Details

analyze49.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample2.0s (9%)

Results

2.0s

8256×

body

256

valid

Bogosity

preprocess370.0ms (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)

simplify665.0ms (3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs

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

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

eval3.0ms (0%)

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

prune9.0ms (0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Error

0.0b

Counts

10 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.4b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
▶	0.1b	(/.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)))
▶	5.2b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	11.9b	(/.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)))))
▶	11.9b	(/.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 294 to 194 computations (34% saved)

localize35.0ms (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 alpha (+.f64 beta 2)) (+.f64 beta 1))))
✓	0.0b	(/.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)

series84.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
64.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
3.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
2.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
2.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
2.0ms	beta	@	inf	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))

rewrite118.0ms (0.5%)

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 (+.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))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 1) (.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 1) (/.f64 1 (.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 2) (.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 3 (+.f64 alpha beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 3 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 3 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simplify183.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1528×	`associate-r`
1422×	`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 → 509

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
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(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(/.f64 (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 2) (+.f64 beta 1))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha (.f64 -1 (.f64 beta (+.f64 1 alpha)))))
(+.f64 2 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 beta 2)) (+.f64 alpha (.f64 -1 (*.f64 beta (+.f64 1 alpha))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 1 alpha))) (+.f64 2 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 beta 2)) (+.f64 alpha (.f64 -1 (*.f64 beta (+.f64 1 alpha)))))))
1
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) 1)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (+.f64 2 alpha))) beta)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (+.f64 2 alpha))) beta)) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (+.f64 2 alpha))) beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (.f64 2 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 2 (.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha)))))) (.f64 2 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 2 (.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)) (.f64 2 (.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (+.f64 beta 1) (.f64 2 (.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2))) (.f64 -1 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 2 (.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha))))))) (.f64 2 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 4 (.f64 2 alpha)))) (pow.f64 beta 3))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 4 (.f64 2 alpha)))) (pow.f64 beta 3)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (.f64 2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 2 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))))) (.f64 2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 2 alpha) (+.f64 (.f64 -2 (.f64 (-.f64 (+.f64 1 alpha) (.f64 2 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (.f64 (-.f64 (+.f64 1 alpha) (.f64 2 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 2 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))))))) (.f64 2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))) 1)
(*.f64 1 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))
(.f64 (+.f64 alpha 1) (.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta)))))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))) 1)
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(.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
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(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))))
(-.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))))

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 (/.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 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 alpha (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.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 (fma.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.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 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 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 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(fma.f64 -1 (.f64 (pow.f64 alpha 3) (fma.f64 -1 (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 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)))))))))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
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(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
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(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))))
(+.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)))
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(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (.f64 alpha alpha) (+.f64 beta 1))))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(/.f64 (*.f64 alpha alpha) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (.f64 alpha alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (.f64 alpha alpha) (+.f64 beta 1))))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(/.f64 (*.f64 alpha alpha) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (.f64 2 (/.f64 (.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (.f64 alpha alpha) (+.f64 beta 1)) (.f64 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 (.f64 alpha alpha) (+.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 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (/.f64 (.f64 alpha alpha) (+.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)))))
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(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (/.f64 (.f64 alpha alpha) (+.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 (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 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)))))))
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 3 (-.f64 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (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 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 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 alpha (+.f64 beta 1)) (+.f64 (/.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 alpha (+.f64 beta 1)) (+.f64 (/.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 alpha (+.f64 beta 1)) (+.f64 (/.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 alpha (+.f64 beta 1)) (+.f64 (/.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 alpha (+.f64 beta 1)) (+.f64 (/.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 alpha (+.f64 beta 1)) (+.f64 (/.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 alpha (+.f64 beta 1)) (+.f64 (/.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 alpha (+.f64 beta 1)) (+.f64 (/.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 2 alpha)
(+.f64 2 (+.f64 alpha (.f64 -1 (.f64 beta (+.f64 1 alpha)))))
(+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha))))
(+.f64 alpha (+.f64 (*.f64 beta (neg.f64 (+.f64 1 alpha))) 2))
(+.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 1 alpha) (.f64 beta beta) (+.f64 alpha (neg.f64 (.f64 beta (+.f64 1 alpha))))))
(+.f64 2 (fma.f64 (+.f64 1 alpha) (.f64 beta beta) (+.f64 alpha (.f64 beta (neg.f64 (+.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 1 alpha) (pow.f64 beta 3)) (+.f64 2 (fma.f64 (+.f64 1 alpha) (.f64 beta beta) (+.f64 alpha (neg.f64 (*.f64 beta (+.f64 1 alpha)))))))
(fma.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 2 (fma.f64 (+.f64 1 alpha) (.f64 beta beta) (+.f64 alpha (*.f64 beta (neg.f64 (+.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 alpha beta) (/.f64 1 beta)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) 1)))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 1))
(+.f64 (/.f64 alpha beta) (+.f64 (fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 1) (/.f64 1 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 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 1) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))
(+.f64 (+.f64 (/.f64 alpha beta) (+.f64 (fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 1) (/.f64 1 beta))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (+.f64 2 alpha))) beta)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 1 (neg.f64 (+.f64 2 alpha))) beta)))
(+.f64 1 (neg.f64 (/.f64 (neg.f64 (+.f64 1 alpha)) beta)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (+.f64 2 alpha))) beta)) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))))
(+.f64 (+.f64 (/.f64 1 (.f64 beta beta)) 1) (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (+.f64 2 alpha))) beta) (/.f64 (neg.f64 (+.f64 2 alpha)) (.f64 beta beta))))
(+.f64 (fma.f64 -1 (/.f64 (neg.f64 (+.f64 1 alpha)) beta) (/.f64 (neg.f64 (+.f64 2 alpha)) (.f64 beta beta))) (+.f64 1 (/.f64 1 (.f64 beta beta))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (+.f64 2 alpha))) beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))))))
(+.f64 (+.f64 (/.f64 1 (.f64 beta beta)) 1) (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (+.f64 2 alpha))) beta) (.f64 -1 (+.f64 (/.f64 (+.f64 1 (neg.f64 (+.f64 2 alpha))) (pow.f64 beta 3)) (/.f64 (+.f64 2 alpha) (*.f64 beta beta))))))
(+.f64 (fma.f64 -1 (/.f64 (neg.f64 (+.f64 1 alpha)) beta) (.f64 -1 (+.f64 (/.f64 (+.f64 2 alpha) (.f64 beta beta)) (/.f64 (neg.f64 (+.f64 1 alpha)) (pow.f64 beta 3))))) (+.f64 1 (/.f64 1 (*.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 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.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))))
(fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2)))))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (.f64 beta 2))))) alpha (fma.f64 -1 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (.f64 beta 2))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (*.f64 beta 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (.f64 beta 2)))))) alpha (fma.f64 -1 (.f64 alpha (.f64 alpha (+.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (.f64 beta 2)))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (*.f64 beta 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(fma.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (.f64 beta 2))))) alpha (fma.f64 -1 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (.f64 beta 2))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (.f64 beta 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (fma.f64 (-.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 beta 2))) (pow.f64 (+.f64 beta 2) 6)) (fma.f64 -1 (/.f64 (+.f64 4 (.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (.f64 beta 2))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (.f64 beta 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (.f64 beta 2)))))) alpha (fma.f64 -1 (.f64 alpha (.f64 alpha (+.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (.f64 beta 2)))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (.f64 beta 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (fma.f64 (-.f64 (-.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 beta 2))) (pow.f64 (+.f64 beta 2) 6)) (/.f64 (.f64 (.f64 -2 (+.f64 beta 2)) (+.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (.f64 beta 2)))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (*.f64 beta 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (+.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 (.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 (.f64 alpha alpha))) (/.f64 1 alpha))) (/.f64 (+.f64 beta 1) (/.f64 (.f64 alpha alpha) (+.f64 4 (.f64 beta 2)))))
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(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (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 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (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 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))

localize28.0ms (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)))
✓	2.2b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	4.1b	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 85 to 53 computations (37.6% saved)

series10.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	0	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
1.0ms	beta	@	0	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	0	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	0	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
0.0ms	alpha	@	-inf	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))

rewrite124.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	136
1	419	136
2	6742	136

Stop Event

1×	node limit

Counts

4 → 217

Calls

Call 1

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

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

simplify185.0ms (0.8%)

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

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
✓	0.0b	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
✓	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
✓	4.1b	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1)))

Compiler

Compiled 124 to 60 computations (51.6% saved)

series55.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
41.0ms	alpha	@	0	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
3.0ms	alpha	@	-inf	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))

rewrite115.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	202
1	368	162
2	5911	162

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) (.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 (fma.f64 alpha beta 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simplify176.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1500×	`+-commutative`
1418×	`associate-r`
1364×	`associate-l`
1142×	`associate-+r+`
882×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	993	26307
1	3415	26133

Stop Event

1×	node limit

Counts

269 → 521

Calls

Call 1

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

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

localize32.0ms (0.1%)

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))
✓	11.8b	(/.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)

series8.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	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)))
1.0ms	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)))
1.0ms	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)))
0.0ms	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)))
0.0ms	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)))

rewrite133.0ms (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 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.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 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2) 1) (/.f64 (cbrt.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 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.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 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2)) (/.f64 (sqrt.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 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2) (sqrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (/.f64 (cbrt.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 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2) (pow.f64 (cbrt.f64 (.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 pow.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 pow.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)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.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))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (neg.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.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 log.f64 (exp.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 log.f64 (+.f64 1 (expm1.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))))))

simplify193.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	839	23213
1	2944	22607

Stop Event

1×	node limit

Counts

307 → 452

Calls

Call 1

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

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.1b	(.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	11.8b	(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))

Compiler

Compiled 95 to 58 computations (38.9% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	121
1	429	121
2	6687	121

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify140.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1330×	`distribute-lft-in`
1222×	`distribute-rgt-in`
934×	`associate-r`
836×	`+-commutative`
816×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	611	16987
1	2114	16415

Stop Event

1×	node limit

Counts

193 → 310

Calls

Call 1

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

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

eval3.5s (15.9%)

Compiler: Compiled 122167 to 85652 computations (29.9% saved)

prune875.0ms (3.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	2364	22	2386
Fresh	0	0	0
Picked	1	0	1
Done	4	0	4
Total	2369	22	2391

Error

Counts

2391 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	2.8b	(/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	5.2b	(/.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))))
	5.5b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	62.7b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
▶	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 2 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
▶	23.3b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	19.5b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
	17.7b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	28.5b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	32.9b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (fma.f64 beta (+.f64 4 (.f64 alpha 2)) (*.f64 beta beta)))
	10.6b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	62.0b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	10.4b	(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
	19.4b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	26.6b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	30.9b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	37.3b	(/.f64 (*.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 alpha (+.f64 beta 3)))
▶	39.7b	(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	2.3b	(/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 beta))))
	1.9b	(.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 998 to 702 computations (29.7% saved)

localize59.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 107 to 67 computations (37.4% saved)

series18.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`add-sqr-sqrt`
538×	`pow1`
538×	`*-un-lft-identity`
520×	`add-cbrt-cube`
520×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	196
1	527	178

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

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

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

simplify201.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1310×	`+-commutative`
1234×	`associate-r`
1222×	`associate-l`
1044×	`associate-+r+`
954×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	955	27459
1	3401	26807

Stop Event

1×	node limit

Counts

261 → 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))))))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 3)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1 (.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))))))) (+.f64 4 (.f64 2 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 3))))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2)))
(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 (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)))
(*.f64 1 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(.f64 (+.f64 alpha 1) (.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (+.f64 alpha 1) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))))
(.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) (.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 2) (.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 (+.f64 alpha 1) (-.f64 -2 (+.f64 alpha beta))) (.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))
(.f64 (.f64 (+.f64 alpha 1) (neg.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (+.f64 (.f64 alpha alpha) (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 beta (+.f64 alpha 3))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) (+.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (-.f64 -2 (+.f64 alpha beta))) 1) (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (-.f64 -2 (+.f64 alpha beta))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (-.f64 -2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(pow.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))) 2)
(neg.f64 (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) (neg.f64 (+.f64 beta (+.f64 alpha 3)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))))
(cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) (pow.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 2)))
(cbrt.f64 (/.f64 (.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) (pow.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) 2)) (.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 2))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))))
(exp.f64 (log.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))))
(exp.f64 (-.f64 (log.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) (log.f64 (+.f64 beta (+.f64 alpha 3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))))
(+.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) (neg.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 -1 beta) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))))
(.f64 (sqrt.f64 (-.f64 -1 beta)) (.f64 (sqrt.f64 (-.f64 -1 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (.f64 (cbrt.f64 (-.f64 -1 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 -1 beta))
(*.f64 (neg.f64 (-.f64 -1 beta)) (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 -1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 -1 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(.f64 (/.f64 (-.f64 -1 beta) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta))) (-.f64 (+.f64 alpha 2) beta))
(.f64 (/.f64 (-.f64 -1 beta) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (+.f64 beta (+.f64 alpha 2))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(neg.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (*.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))) 2)))
(cbrt.f64 (/.f64 (.f64 (-.f64 -1 beta) (pow.f64 (-.f64 -1 beta) 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (-.f64 (log.f64 (-.f64 -1 beta)) (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))))
(.f64 1 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))
(*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))
(*.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 alpha 1) (-.f64 -2 (+.f64 alpha beta))))
(.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) 1)
(.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(.f64 (sqrt.f64 (+.f64 alpha 1)) (.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))
(.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 2) (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))
(*.f64 (/.f64 (+.f64 alpha 1) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (+.f64 alpha 1))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta))))
(*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (/.f64 -1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (-.f64 -2 (+.f64 alpha beta))) 1) (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (-.f64 -2 (+.f64 alpha beta))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (-.f64 -2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))) 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))) (/.f64 (+.f64 alpha 1) (/.f64 1 (sqrt.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))))
(*.f64 (/.f64 1 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 alpha 1) (neg.f64 (-.f64 -2 (+.f64 alpha beta)))) (/.f64 (neg.f64 (-.f64 -1 beta)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) 1) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 2)) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (cbrt.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (/.f64 1 (sqrt.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 (sqrt.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 2)) (cbrt.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(*.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 beta (+.f64 alpha 2))))
(pow.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 2)
(neg.f64 (/.f64 (+.f64 alpha 1) (/.f64 -1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha 1)) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))
(cbrt.f64 (.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) (pow.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) 2)))
(cbrt.f64 (/.f64 (*.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha 1) 2)) (/.f64 (pow.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) 2) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(exp.f64 (-.f64 (log.f64 (+.f64 alpha 1)) (log.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(+.f64 (.f64 -2 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta))) (neg.f64 (.f64 (/.f64 (+.f64 alpha beta) (-.f64 -1 beta)) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) beta) (.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (+.f64 alpha 2)))
(+.f64 (.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (+.f64 alpha 2)) (.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) beta))
(+.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)))
(+.f64 (.f64 beta (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (.f64 (+.f64 alpha 2) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(+.f64 (.f64 (+.f64 alpha 2) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (.f64 beta (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(+.f64 (.f64 2 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(-.f64 (.f64 -2 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta))) (.f64 (/.f64 (+.f64 alpha beta) (-.f64 -1 beta)) (+.f64 beta (+.f64 alpha 2))))
(-.f64 (/.f64 (-.f64 -2 beta) (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 1 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta)))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(*.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) 1)
(.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) (/.f64 1 (sqrt.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2) (.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta))))
(*.f64 (cbrt.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 2) (cbrt.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta)) (-.f64 -2 (+.f64 alpha beta)))
(*.f64 (neg.f64 (-.f64 -2 (+.f64 alpha beta))) (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (+.f64 beta (+.f64 alpha 2)))))
(.f64 (.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1) (+.f64 beta (+.f64 alpha 2)))
(.f64 (.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(.f64 (.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta)))
(*.f64 (/.f64 1 (-.f64 -1 beta)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))) 2)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) 1) (/.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (/.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))) 2)) (/.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2) (-.f64 -1 beta)) (/.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2) (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2)))) 2)) (cbrt.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(pow.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 2)
(neg.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 (neg.f64 (-.f64 -1 beta)) (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (pow.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) 2))
(log.f64 (exp.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) 2) (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))))
(cbrt.f64 (/.f64 (.f64 (-.f64 -2 (+.f64 alpha beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))) 2))))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(exp.f64 (log.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))
(exp.f64 (-.f64 (log.f64 (-.f64 -2 (+.f64 alpha beta))) (log.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)))))

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.3b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite64.0ms (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))))))))

simplify63.0ms (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))

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 56 to 39 computations (30.4% saved)

series12.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite111.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1850×	`associate-/r/`
456×	`associate-+l+`
360×	`+-commutative`
344×	`add-sqr-sqrt`
334×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	329	72
2	4938	72

Stop Event

1×	node limit

Counts

2 → 182

Calls

Call 1

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

Outputs

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

simplify153.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1334×	`associate-/l*`
1224×	`associate-r`
1208×	`associate-*l/`
1134×	`associate-l`
1072×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	811	20104
1	2958	19740

Stop Event

1×	node limit

Counts

230 → 417

Calls

Call 1

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

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1 alpha) beta)
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
	0.1b	(.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	11.8b	(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))

Compiler

Compiled 82 to 53 computations (35.4% saved)

series15.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	alpha	@	0	(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
3.0ms	alpha	@	inf	(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
1.0ms	beta	@	0	(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
1.0ms	alpha	@	-inf	(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
1.0ms	beta	@	-inf	(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`associate-/l/`
472×	`associate-+l+`
460×	`+-commutative`
450×	`associate-+r+`
398×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	382	68
2	6076	68

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

860×	`distribute-lft-in`
806×	`distribute-rgt-in`
710×	`times-frac`
698×	`associate-r`
640×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	459	10351
1	1585	9447

Stop Event

1×	node limit

Counts

123 → 178

Calls

Call 1

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (*.f64 beta alpha))) 1)
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	2.2b	(/.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))))
✓	4.1b	(/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (*.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 108 to 54 computations (50% saved)

series9.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite123.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`+-commutative`
658×	`associate-+r+`
480×	`add-sqr-sqrt`
468×	`pow1`
468×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	153
1	453	141
2	7514	123

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify152.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1588×	`distribute-lft-in`
1116×	`+-commutative`
1034×	`associate-r`
970×	`associate-l`
968×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	752	18872
1	2508	18632

Stop Event

1×	node limit

Counts

220 → 359

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

eval1.9s (8.4%)

Compiler: Compiled 84189 to 59884 computations (28.9% saved)

prune736.0ms (3.3%)

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	1822	21	1843
Fresh	8	9	17
Picked	0	1	1
Done	1	3	4
Total	1831	34	1865

Error

Counts

1865 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	29.6b	(pow.f64 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)) -1)
	23.8b	(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha 1))) -1)
	33.5b	(pow.f64 beta -2)
	33.3b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
✓	5.2b	(/.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))))
	5.5b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 2 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
✓	23.3b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	19.5b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
	17.7b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
▶	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	28.5b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	56.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (+.f64 3 (*.f64 2 alpha)))
	29.0b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	62.6b	(/.f64 (/.f64 beta alpha) alpha)
	28.0b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
	10.6b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
▶	10.4b	(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
	19.4b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	26.6b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	55.8b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 (.f64 2 alpha)) (+.f64 3 alpha)))
✓	30.9b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
▶	23.3b	(/.f64 (.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
	40.4b	(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 beta beta)))
	48.7b	(/.f64 (.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	62.1b	(/.f64 beta (*.f64 alpha alpha))
	44.9b	(/.f64 alpha (*.f64 beta beta))
	33.8b	(/.f64 1 (*.f64 beta beta))
	56.1b	(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
▶	62.4b	(/.f64 1/2 alpha)
	31.8b	(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (-.f64 (.f64 beta beta) (.f64 (+.f64 3 (.f64 alpha 2)) (+.f64 3 (.f64 alpha 2))))) (-.f64 beta (+.f64 3 (.f64 alpha 2))))
	2.3b	(.f64 (/.f64 (+.f64 1 alpha) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))))
▶	29.1b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	30.1b	(.f64 (/.f64 beta (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 1130 to 802 computations (29% saved)

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)

series9.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite99.0ms (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 +.f64 (.f64 (+.f64 2 alpha) (/.f64 -1 (-.f64 -1 beta))) (.f64 beta (/.f64 -1 (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 -2 (-.f64 -1 beta)) 1) (.f64 (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1 beta) (neg.f64 (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 1 (/.f64 beta -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (-.f64 -1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (.f64 (-.f64 1 (/.f64 beta -1)) (-.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (.f64 (-.f64 1 (/.f64 beta -1)) (-.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (.f64 (-.f64 1 (/.f64 beta -1)) (+.f64 4 (.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (.f64 (neg.f64 (-.f64 -1 beta)) (+.f64 4 (.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (.f64 (-.f64 1 (/.f64 beta -1)) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (.f64 (neg.f64 (-.f64 -1 beta)) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (.f64 (-.f64 -1 beta) (-.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 -1 beta) (-.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (-.f64 -1 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beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))))))

simplify228.0ms (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)))
(+.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 (/.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))))
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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))))
(-.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 (+.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)
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(/.f64 (neg.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (-.f64 -1 beta)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 1)
(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)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))))))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (-.f64 -1 beta)) 3) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (pow.f64 (/.f64 -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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(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)))

localize3.0ms (0%)

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

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 16 computations (36% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite123.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	197	32
2	2674	32

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

Outputs

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

simplify126.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

228 → 276

Calls

Call 1

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

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

localize30.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.1b

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

✓

0.1b

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

Compiler

Compiled 76 to 55 computations (27.6% saved)

series14.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	alpha	@	inf	(/.f64 1 (-.f64 -3 (+.f64 beta (*.f64 alpha 2))))
1.0ms	beta	@	-inf	(/.f64 (.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
1.0ms	alpha	@	-inf	(/.f64 (.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
0.0ms	beta	@	0	(/.f64 (.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
0.0ms	alpha	@	0	(/.f64 (.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))

rewrite410.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`associate-/l/`
448×	`+-commutative`
432×	`associate-+l+`
428×	`add-sqr-sqrt`
412×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	105
1	419	93
2	5946	93

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify161.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1088×	`associate-/r*`
972×	`distribute-lft-in`
942×	`associate-r`
908×	`distribute-rgt-in`
800×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	699	14924
1	2370	14364

Stop Event

1×	node limit

Counts

208 → 324

Calls

Call 1

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

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

localize28.0ms (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))

✓

7.0b

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

Compiler

Compiled 82 to 46 computations (43.9% saved)

series8.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify141.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

66 → 132

Calls

Call 1

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

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

eval1.3s (5.9%)

Compiler: Compiled 63221 to 45913 computations (27.4% saved)

prune642.0ms (2.9%)

Pruning

38 alts after pruning (31 fresh and 7 done)

	Pruned	Kept	Total
New	1514	12	1526
Fresh	6	19	25
Picked	1	0	1
Done	1	7	8
Total	1522	38	1560

Error

Counts

1560 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	23.8b	(pow.f64 (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -1 alpha))) -1)
	33.5b	(pow.f64 beta -2)
	33.3b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
✓	5.2b	(/.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))))
	5.5b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 2 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
✓	23.3b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	19.5b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 2 (.f64 beta (-.f64 -1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
	17.7b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	28.5b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
▶	56.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (+.f64 3 (*.f64 2 alpha)))
	29.0b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	62.6b	(/.f64 (/.f64 beta alpha) alpha)
	28.0b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
	10.6b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	10.6b	(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 2)))
	38.8b	(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
	19.4b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	26.6b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	55.8b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 (.f64 alpha 2)) (+.f64 alpha 3)))
✓	30.9b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
✓	23.3b	(/.f64 (.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
	23.5b	(/.f64 (*.f64 (/.f64 -1 (+.f64 beta 3)) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
	28.6b	(/.f64 (*.f64 (/.f64 -1 beta) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
▶	48.7b	(/.f64 (.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	62.1b	(/.f64 beta (*.f64 alpha alpha))
	44.9b	(/.f64 alpha (*.f64 beta beta))
	33.8b	(/.f64 1 (*.f64 beta beta))
▶	61.7b	(/.f64 1 (*.f64 alpha alpha))
▶	56.1b	(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
✓	62.4b	(/.f64 1/2 alpha)
	29.6b	(/.f64 -1 (*.f64 beta (/.f64 beta (-.f64 -1 alpha))))
▶	5.1b	(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
	31.8b	(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (-.f64 (.f64 beta beta) (.f64 (+.f64 3 (.f64 alpha 2)) (+.f64 3 (.f64 alpha 2))))) (-.f64 beta (+.f64 3 (.f64 alpha 2))))
	30.1b	(.f64 (/.f64 beta (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))
	43.2b	(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
	33.5b	(*.f64 (/.f64 1 beta) (/.f64 1 beta))

Compiler

Compiled 1157 to 825 computations (28.7% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 91 to 60 computations (34.1% saved)

series16.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite120.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`+-commutative`
478×	`associate-+l+`
436×	`add-sqr-sqrt`
424×	`pow1`
424×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	166
1	418	154
2	6519	154

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

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

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

simplify208.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1526×	`associate-r`
1318×	`associate-l`
1218×	`+-commutative`
1186×	`associate-/r*`
844×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	919	23683
1	3162	23225

Stop Event

1×	node limit

Counts

261 → 453

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 alpha alpha))

Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1024×	`add-sqr-sqrt`
1006×	`*-un-lft-identity`
950×	`pow1`
938×	`add-cube-cbrt`
930×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	120	7
2	1422	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1720×	`associate-/l*`
892×	`associate-r`
778×	`associate-+r+`
700×	`distribute-rgt-in`
696×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	446
1	123	266
2	466	254
3	2690	254

Stop Event

1×	node limit

Counts

32 → 26

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`associate-*r/`
1000×	`associate-*l/`
918×	`*-commutative`
810×	`distribute-lft-in`
506×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	209	19
2	2823	19

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1058×	`distribute-lft-in`
1028×	`times-frac`
918×	`distribute-rgt-in`
814×	`associate-/l*`
798×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	3540
1	665	3482
2	2530	3450

Stop Event

1×	node limit

Counts

74 → 124

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 40 to 30 computations (25% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite100.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1642×	`associate-/r/`
1400×	`associate-/l/`
1248×	`distribute-lft-in`
282×	`add-sqr-sqrt`
272×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	275	52
2	3943	52

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

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

Outputs

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

simplify157.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1002×	`+-commutative`
872×	`*-commutative`
862×	`associate-r`
798×	`associate-l`
752×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	526	8840
1	1689	7814
2	7866	7814

Stop Event

1×	node limit

Counts

190 → 296

Calls

Call 1

Inputs
1/9
(+.f64 1/9 (*.f64 -2/81 (pow.f64 alpha 2)))
(+.f64 1/9 (+.f64 (.f64 -2/81 (pow.f64 alpha 2)) (.f64 2/81 (pow.f64 alpha 3))))
(+.f64 1/9 (+.f64 (.f64 -2/81 (pow.f64 alpha 2)) (+.f64 (.f64 2/81 (pow.f64 alpha 3)) (*.f64 -14/729 (pow.f64 alpha 4)))))
(/.f64 1/2 alpha)
(-.f64 (.f64 1/2 (/.f64 1 alpha)) (.f64 7/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 45/8 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))) (*.f64 7/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 45/8 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))) (+.f64 (.f64 279/16 (/.f64 1 (pow.f64 alpha 4))) (.f64 7/4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 1/2 alpha)
(-.f64 (.f64 1/2 (/.f64 1 alpha)) (.f64 7/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 45/8 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))) (*.f64 7/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 45/8 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))) (+.f64 (.f64 279/16 (/.f64 1 (pow.f64 alpha 4))) (.f64 7/4 (/.f64 1 (pow.f64 alpha 2)))))
1/3
(+.f64 (*.f64 2/9 alpha) 1/3)
(+.f64 (.f64 2/9 alpha) (+.f64 1/3 (.f64 -2/27 (pow.f64 alpha 2))))
(+.f64 (.f64 2/9 alpha) (+.f64 1/3 (+.f64 (.f64 2/81 (pow.f64 alpha 3)) (*.f64 -2/27 (pow.f64 alpha 2)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) 3) (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) (neg.f64 (*.f64 alpha 2))))
(+.f64 (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) 3) (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) (.f64 -1 (.f64 alpha 2))))
(+.f64 (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) 3) (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) (*.f64 (neg.f64 alpha) 2)))
(+.f64 (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) 3) (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) (*.f64 -2 alpha)))
(+.f64 (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) 3) (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) (.f64 (neg.f64 (sqrt.f64 (.f64 alpha 2))) (sqrt.f64 (*.f64 alpha 2)))))
(+.f64 (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) 3) (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 alpha 2)) 2)) (cbrt.f64 (*.f64 alpha 2)))))
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(.f64 (/.f64 (.f64 (-.f64 1 (.f64 alpha alpha)) (/.f64 1 (+.f64 alpha 3))) (-.f64 1 (pow.f64 alpha 3))) (+.f64 1 (+.f64 alpha (.f64 alpha alpha))))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (+.f64 alpha 3))) (-.f64 1 (.f64 (-.f64 (.f64 alpha alpha) alpha) (-.f64 (.f64 alpha alpha) alpha)))) (+.f64 (-.f64 1 (.f64 alpha alpha)) alpha))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (+.f64 alpha 3))) (+.f64 1 (pow.f64 (-.f64 (.f64 alpha alpha) alpha) 3))) (+.f64 1 (+.f64 (-.f64 (.f64 (-.f64 (.f64 alpha alpha) alpha) (-.f64 (.f64 alpha alpha) alpha)) (*.f64 alpha alpha)) alpha)))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 alpha 3))) (sqrt.f64 (+.f64 27 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 9 (.f64 alpha (-.f64 alpha 3)))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 alpha 3))) (sqrt.f64 (-.f64 9 (.f64 alpha alpha)))) (sqrt.f64 (-.f64 3 alpha)))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (cbrt.f64 (+.f64 27 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 9 (.f64 alpha (-.f64 alpha 3)))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (cbrt.f64 (-.f64 9 (.f64 alpha alpha)))) (cbrt.f64 (-.f64 3 alpha)))
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 -3 alpha) (-.f64 -1 alpha)) -1)
(neg.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 alpha 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 3))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))

Outputs
1/9
(+.f64 1/9 (*.f64 -2/81 (pow.f64 alpha 2)))
(+.f64 1/9 (.f64 -2/81 (.f64 alpha alpha)))
(fma.f64 -2/81 (*.f64 alpha alpha) 1/9)
(+.f64 1/9 (+.f64 (.f64 -2/81 (pow.f64 alpha 2)) (.f64 2/81 (pow.f64 alpha 3))))
(+.f64 1/9 (fma.f64 -2/81 (.f64 alpha alpha) (.f64 2/81 (pow.f64 alpha 3))))
(+.f64 1/9 (fma.f64 2/81 (pow.f64 alpha 3) (.f64 -2/81 (.f64 alpha alpha))))
(+.f64 1/9 (+.f64 (.f64 -2/81 (pow.f64 alpha 2)) (+.f64 (.f64 2/81 (pow.f64 alpha 3)) (*.f64 -14/729 (pow.f64 alpha 4)))))
(+.f64 1/9 (fma.f64 -2/81 (.f64 alpha alpha) (fma.f64 2/81 (pow.f64 alpha 3) (.f64 -14/729 (pow.f64 alpha 4)))))
(+.f64 (fma.f64 -2/81 (.f64 alpha alpha) 1/9) (fma.f64 2/81 (pow.f64 alpha 3) (.f64 -14/729 (pow.f64 alpha 4))))
(/.f64 1/2 alpha)
(-.f64 (.f64 1/2 (/.f64 1 alpha)) (.f64 7/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1/2 alpha) (/.f64 7/4 (*.f64 alpha alpha)))
(+.f64 (/.f64 1/2 alpha) (/.f64 -7/4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 45/8 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))) (*.f64 7/4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 45/8 (pow.f64 alpha 3)) (-.f64 (/.f64 1/2 alpha) (/.f64 7/4 (*.f64 alpha alpha))))
(+.f64 (/.f64 1/2 alpha) (-.f64 (/.f64 45/8 (pow.f64 alpha 3)) (/.f64 7/4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (.f64 45/8 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))) (+.f64 (.f64 279/16 (/.f64 1 (pow.f64 alpha 4))) (.f64 7/4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 45/8 (pow.f64 alpha 3)) (-.f64 (/.f64 1/2 alpha) (+.f64 (/.f64 7/4 (*.f64 alpha alpha)) (/.f64 279/16 (pow.f64 alpha 4)))))
(+.f64 (/.f64 45/8 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1/2 alpha) (/.f64 -7/4 (*.f64 alpha alpha))) (/.f64 279/16 (pow.f64 alpha 4))))
(/.f64 1/2 alpha)
(-.f64 (.f64 1/2 (/.f64 1 alpha)) (.f64 7/4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1/2 alpha) (/.f64 7/4 (*.f64 alpha alpha)))
(+.f64 (/.f64 1/2 alpha) (/.f64 -7/4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 45/8 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))) (*.f64 7/4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 45/8 (pow.f64 alpha 3)) (-.f64 (/.f64 1/2 alpha) (/.f64 7/4 (*.f64 alpha alpha))))
(+.f64 (/.f64 1/2 alpha) (-.f64 (/.f64 45/8 (pow.f64 alpha 3)) (/.f64 7/4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (.f64 45/8 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/2 (/.f64 1 alpha))) (+.f64 (.f64 279/16 (/.f64 1 (pow.f64 alpha 4))) (.f64 7/4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 45/8 (pow.f64 alpha 3)) (-.f64 (/.f64 1/2 alpha) (+.f64 (/.f64 7/4 (*.f64 alpha alpha)) (/.f64 279/16 (pow.f64 alpha 4)))))
(+.f64 (/.f64 45/8 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1/2 alpha) (/.f64 -7/4 (*.f64 alpha alpha))) (/.f64 279/16 (pow.f64 alpha 4))))
1/3
(+.f64 (*.f64 2/9 alpha) 1/3)
(fma.f64 2/9 alpha 1/3)
(fma.f64 alpha 2/9 1/3)
(+.f64 (.f64 2/9 alpha) (+.f64 1/3 (.f64 -2/27 (pow.f64 alpha 2))))
(+.f64 (fma.f64 2/9 alpha 1/3) (.f64 -2/27 (.f64 alpha alpha)))
(fma.f64 alpha 2/9 (fma.f64 -2/27 (*.f64 alpha alpha) 1/3))
(+.f64 (.f64 2/9 alpha) (+.f64 1/3 (+.f64 (.f64 2/81 (pow.f64 alpha 3)) (*.f64 -2/27 (pow.f64 alpha 2)))))
(+.f64 (fma.f64 2/9 alpha 1/3) (fma.f64 2/81 (pow.f64 alpha 3) (.f64 -2/27 (.f64 alpha alpha))))
(+.f64 (fma.f64 alpha 2/9 1/3) (fma.f64 2/81 (pow.f64 alpha 3) (.f64 -2/27 (.f64 alpha alpha))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(+.f64 1 (/.f64 -2 alpha))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(+.f64 1 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 1 (/.f64 6 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 18 (pow.f64 alpha 3))))
(-.f64 (+.f64 1 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (/.f64 18 (pow.f64 alpha 3)))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(+.f64 1 (/.f64 -2 alpha))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(+.f64 1 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(-.f64 (+.f64 1 (/.f64 6 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 18 (pow.f64 alpha 3))))
(-.f64 (+.f64 1 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))) (/.f64 18 (pow.f64 alpha 3)))
(+.f64 (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) 3) (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) (neg.f64 (*.f64 alpha 2))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 9 (.f64 -4 (.f64 alpha alpha))) (+.f64 alpha 3))) (+.f64 3 (*.f64 alpha -2)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (+.f64 9 (.f64 (*.f64 alpha alpha) -4))) (fma.f64 alpha -2 3))
(+.f64 (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) 3) (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) (.f64 -1 (.f64 alpha 2))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 9 (.f64 -4 (.f64 alpha alpha))) (+.f64 alpha 3))) (+.f64 3 (*.f64 alpha -2)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (+.f64 9 (.f64 (*.f64 alpha alpha) -4))) (fma.f64 alpha -2 3))
(+.f64 (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) 3) (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) (*.f64 (neg.f64 alpha) 2)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 9 (.f64 -4 (.f64 alpha alpha))) (+.f64 alpha 3))) (+.f64 3 (*.f64 alpha -2)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (+.f64 9 (.f64 (*.f64 alpha alpha) -4))) (fma.f64 alpha -2 3))
(+.f64 (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) 3) (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) (*.f64 -2 alpha)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 9 (.f64 -4 (.f64 alpha alpha))) (+.f64 alpha 3))) (+.f64 3 (*.f64 alpha -2)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (+.f64 9 (.f64 (*.f64 alpha alpha) -4))) (fma.f64 alpha -2 3))
(+.f64 (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) 3) (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) (.f64 (neg.f64 (sqrt.f64 (.f64 alpha 2))) (sqrt.f64 (*.f64 alpha 2)))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 9 (.f64 -4 (.f64 alpha alpha))) (+.f64 alpha 3))) (+.f64 3 (*.f64 alpha -2)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (+.f64 9 (.f64 (*.f64 alpha alpha) -4))) (fma.f64 alpha -2 3))
(+.f64 (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) 3) (.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 alpha 2)) 2)) (cbrt.f64 (*.f64 alpha 2)))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 9 (.f64 -4 (.f64 alpha alpha))) (+.f64 alpha 3))) (+.f64 3 (*.f64 alpha -2)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (+.f64 9 (.f64 (*.f64 alpha alpha) -4))) (fma.f64 alpha -2 3))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (+.f64 27 (.f64 8 (pow.f64 alpha 3)))) 9) (.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (+.f64 27 (.f64 8 (pow.f64 alpha 3)))) (-.f64 (.f64 4 (.f64 alpha alpha)) (*.f64 6 alpha))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 27 (.f64 (pow.f64 alpha 3) 8)) (+.f64 alpha 3))) (+.f64 (+.f64 (.f64 4 (.f64 alpha alpha)) (.f64 -6 alpha)) 9))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (/.f64 (+.f64 9 (.f64 alpha (+.f64 (*.f64 alpha 4) -6))) (fma.f64 (pow.f64 alpha 3) 8 27)))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (+.f64 27 (.f64 8 (pow.f64 alpha 3)))) (-.f64 (.f64 4 (.f64 alpha alpha)) (.f64 6 alpha))) (.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (+.f64 27 (*.f64 8 (pow.f64 alpha 3)))) 9))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 27 (.f64 (pow.f64 alpha 3) 8)) (+.f64 alpha 3))) (+.f64 (+.f64 (.f64 4 (.f64 alpha alpha)) (.f64 -6 alpha)) 9))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (/.f64 (+.f64 9 (.f64 alpha (+.f64 (*.f64 alpha 4) -6))) (fma.f64 (pow.f64 alpha 3) 8 27)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3))))) 1)
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))
(.f64 1 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))
(.f64 (+.f64 1 alpha) (.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 1 (fma.f64 alpha 2 3))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))
(.f64 (+.f64 1 alpha) (/.f64 1 (.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (/.f64 1 (fma.f64 alpha 2 3)))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))
(.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (/.f64 (+.f64 3 (.f64 -2 alpha)) (-.f64 9 (.f64 4 (.f64 alpha alpha)))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 9 (.f64 -4 (.f64 alpha alpha))) (+.f64 alpha 3))) (+.f64 3 (*.f64 alpha -2)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (+.f64 9 (.f64 (*.f64 alpha alpha) -4))) (fma.f64 alpha -2 3))
(.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (/.f64 (+.f64 (.f64 4 (.f64 alpha alpha)) (-.f64 9 (.f64 6 alpha))) (+.f64 27 (*.f64 8 (pow.f64 alpha 3)))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 27 (.f64 (pow.f64 alpha 3) 8)) (+.f64 alpha 3))) (+.f64 (+.f64 (.f64 4 (.f64 alpha alpha)) (.f64 -6 alpha)) 9))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (/.f64 (+.f64 9 (.f64 alpha (+.f64 (*.f64 alpha 4) -6))) (fma.f64 (pow.f64 alpha 3) 8 27)))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3))) 1)
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))
(.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (/.f64 1 (fma.f64 alpha 2 3))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (fma.f64 alpha 2 3)))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))
(.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (/.f64 1 (fma.f64 alpha 2 3))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))) 2))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))
(*.f64 (/.f64 1 (fma.f64 alpha 2 3)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))
(*.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 3)) (/.f64 1 (neg.f64 (fma.f64 alpha 2 3))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 3)) (+.f64 (*.f64 alpha -2) -3))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 alpha 2 3))) (/.f64 (-.f64 -1 alpha) (.f64 (sqrt.f64 (fma.f64 alpha 2 3)) (-.f64 -3 alpha))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 alpha)) (sqrt.f64 (fma.f64 alpha 2 3))) (sqrt.f64 (fma.f64 alpha 2 3)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 3)) 2)) (/.f64 (+.f64 1 alpha) (.f64 (cbrt.f64 (fma.f64 alpha 2 3)) (+.f64 alpha 3))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 3)) 2)) (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 3) (cbrt.f64 (fma.f64 alpha 2 3)))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (cbrt.f64 (fma.f64 alpha 2 3))) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 3)) 2))
(*.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 3)) (/.f64 1 (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3)))
(.f64 (/.f64 1 (-.f64 9 (.f64 4 (.f64 alpha alpha)))) (.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (+.f64 3 (*.f64 -2 alpha))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 9 (.f64 -4 (.f64 alpha alpha))) (+.f64 alpha 3))) (+.f64 3 (*.f64 alpha -2)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (+.f64 9 (.f64 (*.f64 alpha alpha) -4))) (fma.f64 alpha -2 3))
(.f64 (/.f64 1 (+.f64 27 (.f64 8 (pow.f64 alpha 3)))) (.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (+.f64 (.f64 4 (.f64 alpha alpha)) (-.f64 9 (.f64 6 alpha)))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 27 (.f64 (pow.f64 alpha 3) 8)) (+.f64 alpha 3))) (+.f64 (+.f64 (.f64 4 (.f64 alpha alpha)) (.f64 -6 alpha)) 9))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (/.f64 (+.f64 9 (.f64 alpha (+.f64 (*.f64 alpha 4) -6))) (fma.f64 (pow.f64 alpha 3) 8 27)))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (-.f64 9 (.f64 4 (.f64 alpha alpha))) (+.f64 alpha 3))) (+.f64 3 (*.f64 -2 alpha)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 9 (.f64 -4 (.f64 alpha alpha))) (+.f64 alpha 3))) (+.f64 3 (*.f64 alpha -2)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (+.f64 9 (.f64 (*.f64 alpha alpha) -4))) (fma.f64 alpha -2 3))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (+.f64 27 (.f64 8 (pow.f64 alpha 3)))) (+.f64 (.f64 4 (.f64 alpha alpha)) (-.f64 9 (*.f64 6 alpha))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 27 (.f64 (pow.f64 alpha 3) 8)) (+.f64 alpha 3))) (+.f64 (+.f64 (.f64 4 (.f64 alpha alpha)) (.f64 -6 alpha)) 9))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) (/.f64 (+.f64 9 (.f64 alpha (+.f64 (*.f64 alpha 4) -6))) (fma.f64 (pow.f64 alpha 3) 8 27)))
(.f64 (/.f64 1 (.f64 (+.f64 alpha 3) (fma.f64 alpha 2 3))) (+.f64 1 alpha))
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(.f64 (/.f64 (-.f64 1 (.f64 alpha alpha)) (/.f64 (-.f64 1 (pow.f64 alpha 3)) (/.f64 1 (+.f64 alpha 3)))) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 alpha alpha)) (+.f64 1 (fma.f64 alpha alpha alpha))) (+.f64 alpha 3)) (-.f64 1 (pow.f64 alpha 3)))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (+.f64 alpha 3))) (-.f64 1 (.f64 (-.f64 (.f64 alpha alpha) alpha) (-.f64 (.f64 alpha alpha) alpha)))) (+.f64 (-.f64 1 (.f64 alpha alpha)) alpha))
(.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 1) (/.f64 (-.f64 1 (.f64 (-.f64 (.f64 alpha alpha) alpha) (-.f64 (.f64 alpha alpha) alpha))) (/.f64 1 (+.f64 alpha 3)))) (-.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 1) (.f64 (-.f64 1 (.f64 (-.f64 (.f64 alpha alpha) alpha) (-.f64 (.f64 alpha alpha) alpha))) (+.f64 alpha 3))) (+.f64 alpha (-.f64 1 (.f64 alpha alpha))))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (+.f64 alpha 3))) (+.f64 1 (pow.f64 (-.f64 (.f64 alpha alpha) alpha) 3))) (+.f64 1 (+.f64 (-.f64 (.f64 (-.f64 (.f64 alpha alpha) alpha) (-.f64 (.f64 alpha alpha) alpha)) (*.f64 alpha alpha)) alpha)))
(.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 1) (/.f64 (+.f64 1 (pow.f64 (-.f64 (.f64 alpha alpha) alpha) 3)) (/.f64 1 (+.f64 alpha 3)))) (+.f64 1 (+.f64 alpha (-.f64 (.f64 (-.f64 (.f64 alpha alpha) alpha) (-.f64 (.f64 alpha alpha) alpha)) (.f64 alpha alpha)))))
(.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 1) (.f64 (+.f64 1 (pow.f64 (-.f64 (.f64 alpha alpha) alpha) 3)) (+.f64 alpha 3))) (+.f64 1 (fma.f64 (+.f64 alpha (-.f64 (.f64 alpha alpha) alpha)) (-.f64 (*.f64 alpha alpha) (+.f64 alpha alpha)) alpha)))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 alpha 3))) (sqrt.f64 (+.f64 27 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 9 (.f64 alpha (-.f64 alpha 3)))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (sqrt.f64 (+.f64 (pow.f64 alpha 3) 27)) (sqrt.f64 (+.f64 alpha 3)))) (sqrt.f64 (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (sqrt.f64 (+.f64 alpha 3)) (sqrt.f64 (+.f64 (pow.f64 alpha 3) 27)))) (sqrt.f64 (fma.f64 alpha (+.f64 alpha -3) 9)))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 alpha 3))) (sqrt.f64 (-.f64 9 (.f64 alpha alpha)))) (sqrt.f64 (-.f64 3 alpha)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (sqrt.f64 (-.f64 9 (*.f64 alpha alpha))) (sqrt.f64 (+.f64 alpha 3)))) (sqrt.f64 (-.f64 3 alpha)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (sqrt.f64 (+.f64 alpha 3)) (sqrt.f64 (-.f64 9 (*.f64 alpha alpha))))) (sqrt.f64 (-.f64 3 alpha)))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (cbrt.f64 (+.f64 27 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 9 (.f64 alpha (-.f64 alpha 3)))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) 27)) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2))) (cbrt.f64 (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2) (cbrt.f64 (+.f64 (pow.f64 alpha 3) 27)))) (cbrt.f64 (fma.f64 alpha (+.f64 alpha -3) 9)))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (cbrt.f64 (-.f64 9 (.f64 alpha alpha)))) (cbrt.f64 (-.f64 3 alpha)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (cbrt.f64 (-.f64 9 (*.f64 alpha alpha))) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2))) (cbrt.f64 (-.f64 3 alpha)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2) (cbrt.f64 (-.f64 9 (*.f64 alpha alpha))))) (cbrt.f64 (-.f64 3 alpha)))
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 1)
(fma.f64 (/.f64 1 (+.f64 alpha 3)) alpha (/.f64 1 (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (+.f64 alpha 3))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 2)
(fma.f64 (/.f64 1 (+.f64 alpha 3)) alpha (/.f64 1 (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (+.f64 alpha 3))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) 3)
(fma.f64 (/.f64 1 (+.f64 alpha 3)) alpha (/.f64 1 (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (+.f64 alpha 3))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 3) 1/3)
(fma.f64 (/.f64 1 (+.f64 alpha 3)) alpha (/.f64 1 (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (+.f64 alpha 3))
(pow.f64 (/.f64 (-.f64 -3 alpha) (-.f64 -1 alpha)) -1)
(*.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -3 alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 alpha))
(neg.f64 (/.f64 (+.f64 1 alpha) (-.f64 -3 alpha)))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -3 alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)) 2))
(fabs.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3)))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(fma.f64 (/.f64 1 (+.f64 alpha 3)) alpha (/.f64 1 (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (+.f64 alpha 3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))))
(fma.f64 (/.f64 1 (+.f64 alpha 3)) alpha (/.f64 1 (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (+.f64 alpha 3))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) 3))
(fma.f64 (/.f64 1 (+.f64 alpha 3)) alpha (/.f64 1 (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (+.f64 alpha 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 alpha 3) 3)))
(fma.f64 (/.f64 1 (+.f64 alpha 3)) alpha (/.f64 1 (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (+.f64 alpha 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(fma.f64 (/.f64 1 (+.f64 alpha 3)) alpha (/.f64 1 (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (+.f64 alpha 3))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 3))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (+.f64 alpha 3))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 3))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 3))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (+.f64 alpha 3))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))))
(fma.f64 (/.f64 1 (+.f64 alpha 3)) alpha (/.f64 1 (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (+.f64 alpha 3))

localize26.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.0b

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

0.1b

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

✓

7.2b

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

Compiler

Compiled 74 to 45 computations (39.2% saved)

series7.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`associate-/l/`
402×	`associate-+l+`
394×	`+-commutative`
392×	`associate-+r+`
360×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	341	49
2	5539	49

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

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

simplify111.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

616×	`*-commutative`
606×	`times-frac`
604×	`distribute-lft-in`
600×	`associate-/r*`
592×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	385	8523
1	1395	7899
2	6830	7895

Stop Event

1×	node limit

Counts

83 → 141

Calls

Call 1

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

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

eval1.3s (5.7%)

Compiler: Compiled 47263 to 34196 computations (27.6% saved)

prune526.0ms (2.4%)

Pruning

36 alts after pruning (28 fresh and 8 done)

	Pruned	Kept	Total
New	1247	7	1254
Fresh	5	21	26
Picked	0	1	1
Done	4	7	11
Total	1256	36	1292

Error

Counts

1292 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	23.8b	(pow.f64 (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -1 alpha))) -1)
	33.5b	(pow.f64 beta -2)
	33.3b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
✓	5.2b	(/.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))))
	5.5b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	5.4b	(/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 2 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
✓	23.3b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	19.5b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 2 (.f64 beta (-.f64 -1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
	17.7b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	28.5b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	29.0b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	28.0b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
	10.6b	(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 2)))
	38.8b	(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
	19.4b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	26.6b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	30.9b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
✓	23.3b	(/.f64 (.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
	23.5b	(/.f64 (*.f64 (/.f64 -1 (+.f64 beta 3)) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
	28.6b	(/.f64 (*.f64 (/.f64 -1 beta) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
	55.1b	(/.f64 (.f64 beta alpha) (+.f64 (.f64 (+.f64 beta 2) (.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))) (.f64 alpha (*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))))))
✓	48.7b	(/.f64 (.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	49.0b	(/.f64 (.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 beta beta)))
	62.5b	(/.f64 (.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 alpha alpha)))
	44.9b	(/.f64 alpha (*.f64 beta beta))
	33.8b	(/.f64 1 (*.f64 beta beta))
✓	61.7b	(/.f64 1 (*.f64 alpha alpha))
	60.2b	(/.f64 1/2 beta)
	29.6b	(/.f64 -1 (*.f64 beta (/.f64 beta (-.f64 -1 alpha))))
	5.5b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
	30.1b	(.f64 (/.f64 beta (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))
	43.2b	(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
	33.5b	(*.f64 (/.f64 1 beta) (/.f64 1 beta))
	56.6b	1/9

Compiler

Compiled 627 to 439 computations (30% saved)

regimes115.0ms (0.5%)

Counts

67 → 1

Calls

Call 1

Inputs
1/9
(/.f64 1/2 alpha)
(/.f64 1/2 beta)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 beta (*.f64 alpha alpha))
(/.f64 (/.f64 beta alpha) alpha)
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 -1 (*.f64 beta (/.f64 beta (-.f64 -1 alpha))))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 alpha alpha)))
(/.f64 (.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 beta beta)))
(/.f64 (*.f64 (/.f64 -1 beta) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 (.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 3 (.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (+.f64 3 (*.f64 2 alpha)))
(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 beta beta)))
(/.f64 (*.f64 (/.f64 -1 (+.f64 beta 3)) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(.f64 (/.f64 beta (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(.f64 (/.f64 (+.f64 1 alpha) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (.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 alpha (+.f64 2 (.f64 beta (-.f64 -1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 2 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (.f64 beta (+.f64 1 alpha)))))) (+.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 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 (+.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 alpha 1) (+.f64 alpha (+.f64 beta 3))) (-.f64 (.f64 beta beta) (.f64 (+.f64 3 (.f64 alpha 2)) (+.f64 3 (.f64 alpha 2))))) (-.f64 beta (+.f64 3 (.f64 alpha 2))))
(/.f64 (.f64 beta alpha) (+.f64 (.f64 (+.f64 beta 2) (.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))) (.f64 alpha (*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(pow.f64 beta -2)
(pow.f64 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)) -1)
(.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
(/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 beta))))
(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (fma.f64 beta (+.f64 4 (.f64 alpha 2)) (*.f64 beta beta)))
(/.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 (+.f64 beta 2) (+.f64 alpha (.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha 1))) -1)
(pow.f64 (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -1 alpha))) -1)
(/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.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 alpha (+.f64 beta 3)))

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

Calls

3 calls:

35.0ms

alpha

33.0ms

beta

18.0ms

(/.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 1195 to 767 computations (35.8% saved)

regimes63.0ms (0.3%)

Counts

46 → 1

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	alpha
24.0ms	beta

Results

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

Compiler

Compiled 640 to 411 computations (35.8% saved)

regimes112.0ms (0.5%)

Counts

45 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

50.0ms	beta
47.0ms	alpha

Results

Error	Segments	Branch
0.5b	2	`alpha`
0.2b	2	`beta`

Compiler

Compiled 615 to 394 computations (35.9% saved)

bsearch7.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
6.0ms	6.294586569949621e+115	1.0460968275228946e+116

Results

4.0ms

32×

body

256

valid

Compiler

Compiled 138 to 98 computations (29% saved)

regimes104.0ms (0.5%)

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

48.0ms	alpha
41.0ms	beta

Results

Error	Segments	Branch
0.6b	2	`alpha`
0.3b	2	`beta`

Compiler

Compiled 565 to 361 computations (36.1% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	599417019631905.4	8660781788037179.0

Results

16.0ms

96×

body

256

valid

Compiler

Compiled 330 to 238 computations (27.9% saved)

regimes93.0ms (0.4%)

Counts

41 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

41.0ms	beta
41.0ms	alpha

Results

Error	Segments	Branch
1.0b	2	`alpha`
0.4b	2	`beta`

Compiler

Compiled 515 to 327 computations (36.5% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	430046.25582529255	420012998.5826548

Results

11.0ms

64×

body

256

valid

Compiler

Compiled 226 to 156 computations (31% saved)

regimes91.0ms (0.4%)

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

39.0ms	alpha
39.0ms	beta

Results

Error	Segments	Branch
1.0b	2	`alpha`
0.5b	2	`beta`

Compiler

Compiled 492 to 314 computations (36.2% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	430046.25582529255	420012998.5826548

Results

15.0ms

96×

body

256

valid

Compiler

Compiled 294 to 220 computations (25.2% saved)

regimes42.0ms (0.2%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	beta
15.0ms	alpha

Results

Error	Segments	Branch
23.3b	1	`alpha`
23.3b	1	`beta`

Compiler

Compiled 288 to 178 computations (38.2% saved)

regimes41.0ms (0.2%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	alpha
15.0ms	beta

Results

Error	Segments	Branch
23.5b	1	`alpha`
23.5b	1	`beta`

Compiler

Compiled 271 to 166 computations (38.7% saved)

regimes59.0ms (0.3%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	beta
25.0ms	alpha

Results

Error	Segments	Branch
23.7b	2	`alpha`
23.5b	2	`beta`

Compiler

Compiled 226 to 137 computations (39.4% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	102170253240254.3	599417019631905.4

Results

15.0ms

96×

body

256

valid

Compiler

Compiled 210 to 154 computations (26.7% saved)

regimes58.0ms (0.3%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	beta
19.0ms	alpha

Results

Error	Segments	Branch
23.7b	2	`alpha`
23.5b	2	`beta`

Compiler

Compiled 111 to 65 computations (41.4% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	102170253240254.3	599417019631905.4

Results

18.0ms

96×

body

256

valid

Compiler

Compiled 186 to 136 computations (26.9% saved)

regimes30.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

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

Outputs
1/9
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)

Calls

2 calls:

17.0ms	beta
10.0ms	alpha

Results

Error	Segments	Branch
29.0b	1	`alpha`
23.9b	2	`beta`

Compiler

Compiled 100 to 57 computations (43% saved)

bsearch67.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
66.0ms	0.00011533328452489376	116195.87158695323

Results

65.0ms

144×

body

256

valid

Compiler

Compiled 168 to 127 computations (24.4% saved)

regimes43.0ms (0.2%)

Counts

13 → 3

Calls

Call 1

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

Outputs
1/9
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))

Calls

2 calls:

23.0ms	beta
17.0ms	alpha

Results

Error	Segments	Branch
29.3b	2	`alpha`
24.2b	3	`beta`

Compiler

Compiled 75 to 41 computations (45.3% saved)

bsearch36.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	6.170221801325284e+151	4.565574048492444e+154
26.0ms	0.00011533328452489376	116195.87158695323

Results

33.0ms

192×

body

256

valid

Compiler

Compiled 228 to 169 computations (25.9% saved)

regimes56.0ms (0.3%)

Counts

11 → 3

Calls

Call 1

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

Outputs
1/9
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))

Calls

2 calls:

32.0ms	alpha
21.0ms	beta

Results

Error	Segments	Branch
29.5b	2	`alpha`
26.8b	3	`beta`

Compiler

Compiled 61 to 35 computations (42.6% saved)

bsearch46.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	4.8862046743034853e+157	1.18639708390829e+162
23.0ms	0.00011533328452489376	116195.87158695323

Results

39.0ms

272×

body

256

valid

Compiler

Compiled 328 to 256 computations (22% saved)

regimes26.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

Outputs
1/9
(*.f64 (/.f64 1 beta) (/.f64 1 beta))

Calls

2 calls:

12.0ms	beta
12.0ms	alpha

Results

Error	Segments	Branch
31.1b	2	`alpha`
28.4b	2	`beta`

Compiler

Compiled 47 to 26 computations (44.7% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	0.00011533328452489376	116195.87158695323

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 168 to 136 computations (19% saved)

regimes53.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

Outputs
1/9
(/.f64 1 (*.f64 beta beta))

Calls

2 calls:

36.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
31.4b	2	`alpha`
28.7b	2	`beta`

Compiler

Compiled 40 to 21 computations (47.5% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	0.00011533328452489376	116195.87158695323

Results

19.0ms

144×

body

256

valid

Compiler

Compiled 150 to 118 computations (21.3% saved)

regimes42.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

Outputs
1/9
(/.f64 1/2 beta)

Calls

2 calls:

37.0ms	beta
4.0ms	alpha

Results

Error	Segments	Branch
56.6b	1	`alpha`
55.5b	2	`beta`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch26.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	0.00011533328452489376	116195.87158695323

Results

24.0ms

144×

body

256

valid

Compiler

Compiled 132 to 109 computations (17.4% saved)

regimes10.0ms (0%)

Accuracy

Total -6.0b remaining (-10.5%)

Threshold costs -6.0b (-10.5%)

Counts

2 → 1

Calls

Call 1

Inputs
1/9
(/.f64 1/2 alpha)

Outputs
1/9

Calls

2 calls:

6.0ms	alpha
3.0ms	beta

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

46×	`+-commutative`
28×	`*-commutative`
16×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1081
1	153	1081
2	166	1081
3	174	1081
4	177	1081

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 2 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 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000) (/.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 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 8000000000000000) (.f64 (/.f64 (+.f64 1 alpha) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 100000000) (/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 100000000) (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.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 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 -1 (+.f64 beta 3)) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 580000000000000) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 580000000000000) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 3602879701896397/1125899906842624) 1/9 (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 3) 1/9 (if (<=.f64 beta 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 3) 1/9 (if (<=.f64 beta 239999999999999989079823657552405448116570492400605187848379698432607679231488508918761144960670328378367807030524334205342278337938553146756526450457377528348672) (.f64 (/.f64 1 beta) (/.f64 1 beta)) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 3) 1/9 (*.f64 (/.f64 1 beta) (/.f64 1 beta)))
(if (<=.f64 beta 3) 1/9 (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 9/2) 1/9 (/.f64 1/2 beta))
1/9

Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 2 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 2))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000) (/.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 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000) (/.f64 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 8000000000000000) (.f64 (/.f64 (+.f64 1 alpha) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 8000000000000000) (.f64 (/.f64 (+.f64 alpha 1) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 100000000) (/.f64 (+.f64 alpha (+.f64 beta 1)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 100000000) (/.f64 (+.f64 alpha (+.f64 1 beta)) (.f64 (+.f64 2 (+.f64 alpha beta)) (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 100000000) (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 100000000) (.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 -1 (+.f64 beta 3)) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 580000000000000) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 580000000000000) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 580000000000000) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 3602879701896397/1125899906842624) 1/9 (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 3602879701896397/1125899906842624) 1/9 (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 3) 1/9 (if (<=.f64 beta 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 3) 1/9 (if (<=.f64 beta 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (/.f64 (+.f64 alpha 1) (.f64 beta beta)) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 3) 1/9 (if (<=.f64 beta 239999999999999989079823657552405448116570492400605187848379698432607679231488508918761144960670328378367807030524334205342278337938553146756526450457377528348672) (.f64 (/.f64 1 beta) (/.f64 1 beta)) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 3) 1/9 (*.f64 (/.f64 1 beta) (/.f64 1 beta)))
(if (<=.f64 beta 3) 1/9 (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 9/2) 1/9 (/.f64 1/2 beta))
1/9

Compiler

Compiled 429 to 308 computations (28.2% saved)

soundness839.0ms (3.8%)

Algorithm

2×	egg-herbie

Rules

8048×	`associate-+r+`
2246×	`associate-/l*`
1528×	`associate-r`
1422×	`associate-l`
1400×	`+-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
0	961	25429
1	3441	25237

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 189 to 119 computations (37% saved)

end263.0ms (1.2%)

Compiler: Compiled 451 to 310 computations (31.3% saved)