) (+.f64 (*.f64 beta -5/36) 1/6) (/.f64 1/5 beta))
(if (<=.f64 beta 5404319552844595/4503599627370496) 1/6 (/.f64 1/5 beta))
1/6

Compiler

Compiled 501 to 361 computations (27.9% saved)

soundness976.0ms (4.9%)

Algorithm

4×	egg-herbie

Rules

8048×	`associate-+r+`
2246×	`associate-/l*`
1648×	`associate-r`
1588×	`associate-r`
1494×	`associate-r`

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
0	973	28074
1	3416	27838
0	1008	27921
1	3566	27283
0	964	25808
1	3348	25356

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1366 to 890 computations (34.8% saved)

end225.0ms (1.1%)

Compiler: Compiled 573 to 392 computations (31.6% saved)