Details

analyze54.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.3s (6.4%)

Results

1.3s

8256×

body

256

valid

Bogosity

preprocess384.0ms (1.9%)

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)

simplify681.0ms (3.4%)

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)

prune6.0ms (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
▶	4.1b	(/.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))
▶	5.5b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
▶	5.5b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	11.7b	(/.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 296 to 196 computations (33.8% saved)

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 97 to 65 computations (33% saved)

series23.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite116.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

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

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

simplify182.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	961	25429
1	3441	25237

Stop Event

1×	node limit

Counts

265 → 510

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.0b	(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
✓	3.4b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	3.8b	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 85 to 53 computations (37.6% saved)

series12.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite163.0ms (0.8%)

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

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

simplify261.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1354×	`+-commutative`
1292×	`associate-r`
1140×	`associate-l`
1022×	`*-commutative`
968×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	951	22563
1	3214	21831

Stop Event

1×	node limit

Counts

313 → 482

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1))
✓	0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
✓	3.4b	(/.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))))
✓	3.8b	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))

Compiler

Compiled 93 to 46 computations (50.5% saved)

series15.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite190.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 218

Calls

Call 1

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

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

simplify247.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1001	24968
1	3393	24786

Stop Event

1×	node limit

Counts

314 → 517

Calls

Call 1

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

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)
✓	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))
✓	3.8b	(/.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)

series9.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite172.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	196
1	368	160
2	5911	160

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

Inputs
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 (+.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
((#(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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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 alpha (+.f64 beta 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 alpha (+.f64 beta 1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 alpha)) (-.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 beta)) (-.f64 1 (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (-.f64 (/.f64 (.f64 beta beta) (-.f64 alpha beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 alpha (+.f64 beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta -2))) (-.f64 (/.f64 4 (+.f64 alpha (+.f64 beta -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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2)) 2) -1)) (neg.f64 (+.f64 alpha (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (-.f64 (+.f64 alpha beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (-.f64 -1 (+.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) 27) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (.f64 (+.f64 alpha beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 alpha (+.f64 beta 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) 3)))))

simplify209.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1458×	`+-commutative`
1334×	`associate-r`
1294×	`associate-l`
1108×	`associate-+r+`
860×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	952	25474
1	3272	25186

Stop Event

1×	node limit

Counts

260 → 488

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(.f64 -1 (-.f64 (.f64 -1 beta) 1))
(+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)))
(+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
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(.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) (pow.f64 beta 2)))
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(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
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(/.f64 (+.f64 beta 1) alpha)
(-.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)))
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(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))
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(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
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(/.f64 (+.f64 1 alpha) beta)
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(.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) beta))
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(+.f64 beta 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 3 alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(-.f64 (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)
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(*.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)))))
(*.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 (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)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))
(*.f64 (-.f64 -1 (fma.f64 alpha beta (+.f64 alpha beta))) (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))
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(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 3)) 0)
(-.f64 (+.f64 alpha (+.f64 beta 1)) -2)
(-.f64 (exp.f64 (log1p.f64 alpha)) (-.f64 1 (+.f64 beta 3)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 3)))) 1)
(-.f64 (exp.f64 (log1p.f64 beta)) (-.f64 1 (+.f64 alpha 3)))
(-.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (-.f64 (/.f64 (.f64 beta beta) (-.f64 alpha beta)) 3))
(-.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 alpha (+.f64 beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 1))))
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta -2))) (-.f64 (/.f64 4 (+.f64 alpha (+.f64 beta -2))) 1))
(-.f64 (+.f64 4 (+.f64 alpha beta)) 1)
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta -2)))) (/.f64 4 (+.f64 alpha (+.f64 beta -2))))
(-.f64 (+.f64 3 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta))) (/.f64 (.f64 beta beta) (-.f64 alpha beta)))
(*.f64 1 (+.f64 alpha (+.f64 beta 3)))
(*.f64 (+.f64 alpha (+.f64 beta 3)) 1)
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1) (/.f64 1 (+.f64 alpha (+.f64 beta 1))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta)))))
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta))) (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1) (+.f64 alpha (+.f64 beta 1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1)) (neg.f64 (+.f64 alpha (+.f64 beta 1))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta)))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (-.f64 (+.f64 alpha beta) 3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (-.f64 -1 (+.f64 alpha beta)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) 27) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (*.f64 (+.f64 alpha beta) 3)))
(pow.f64 (+.f64 alpha (+.f64 beta 3)) 1)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 3)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta 3)))))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 3))))
(exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta 3))))
(fma.f64 1 (+.f64 alpha beta) 3)
(fma.f64 1 (+.f64 beta (+.f64 alpha 2)) 1)
(fma.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) 3)

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

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 alpha (+.f64 beta 3))
	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))))
✓	11.6b	(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))

Compiler

Compiled 95 to 58 computations (38.9% saved)

series6.0ms (0%)

Counts

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

rewrite122.0ms (0.6%)

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	113
1	429	113
2	6687	113

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 alpha (+.f64 beta 3))

Outputs

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

simplify149.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1342×	`distribute-lft-in`
1216×	`distribute-rgt-in`
952×	`associate-l`
906×	`associate-r`
792×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	584	16763
1	2032	16203

Stop Event

1×	node limit

Counts

193 → 317

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

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

eval2.8s (13.6%)

Compiler: Compiled 124765 to 87049 computations (30.2% saved)

prune1.0s (5.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	2401	21	2422
Fresh	0	0	0
Picked	1	0	1
Done	3	1	4
Total	2405	22	2427

Error

Counts

2427 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.6b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (.f64 beta alpha)) (/.f64 (.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	5.2b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	5.1b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	62.7b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
	19.6b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	0.8b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
	23.4b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1)))) (+.f64 alpha (+.f64 beta 3)))
	22.0b	(/.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)))
	0.6b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (/.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (+.f64 beta 1))))) (+.f64 alpha (+.f64 beta 3)))
	24.4b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	62.9b	(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
	19.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	24.9b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
✓	5.5b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	36.2b	(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 beta beta)))
	10.9b	(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
	62.5b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	23.7b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	27.9b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
▶	0.1b	(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3)))
	3.0b	(.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
	0.2b	(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 885 to 621 computations (29.8% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 91 to 53 computations (41.8% saved)

series16.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`+-commutative`
452×	`add-sqr-sqrt`
442×	`pow1`
442×	`*-un-lft-identity`
424×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	178
1	428	154
2	6866	154

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

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

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

simplify272.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1588×	`associate-r`
1440×	`associate-l`
1360×	`+-commutative`
1144×	`associate-+r+`
874×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	952	25414
1	3304	25048

Stop Event

1×	node limit

Counts

266 → 460

Calls

Call 1

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.4b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (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))))))))

simplify62.0ms (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))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 beta 1) alpha)
	0.0b	(+.f64 alpha (+.f64 beta 3))
✓	14.2b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`associate-/r/`
1302×	`distribute-lft-in`
1238×	`associate-/l/`
270×	`add-sqr-sqrt`
264×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	257	44
2	3846	44

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs

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

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

simplify123.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1140×	`+-commutative`
982×	`associate-+r+`
622×	`associate-r`
620×	`associate-l`
616×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	7879
1	1467	7331
2	7071	7323

Stop Event

1×	node limit

Counts

161 → 252

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

0.0b

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

✓

0.4b

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

Compiler

Compiled 58 to 39 computations (32.8% saved)

series11.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

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

simplify197.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

134 → 220

Calls

Call 1

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

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

localize100.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 alpha (*.f64 beta alpha))
✓	3.4b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (.f64 beta alpha)) (/.f64 (.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	3.8b	(/.f64 (-.f64 (+.f64 (+.f64 alpha (.f64 beta alpha)) (/.f64 (.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3))
✓	19.2b	(/.f64 (*.f64 beta beta) (+.f64 beta -1))

Compiler

Compiled 155 to 78 computations (49.7% saved)

series12.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite110.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`add-sqr-sqrt`
586×	`pow1`
586×	`*-un-lft-identity`
560×	`add-cbrt-cube`
560×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	202
1	570	142

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

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

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

simplify208.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1290×	`distribute-lft-in`
1014×	`*-commutative`
980×	`+-commutative`
828×	`associate-/l*`
804×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	810	20944
1	2768	20460

Stop Event

1×	node limit

Counts

220 → 392

Calls

Call 1

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

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

eval1.4s (7%)

Compiler: Compiled 69377 to 49256 computations (29% saved)

prune748.0ms (3.7%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	1535	21	1556
Fresh	6	10	16
Picked	1	0	1
Done	3	2	5
Total	1545	33	1578

Error

Counts

1578 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	28.8b	(pow.f64 beta -2)
	4.3b	(/.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha))) (-.f64 (-.f64 -2 alpha) beta)) 2) (+.f64 alpha (+.f64 beta 3)))
	22.4b	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 beta beta) (+.f64 -1 beta)) (/.f64 1 (+.f64 -1 beta))) (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	62.2b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 alpha alpha))
▶	5.1b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	62.9b	(/.f64 (/.f64 (+.f64 beta 1) alpha) alpha)
	19.6b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
▶	0.8b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
	23.4b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1)))) (+.f64 alpha (+.f64 beta 3)))
	22.0b	(/.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)))
	24.4b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	19.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	24.9b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
✓	5.5b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	62.0b	(/.f64 (/.f64 beta alpha) (+.f64 alpha (+.f64 beta 3)))
	62.0b	(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
	28.5b	(/.f64 (-.f64 1 (/.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	21.9b	(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	60.2b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 alpha alpha)))
	62.5b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	23.7b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓	27.9b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	37.5b	(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3)))
	19.5b	(/.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3)))
	44.2b	(/.f64 alpha (*.f64 beta beta))
	25.4b	(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	62.0b	(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
	29.2b	(/.f64 1 (*.f64 beta beta))
▶	62.4b	(/.f64 1 alpha)
▶	20.1b	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	27.9b	(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
	25.0b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	4.9b	(neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))

Compiler

Compiled 1026 to 731 computations (28.8% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 89 to 61 computations (31.5% saved)

series21.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite114.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

438×	`+-commutative`
438×	`add-sqr-sqrt`
428×	`pow1`
428×	`*-un-lft-identity`
410×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	153
1	415	153
2	6597	153

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify207.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1148×	`associate-/l*`
1116×	`+-commutative`
1040×	`associate-r`
1028×	`*-commutative`
916×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	825	22326
1	2957	22216

Stop Event

1×	node limit

Counts

206 → 367

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1962×	`add-sqr-sqrt`
1946×	`*-un-lft-identity`
1822×	`add-cube-cbrt`
1800×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	2429	19

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1224×	`associate-*r/`
756×	`associate-*l/`
688×	`associate-/l*`
564×	`associate-+r+`
456×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1934
1	299	1908
2	1055	1272
3	5185	1272

Stop Event

1×	node limit

Counts

62 → 54

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.3b	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 38 to 25 computations (34.2% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

Outputs

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

simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

87 → 169

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

0.0b

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

✓

0.4b

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

Compiler

Compiled 63 to 38 computations (39.7% saved)

series9.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`distribute-lft-neg-in`
450×	`associate-+l+`
414×	`+-commutative`
384×	`add-sqr-sqrt`
374×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	365	74
2	5799	74

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

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

simplify117.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

862×	`distribute-lft-in`
802×	`distribute-rgt-in`
800×	`associate-r`
722×	`*-commutative`
692×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	503	10976
1	1731	10616

Stop Event

1×	node limit

Counts

130 → 227

Calls

Call 1

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

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

eval1.3s (6.5%)

Compiler: Compiled 47256 to 34293 computations (27.4% saved)

prune405.0ms (2%)

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	1194	14	1208
Fresh	10	16	26
Picked	1	0	1
Done	3	3	6
Total	1208	33	1241

Error

Counts

1241 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	28.8b	(pow.f64 beta -2)
▶	4.3b	(/.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha))) (-.f64 (-.f64 -2 alpha) beta)) 2) (+.f64 alpha (+.f64 beta 3)))
	22.4b	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 beta beta) (+.f64 -1 beta)) (/.f64 1 (+.f64 -1 beta))) (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	5.1b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	38.4b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
▶	19.6b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	19.7b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
	37.7b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	23.4b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1)))) (+.f64 alpha (+.f64 beta 3)))
▶	24.4b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	19.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	24.9b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
✓	5.5b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	62.8b	(/.f64 (/.f64 beta alpha) alpha)
	28.9b	(/.f64 (/.f64 1 beta) beta)
	62.0b	(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
	62.2b	(/.f64 (/.f64 1/3 alpha) alpha)
	10.9b	(/.f64 (+.f64 beta 1) (.f64 (-.f64 beta -2) (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 alpha beta)))))
✓	27.9b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	19.5b	(/.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3)))
	62.6b	(/.f64 beta (*.f64 alpha alpha))
	44.2b	(/.f64 alpha (*.f64 beta beta))
	25.0b	(/.f64 1 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	62.0b	(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
	29.2b	(/.f64 1 (*.f64 beta beta))
✓	62.4b	(/.f64 1 alpha)
	38.5b	(/.f64 1/2 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)))
	38.4b	(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
	42.9b	(/.f64 1/3 (*.f64 beta beta))
▶	62.2b	(/.f64 1/3 (*.f64 alpha alpha))
	27.9b	(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
	25.0b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	4.9b	(neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))

Compiler

Compiled 887 to 639 computations (28% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha))) (-.f64 (-.f64 -2 alpha) beta)) 2) (+.f64 alpha (+.f64 beta 3)))
✓	0.2b	(/.f64 (sqrt.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha))) (-.f64 (-.f64 -2 alpha) beta))
✓	0.3b	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha))) (-.f64 (-.f64 -2 alpha) beta)) 2)
✓	3.8b	(sqrt.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha)))

Compiler

Compiled 97 to 69 computations (28.9% saved)

series69.0ms (0.3%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
35.0ms	beta	@	-inf	(/.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha))) (-.f64 (-.f64 -2 alpha) beta)) 2) (+.f64 alpha (+.f64 beta 3)))
8.0ms	alpha	@	-inf	(sqrt.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha)))
3.0ms	beta	@	-inf	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha))) (-.f64 (-.f64 -2 alpha) beta)) 2)
3.0ms	alpha	@	inf	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha))) (-.f64 (-.f64 -2 alpha) beta)) 2)
3.0ms	alpha	@	-inf	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha))) (-.f64 (-.f64 -2 alpha) beta)) 2)

rewrite154.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`+-commutative`
486×	`add-sqr-sqrt`
470×	`*-un-lft-identity`
468×	`pow1`
452×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	176
1	471	168
2	6664	168

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

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

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

simplify159.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1670×	`associate-r`
1466×	`associate-l`
1058×	`*-commutative`
1042×	`associate-/l*`
820×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	733	21832
1	2450	21628

Stop Event

1×	node limit

Counts

186 → 326

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1/3 (*.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 1/3 (*.f64 alpha alpha))
0.0ms	alpha	@	inf	(/.f64 1/3 (*.f64 alpha alpha))
0.0ms	alpha	@	-inf	(/.f64 1/3 (*.f64 alpha alpha))

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`add-sqr-sqrt`
1190×	`*-un-lft-identity`
1120×	`add-cube-cbrt`
1112×	`add-cbrt-cube`
1102×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	129	13
2	1588	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1834×	`associate-/r*`
1508×	`distribute-lft-in`
998×	`associate-+r+`
986×	`associate-+l+`
906×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	485
1	135	485
2	447	485
3	2832	485

Stop Event

1×	node limit

Counts

33 → 26

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 beta alpha) alpha)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`add-sqr-sqrt`
1474×	`*-un-lft-identity`
1376×	`add-cube-cbrt`
1356×	`add-cbrt-cube`
1344×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	129	13
2	1826	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1654×	`associate-+r+`
1534×	`associate-+l+`
1132×	`associate-*r/`
702×	`associate-/l*`
686×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	104	913
1	279	895
2	1030	895
3	4717	895

Stop Event

1×	node limit

Counts

61 → 44

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

series14.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	alpha	@	-inf	(/.f64 (+.f64 alpha 1) beta)
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs

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

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

simplify497.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

173 → 241

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series9.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite136.0ms (0.7%)

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

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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)))))))))

simplify284.0ms (1.4%)

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)))

eval966.0ms (4.8%)

Compiler: Compiled 46289 to 34430 computations (25.6% saved)

prune304.0ms (1.5%)

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	1189	11	1200
Fresh	5	20	25
Picked	0	1	1
Done	3	4	7
Total	1197	36	1233

Error

Counts

1233 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	28.8b	(pow.f64 beta -2)
	22.4b	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 beta beta) (+.f64 -1 beta)) (/.f64 1 (+.f64 -1 beta))) (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	5.1b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	38.4b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
✓	19.6b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	24.4b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) beta)
	19.7b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
	37.7b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	23.4b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1)))) (+.f64 alpha (+.f64 beta 3)))
	24.5b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (pow.f64 (sqrt.f64 (+.f64 3 (+.f64 beta alpha))) 2))
	24.9b	(/.f64 (/.f64 (+.f64 alpha 1) beta) beta)
	19.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓	5.5b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	62.8b	(/.f64 (/.f64 beta alpha) alpha)
	40.8b	(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
	23.8b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
	28.4b	(/.f64 (/.f64 1 beta) (+.f64 beta 3))
	28.9b	(/.f64 (/.f64 1 beta) beta)
	62.2b	(/.f64 (/.f64 1/3 alpha) alpha)
	10.9b	(/.f64 (+.f64 beta 1) (.f64 (-.f64 beta -2) (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 alpha beta)))))
✓	27.9b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	19.6b	(/.f64 (.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
	19.5b	(/.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3)))
	62.6b	(/.f64 beta (*.f64 alpha alpha))
	44.2b	(/.f64 alpha (*.f64 beta beta))
	28.7b	(/.f64 1 (*.f64 beta (+.f64 beta 3)))
	29.2b	(/.f64 1 (*.f64 beta beta))
	60.3b	(/.f64 1 beta)
	38.5b	(/.f64 1/2 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)))
	56.7b	(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
	38.4b	(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
	62.4b	(/.f64 1/2 alpha)
✓	62.2b	(/.f64 1/3 (*.f64 alpha alpha))
	27.9b	(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
	25.0b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	4.9b	(neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))

Compiler

Compiled 495 to 358 computations (27.7% saved)

regimes152.0ms (0.8%)

Counts

72 → 1

Calls

Call 1

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

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

Calls

3 calls:

55.0ms

alpha

51.0ms

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 1078 to 695 computations (35.5% saved)

regimes119.0ms (0.6%)

Counts

54 → 1

Calls

Call 1

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

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

Calls

2 calls:

78.0ms	alpha
27.0ms	beta

Results

Error	Segments	Branch
0.8b	1	`alpha`
0.8b	1	`beta`

Compiler

Compiled 610 to 393 computations (35.6% saved)

regimes184.0ms (0.9%)

Counts

53 → 2

Calls

Call 1

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

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

Calls

2 calls:

102.0ms	alpha
67.0ms	beta

Results

Error	Segments	Branch
0.9b	2	`alpha`
0.7b	2	`beta`

Compiler

Compiled 587 to 377 computations (35.8% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	1205481460227.9734	25483501799135.2

Results

19.0ms

112×

body

256

valid

Compiler

Compiled 308 to 231 computations (25% saved)

regimes90.0ms (0.4%)

Counts

44 → 2

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	beta
40.0ms	alpha

Results

Error	Segments	Branch
1.3b	2	`alpha`
0.8b	2	`beta`

Compiler

Compiled 410 to 258 computations (37.1% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	1205481460227.9734	25483501799135.2

Results

16.0ms

112×

body

256

valid

Compiler

Compiled 294 to 217 computations (26.2% saved)

regimes91.0ms (0.4%)

Counts

41 → 2

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

41.0ms	beta
39.0ms	alpha

Results

Error	Segments	Branch
11.4b	2	`alpha`
1.2b	2	`beta`

Compiler

Compiled 361 to 223 computations (38.2% saved)

bsearch27.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	1.1774788664059502e-5	772.4413691135774

Results

25.0ms

144×

body

256

valid

Compiler

Compiled 366 to 271 computations (26% saved)

regimes79.0ms (0.4%)

Counts

39 → 2

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) beta)

Calls

2 calls:

36.0ms	alpha
36.0ms	beta

Results

Error	Segments	Branch
11.8b	2	`alpha`
1.8b	2	`beta`

Compiler

Compiled 331 to 202 computations (39% saved)

bsearch28.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	1.1774788664059502e-5	772.4413691135774

Results

25.0ms

144×

body

256

valid

Compiler

Compiled 348 to 262 computations (24.7% saved)

regimes78.0ms (0.4%)

Counts

38 → 2

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	beta
31.0ms	alpha

Results

Error	Segments	Branch
11.8b	2	`alpha`
2.0b	2	`beta`

Compiler

Compiled 316 to 191 computations (39.6% saved)

bsearch28.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
28.0ms	1.1774788664059502e-5	772.4413691135774

Results

26.0ms

144×

body

256

valid

Compiler

Compiled 294 to 226 computations (23.1% saved)

regimes71.0ms (0.4%)

Counts

36 → 2

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	beta
32.0ms	alpha

Results

Error	Segments	Branch
11.8b	2	`alpha`
2.0b	2	`beta`

Compiler

Compiled 288 to 173 computations (39.9% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	1.1774788664059502e-5	772.4413691135774

Results

19.0ms

144×

body

256

valid

Compiler

Compiled 276 to 208 computations (24.6% saved)

regimes146.0ms (0.7%)

Counts

29 → 2

Calls

Call 1

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

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

Calls

2 calls:

114.0ms	alpha
26.0ms	beta

Results

Error	Segments	Branch
14.2b	9	`alpha`
2.0b	2	`beta`

Compiler

Compiled 203 to 116 computations (42.9% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	1.1774788664059502e-5	772.4413691135774

Results

19.0ms

144×

body

256

valid

Compiler

Compiled 240 to 181 computations (24.6% saved)

regimes37.0ms (0.2%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	beta
11.0ms	alpha

Results

Error	Segments	Branch
24.9b	1	`alpha`
20.9b	2	`beta`

Compiler

Compiled 143 to 83 computations (42% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	1.1774788664059502e-5	772.4413691135774

Results

19.0ms

144×

body

256

valid

Compiler

Compiled 222 to 163 computations (26.6% saved)

regimes33.0ms (0.2%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	beta
11.0ms	alpha

Results

Error	Segments	Branch
27.9b	1	`alpha`
23.8b	2	`beta`

Compiler

Compiled 106 to 61 computations (42.5% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	1.1774788664059502e-5	772.4413691135774

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 222 to 163 computations (26.6% saved)

regimes30.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	beta
13.0ms	alpha

Results

Error	Segments	Branch
27.7b	2	`alpha`
24.9b	2	`beta`

Compiler

Compiled 78 to 45 computations (42.3% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	1.1774788664059502e-5	772.4413691135774

Results

22.0ms

144×

body

256

valid

Compiler

Compiled 204 to 154 computations (24.5% saved)

regimes25.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	alpha
6.0ms	beta

Results

Error	Segments	Branch
27.9b	2	`alpha`
28.9b	1	`beta`

Compiler

Compiled 57 to 30 computations (47.4% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	7.228795034669096e-16	1.671455058817908e-15

Results

11.0ms

80×

body

256

valid

Compiler

Compiled 122 to 83 computations (32% saved)

regimes59.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

47.0ms	beta
10.0ms	alpha

Results

Error	Segments	Branch
28.2b	2	`alpha`
29.2b	1	`beta`

Compiler

Compiled 47 to 25 computations (46.8% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	7.228795034669096e-16	1.671455058817908e-15

Results

14.0ms

80×

body

256

valid

Compiler

Compiled 122 to 83 computations (32% saved)

regimes10.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	beta
4.0ms	alpha

Results

Error	Segments	Branch
29.2b	1	`alpha`
29.2b	1	`beta`

Compiler

Compiled 32 to 20 computations (37.5% saved)

regimes28.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	alpha
4.0ms	beta

Results

Error	Segments	Branch
42.9b	1	`alpha`
42.9b	1	`beta`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes8.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 1 beta)

Calls

2 calls:

4.0ms	beta
4.0ms	alpha

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes7.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 1/2 alpha)

Calls

2 calls:

3.0ms	alpha
3.0ms	beta

Results

Error	Segments	Branch
62.4b	1	`alpha`
62.4b	1	`beta`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

36×	`+-commutative`
16×	`*-commutative`
12×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	954
1	123	954
2	134	954
3	142	954
4	145	954

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 1220000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1220000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5404319552844595/1125899906842624) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) beta))
(if (<=.f64 beta 6980579422424269/2251799813685248) (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) beta))
(if (<=.f64 beta 9/2) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4728779608739021/1125899906842624) (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 9/2) (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 alpha 237684487542793/158456325028528675187087900672) (/.f64 (/.f64 1 beta) beta) (/.f64 alpha (*.f64 beta beta)))
(if (<=.f64 alpha 4183246980753157/2535301200456458802993406410752) (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 beta beta))
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 beta)
(/.f64 1/2 alpha)

Outputs
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 1220000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1220000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1220000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1220000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 alpha 2) 4)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5404319552844595/1125899906842624) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) beta))
(if (<=.f64 beta 5404319552844595/1125899906842624) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (.f64 alpha 2) 4)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 alpha 2))) beta))
(if (<=.f64 beta 6980579422424269/2251799813685248) (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) beta))
(if (<=.f64 beta 6980579422424269/2251799813685248) (/.f64 1/2 (.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 alpha 2))) beta))
(if (<=.f64 beta 9/2) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 9/2) (/.f64 1/2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4) (/.f64 1/2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 4728779608739021/1125899906842624) (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 4728779608739021/1125899906842624) (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) (*.f64 beta beta)))
(if (<=.f64 beta 9/2) (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 alpha 237684487542793/158456325028528675187087900672) (/.f64 (/.f64 1 beta) beta) (/.f64 alpha (*.f64 beta beta)))
(if (<=.f64 alpha 4183246980753157/2535301200456458802993406410752) (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 beta beta))
(/.f64 1/3 (*.f64 beta beta))
(/.f64 1 beta)
(/.f64 1/2 alpha)

Compiler

Compiled 386 to 275 computations (28.8% saved)

soundness801.0ms (4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 37 to 24 computations (35.1% saved)

end227.0ms (1.1%)

Remove: (sort alpha beta)
Compiler: Compiled 406 to 272 computations (33% saved)