Details

analyze51.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.7s (7.6%)

Results

1.7s

8256×

body

256

valid

Bogosity

preprocess343.0ms (1.5%)

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)

simplify621.0ms (2.8%)

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)

prune7.0ms (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
▶	3.1b	(/.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))
▶	3.5b	(/.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)))
▶	3.5b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	8.6b	(/.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 296 to 196 computations (33.8% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 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	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	@	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	@	0	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
2.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
2.0ms	beta	@	-inf	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))

rewrite133.0ms (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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((#(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))))))))

simplify181.0ms (0.8%)

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 beta 1) (+.f64 alpha 1))
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	1.4b	(/.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))))
✓	2.9b	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 85 to 53 computations (37.6% saved)

series10.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite189.0ms (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 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 1) (+.f64 alpha 1))

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

simplify196.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	951	22563
1	3214	21831

Stop Event

1×	node limit

Counts

313 → 487

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
✓	1.4b	(/.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))))
✓	2.9b	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))

New

Error

Program

✓

0.0b

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

✓

1.4b

(/.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))))

✓

2.9b

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

Compiler

Compiled 93 to 46 computations (50.5% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

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

rewrite116.0ms (0.5%)

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	145
1	420	133
2	6857	133

Stop Event

1×	node limit

Counts

3 → 168

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)))

Outputs

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

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

simplify612.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1200×	`+-commutative`
1018×	`associate-r`
974×	`*-commutative`
890×	`associate-+r+`
880×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	828	21216
1	2881	21036

Stop Event

1×	node limit

Counts

240 → 409

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

localize48.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

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))

✓

2.9b

(/.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)

series11.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite113.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	183
1	368	147
2	5911	147

Stop Event

1×	node limit

Counts

3 → 119

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)))

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

simplify209.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1358×	`+-commutative`
1234×	`associate-r`
1150×	`associate-l`
1068×	`associate-+r+`
1054×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	857	23779
1	3031	23507

Stop Event

1×	node limit

Counts

191 → 400

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

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

localize38.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.0b

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

✓

0.0b

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

✓

8.5b

(/.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)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite99.0ms (0.4%)

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	100
1	429	100
2	6687	100

Stop Event

1×	node limit

Counts

2 → 84

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))))

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

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

simplify117.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1202×	`distribute-lft-in`
1110×	`distribute-rgt-in`
724×	`+-commutative`
706×	`associate-r`
692×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	507	15326
1	1831	14730

Stop Event

1×	node limit

Counts

132 → 247

Calls

Call 1

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

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

eval2.3s (10.2%)

Compiler: Compiled 114796 to 81462 computations (29% saved)

prune849.0ms (3.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	2139	21	2160
Fresh	0	0	0
Picked	1	0	1
Done	4	0	4
Total	2144	21	2165

Error

Counts

2165 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	3.5b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	15.1b	(/.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 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	3.8b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	62.6b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
	49.3b	(/.f64 (/.f64 (+.f64 alpha (.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
▶	27.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	14.9b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	32.9b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	15.1b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	14.9b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	0.1b	(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 1 alpha)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (+.f64 alpha (+.f64 beta 3)))
▶	3.5b	(/.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 alpha beta) 3) (.f64 (+.f64 1 alpha) (+.f64 1 beta)))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	8.4b	(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
	61.6b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	29.1b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	34.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	1.4b	(.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
	0.2b	(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
	0.6b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 922 to 650 computations (29.5% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 114 to 74 computations (35.1% saved)

series15.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	172
1	548	172

Stop Event

1×	node limit

Counts

4 → 149

Calls

Call 1

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

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

simplify199.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1346×	`+-commutative`
1202×	`associate-r`
1096×	`associate-l`
1090×	`associate-+r+`
1080×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	920	27043
1	3283	26593

Stop Event

1×	node limit

Counts

245 → 438

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.5b	(/.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))

rewrite84.0ms (0.4%)

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))))))))

simplify56.0ms (0.2%)

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))

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 56 to 39 computations (30.4% saved)

series10.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite100.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 182

Calls

Call 1

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

Outputs

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

simplify229.0ms (1%)

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

localize21.0ms (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)))

✓

0.1b

(/.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)

series10.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite99.0ms (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

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

simplify184.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

134 → 220

Calls

Call 1

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

localize95.0ms (0.4%)

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 1 (/.f64 (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 1 alpha) (+.f64 1 beta))))
✓	1.4b	(/.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 alpha beta) 3) (.f64 (+.f64 1 alpha) (+.f64 1 beta)))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	2.9b	(/.f64 (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))

Compiler

Compiled 102 to 65 computations (36.3% saved)

series8.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite114.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify225.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	853	21911
1	3013	21265

Stop Event

1×	node limit

Counts

209 → 420

Calls

Call 1

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

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

eval1.8s (8.1%)

Compiler: Compiled 81879 to 60154 computations (26.5% saved)

prune589.0ms (2.6%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1744	16	1760
Fresh	7	9	16
Picked	1	0	1
Done	1	3	4
Total	1753	28	1781

Error

Counts

1781 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	36.0b	(pow.f64 beta -2)
	0.1b	(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (+.f64 alpha (+.f64 beta 3)))
	15.1b	(/.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 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	3.8b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	49.3b	(/.f64 (/.f64 (+.f64 alpha (.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	27.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	14.9b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	32.9b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	15.1b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	14.9b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	33.6b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
▶	0.1b	(/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 alpha))) (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha))))
▶	15.1b	(/.f64 (/.f64 1 (/.f64 (+.f64 3 alpha) (+.f64 1 alpha))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	29.8b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
	36.2b	(/.f64 (-.f64 1 (/.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	16.9b	(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	29.1b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓	34.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	27.1b	(/.f64 (.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (.f64 2 alpha))))
	47.8b	(/.f64 alpha (*.f64 beta beta))
	36.1b	(/.f64 1 (*.f64 beta beta))
	55.5b	(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
▶	62.4b	(/.f64 1/2 alpha)
	15.8b	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	28.2b	(.f64 (/.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha))
	0.6b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
	33.6b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))

Compiler

Compiled 943 to 673 computations (28.6% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 110 to 70 computations (36.4% saved)

series11.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`add-sqr-sqrt`
562×	`pow1`
562×	`*-un-lft-identity`
542×	`add-cbrt-cube`
542×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	178
1	552	166

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

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

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

simplify206.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1142×	`+-commutative`
1092×	`*-commutative`
1058×	`associate-/l*`
992×	`associate-r`
926×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	823	23173
1	2933	22903

Stop Event

1×	node limit

Counts

243 → 453

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize42.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 30 to 21 computations (30% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite103.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`associate-/r*`
1096×	`*-commutative`
916×	`associate-/l*`
902×	`distribute-lft-in`
870×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	228	31
2	3200	31

Stop Event

1×	node limit

Counts

1 → 87

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 3 alpha)))) (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (fma.f64 (-.f64 -3 beta) 1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 3 alpha)))) (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 3 alpha)))) (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 3 alpha)))) (*.f64 (fma.f64 (-.f64 -3 beta) 1 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simplify133.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1024×	`+-commutative`
994×	`associate-+l+`
992×	`associate-+r+`
646×	`distribute-lft-in`
590×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	7413
1	1282	6937
2	5364	6885

Stop Event

1×	node limit

Counts

111 → 219

Calls

Call 1

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

Outputs
(/.f64 1/3 (+.f64 3 alpha))
(+.f64 (.f64 1/3 (/.f64 1 (+.f64 3 alpha))) (.f64 -1/9 (/.f64 (*.f64 (+.f64 6 alpha) beta) (pow.f64 (+.f64 3 alpha) 2))))
(+.f64 (/.f64 1/3 (+.f64 3 alpha)) (/.f64 (.f64 -1/9 (.f64 (+.f64 alpha 6) beta)) (pow.f64 (+.f64 3 alpha) 2)))
(fma.f64 -1/9 (/.f64 beta (/.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 alpha 6))) (/.f64 1/3 (+.f64 3 alpha)))
(+.f64 (.f64 1/3 (/.f64 1 (+.f64 3 alpha))) (+.f64 (.f64 -1/9 (/.f64 (.f64 (+.f64 6 alpha) beta) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1/27 (/.f64 (pow.f64 (+.f64 6 alpha) 2) (pow.f64 (+.f64 3 alpha) 3))))))))
(+.f64 (/.f64 1/3 (+.f64 3 alpha)) (fma.f64 -1/9 (/.f64 (.f64 (+.f64 alpha 6) beta) (pow.f64 (+.f64 3 alpha) 2)) (neg.f64 (.f64 (.f64 beta beta) (+.f64 (/.f64 1/9 (pow.f64 (+.f64 3 alpha) 2)) (.f64 -1/27 (/.f64 (pow.f64 (+.f64 alpha 6) 2) (pow.f64 (+.f64 3 alpha) 3))))))))
(-.f64 (fma.f64 -1/9 (/.f64 beta (/.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 alpha 6))) (/.f64 1/3 (+.f64 3 alpha))) (.f64 beta (.f64 beta (fma.f64 -1/27 (/.f64 (pow.f64 (+.f64 alpha 6) 2) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1/9 (pow.f64 (+.f64 3 alpha) 2))))))
(+.f64 (.f64 1/3 (/.f64 1 (+.f64 3 alpha))) (+.f64 (.f64 -1/9 (/.f64 (.f64 (+.f64 6 alpha) beta) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1/27 (/.f64 (+.f64 6 alpha) (pow.f64 (+.f64 3 alpha) 3))) (.f64 -1/3 (/.f64 (.f64 (+.f64 6 alpha) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1/27 (/.f64 (pow.f64 (+.f64 6 alpha) 2) (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 3 alpha)))))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1/27 (/.f64 (pow.f64 (+.f64 6 alpha) 2) (pow.f64 (+.f64 3 alpha) 3)))))))))
(+.f64 (/.f64 1/3 (+.f64 3 alpha)) (fma.f64 -1/9 (/.f64 (.f64 (+.f64 alpha 6) beta) (pow.f64 (+.f64 3 alpha) 2)) (fma.f64 -1 (.f64 (pow.f64 beta 3) (fma.f64 -1/27 (/.f64 (+.f64 alpha 6) (pow.f64 (+.f64 3 alpha) 3)) (.f64 -1/3 (/.f64 (+.f64 alpha 6) (/.f64 (+.f64 3 alpha) (+.f64 (/.f64 1/9 (pow.f64 (+.f64 3 alpha) 2)) (.f64 -1/27 (/.f64 (pow.f64 (+.f64 alpha 6) 2) (pow.f64 (+.f64 3 alpha) 3))))))))) (neg.f64 (.f64 (.f64 beta beta) (+.f64 (/.f64 1/9 (pow.f64 (+.f64 3 alpha) 2)) (*.f64 -1/27 (/.f64 (pow.f64 (+.f64 alpha 6) 2) (pow.f64 (+.f64 3 alpha) 3)))))))))
(+.f64 (fma.f64 -1/9 (/.f64 beta (/.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 alpha 6))) (/.f64 1/3 (+.f64 3 alpha))) (neg.f64 (fma.f64 (pow.f64 beta 3) (fma.f64 -1/3 (.f64 (/.f64 (+.f64 alpha 6) (+.f64 3 alpha)) (fma.f64 -1/27 (/.f64 (pow.f64 (+.f64 alpha 6) 2) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1/9 (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (+.f64 (.f64 -1/27 alpha) -2/9) (pow.f64 (+.f64 3 alpha) 3))) (.f64 beta (.f64 beta (fma.f64 -1/27 (/.f64 (pow.f64 (+.f64 alpha 6) 2) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1/9 (pow.f64 (+.f64 3 alpha) 2))))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (+.f64 3 alpha)) (.f64 -1 (pow.f64 (+.f64 6 alpha) 2))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3)))))
(fma.f64 -1 (/.f64 (fma.f64 3 (+.f64 3 alpha) (neg.f64 (pow.f64 (+.f64 alpha 6) 2))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))))
(-.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (/.f64 (-.f64 (.f64 3 (+.f64 3 alpha)) (pow.f64 (+.f64 alpha 6) 2)) (pow.f64 beta 4)))
(+.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (-.f64 (.f64 3 (+.f64 3 alpha)) (pow.f64 (+.f64 alpha 6) 2)) (pow.f64 beta 4))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -3 (.f64 (+.f64 6 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 (.f64 3 (+.f64 3 alpha)) (.f64 -1 (pow.f64 (+.f64 6 alpha) 2)))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (+.f64 3 alpha)) (.f64 -1 (pow.f64 (+.f64 6 alpha) 2))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))))
(fma.f64 -1 (/.f64 (fma.f64 -3 (.f64 (+.f64 3 alpha) (+.f64 alpha 6)) (neg.f64 (.f64 (+.f64 alpha 6) (fma.f64 3 (+.f64 3 alpha) (neg.f64 (pow.f64 (+.f64 alpha 6) 2)))))) (pow.f64 beta 5)) (fma.f64 -1 (/.f64 (fma.f64 3 (+.f64 3 alpha) (neg.f64 (pow.f64 (+.f64 alpha 6) 2))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))))
(-.f64 (-.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (/.f64 (-.f64 (.f64 3 (+.f64 3 alpha)) (pow.f64 (+.f64 alpha 6) 2)) (pow.f64 beta 4))) (/.f64 (-.f64 (.f64 (+.f64 3 alpha) (+.f64 (.f64 -3 alpha) -18)) (.f64 (+.f64 alpha 6) (-.f64 (.f64 3 (+.f64 3 alpha)) (pow.f64 (+.f64 alpha 6) 2)))) (pow.f64 beta 5)))
(+.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (-.f64 (.f64 3 (+.f64 3 alpha)) (pow.f64 (+.f64 alpha 6) 2)) (pow.f64 beta 4))) (-.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (/.f64 (fma.f64 -3 (.f64 (+.f64 3 alpha) (+.f64 alpha 6)) (.f64 (-.f64 (*.f64 3 (+.f64 3 alpha)) (pow.f64 (+.f64 alpha 6) 2)) (-.f64 -6 alpha))) (pow.f64 beta 5))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (.f64 -1 (/.f64 (-.f64 3 (.f64 -1 (+.f64 3 alpha))) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)))
(+.f64 (.f64 -1 (/.f64 (-.f64 3 (.f64 -1 (+.f64 3 alpha))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (+.f64 3 alpha)) (.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 3) (-.f64 3 (*.f64 -1 (+.f64 3 alpha))))) (pow.f64 beta 4))) (/.f64 1 (pow.f64 beta 2))))
(fma.f64 -1 (/.f64 (fma.f64 3 (+.f64 3 alpha) (neg.f64 (pow.f64 (+.f64 alpha 6) 2))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))))
(-.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (/.f64 (-.f64 (.f64 3 (+.f64 3 alpha)) (pow.f64 (+.f64 alpha 6) 2)) (pow.f64 beta 4)))
(+.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (-.f64 (.f64 3 (+.f64 3 alpha)) (pow.f64 (+.f64 alpha 6) 2)) (pow.f64 beta 4))))
(+.f64 (.f64 -1 (/.f64 (-.f64 3 (.f64 -1 (+.f64 3 alpha))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (+.f64 3 alpha)) (.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 3) (-.f64 3 (.f64 -1 (+.f64 3 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 3) (+.f64 (.f64 3 (+.f64 3 alpha)) (.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 3) (-.f64 3 (.f64 -1 (+.f64 3 alpha)))))) (pow.f64 beta 5))) (.f64 3 (/.f64 (.f64 (+.f64 3 alpha) (-.f64 3 (*.f64 -1 (+.f64 3 alpha)))) (pow.f64 beta 5)))))))
(fma.f64 -1 (/.f64 (-.f64 3 (neg.f64 (+.f64 3 alpha))) (pow.f64 beta 3)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 3 (+.f64 3 alpha) (.f64 (-.f64 3 (neg.f64 (+.f64 3 alpha))) (fma.f64 -1 (+.f64 3 alpha) -3))) (pow.f64 beta 4)) (/.f64 1 (.f64 beta beta))) (fma.f64 -1 (/.f64 (fma.f64 -1 (+.f64 3 alpha) -3) (/.f64 (pow.f64 beta 5) (fma.f64 3 (+.f64 3 alpha) (.f64 (-.f64 3 (neg.f64 (+.f64 3 alpha))) (fma.f64 -1 (+.f64 3 alpha) -3))))) (.f64 3 (/.f64 (+.f64 3 alpha) (/.f64 (pow.f64 beta 5) (-.f64 3 (neg.f64 (+.f64 3 alpha)))))))))
(+.f64 (-.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (fma.f64 (-.f64 6 (neg.f64 alpha)) (neg.f64 (-.f64 6 (neg.f64 alpha))) (.f64 3 (+.f64 3 alpha))) (pow.f64 beta 4))) (/.f64 (-.f64 6 (neg.f64 alpha)) (pow.f64 beta 3))) (-.f64 (/.f64 (.f64 3 (+.f64 3 alpha)) (/.f64 (pow.f64 beta 5) (-.f64 6 (neg.f64 alpha)))) (.f64 (/.f64 (neg.f64 (-.f64 6 (neg.f64 alpha))) (pow.f64 beta 5)) (fma.f64 (-.f64 6 (neg.f64 alpha)) (neg.f64 (-.f64 6 (neg.f64 alpha))) (*.f64 3 (+.f64 3 alpha))))))
(+.f64 (+.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (-.f64 (.f64 3 (+.f64 3 alpha)) (pow.f64 (+.f64 alpha 6) 2)) (pow.f64 beta 4)))) (-.f64 (.f64 3 (/.f64 (.f64 (+.f64 3 alpha) (+.f64 alpha 6)) (pow.f64 beta 5))) (.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 5)) (-.f64 (.f64 3 (+.f64 3 alpha)) (pow.f64 (+.f64 alpha 6) 2)))))
(/.f64 1 (pow.f64 (+.f64 beta 3) 2))
(/.f64 1 (pow.f64 (+.f64 3 beta) 2))
(pow.f64 (+.f64 3 beta) -2)
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 3) 3))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (neg.f64 (/.f64 alpha (pow.f64 (+.f64 3 beta) 3))))
(-.f64 (pow.f64 (+.f64 3 beta) -2) (/.f64 alpha (pow.f64 (+.f64 3 beta) 3)))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 3) 3)))))
(+.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 4)) (/.f64 1 (pow.f64 (+.f64 3 beta) 2))) (neg.f64 (/.f64 alpha (pow.f64 (+.f64 3 beta) 3))))
(+.f64 (-.f64 (pow.f64 (+.f64 3 beta) -2) (/.f64 alpha (pow.f64 (+.f64 3 beta) 3))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 3 beta) 4) alpha)))
(+.f64 (pow.f64 (+.f64 3 beta) -2) (-.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 3 beta) 4) alpha)) (/.f64 alpha (pow.f64 (+.f64 3 beta) 3))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 5))) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 3) 3))))))
(+.f64 (+.f64 (/.f64 (.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 4)) (/.f64 1 (pow.f64 (+.f64 3 beta) 2))) (.f64 -1 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 3 beta) 5)) (/.f64 alpha (pow.f64 (+.f64 3 beta) 3)))))
(+.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 3 beta) 4) alpha)) (-.f64 (-.f64 (pow.f64 (+.f64 3 beta) -2) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 3 beta) 5))) (/.f64 alpha (pow.f64 (+.f64 3 beta) 3))))
(+.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 3 beta) 4) alpha)) (-.f64 (-.f64 (pow.f64 (+.f64 3 beta) -2) (/.f64 alpha (pow.f64 (+.f64 3 beta) 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 3 beta) 5))))
(/.f64 1 (*.f64 (+.f64 beta 3) alpha))
(/.f64 1 (*.f64 alpha (+.f64 3 beta)))
(/.f64 (/.f64 1 alpha) (+.f64 3 beta))
(-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (/.f64 1 (.f64 alpha (+.f64 3 beta))) (/.f64 1 (.f64 alpha alpha)))
(+.f64 (/.f64 (/.f64 1 alpha) (+.f64 3 beta)) (/.f64 -1 (*.f64 alpha alpha)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (.f64 3 (/.f64 1 (pow.f64 alpha 3))))) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 3 beta))) (/.f64 3 (pow.f64 alpha 3))) (/.f64 1 (.f64 alpha alpha))))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 3 (pow.f64 alpha 3)) (+.f64 (/.f64 (/.f64 1 alpha) (+.f64 3 beta)) (/.f64 -1 (*.f64 alpha alpha)))))
(+.f64 (/.f64 (/.f64 1 alpha) (+.f64 3 beta)) (+.f64 (/.f64 3 (pow.f64 alpha 3)) (-.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (/.f64 1 alpha) alpha))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 4))) (*.f64 3 (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 3 beta))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 4)) (/.f64 3 (pow.f64 alpha 3)))) (/.f64 1 (.f64 alpha alpha))))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 (/.f64 1 alpha) (+.f64 3 beta)) (-.f64 (-.f64 (/.f64 3 (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 4))) (/.f64 (/.f64 1 alpha) alpha))))
(+.f64 (/.f64 (/.f64 1 alpha) (+.f64 3 beta)) (+.f64 (-.f64 (/.f64 3 (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 -1 (*.f64 alpha alpha)))))
(/.f64 1 (*.f64 (+.f64 beta 3) alpha))
(/.f64 1 (*.f64 alpha (+.f64 3 beta)))
(/.f64 (/.f64 1 alpha) (+.f64 3 beta))
(-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (/.f64 1 (.f64 alpha (+.f64 3 beta))) (/.f64 1 (.f64 alpha alpha)))
(+.f64 (/.f64 (/.f64 1 alpha) (+.f64 3 beta)) (/.f64 -1 (*.f64 alpha alpha)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (.f64 3 (/.f64 1 (pow.f64 alpha 3))))) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 3 beta))) (/.f64 3 (pow.f64 alpha 3))) (/.f64 1 (.f64 alpha alpha))))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 3 (pow.f64 alpha 3)) (+.f64 (/.f64 (/.f64 1 alpha) (+.f64 3 beta)) (/.f64 -1 (*.f64 alpha alpha)))))
(+.f64 (/.f64 (/.f64 1 alpha) (+.f64 3 beta)) (+.f64 (/.f64 3 (pow.f64 alpha 3)) (-.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (/.f64 1 alpha) alpha))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 4))) (*.f64 3 (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 3 beta))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 4)) (/.f64 3 (pow.f64 alpha 3)))) (/.f64 1 (.f64 alpha alpha))))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 (/.f64 1 alpha) (+.f64 3 beta)) (-.f64 (-.f64 (/.f64 3 (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 4))) (/.f64 (/.f64 1 alpha) alpha))))
(+.f64 (/.f64 (/.f64 1 alpha) (+.f64 3 beta)) (+.f64 (-.f64 (/.f64 3 (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 -1 (*.f64 alpha alpha)))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta (+.f64 3 alpha)))) (.f64 (/.f64 1 (.f64 (+.f64 beta 3) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (fma.f64 (-.f64 -3 beta) 1 (+.f64 beta 3))))
(+.f64 (/.f64 1 (.f64 (+.f64 3 beta) (+.f64 (+.f64 3 alpha) beta))) (.f64 (/.f64 (/.f64 1 (+.f64 3 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 2))) (fma.f64 (-.f64 -3 beta) 1 (+.f64 3 beta))))
(+.f64 (/.f64 1 (.f64 (+.f64 3 beta) (+.f64 3 (+.f64 alpha beta)))) (/.f64 (+.f64 (+.f64 3 beta) (-.f64 -3 beta)) (.f64 (+.f64 3 beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 2)))))
(+.f64 (/.f64 1 (.f64 (+.f64 3 beta) (+.f64 3 (+.f64 alpha beta)))) (/.f64 (+.f64 beta (+.f64 (neg.f64 beta) 0)) (.f64 (+.f64 3 beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 2)))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta (+.f64 3 alpha)))) (.f64 (/.f64 1 (.f64 (+.f64 beta 3) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3))))
(+.f64 (/.f64 1 (.f64 (+.f64 3 beta) (+.f64 (+.f64 3 alpha) beta))) (.f64 (/.f64 (/.f64 1 (+.f64 3 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 3 beta))) (sqrt.f64 (+.f64 3 beta)) (+.f64 3 beta))))
(+.f64 (/.f64 1 (.f64 (+.f64 3 beta) (+.f64 3 (+.f64 alpha beta)))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 3 beta))) (sqrt.f64 (+.f64 3 beta)) (+.f64 3 beta)) (.f64 (+.f64 3 beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 2)))))
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(/.f64 1 (*.f64 (+.f64 3 beta) (+.f64 3 (+.f64 alpha beta))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 3 alpha))))))
(/.f64 1 (*.f64 (+.f64 3 beta) (+.f64 (+.f64 3 alpha) beta)))
(/.f64 1 (*.f64 (+.f64 3 beta) (+.f64 3 (+.f64 alpha beta))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 3 alpha))))))
(/.f64 1 (*.f64 (+.f64 3 beta) (+.f64 (+.f64 3 alpha) beta)))
(/.f64 1 (*.f64 (+.f64 3 beta) (+.f64 3 (+.f64 alpha beta))))

localize29.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.1b

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

✓

1.3b

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

Compiler

Compiled 74 to 47 computations (36.5% saved)

series23.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
15.0ms	alpha	@	0	(/.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (-.f64 -3 (+.f64 beta (*.f64 alpha 2))))
1.0ms	alpha	@	-inf	(.f64 (/.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha))
1.0ms	beta	@	0	(/.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (-.f64 -3 (+.f64 beta (*.f64 alpha 2))))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (-.f64 -3 (+.f64 beta (*.f64 alpha 2))))
1.0ms	beta	@	-inf	(/.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (-.f64 -3 (+.f64 beta (*.f64 alpha 2))))

rewrite121.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1904×	`associate-/r/`
476×	`+-commutative`
428×	`associate-+l+`
410×	`add-sqr-sqrt`
398×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	117
1	389	107
2	5853	103

Stop Event

1×	node limit

Counts

3 → 203

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify202.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1322×	`associate-r`
1170×	`associate-l`
1156×	`associate-*l/`
1084×	`associate-/r*`
1060×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	932	21621
1	3522	20891

Stop Event

1×	node limit

Counts

275 → 489

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

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

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 69 to 48 computations (30.4% saved)

series9.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`distribute-lft-neg-in`
766×	`distribute-rgt-neg-in`
374×	`add-sqr-sqrt`
364×	`+-commutative`
362×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	93
1	361	81
2	5473	81

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify121.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1014×	`associate-r`
978×	`associate-l`
812×	`*-commutative`
680×	`distribute-lft-in`
676×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	604	10781
1	1962	10383

Stop Event

1×	node limit

Counts

195 → 301

Calls

Call 1

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

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

eval1.5s (6.5%)

Compiler: Compiled 63013 to 46363 computations (26.4% saved)

prune607.0ms (2.7%)

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	1563	6	1569
Fresh	4	16	20
Picked	1	0	1
Done	1	6	7
Total	1569	28	1597

Error

Counts

1597 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	36.0b	(pow.f64 beta -2)
	15.1b	(/.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))))
▶	15.1b	(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	0.1b	(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 3 beta)))))
✓	3.8b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	3.8b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	49.3b	(/.f64 (/.f64 (+.f64 alpha (.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	27.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	14.9b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	32.9b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	14.9b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	33.6b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
✓	29.8b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
	3.8b	(/.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha))))
▶	16.9b	(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	15.2b	(/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	29.1b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓	34.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	27.1b	(/.f64 (.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (.f64 2 alpha))))
	47.8b	(/.f64 alpha (*.f64 beta beta))
▶	29.9b	(/.f64 1 (*.f64 (+.f64 3 beta) (+.f64 (+.f64 3 alpha) beta)))
	36.1b	(/.f64 1 (*.f64 beta beta))
✓	62.4b	(/.f64 1/2 alpha)
▶	55.7b	(/.f64 1/3 (+.f64 3 alpha))
	15.8b	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	28.2b	(.f64 (/.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha))
	0.6b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
	33.6b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))

Compiler

Compiled 868 to 621 computations (28.5% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 87 to 58 computations (33.3% saved)

series13.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite123.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

516×	`+-commutative`
462×	`add-sqr-sqrt`
452×	`pow1`
452×	`*-un-lft-identity`
434×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	166
1	434	154
2	7164	154

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

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

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

simplify174.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1348×	`associate-r`
1228×	`associate-l`
1208×	`associate-/r*`
1036×	`+-commutative`
890×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	889	23080
1	3025	22816

Stop Event

1×	node limit

Counts

280 → 475

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`add-sqr-sqrt`
1600×	`*-un-lft-identity`
1512×	`add-cube-cbrt`
1502×	`add-cbrt-cube`
152×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	158	13
2	1964	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1504×	`associate-*r/`
1232×	`associate-r`
1072×	`associate-*l/`
1014×	`associate-l`
870×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	724
1	219	716
2	777	704
3	3957	704

Stop Event

1×	node limit

Counts

36 → 58

Calls

Call 1

Inputs
1/9
(+.f64 1/9 (*.f64 -1/27 alpha))
(+.f64 1/9 (+.f64 (.f64 -1/27 alpha) (.f64 1/81 (pow.f64 alpha 2))))
(+.f64 (.f64 -1/243 (pow.f64 alpha 3)) (+.f64 1/9 (+.f64 (.f64 -1/27 alpha) (*.f64 1/81 (pow.f64 alpha 2)))))
(/.f64 1/3 alpha)
(-.f64 (*.f64 1/3 (/.f64 1 alpha)) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/3 (/.f64 1 alpha))) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/3 (/.f64 1 alpha))) (+.f64 (*.f64 9 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))))
(/.f64 1/3 alpha)
(-.f64 (*.f64 1/3 (/.f64 1 alpha)) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/3 (/.f64 1 alpha))) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/3 (/.f64 1 alpha))) (+.f64 (*.f64 9 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (+.f64 3 alpha)))) 1)
(*.f64 1/3 (/.f64 1 (+.f64 3 alpha)))
(*.f64 (/.f64 1/3 (+.f64 3 alpha)) 1)
(*.f64 1 (/.f64 1/3 (+.f64 3 alpha)))
(*.f64 (sqrt.f64 (/.f64 1/3 (+.f64 3 alpha))) (sqrt.f64 (/.f64 1/3 (+.f64 3 alpha))))
(*.f64 (cbrt.f64 (/.f64 1/3 (+.f64 3 alpha))) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 3 alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 3 alpha))) 2) (cbrt.f64 (/.f64 1/3 (+.f64 3 alpha))))
(*.f64 (/.f64 1 (+.f64 3 alpha)) 1/3)
(*.f64 -1/3 (/.f64 1 (+.f64 -3 (neg.f64 alpha))))
(.f64 (/.f64 1/3 (-.f64 9 (.f64 alpha alpha))) (-.f64 3 alpha))
(.f64 (/.f64 1/3 (+.f64 27 (pow.f64 alpha 3))) (+.f64 9 (.f64 alpha (-.f64 alpha 3))))
(pow.f64 (/.f64 1/3 (+.f64 3 alpha)) 1)
(pow.f64 (sqrt.f64 (/.f64 1/3 (+.f64 3 alpha))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 3 alpha))) 3)
(pow.f64 (pow.f64 (/.f64 1/3 (+.f64 3 alpha)) 3) 1/3)
(pow.f64 (*.f64 (+.f64 3 alpha) 3) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 3 alpha) 2)))
(log.f64 (exp.f64 (/.f64 1/3 (+.f64 3 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (+.f64 3 alpha)))))
(cbrt.f64 (pow.f64 (/.f64 1/3 (+.f64 3 alpha)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 (+.f64 3 alpha))))
(exp.f64 (log.f64 (/.f64 1/3 (+.f64 3 alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (+.f64 3 alpha))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 (+.f64 3 alpha))))

Outputs
1/9
(+.f64 1/9 (*.f64 -1/27 alpha))
(fma.f64 -1/27 alpha 1/9)
(+.f64 1/9 (+.f64 (.f64 -1/27 alpha) (.f64 1/81 (pow.f64 alpha 2))))
(+.f64 1/9 (fma.f64 -1/27 alpha (.f64 1/81 (.f64 alpha alpha))))
(+.f64 1/9 (fma.f64 -1/27 alpha (.f64 alpha (.f64 alpha 1/81))))
(fma.f64 -1/27 alpha (fma.f64 alpha (*.f64 alpha 1/81) 1/9))
(fma.f64 -1/27 alpha (fma.f64 1/81 (*.f64 alpha alpha) 1/9))
(+.f64 (.f64 -1/243 (pow.f64 alpha 3)) (+.f64 1/9 (+.f64 (.f64 -1/27 alpha) (*.f64 1/81 (pow.f64 alpha 2)))))
(fma.f64 -1/243 (pow.f64 alpha 3) (+.f64 1/9 (fma.f64 -1/27 alpha (.f64 1/81 (.f64 alpha alpha)))))
(fma.f64 -1/243 (pow.f64 alpha 3) (+.f64 1/9 (fma.f64 -1/27 alpha (.f64 alpha (.f64 alpha 1/81)))))
(fma.f64 -1/243 (pow.f64 alpha 3) (fma.f64 -1/27 alpha (fma.f64 alpha (*.f64 alpha 1/81) 1/9)))
(fma.f64 -1/243 (pow.f64 alpha 3) (fma.f64 -1/27 alpha (fma.f64 1/81 (*.f64 alpha alpha) 1/9)))
(/.f64 1/3 alpha)
(-.f64 (*.f64 1/3 (/.f64 1 alpha)) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (/.f64 1/3 alpha) (/.f64 1 (*.f64 alpha alpha)))
(+.f64 (/.f64 1/3 alpha) (/.f64 -1 (*.f64 alpha alpha)))
(+.f64 (/.f64 1/3 alpha) (/.f64 (/.f64 -1 alpha) alpha))
(-.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/3 (/.f64 1 alpha))) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 3 (pow.f64 alpha 3)) (-.f64 (/.f64 1/3 alpha) (/.f64 1 (*.f64 alpha alpha))))
(+.f64 (/.f64 1/3 alpha) (+.f64 (/.f64 3 (pow.f64 alpha 3)) (/.f64 -1 (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 1/3 alpha) (/.f64 (/.f64 -1 alpha) alpha)) (/.f64 3 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/3 (/.f64 1 alpha))) (+.f64 (*.f64 9 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1/3 alpha) (/.f64 3 (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 9 (pow.f64 alpha 4))))
(+.f64 (/.f64 1/3 alpha) (-.f64 (/.f64 3 (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 9 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1/3 alpha) (+.f64 (+.f64 (/.f64 3 (pow.f64 alpha 3)) (/.f64 -1 (*.f64 alpha alpha))) (/.f64 -9 (pow.f64 alpha 4))))
(+.f64 (/.f64 1/3 alpha) (-.f64 (/.f64 3 (pow.f64 alpha 3)) (-.f64 (/.f64 9 (pow.f64 alpha 4)) (/.f64 (/.f64 -1 alpha) alpha))))
(/.f64 1/3 alpha)
(-.f64 (*.f64 1/3 (/.f64 1 alpha)) (/.f64 1 (pow.f64 alpha 2)))
(-.f64 (/.f64 1/3 alpha) (/.f64 1 (*.f64 alpha alpha)))
(+.f64 (/.f64 1/3 alpha) (/.f64 -1 (*.f64 alpha alpha)))
(+.f64 (/.f64 1/3 alpha) (/.f64 (/.f64 -1 alpha) alpha))
(-.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/3 (/.f64 1 alpha))) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 3 (pow.f64 alpha 3)) (-.f64 (/.f64 1/3 alpha) (/.f64 1 (*.f64 alpha alpha))))
(+.f64 (/.f64 1/3 alpha) (+.f64 (/.f64 3 (pow.f64 alpha 3)) (/.f64 -1 (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 1/3 alpha) (/.f64 (/.f64 -1 alpha) alpha)) (/.f64 3 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/3 (/.f64 1 alpha))) (+.f64 (*.f64 9 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1/3 alpha) (/.f64 3 (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 9 (pow.f64 alpha 4))))
(+.f64 (/.f64 1/3 alpha) (-.f64 (/.f64 3 (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 9 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1/3 alpha) (+.f64 (+.f64 (/.f64 3 (pow.f64 alpha 3)) (/.f64 -1 (*.f64 alpha alpha))) (/.f64 -9 (pow.f64 alpha 4))))
(+.f64 (/.f64 1/3 alpha) (-.f64 (/.f64 3 (pow.f64 alpha 3)) (-.f64 (/.f64 9 (pow.f64 alpha 4)) (/.f64 (/.f64 -1 alpha) alpha))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (+.f64 3 alpha)))) 1)
(/.f64 1/3 (+.f64 alpha 3))
(*.f64 1/3 (/.f64 1 (+.f64 3 alpha)))
(/.f64 1/3 (+.f64 alpha 3))
(*.f64 (/.f64 1/3 (+.f64 3 alpha)) 1)
(/.f64 1/3 (+.f64 alpha 3))
(*.f64 1 (/.f64 1/3 (+.f64 3 alpha)))
(/.f64 1/3 (+.f64 alpha 3))
(*.f64 (sqrt.f64 (/.f64 1/3 (+.f64 3 alpha))) (sqrt.f64 (/.f64 1/3 (+.f64 3 alpha))))
(/.f64 1/3 (+.f64 alpha 3))
(*.f64 (cbrt.f64 (/.f64 1/3 (+.f64 3 alpha))) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 3 alpha))) 2))
(/.f64 1/3 (+.f64 alpha 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 3 alpha))) 2) (cbrt.f64 (/.f64 1/3 (+.f64 3 alpha))))
(/.f64 1/3 (+.f64 alpha 3))
(*.f64 (/.f64 1 (+.f64 3 alpha)) 1/3)
(/.f64 1/3 (+.f64 alpha 3))
(*.f64 -1/3 (/.f64 1 (+.f64 -3 (neg.f64 alpha))))
(/.f64 -1/3 (-.f64 -3 alpha))
(.f64 (/.f64 1/3 (-.f64 9 (.f64 alpha alpha))) (-.f64 3 alpha))
(*.f64 (/.f64 1/3 (fma.f64 alpha (neg.f64 alpha) 9)) (-.f64 3 alpha))
(.f64 (/.f64 1/3 (+.f64 27 (pow.f64 alpha 3))) (+.f64 9 (.f64 alpha (-.f64 alpha 3))))
(.f64 (/.f64 1/3 (+.f64 (pow.f64 alpha 3) 27)) (+.f64 9 (.f64 alpha (+.f64 alpha -3))))
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 alpha 3) 27)) (fma.f64 alpha (+.f64 alpha -3) 9))
(pow.f64 (/.f64 1/3 (+.f64 3 alpha)) 1)
(/.f64 1/3 (+.f64 alpha 3))
(pow.f64 (sqrt.f64 (/.f64 1/3 (+.f64 3 alpha))) 2)
(/.f64 1/3 (+.f64 alpha 3))
(pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 3 alpha))) 3)
(/.f64 1/3 (+.f64 alpha 3))
(pow.f64 (pow.f64 (/.f64 1/3 (+.f64 3 alpha)) 3) 1/3)
(/.f64 1/3 (+.f64 alpha 3))
(pow.f64 (*.f64 (+.f64 3 alpha) 3) -1)
(/.f64 1/3 (+.f64 alpha 3))
(sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 3 alpha) 2)))
(sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 alpha 3) 2)))
(sqrt.f64 (pow.f64 (fma.f64 alpha 3 9) -2))
(log.f64 (exp.f64 (/.f64 1/3 (+.f64 3 alpha))))
(/.f64 1/3 (+.f64 alpha 3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (+.f64 3 alpha)))))
(/.f64 1/3 (+.f64 alpha 3))
(cbrt.f64 (pow.f64 (/.f64 1/3 (+.f64 3 alpha)) 3))
(/.f64 1/3 (+.f64 alpha 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 (+.f64 3 alpha))))
(/.f64 1/3 (+.f64 alpha 3))
(exp.f64 (log.f64 (/.f64 1/3 (+.f64 3 alpha))))
(/.f64 1/3 (+.f64 alpha 3))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (+.f64 3 alpha))) 1))
(/.f64 1/3 (+.f64 alpha 3))
(log1p.f64 (expm1.f64 (/.f64 1/3 (+.f64 3 alpha))))
(/.f64 1/3 (+.f64 alpha 3))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 25 computations (32.4% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`associate-/r*`
658×	`associate-/r/`
494×	`associate-/l*`
424×	`distribute-lft-neg-in`
412×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	256	56
2	3734	56

Stop Event

1×	node limit

Counts

2 → 263

Calls

Call 1

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

Outputs

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

simplify210.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1106×	`distribute-lft-in`
1014×	`distribute-rgt-in`
872×	`*-commutative`
836×	`associate-/l*`
752×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	776	18891
1	2352	18523

Stop Event

1×	node limit

Counts

311 → 507

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 2/9 beta) 1/3)
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.4b	(*.f64 2/9 beta)
✓	14.0b	(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 51 to 35 computations (31.4% saved)

series25.0ms (0.1%)

Counts

3 → 33

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	0	(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	inf	(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	-inf	(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	inf	(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1682×	`associate-/r*`
1298×	`associate-/l*`
964×	`associate-/r/`
322×	`add-sqr-sqrt`
308×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	309	49
2	4466	49

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

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

Outputs

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((x *.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (-.f64 (*.f64 (*.f64 4/81 (*.f64 beta beta)) (*.f64 4/81 (*.f64 beta beta))) (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 1/9 (*.f64 beta 2/27))))) (+.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (*.f64 beta 2/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (+.f64 (pow.f64 (*.f64 4/81 (*.f64 beta beta)) 3) (pow.f64 (-.f64 1/9 (*.f64 beta 2/27)) 3))) (+.f64 (*.f64 (*.f64 4/81 (*.f64 beta beta)) (*.f64 4/81 (*.f64 beta beta))) (-.f64 (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 1/9 (*.f64 beta 2/27))) (*.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2/9 beta 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 2/9 beta 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (/.f64 1 (sqrt.f64 (fma.f64 2/9 beta 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (/.f64 1 (cbrt.f64 (fma.f64 2/9 beta 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (fma.f64 2/9 beta -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (/.f64 1 (/.f64 1 (fma.f64 2/9 beta -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (/.f64 1 (/.f64 1 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (/.f64 (+.f64 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-1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (neg.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 4/81 (*.f64 beta beta))) (-.f64 1/3 (*.f64 2/9 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) 1) (fma.f64 2/9 beta -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (sqrt.f64 (fma.f64 2/9 beta -1/3))) (sqrt.f64 (fma.f64 2/9 beta -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (*.f64 (cbrt.f64 (fma.f64 2/9 beta -1/3)) (cbrt.f64 (fma.f64 2/9 beta -1/3)))) (cbrt.f64 (fma.f64 2/9 beta -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) 1) (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))) (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/9 beta 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/9 beta 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/9 beta 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/9 beta 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/9 beta 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2/9 beta 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/9 beta 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 beta 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta 2/9 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/9 beta) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2/9 beta)) (sqrt.f64 (*.f64 2/9 beta)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2/9 beta)) 2) (cbrt.f64 (*.f64 2/9 beta)) 1/3)))))

simplify468.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1016×	`distribute-lft-in`
988×	`associate-r`
978×	`associate-l`
928×	`associate-/l*`
916×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	580	10021
1	1886	9863

Stop Event

1×	node limit

Counts

165 → 285

Calls

Call 1

Inputs
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 beta (-.f64 (.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 beta (-.f64 (.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (.f64 (-.f64 (.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (.f64 (pow.f64 beta 3) (-.f64 (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (.f64 (-.f64 (.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 beta (-.f64 (.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (.f64 (-.f64 (.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))))))
(/.f64 2/9 beta)
(-.f64 (+.f64 (.f64 2/9 (/.f64 1 beta)) (.f64 1/3 (/.f64 1 (pow.f64 beta 2)))) (.f64 2/9 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 2/9 (/.f64 1 beta)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 1/3 (.f64 2/9 (+.f64 4 (.f64 2 alpha)))) (+.f64 4 (.f64 2 alpha))) (.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3))))) (.f64 2/9 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 2/9 (/.f64 1 beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 1/3 (.f64 2/9 (+.f64 4 (.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1 (.f64 (+.f64 (.f64 (-.f64 1/3 (.f64 2/9 (+.f64 4 (.f64 2 alpha)))) (+.f64 4 (.f64 2 alpha))) (.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 1/3 (.f64 2/9 (+.f64 4 (.f64 2 alpha)))) (+.f64 4 (.f64 2 alpha))) (.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3)))))) (.f64 2/9 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 beta 2))))
(/.f64 2/9 beta)
(-.f64 (+.f64 (.f64 2/9 (/.f64 1 beta)) (.f64 1/3 (/.f64 1 (pow.f64 beta 2)))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 2/9 (/.f64 1 beta)) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 1/3 (.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (.f64 1/3 (/.f64 1 (pow.f64 beta 2)))))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 2/9 (/.f64 1 beta)) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 1/3 (.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -2 (.f64 (-.f64 1/3 (.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha))) (.f64 -2/9 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))) (.f64 (-.f64 1/3 (.f64 4/9 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (.f64 1/3 (/.f64 1 (pow.f64 beta 2))))))) (.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/3 (.f64 2/9 beta)) (.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 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/3 (.f64 2/9 beta)) (.f64 (+.f64 4 (.f64 2 beta)) alpha)) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2/9 beta) 1/3) (pow.f64 (+.f64 4 (.f64 2 beta)) 2)) (pow.f64 (+.f64 beta 2) 6))) (.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/3 (.f64 2/9 beta)) (.f64 (+.f64 4 (.f64 2 beta)) alpha)) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2/9 beta) 1/3) (pow.f64 (+.f64 4 (.f64 2 beta)) 2)) (pow.f64 (+.f64 beta 2) 6))) (.f64 2/9 (/.f64 beta (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 2/9 beta) 1/3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6))) (.f64 -1 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/3 (.f64 2/9 beta)) (pow.f64 (+.f64 4 (.f64 2 beta)) 2)) (pow.f64 (+.f64 beta 2) 6))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(+.f64 (.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1/3 (.f64 2/9 beta)) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 3)))))
(+.f64 (.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/3 (.f64 2/9 beta)) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1/3 (.f64 2/9 beta)) (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (.f64 (+.f64 (.f64 2/9 beta) 1/3) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (pow.f64 alpha 4))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/3 (.f64 2/9 beta)) (pow.f64 (+.f64 4 (.f64 2 beta)) 2))) (.f64 (+.f64 (.f64 2/9 beta) 1/3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 4 (.f64 2 beta)))) (.f64 -1 (.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/3 (.f64 2/9 beta)) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1/3 (.f64 2/9 beta)) (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (.f64 (+.f64 (.f64 2/9 beta) 1/3) (pow.f64 (+.f64 4 (.f64 2 beta)) 2)))) (pow.f64 alpha 4)))))))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 1/3 (.f64 2/9 beta)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1/3 (.f64 2/9 beta)) (pow.f64 (+.f64 beta 2) 2)) (.f64 -4 (.f64 (+.f64 (.f64 2/9 beta) 1/3) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 1/3 (.f64 2/9 beta)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))))
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1/3
(*.f64 2/9 beta)
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(/.f64 (sqrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) -1/9)) (/.f64 (fma.f64 2/9 beta -1/3) (sqrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) -1/9))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/27 (.f64 8/729 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 1/27 (.f64 8/729 (pow.f64 beta 3))))) (/.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) (-.f64 1/9 (.f64 beta 2/27))) (cbrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) -1/9)) (cbrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) -1/9))) (/.f64 (fma.f64 2/9 beta -1/3) (cbrt.f64 (+.f64 (.f64 4/81 (*.f64 beta beta)) -1/9))))
(/.f64 (neg.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) -1/9)) (neg.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (neg.f64 (+.f64 1/27 (.f64 8/729 (pow.f64 beta 3)))) (neg.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) (-.f64 1/9 (.f64 beta 2/27)))))
(/.f64 (-.f64 1/9 (.f64 4/81 (.f64 beta beta))) (-.f64 1/3 (*.f64 2/9 beta)))
(/.f64 (/.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) -1/9) 1) (fma.f64 2/9 beta -1/3))
(/.f64 (/.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) -1/9) (sqrt.f64 (fma.f64 2/9 beta -1/3))) (sqrt.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (/.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) -1/9) (*.f64 (cbrt.f64 (fma.f64 2/9 beta -1/3)) (cbrt.f64 (fma.f64 2/9 beta -1/3)))) (cbrt.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (/.f64 (+.f64 1/27 (.f64 8/729 (pow.f64 beta 3))) 1) (+.f64 (.f64 4/81 (.f64 beta beta)) (-.f64 1/9 (.f64 beta 2/27))))
(/.f64 (/.f64 (+.f64 1/27 (.f64 8/729 (pow.f64 beta 3))) (sqrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) (-.f64 1/9 (.f64 beta 2/27))))) (sqrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))
(/.f64 (/.f64 (+.f64 1/27 (.f64 8/729 (pow.f64 beta 3))) (.f64 (cbrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) (-.f64 1/9 (.f64 beta 2/27)))) (cbrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) (-.f64 1/9 (.f64 beta 2/27)))))) (cbrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))
(pow.f64 (fma.f64 2/9 beta 1/3) 1)
(pow.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 3)
(pow.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2))
(log.f64 (exp.f64 (fma.f64 2/9 beta 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/9 beta 1/3))))
(cbrt.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 2/9 beta 1/3)))
(exp.f64 (log.f64 (fma.f64 2/9 beta 1/3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 2/9 beta 1/3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 2/9 beta 1/3)))
(fma.f64 2/9 beta 1/3)
(fma.f64 beta 2/9 1/3)
(fma.f64 1 (*.f64 2/9 beta) 1/3)
(fma.f64 (sqrt.f64 (.f64 2/9 beta)) (sqrt.f64 (.f64 2/9 beta)) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2/9 beta)) 2) (cbrt.f64 (.f64 2/9 beta)) 1/3)

Outputs
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 beta (-.f64 (.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 beta (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (.f64 beta (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 beta (-.f64 (.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (.f64 (-.f64 (.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 beta (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (neg.f64 (.f64 (.f64 beta beta) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (*.f64 2 alpha)))))))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 beta (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (neg.f64 (.f64 (.f64 beta beta) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (.f64 (/.f64 (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 4 (.f64 2 alpha))))))))
(+.f64 (.f64 (pow.f64 beta 3) (-.f64 (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (.f64 (-.f64 (.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 beta (-.f64 (.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (.f64 (-.f64 (.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))))))
(fma.f64 (pow.f64 beta 3) (-.f64 (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 6))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (.f64 2 alpha))))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (.f64 2 alpha)))) (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 beta (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (neg.f64 (.f64 (.f64 beta beta) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (*.f64 2 alpha))))))))))
(fma.f64 (pow.f64 beta 3) (-.f64 (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 6))) (fma.f64 -1 (.f64 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (.f64 (/.f64 (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 4 (.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 4 (.f64 2 alpha))) (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 beta (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (neg.f64 (.f64 (.f64 beta beta) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (.f64 (/.f64 (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (.f64 1/3 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 4 (.f64 2 alpha)))))))))
(/.f64 2/9 beta)
(-.f64 (+.f64 (.f64 2/9 (/.f64 1 beta)) (.f64 1/3 (/.f64 1 (pow.f64 beta 2)))) (.f64 2/9 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 beta 2))))
(+.f64 (+.f64 (/.f64 2/9 beta) (/.f64 1/3 (.f64 beta beta))) (.f64 -2/9 (/.f64 (+.f64 4 (.f64 2 alpha)) (.f64 beta beta))))
(+.f64 (/.f64 2/9 beta) (+.f64 (/.f64 1/3 (.f64 beta beta)) (/.f64 (+.f64 -8/9 (.f64 alpha -4/9)) (*.f64 beta beta))))
(-.f64 (+.f64 (.f64 2/9 (/.f64 1 beta)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 1/3 (.f64 2/9 (+.f64 4 (.f64 2 alpha)))) (+.f64 4 (.f64 2 alpha))) (.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3))))) (.f64 2/9 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 beta 2))))
(+.f64 (/.f64 2/9 beta) (-.f64 (+.f64 (/.f64 1/3 (.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 (-.f64 1/3 (+.f64 8/9 (.f64 (.f64 2 alpha) 2/9))) (+.f64 4 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9)) (pow.f64 beta 3)))) (.f64 2/9 (/.f64 (+.f64 4 (.f64 2 alpha)) (.f64 beta beta)))))
(+.f64 (/.f64 2/9 beta) (+.f64 (/.f64 1/3 (.f64 beta beta)) (-.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 -5/9 (.f64 alpha 4/9)) (+.f64 4 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9)) (pow.f64 beta 3))) (.f64 4/9 (/.f64 (+.f64 2 alpha) (.f64 beta beta))))))
(-.f64 (+.f64 (.f64 2/9 (/.f64 1 beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 1/3 (.f64 2/9 (+.f64 4 (.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1 (.f64 (+.f64 (.f64 (-.f64 1/3 (.f64 2/9 (+.f64 4 (.f64 2 alpha)))) (+.f64 4 (.f64 2 alpha))) (.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 1/3 (.f64 2/9 (+.f64 4 (.f64 2 alpha)))) (+.f64 4 (.f64 2 alpha))) (.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3)))))) (.f64 2/9 (/.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 beta 2))))
(+.f64 (/.f64 2/9 beta) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 (-.f64 1/3 (+.f64 8/9 (.f64 (.f64 2 alpha) 2/9))) (pow.f64 (+.f64 2 alpha) 2) (neg.f64 (.f64 (+.f64 4 (.f64 2 alpha)) (fma.f64 (-.f64 1/3 (+.f64 8/9 (.f64 (.f64 2 alpha) 2/9))) (+.f64 4 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9))))) (pow.f64 beta 4)) (+.f64 (/.f64 1/3 (.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 (-.f64 1/3 (+.f64 8/9 (.f64 (.f64 2 alpha) 2/9))) (+.f64 4 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9)) (pow.f64 beta 3))))) (.f64 2/9 (/.f64 (+.f64 4 (.f64 2 alpha)) (.f64 beta beta)))))
(+.f64 (/.f64 2/9 beta) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 (-.f64 -5/9 (.f64 alpha 4/9)) (pow.f64 (+.f64 2 alpha) 2) (neg.f64 (.f64 (+.f64 4 (.f64 2 alpha)) (fma.f64 (-.f64 -5/9 (.f64 alpha 4/9)) (+.f64 4 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9))))) (pow.f64 beta 4)) (+.f64 (/.f64 1/3 (.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 (-.f64 -5/9 (.f64 alpha 4/9)) (+.f64 4 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9)) (pow.f64 beta 3))))) (.f64 4/9 (/.f64 (+.f64 2 alpha) (.f64 beta beta)))))
(/.f64 2/9 beta)
(-.f64 (+.f64 (.f64 2/9 (/.f64 1 beta)) (.f64 1/3 (/.f64 1 (pow.f64 beta 2)))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (+.f64 (/.f64 2/9 beta) (/.f64 1/3 (.f64 beta beta))) (.f64 -2/9 (/.f64 (+.f64 4 (.f64 2 alpha)) (.f64 beta beta))))
(+.f64 (/.f64 2/9 beta) (+.f64 (/.f64 1/3 (.f64 beta beta)) (/.f64 (+.f64 -8/9 (.f64 alpha -4/9)) (*.f64 beta beta))))
(-.f64 (+.f64 (.f64 2/9 (/.f64 1 beta)) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 1/3 (.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (.f64 1/3 (/.f64 1 (pow.f64 beta 2)))))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (+.f64 (/.f64 2/9 beta) (fma.f64 -2 (/.f64 (-.f64 1/3 (+.f64 8/9 (.f64 4/9 alpha))) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (fma.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (/.f64 1/3 (.f64 beta beta))))) (.f64 -4/9 (/.f64 (+.f64 2 alpha) (.f64 beta beta))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 (-.f64 -5/9 (.f64 alpha 4/9)) (pow.f64 beta 3)) (+.f64 2 alpha)) (fma.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (/.f64 1/3 (.f64 beta beta)))) (+.f64 (/.f64 2/9 beta) (/.f64 (+.f64 -8/9 (.f64 alpha -4/9)) (*.f64 beta beta))))
(-.f64 (+.f64 (.f64 2/9 (/.f64 1 beta)) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 1/3 (.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -2 (.f64 (-.f64 1/3 (.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha))) (.f64 -2/9 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))) (.f64 (-.f64 1/3 (.f64 4/9 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (.f64 1/3 (/.f64 1 (pow.f64 beta 2))))))) (.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (+.f64 (/.f64 2/9 beta) (fma.f64 -2 (/.f64 (-.f64 1/3 (+.f64 8/9 (.f64 4/9 alpha))) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (+.f64 2 alpha) (fma.f64 -2 (.f64 (+.f64 2 alpha) (-.f64 1/3 (+.f64 8/9 (.f64 4/9 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) -2/9))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1/3 (+.f64 8/9 (.f64 4/9 alpha))))) (pow.f64 beta 4)) (fma.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (/.f64 1/3 (.f64 beta beta)))))) (.f64 -4/9 (/.f64 (+.f64 2 alpha) (.f64 beta beta))))
(+.f64 (/.f64 2/9 beta) (+.f64 (fma.f64 -2 (.f64 (/.f64 (-.f64 -5/9 (.f64 alpha 4/9)) (pow.f64 beta 3)) (+.f64 2 alpha)) (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (+.f64 2 alpha) (fma.f64 -2 (.f64 (+.f64 2 alpha) (-.f64 -5/9 (.f64 alpha 4/9))) (.f64 (pow.f64 (+.f64 2 alpha) 2) -2/9))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 -5/9 (.f64 alpha 4/9)))) (pow.f64 beta 4)) (fma.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (/.f64 1/3 (.f64 beta beta))))) (/.f64 (+.f64 -8/9 (.f64 alpha -4/9)) (*.f64 beta beta))))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 beta) 2))
(+.f64 (.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/3 (.f64 2/9 beta)) (.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 2/9 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (.f64 (.f64 alpha (+.f64 4 (*.f64 2 beta))) (fma.f64 beta 2/9 1/3)) (pow.f64 (+.f64 2 beta) 4)) (/.f64 1/3 (pow.f64 (+.f64 2 beta) 2))))
(fma.f64 2/9 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 beta) 4)) (.f64 alpha (+.f64 4 (*.f64 2 beta)))) (/.f64 1/3 (pow.f64 (+.f64 2 beta) 2))))
(+.f64 (.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/3 (.f64 2/9 beta)) (.f64 (+.f64 4 (.f64 2 beta)) alpha)) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2/9 beta) 1/3) (pow.f64 (+.f64 4 (.f64 2 beta)) 2)) (pow.f64 (+.f64 beta 2) 6))) (.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(fma.f64 2/9 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (.f64 (.f64 alpha (+.f64 4 (.f64 2 beta))) (fma.f64 beta 2/9 1/3)) (pow.f64 (+.f64 2 beta) 4)) (fma.f64 -1 (.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 beta) 4)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 4 (.f64 2 beta)) 2) (fma.f64 beta 2/9 1/3)) (pow.f64 (+.f64 2 beta) 6)) (.f64 2/9 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (.f64 alpha alpha)) (/.f64 1/3 (pow.f64 (+.f64 2 beta) 2)))))
(fma.f64 2/9 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 beta) 4)) (.f64 alpha (+.f64 4 (.f64 2 beta)))) (fma.f64 -1 (.f64 alpha (.f64 alpha (fma.f64 -1 (.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 beta) 6)) (pow.f64 (+.f64 4 (.f64 2 beta)) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 beta) 4)) (.f64 2/9 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))) (/.f64 1/3 (pow.f64 (+.f64 2 beta) 2)))))
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1/3
(*.f64 2/9 beta)
(*.f64 beta 2/9)
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(fma.f64 beta 2/9 1/3)
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(/.f64 (sqrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) -1/9)) (/.f64 (fma.f64 2/9 beta -1/3) (sqrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) -1/9))))
(/.f64 (sqrt.f64 (fma.f64 4/81 (.f64 beta beta) -1/9)) (/.f64 (fma.f64 2/9 beta -1/3) (sqrt.f64 (fma.f64 4/81 (.f64 beta beta) -1/9))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/27 (.f64 8/729 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 1/27 (.f64 8/729 (pow.f64 beta 3))))) (/.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) (-.f64 1/9 (.f64 beta 2/27))) (cbrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 beta 3) 8/729) 1/27)) (cbrt.f64 (+.f64 (.f64 (pow.f64 beta 3) 8/729) 1/27))) (-.f64 (fma.f64 4/81 (.f64 beta beta) 1/9) (.f64 beta 2/27))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27)))
(.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 beta 3) 8/729) 1/27)) (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 beta 3) 8/729) 1/27)) (cbrt.f64 (+.f64 (.f64 (pow.f64 beta 3) 8/729) 1/27))) (-.f64 (fma.f64 4/81 (.f64 beta beta) 1/9) (*.f64 beta 2/27))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) -1/9)) (cbrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) -1/9))) (/.f64 (fma.f64 2/9 beta -1/3) (cbrt.f64 (+.f64 (.f64 4/81 (*.f64 beta beta)) -1/9))))
(.f64 (/.f64 (.f64 (cbrt.f64 (fma.f64 4/81 (.f64 beta beta) -1/9)) (cbrt.f64 (fma.f64 4/81 (.f64 beta beta) -1/9))) (fma.f64 2/9 beta -1/3)) (cbrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9)))
(.f64 (cbrt.f64 (fma.f64 4/81 (.f64 beta beta) -1/9)) (/.f64 (.f64 (cbrt.f64 (fma.f64 4/81 (.f64 beta beta) -1/9)) (cbrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9))) (fma.f64 2/9 beta -1/3)))
(/.f64 (neg.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) -1/9)) (neg.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (neg.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9)) (neg.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (+.f64 1/9 (.f64 (.f64 -4/81 beta) beta)) (neg.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (neg.f64 (+.f64 1/27 (.f64 8/729 (pow.f64 beta 3)))) (neg.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) (-.f64 1/9 (.f64 beta 2/27)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 beta 3) 8/729) 1/27)) (neg.f64 (-.f64 (fma.f64 4/81 (.f64 beta beta) 1/9) (*.f64 beta 2/27))))
(/.f64 (-.f64 -1/27 (.f64 (pow.f64 beta 3) 8/729)) (neg.f64 (-.f64 (fma.f64 4/81 (.f64 beta beta) 1/9) (*.f64 beta 2/27))))
(/.f64 (-.f64 1/9 (.f64 4/81 (.f64 beta beta))) (-.f64 1/3 (*.f64 2/9 beta)))
(/.f64 (+.f64 1/9 (.f64 -4/81 (.f64 beta beta))) (+.f64 1/3 (*.f64 -2/9 beta)))
(/.f64 (+.f64 1/9 (.f64 (.f64 -4/81 beta) beta)) (+.f64 1/3 (*.f64 beta -2/9)))
(/.f64 (/.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) -1/9) 1) (fma.f64 2/9 beta -1/3))
(/.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (fma.f64 2/9 beta -1/3))
(/.f64 (/.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) -1/9) (sqrt.f64 (fma.f64 2/9 beta -1/3))) (sqrt.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (/.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (sqrt.f64 (fma.f64 2/9 beta -1/3))) (sqrt.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (/.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) -1/9) (*.f64 (cbrt.f64 (fma.f64 2/9 beta -1/3)) (cbrt.f64 (fma.f64 2/9 beta -1/3)))) (cbrt.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (fma.f64 4/81 (.f64 beta beta) -1/9) (.f64 (cbrt.f64 (fma.f64 2/9 beta -1/3)) (*.f64 (cbrt.f64 (fma.f64 2/9 beta -1/3)) (cbrt.f64 (fma.f64 2/9 beta -1/3)))))
(/.f64 (/.f64 (+.f64 1/27 (.f64 8/729 (pow.f64 beta 3))) 1) (+.f64 (.f64 4/81 (.f64 beta beta)) (-.f64 1/9 (.f64 beta 2/27))))
(/.f64 (+.f64 (.f64 (pow.f64 beta 3) 8/729) 1/27) (-.f64 (fma.f64 4/81 (.f64 beta beta) 1/9) (*.f64 beta 2/27)))
(/.f64 (/.f64 (+.f64 1/27 (.f64 8/729 (pow.f64 beta 3))) (sqrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) (-.f64 1/9 (.f64 beta 2/27))))) (sqrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 beta 3) 8/729) 1/27) (sqrt.f64 (-.f64 (fma.f64 4/81 (.f64 beta beta) 1/9) (.f64 beta 2/27)))) (sqrt.f64 (-.f64 (fma.f64 4/81 (.f64 beta beta) 1/9) (*.f64 beta 2/27))))
(/.f64 (/.f64 (+.f64 1/27 (.f64 8/729 (pow.f64 beta 3))) (.f64 (cbrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) (-.f64 1/9 (.f64 beta 2/27)))) (cbrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) (-.f64 1/9 (.f64 beta 2/27)))))) (cbrt.f64 (+.f64 (.f64 4/81 (.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))
(/.f64 (+.f64 (.f64 (pow.f64 beta 3) 8/729) 1/27) (.f64 (cbrt.f64 (-.f64 (fma.f64 4/81 (.f64 beta beta) 1/9) (.f64 beta 2/27))) (.f64 (cbrt.f64 (-.f64 (fma.f64 4/81 (.f64 beta beta) 1/9) (.f64 beta 2/27))) (cbrt.f64 (-.f64 (fma.f64 4/81 (.f64 beta beta) 1/9) (*.f64 beta 2/27))))))
(pow.f64 (fma.f64 2/9 beta 1/3) 1)
(fma.f64 beta 2/9 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) 2)
(fma.f64 beta 2/9 1/3)
(pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 3)
(fma.f64 beta 2/9 1/3)
(pow.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 3) 1/3)
(fma.f64 beta 2/9 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2))
(sqrt.f64 (pow.f64 (fma.f64 beta 2/9 1/3) 2))
(log.f64 (exp.f64 (fma.f64 2/9 beta 1/3)))
(fma.f64 beta 2/9 1/3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/9 beta 1/3))))
(fma.f64 beta 2/9 1/3)
(cbrt.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 3))
(fma.f64 beta 2/9 1/3)
(expm1.f64 (log1p.f64 (fma.f64 2/9 beta 1/3)))
(fma.f64 beta 2/9 1/3)
(exp.f64 (log.f64 (fma.f64 2/9 beta 1/3)))
(fma.f64 beta 2/9 1/3)
(exp.f64 (*.f64 (log.f64 (fma.f64 2/9 beta 1/3)) 1))
(fma.f64 beta 2/9 1/3)
(log1p.f64 (expm1.f64 (fma.f64 2/9 beta 1/3)))
(fma.f64 beta 2/9 1/3)
(fma.f64 2/9 beta 1/3)
(fma.f64 beta 2/9 1/3)
(fma.f64 beta 2/9 1/3)
(fma.f64 1 (*.f64 2/9 beta) 1/3)
(fma.f64 beta 2/9 1/3)
(fma.f64 (sqrt.f64 (.f64 2/9 beta)) (sqrt.f64 (.f64 2/9 beta)) 1/3)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 beta 2/9)) 2) 1/3)
(+.f64 1/3 (pow.f64 (sqrt.f64 (*.f64 beta 2/9)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2/9 beta)) 2) (cbrt.f64 (.f64 2/9 beta)) 1/3)
(fma.f64 beta 2/9 1/3)

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

0.0b

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

✓

0.2b

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

Compiler

Compiled 58 to 39 computations (32.8% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`distribute-lft-neg-in`
732×	`distribute-rgt-neg-in`
370×	`+-commutative`
360×	`add-sqr-sqrt`
348×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	344	62
2	5329	62

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

Outputs

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

simplify123.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

728×	`associate-r`
654×	`*-commutative`
646×	`associate-l`
586×	`distribute-lft-in`
534×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	489	8808
1	1637	8314
2	7546	8310

Stop Event

1×	node limit

Counts

136 → 228

Calls

Call 1

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

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

eval1.3s (5.9%)

Compiler: Compiled 61999 to 45236 computations (27% saved)

prune921.0ms (4.1%)

Pruning

32 alts after pruning (23 fresh and 9 done)

	Pruned	Kept	Total
New	1760	7	1767
Fresh	1	16	17
Picked	0	1	1
Done	2	8	10
Total	1763	32	1795

Error

Counts

1795 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	36.0b	(pow.f64 beta -2)
	15.1b	(/.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))))
✓	15.1b	(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	0.1b	(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 3 beta)))))
	27.4b	(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 2 alpha) (neg.f64 (+.f64 3 alpha))))
✓	3.8b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	3.8b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	49.3b	(/.f64 (/.f64 (+.f64 alpha (.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	27.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	14.9b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	32.9b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	33.6b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
✓	29.8b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
	3.8b	(/.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha))))
	36.1b	(/.f64 (/.f64 1 beta) beta)
	34.5b	(/.f64 (-.f64 3 beta) (.f64 (+.f64 3 (+.f64 alpha beta)) (-.f64 9 (.f64 beta beta))))
✓	16.9b	(/.f64 (+.f64 (.f64 2/9 beta) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	15.2b	(/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	29.1b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓	34.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	27.1b	(/.f64 (.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (.f64 2 alpha))))
	47.8b	(/.f64 alpha (*.f64 beta beta))
	29.9b	(/.f64 1 (/.f64 (+.f64 3 (+.f64 alpha beta)) (/.f64 (-.f64 3 beta) (-.f64 9 (*.f64 beta beta)))))
✓	29.9b	(/.f64 1 (*.f64 (+.f64 3 beta) (+.f64 (+.f64 3 alpha) beta)))
	36.1b	(/.f64 1 (*.f64 beta beta))
	15.8b	(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	60.3b	(/.f64 2/9 beta)
✓	28.2b	(.f64 (/.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha))
	0.6b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
	33.6b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	50.1b	(.f64 (/.f64 1 (-.f64 (.f64 (.f64 (+.f64 3 beta) (+.f64 3 alpha)) (.f64 (+.f64 3 beta) (+.f64 3 alpha))) (.f64 (.f64 beta (+.f64 3 beta)) (.f64 beta (+.f64 3 beta))))) (.f64 (+.f64 3 beta) (+.f64 3 (-.f64 alpha beta))))
	55.8b	1/9

Compiler

Compiled 557 to 401 computations (28% saved)

regimes98.0ms (0.4%)

Counts

55 → 1

Calls

Call 1

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

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

Calls

3 calls:

28.0ms

alpha

27.0ms

beta

22.0ms

(/.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 1006 to 656 computations (34.8% saved)

regimes51.0ms (0.2%)

Counts

39 → 1

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	beta
19.0ms	alpha

Results

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

Compiler

Compiled 554 to 365 computations (34.1% saved)

regimes50.0ms (0.2%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	alpha
18.0ms	beta

Results

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

Compiler

Compiled 529 to 350 computations (33.8% saved)

regimes89.0ms (0.4%)

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

44.0ms	alpha
35.0ms	beta

Results

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

Compiler

Compiled 504 to 333 computations (33.9% saved)

bsearch9.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
8.0ms	1.2590982009326678e+42	9.012802999317416e+45

Results

7.0ms

48×

body

256

valid

Compiler

Compiled 192 to 139 computations (27.6% saved)

regimes74.0ms (0.3%)

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

32.0ms	beta
32.0ms	alpha

Results

Error	Segments	Branch
1.2b	2	`alpha`
1.0b	2	`beta`

Compiler

Compiled 479 to 317 computations (33.8% saved)

bsearch5.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
5.0ms	1020195.611875511	69835842199392.16

Results

4.0ms

32×

body

256

valid

Compiler

Compiled 134 to 98 computations (26.9% saved)

regimes69.0ms (0.3%)

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

30.0ms	alpha
29.0ms	beta

Results

Error	Segments	Branch
1.2b	2	`alpha`
1.0b	2	`beta`

Compiler

Compiled 414 to 275 computations (33.6% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	69835842199392.16	947902429068350200.0

Results

16.0ms

112×

body

256

valid

Compiler

Compiled 350 to 259 computations (26% saved)

regimes80.0ms (0.4%)

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

41.0ms	alpha
31.0ms	beta

Results

Error	Segments	Branch
10.3b	2	`alpha`
1.3b	2	`beta`

Compiler

Compiled 357 to 237 computations (33.6% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	0.028202474501729673	49430.96076794737

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 429 to 325 computations (24.2% saved)

regimes73.0ms (0.3%)

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

38.0ms	alpha
28.0ms	beta

Results

Error	Segments	Branch
10.6b	2	`alpha`
1.3b	2	`beta`

Compiler

Compiled 281 to 185 computations (34.2% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	0.028202474501729673	49430.96076794737

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 411 to 307 computations (25.3% saved)

regimes63.0ms (0.3%)

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

32.0ms	alpha
26.0ms	beta

Results

Error	Segments	Branch
10.6b	2	`alpha`
1.6b	2	`beta`

Compiler

Compiled 244 to 159 computations (34.8% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	0.028202474501729673	49430.96076794737

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 402 to 298 computations (25.9% saved)

regimes61.0ms (0.3%)

Counts

23 → 2

Calls

Call 1

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

Calls

2 calls:

32.0ms	alpha
22.0ms	beta

Results

Error	Segments	Branch
11.3b	2	`alpha`
2.0b	2	`beta`

Compiler

Compiled 227 to 147 computations (35.2% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	0.028202474501729673	49430.96076794737

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 348 to 253 computations (27.3% saved)

regimes51.0ms (0.2%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	alpha
20.0ms	beta

Results

Error	Segments	Branch
11.7b	2	`alpha`
2.4b	2	`beta`

Compiler

Compiled 176 to 111 computations (36.9% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	0.028202474501729673	49430.96076794737

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 312 to 226 computations (27.6% saved)

regimes38.0ms (0.2%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	beta
17.0ms	alpha

Results

Error	Segments	Branch
27.5b	2	`alpha`
27.3b	2	`beta`

Compiler

Compiled 116 to 74 computations (36.2% saved)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	69835842199392.16	947902429068350200.0

Results

18.0ms

128×

body

256

valid

Compiler

Compiled 266 to 196 computations (26.3% saved)

regimes33.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	alpha
15.0ms	beta

Results

Error	Segments	Branch
27.5b	2	`alpha`
27.4b	2	`beta`

Compiler

Compiled 94 to 60 computations (36.2% saved)

bsearch65.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
65.0ms	69835842199392.16	947902429068350200.0

Results

64.0ms

128×

body

256

valid

Compiler

Compiled 234 to 172 computations (26.5% saved)

regimes23.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	beta
7.0ms	alpha

Results

Error	Segments	Branch
33.6b	1	`alpha`
27.5b	2	`beta`

Compiler

Compiled 72 to 44 computations (38.9% saved)

bsearch55.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
54.0ms	0.028202474501729673	49430.96076794737

Results

53.0ms

144×

body

256

valid

Compiler

Compiled 168 to 127 computations (24.4% saved)

regimes21.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	beta
6.0ms	alpha

Results

Error	Segments	Branch
34.6b	1	`alpha`
28.5b	2	`beta`

Compiler

Compiled 56 to 34 computations (39.3% saved)

bsearch26.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	0.028202474501729673	49430.96076794737

Results

24.0ms

144×

body

256

valid

Compiler

Compiled 168 to 127 computations (24.4% saved)

regimes18.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	beta
5.0ms	alpha

Results

Error	Segments	Branch
36.1b	1	`alpha`
30.0b	2	`beta`

Compiler

Compiled 42 to 27 computations (35.7% saved)

bsearch61.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
61.0ms	0.028202474501729673	49430.96076794737

Results

59.0ms

144×

body

256

valid

Compiler

Compiled 150 to 118 computations (21.3% saved)

regimes16.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	beta
6.0ms	alpha

Results

Error	Segments	Branch
36.1b	1	`alpha`
30.1b	2	`beta`

Compiler

Compiled 30 to 19 computations (36.7% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	0.028202474501729673	49430.96076794737

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 150 to 118 computations (21.3% saved)

regimes190.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

185.0ms	beta
4.0ms	alpha

Results

Error	Segments	Branch
55.7b	1	`alpha`
55.7b	1	`beta`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes8.0ms (0%)

Accuracy

Total -6.7b remaining (-12%)

Threshold costs -6.7b (-12%)

Counts

3 → 1

Calls

Call 1

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

Outputs
1/9

Calls

2 calls:

4.0ms	alpha
3.0ms	beta

Results

Error	Segments	Branch
55.8b	1	`alpha`
55.8b	1	`beta`

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify210.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

58×	`+-commutative`
38×	`*-commutative`
22×	`sub-neg`
16×	`neg-mul-1`
16×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	131	1349
1	175	1341
2	202	1341
3	229	1341
4	239	1341
5	241	1341

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 999999999999999929757289024535551219930759168) (/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (.f64 2 alpha)))))
(if (<=.f64 beta 10000000000) (/.f64 (/.f64 1 (+.f64 beta 2)) (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha)))) (/.f64 (.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (*.f64 2 alpha)))))
(if (<=.f64 beta 160000000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (*.f64 2 alpha)))))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 2 alpha) (neg.f64 (+.f64 3 alpha)))) (/.f64 (.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (*.f64 2 alpha)))))
(if (<=.f64 beta 2206763817411543/1125899906842624) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 2 alpha) (neg.f64 (+.f64 3 alpha)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3602879701896397/562949953421312) (/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 17) (/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3715469692580659/562949953421312) (/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 12000000000000000) (/.f64 1 (*.f64 (+.f64 3 beta) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 28000000000000000) (/.f64 1 (*.f64 (+.f64 3 beta) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 6980579422424269/2251799813685248) 1/9 (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 3602879701896397/1125899906842624) 1/9 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 3) 1/9 (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 3) 1/9 (/.f64 1 (*.f64 beta beta)))
(/.f64 1/3 (+.f64 3 alpha))
1/9

Outputs
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 999999999999999929757289024535551219930759168) (/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (.f64 2 alpha)))))
(if (<=.f64 beta 999999999999999929757289024535551219930759168) (/.f64 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 3 (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (.f64 (-.f64 -1 alpha) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta)))) (-.f64 -3 (+.f64 beta (.f64 alpha 2)))))
(if (<=.f64 beta 999999999999999929757289024535551219930759168) (/.f64 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 3 (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (.f64 (-.f64 -1 alpha) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta)))) (+.f64 -3 (-.f64 (.f64 alpha -2) beta))))
(if (<=.f64 beta 10000000000) (/.f64 (/.f64 1 (+.f64 beta 2)) (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta)) (+.f64 beta (+.f64 3 alpha)))) (/.f64 (.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (*.f64 2 alpha)))))
(if (<=.f64 beta 10000000000) (/.f64 (/.f64 1 (+.f64 2 beta)) (.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (.f64 (-.f64 -1 alpha) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta)))) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))))
(if (<=.f64 beta 10000000000) (/.f64 (/.f64 1 (+.f64 2 beta)) (.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (.f64 (-.f64 -1 alpha) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta)))) (+.f64 -3 (-.f64 (*.f64 alpha -2) beta))))
(if (<=.f64 beta 160000000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (*.f64 2 alpha)))))
(if (<=.f64 beta 160000000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 3 (+.f64 alpha beta)))) (/.f64 (.f64 (-.f64 -1 alpha) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta)))) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))))
(if (<=.f64 beta 160000000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 3 (+.f64 alpha beta)))) (/.f64 (.f64 (-.f64 -1 alpha) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta)))) (+.f64 -3 (-.f64 (*.f64 alpha -2) beta))))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 2 alpha) (neg.f64 (+.f64 3 alpha)))) (/.f64 (.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (*.f64 2 alpha)))))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 alpha 2) (+.f64 -3 (neg.f64 alpha)))) (/.f64 (.f64 (-.f64 -1 alpha) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta)))) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 alpha 2) (-.f64 -3 alpha))) (/.f64 (.f64 (-.f64 -1 alpha) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta)))) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 alpha 2) (-.f64 -3 alpha))) (/.f64 (.f64 (-.f64 -1 alpha) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta)))) (+.f64 -3 (-.f64 (*.f64 alpha -2) beta))))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 alpha 3) (-.f64 -2 alpha))) (/.f64 (.f64 (-.f64 -1 alpha) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta)))) (+.f64 -3 (-.f64 (*.f64 alpha -2) beta))))
(if (<=.f64 beta 2206763817411543/1125899906842624) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 2 alpha) (neg.f64 (+.f64 3 alpha)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 2206763817411543/1125899906842624) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 alpha 2) (+.f64 -3 (neg.f64 alpha)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 2206763817411543/1125899906842624) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 alpha 2) (-.f64 -3 alpha))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 2206763817411543/1125899906842624) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 alpha 3) (-.f64 -2 alpha))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3602879701896397/562949953421312) (/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3602879701896397/562949953421312) (/.f64 (+.f64 (.f64 alpha 2/9) 1/3) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 17) (/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 17) (/.f64 (+.f64 (.f64 alpha 2/9) 1/3) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3715469692580659/562949953421312) (/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3715469692580659/562949953421312) (/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 12000000000000000) (/.f64 1 (*.f64 (+.f64 3 beta) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 12000000000000000) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 28000000000000000) (/.f64 1 (*.f64 (+.f64 3 beta) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 28000000000000000) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 6980579422424269/2251799813685248) 1/9 (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 6980579422424269/2251799813685248) 1/9 (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 3602879701896397/1125899906842624) 1/9 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 3602879701896397/1125899906842624) 1/9 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)))
(if (<=.f64 beta 3) 1/9 (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 3) 1/9 (/.f64 1 (*.f64 beta beta)))
(/.f64 1/3 (+.f64 3 alpha))
(/.f64 1/3 (+.f64 alpha 3))
1/9

Compiler

Compiled 521 to 373 computations (28.4% saved)

soundness1.1s (4.8%)

Algorithm

4×	egg-herbie

Rules

8048×	`associate-+r+`
2246×	`associate-/l*`
1524×	`associate-r`
1424×	`associate-l`
1400×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	38	75
2	117	75
3	494	73
4	2614	73
5	3312	73
6	3575	73
7	4028	73
8	4449	73
9	4462	73
10	4697	73
11	4824	73
12	4967	73
13	5267	73
14	5933	73
15	6131	73
16	6154	73
17	6161	73
18	6168	73
19	6175	73
20	6182	73
21	6189	73
22	6196	73
23	6203	73
24	7340	73
25	7347	73
26	7354	73
27	7361	73
28	7368	73
29	7375	73
30	7382	73
31	7389	73
32	7396	73
33	7403	73
34	7410	73
35	7417	73
36	7424	73
37	7431	73
38	7438	73
39	7445	73
0	961	25429
1	3441	25237
0	920	27043
1	3283	26593
0	823	23173
1	2933	22903

Stop Event

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

Compiler

Compiled 859 to 584 computations (32% saved)

end365.0ms (1.6%)

Compiler: Compiled 539 to 370 computations (31.4% saved)