Details

analyze55.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.4s (6.3%)

Results

1.4s

8256×

body

256

valid

Bogosity

preprocess352.0ms (1.6%)

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)

simplify619.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

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)

prune14.0ms (0.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	3	6	9
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	7	10

Error

0.1b

Counts

10 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.4b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
▶	5.4b	(/.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))))
▶	0.2b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
▶	5.4b	(/.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))))
	9.7b	(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
▶	3.0b	(/.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))))

Compiler

Compiled 350 to 234 computations (33.1% saved)

localize36.0ms (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)

series26.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite112.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

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

simplify175.0ms (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)))
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(/.f64 (+.f64 beta 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 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))))
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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 (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))
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 beta 2) (+.f64 beta 1))
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(/.f64 alpha (+.f64 beta 1))
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(/.f64 alpha (+.f64 beta 1))
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(+.f64 2 alpha)
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1
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1))
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1
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(.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 1 (-.f64 -1 beta)))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) 1) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) -1)
(neg.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (pow.f64 (+.f64 1 beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.0b	(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))
✓	0.1b	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1))
✓	3.0b	(/.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))))

Compiler

Compiled 87 to 53 computations (39.1% saved)

series12.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite116.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`associate-+l+`
492×	`+-commutative`
446×	`add-sqr-sqrt`
436×	`pow1`
436×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	142
1	422	142
2	6874	142

Stop Event

1×	node limit

Counts

4 → 192

Calls

Call 1

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

Outputs
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simplify179.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1708×	`associate-r`
1588×	`associate-l`
1410×	`+-commutative`
1154×	`associate-+r+`
878×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	959	23816
1	3409	23152

Stop Event

1×	node limit

Counts

288 → 509

Calls

Call 1

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

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

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	3.0b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	4.1b	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 85 to 53 computations (37.6% saved)

series6.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	117
1	419	117
2	6742	117

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify143.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1150×	`+-commutative`
1090×	`associate-r`
976×	`associate-/l*`
968×	`associate-l`
884×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	806	19042
1	2733	18694

Stop Event

1×	node limit

Counts

232 → 377

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

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

localize32.0ms (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)))

✓

3.0b

(/.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))))

✓

4.0b

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

rewrite125.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	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 alpha beta) (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 1) (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (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 egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 (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 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))))))))

simplify154.0ms (0.7%)

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)))
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(exp.f64 (log.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)))))
(exp.f64 (.f64 (log.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))
(log1p.f64 (expm1.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)))))
(+.f64 (.f64 alpha alpha) (+.f64 (.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (.f64 alpha alpha) (+.f64 (.f64 (+.f64 beta 3) alpha) (*.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 beta 2) (+.f64 alpha (+.f64 beta 3))) (.f64 alpha (+.f64 alpha (+.f64 beta 3))))
(+.f64 (.f64 alpha (+.f64 beta 2)) (+.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3)) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (.f64 alpha (+.f64 beta 2)) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (.f64 (+.f64 alpha beta) alpha) (+.f64 (.f64 3 alpha) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha beta)) (.f64 (+.f64 alpha (+.f64 beta 3)) 2))
(+.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) beta) (+.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) 2) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha beta)))
(+.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) 2) (+.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) beta) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 3)))
(+.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha))
(+.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha beta)) (.f64 (+.f64 alpha (+.f64 beta 2)) 3))
(+.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) 3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha beta)))
(+.f64 (.f64 alpha (+.f64 alpha beta)) (+.f64 (.f64 alpha 3) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (.f64 alpha 3) (+.f64 (.f64 alpha (+.f64 alpha beta)) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (.f64 (+.f64 beta 2) (+.f64 alpha beta)) (+.f64 (.f64 (+.f64 beta 2) 3) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (.f64 (+.f64 beta 2) 3) (+.f64 (.f64 (+.f64 beta 2) (+.f64 alpha beta)) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))) (.f64 2 (+.f64 alpha (+.f64 beta 3))))
(+.f64 (.f64 beta (+.f64 alpha (+.f64 beta 3))) (+.f64 (.f64 2 (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (.f64 2 (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))))
(+.f64 (.f64 2 (+.f64 alpha (+.f64 beta 3))) (+.f64 (.f64 beta (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 3))) 1) (.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) 1))
(+.f64 (.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) 1) (.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 3))) 1))
(+.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2))))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2))) (.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(+.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) (.f64 3 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (.f64 3 (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(+.f64 (.f64 3 alpha) (+.f64 (.f64 (+.f64 alpha beta) alpha) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (.f64 (+.f64 alpha beta) (+.f64 beta 2)) (+.f64 (.f64 3 (+.f64 beta 2)) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (.f64 3 (+.f64 beta 2)) (+.f64 (.f64 (+.f64 alpha beta) (+.f64 beta 2)) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (+.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 3))) (.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 beta 3)))
(+.f64 (+.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 3))) (.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.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)))))
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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)))

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)
✓	0.0b	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
✓	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
✓	4.0b	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1)))

Compiler

Compiled 124 to 60 computations (51.6% saved)

series9.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite107.0ms (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	196
1	368	160
2	5911	160

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) (.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 (fma.f64 alpha beta (+.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)))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 alpha (+.f64 beta 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 alpha (+.f64 beta 1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 alpha)) (-.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 beta)) (-.f64 1 (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (-.f64 (/.f64 (.f64 beta beta) (-.f64 alpha beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 alpha (+.f64 beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta -2))) (-.f64 (/.f64 4 (+.f64 alpha (+.f64 beta -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 4 (+.f64 alpha beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta -2)))) (/.f64 4 (+.f64 alpha (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 3 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta))) (/.f64 (.f64 beta beta) (-.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 alpha (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha (+.f64 beta 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1) (/.f64 1 (+.f64 alpha (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta))) (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1) (+.f64 alpha (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1)) (neg.f64 (+.f64 alpha (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (-.f64 (+.f64 alpha beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (-.f64 -1 (+.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) 27) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (.f64 (+.f64 alpha beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 alpha (+.f64 beta 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 alpha beta) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 beta (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) 3)))))

simplify157.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	952	25474
1	3272	25186

Stop Event

1×	node limit

Counts

260 → 488

Calls

Call 1

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

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

eval2.7s (12.4%)

Compiler: Compiled 125249 to 88849 computations (29.1% saved)

prune1.1s (5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	2379	20	2399
Fresh	1	0	1
Picked	1	0	1
Done	4	0	4
Total	2385	20	2405

Error

Counts

2405 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	26.8b	(/.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 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta))))))
	5.4b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	5.1b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	62.5b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
	22.8b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	26.7b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1)))) (+.f64 alpha (+.f64 beta 3)))
▶	0.2b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	27.7b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	14.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	33.9b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
	28.5b	(/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (.f64 beta beta)) (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 alpha beta)))) (/.f64 (+.f64 1 alpha) (/.f64 (.f64 beta beta) (+.f64 4 (.f64 2 alpha))))) (+.f64 alpha (+.f64 beta 3)))
	8.6b	(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
	61.9b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
▶	26.1b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	30.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	0.2b	(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
▶	3.0b	(/.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	2.5b	(.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 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
	0.2b	(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 960 to 672 computations (30% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 87 to 58 computations (33.3% saved)

series14.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

472×	`+-commutative`
458×	`associate-+l+`
436×	`add-sqr-sqrt`
426×	`pow1`
426×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	166
1	415	154
2	6592	154

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 1) (.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) (.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -1 (neg.f64 alpha)) (+.f64 3 (+.f64 alpha beta))) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 2 (+.f64 alpha beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 3 (+.f64 alpha 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 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) 2) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) 3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 1) (/.f64 1 (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (+.f64 alpha 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 (+.f64 alpha 1) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (-.f64 alpha beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (+.f64 3 (+.f64 alpha beta)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 alpha beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))))))))
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simplify283.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1672×	`associate-/l*`
1384×	`associate-/r*`
1360×	`+-commutative`
1030×	`associate-+r+`
1020×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	999	25124
1	3630	24704

Stop Event

1×	node limit

Counts

264 → 481

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify103.0ms (0.5%)

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))

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 52 to 30 computations (42.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

66 → 144

Calls

Call 1

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

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

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha))
✓	0.0b	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha))
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	3.0b	(/.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 87 to 58 computations (33.3% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite175.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`associate-+l+`
518×	`+-commutative`
446×	`add-sqr-sqrt`
442×	`associate-+r+`
436×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	123
1	422	123
2	6885	123

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

Inputs

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

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (+.f64 3 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 1 (+.f64 3 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 alpha (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (*.f64 alpha (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 1) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 alpha (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 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simplify142.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1430×	`associate-r`
1252×	`associate-l`
1178×	`+-commutative`
946×	`*-commutative`
918×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	803	20485
1	2812	20043

Stop Event

1×	node limit

Counts

209 → 400

Calls

Call 1

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

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

localize66.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 119 to 77 computations (35.3% saved)

series11.0ms (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 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	beta	@	-inf	(/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta)))))
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
0.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	220
1	524	182

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

Outputs
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beta)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))))))

simplify179.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1650×	`associate-r`
1462×	`associate-l`
1404×	`+-commutative`
1068×	`associate-+r+`
796×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1009	27921
1	3571	27275

Stop Event

1×	node limit

Counts

293 → 524

Calls

Call 1

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

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

eval2.2s (10.3%)

Compiler: Compiled 89863 to 65292 computations (27.3% saved)

prune903.0ms (4.2%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1833	16	1849
Fresh	6	9	15
Picked	0	1	1
Done	3	1	4
Total	1842	27	1869

Error

Counts

1869 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	31.9b	(pow.f64 beta -2)
	26.8b	(/.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 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta))))))
	5.4b	(/.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))))
	23.8b	(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
	5.1b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	22.8b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓	0.2b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	27.7b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	62.6b	(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
▶	14.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	33.9b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
	27.5b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
	30.7b	(/.f64 (+.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (neg.f64 (/.f64 (-.f64 (-.f64 -1 alpha) (.f64 (.f64 -2 (+.f64 1 alpha)) (+.f64 2 alpha))) (*.f64 beta beta)))) (+.f64 alpha (+.f64 beta 3)))
	26.1b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
✓	30.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	61.7b	(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
▶	0.2b	(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
	14.6b	(/.f64 (.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	9.7b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) (.f64 (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))))
	42.1b	(/.f64 alpha (*.f64 beta beta))
▶	27.7b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	32.1b	(/.f64 1 (*.f64 beta beta))
▶	62.2b	(/.f64 1 alpha)
	14.5b	(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 2 alpha)))
	28.0b	(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))
▶	0.2b	(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
	28.3b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))

Compiler

Compiled 998 to 709 computations (29% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))
✓	0.1b	(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta)))
✓	0.1b	(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
✓	17.5b	(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta))

Compiler

Compiled 97 to 56 computations (42.3% saved)

series20.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	-inf	(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))
3.0ms	beta	@	-inf	(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta)))
1.0ms	alpha	@	-inf	(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
1.0ms	alpha	@	0	(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta)))
1.0ms	alpha	@	-inf	(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta))

rewrite128.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`+-commutative`
446×	`add-sqr-sqrt`
436×	`pow1`
436×	`*-un-lft-identity`
418×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	196
1	423	160
2	6704	160

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

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

Algorithm

1×	egg-herbie

Rules

1520×	`associate-/r*`
1206×	`associate-+r+`
1084×	`associate-+l+`
1070×	`associate-*r/`
958×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1072	27859
1	3834	27447

Stop Event

1×	node limit

Counts

273 → 491

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 21 computations (25% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite112.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 218

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta beta) (+.f64 (*.f64 beta 3) (+.f64 (*.f64 beta 2) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (+.f64 beta 3)) (+.f64 (*.f64 beta 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 beta 2) 6) (*.f64 beta (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta 3) (+.f64 (*.f64 beta beta) (+.f64 (*.f64 beta 2) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta 2) (+.f64 6 (*.f64 beta (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (+.f64 beta 2)) (+.f64 (*.f64 beta 3) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (+.f64 (*.f64 beta 2) (*.f64 beta (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 beta 3) 6) (*.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 beta (+.f64 beta 3)) (*.f64 beta 2)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 beta (+.f64 beta 3)) 6) (*.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (*.f64 beta 2) 6) (*.f64 beta beta)) (*.f64 beta 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (*.f64 beta 2) 6) (*.f64 beta 3)) (*.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 beta (+.f64 beta 2))) (*.f64 1 (+.f64 (*.f64 beta 3) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (+.f64 (*.f64 beta 3) 6)) (*.f64 1 (*.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta (+.f64 beta 2)) 1) (*.f64 (+.f64 (*.f64 beta 3) 6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 beta 3) 6) 1) (*.f64 (*.f64 beta (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 beta (neg.f64 (+.f64 beta 3)))) (neg.f64 (+.f64 (*.f64 beta -2) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 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6))))))

simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

242 → 359

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

0.0b

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

✓

0.4b

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

Compiler

Compiled 66 to 40 computations (39.4% saved)

series43.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
2.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`associate-+l+`
494×	`+-commutative`
414×	`add-sqr-sqrt`
404×	`pow1`
404×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	392	74
2	6251	74

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs

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

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

simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

826×	`distribute-lft-in`
780×	`associate-r`
760×	`distribute-rgt-in`
692×	`*-commutative`
610×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	483	10184
1	1705	9494

Stop Event

1×	node limit

Counts

122 → 199

Calls

Call 1

Inputs
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (.f64 alpha (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (.f64 alpha (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 beta)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)))))
(+.f64 (.f64 alpha (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 7 (.f64 2 beta)) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 beta)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3))) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 beta)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 6 (.f64 2 beta)) (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 5) (+.f64 beta 2)) (+.f64 (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (.f64 2 beta)))) (.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 6 (*.f64 2 beta)) (pow.f64 alpha 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 beta)) (+.f64 (.f64 (+.f64 beta 5) (+.f64 beta 2)) (+.f64 (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (.f64 2 beta)))) (.f64 2 (+.f64 beta 3)))))) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 (.f64 (+.f64 beta 5) (+.f64 beta 2)) (.f64 2 (+.f64 beta 3))))))) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 5) (+.f64 beta 2)) (+.f64 (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (.f64 2 beta)))) (.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 6 (.f64 2 beta)) (pow.f64 alpha 3))))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta (+.f64 (.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta (+.f64 (.f64 -1 (-.f64 (.f64 -1 (+.f64 beta 3)) 2)) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 (.f64 -2 (+.f64 beta 3)) (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 (+.f64 beta 3)) 2)))) (.f64 (+.f64 beta (+.f64 (.f64 -1 (-.f64 (.f64 -1 (+.f64 beta 3)) 2)) 2)) (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (-.f64 (.f64 -1 (+.f64 beta 3)) 2)) (+.f64 beta 2)))))) (pow.f64 alpha 4))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta (+.f64 (.f64 -1 (-.f64 (.f64 -1 (+.f64 beta 3)) 2)) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -2 (+.f64 beta 3)) (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 (+.f64 beta 3)) 2))) (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (-.f64 (.f64 -1 (+.f64 beta 3)) 2)) (+.f64 beta 2))))) (pow.f64 alpha 5)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 5))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 -2 (+.f64 beta 3)) (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 (+.f64 beta 3)) 2)))) (.f64 (+.f64 1 (.f64 -1 (+.f64 beta (+.f64 (.f64 -1 (-.f64 (.f64 -1 (+.f64 beta 3)) 2)) 2)))) (+.f64 (.f64 -1 (-.f64 (.f64 -1 (+.f64 beta 3)) 2)) (+.f64 beta 2)))) (+.f64 beta (+.f64 (.f64 -1 (-.f64 (.f64 -1 (+.f64 beta 3)) 2)) 2))) (pow.f64 alpha 5)) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 (.f64 -2 (+.f64 beta 3)) (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 (+.f64 beta 3)) 2)))) (.f64 (+.f64 beta (+.f64 (.f64 -1 (-.f64 (.f64 -1 (+.f64 beta 3)) 2)) 2)) (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (-.f64 (.f64 -1 (+.f64 beta 3)) 2)) (+.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 5 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 3) (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 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 3) (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 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 3)))) (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 5 (.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)))
(+.f64 (/.f64 1 (.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 beta 3) (+.f64 2 alpha))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (+.f64 2 alpha))) (.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 2 alpha)))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (+.f64 2 alpha))) (.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 beta 3) (+.f64 2 alpha)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 5 (.f64 2 alpha)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (+.f64 2 alpha))) (.f64 (+.f64 1 alpha) (+.f64 3 alpha))))) (.f64 -1 (.f64 (+.f64 1 alpha) (.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 3 alpha))))) (pow.f64 beta 5)))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)))
(+.f64 (/.f64 1 (.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (pow.f64 beta 5) (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 3 alpha))) (*.f64 (pow.f64 beta 5) (+.f64 2 alpha)))))))))
1/2
(+.f64 1/2 (*.f64 1/4 alpha))
(+.f64 1/2 (+.f64 (.f64 1/4 alpha) (.f64 -1/8 (pow.f64 alpha 2))))
(+.f64 1/2 (+.f64 (.f64 1/4 alpha) (+.f64 (.f64 -1/8 (pow.f64 alpha 2)) (*.f64 1/16 (pow.f64 alpha 3)))))
1
(-.f64 1 (/.f64 1 alpha))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 alpha))
(-.f64 (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)))
1
(-.f64 1 (/.f64 1 alpha))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 alpha))
(-.f64 (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))))) 1)
(.f64 1 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (+.f64 1 alpha) (.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (+.f64 1 alpha) (/.f64 1 (.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))) 1)
(.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))
(.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))
(.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (neg.f64 (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))
(.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 2))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))) 2)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 alpha 2)) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 2))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (-.f64 alpha (+.f64 2 beta)))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (+.f64 alpha (+.f64 2 beta))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 alpha 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (/.f64 1 (+.f64 alpha 2)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))) 2)) (/.f64 (/.f64 1 (+.f64 alpha 2)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2) (+.f64 alpha (+.f64 2 beta))) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2) (sqrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 2)))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (neg.f64 (+.f64 alpha (+.f64 2 beta))))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))) 1)
(*.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(.f64 (sqrt.f64 (+.f64 1 alpha)) (.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 1 alpha))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -2 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 alpha 2))))
(.f64 (/.f64 (+.f64 1 alpha) (-.f64 4 (.f64 alpha alpha))) (-.f64 2 alpha))
(.f64 (/.f64 (+.f64 1 alpha) (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (.f64 alpha (-.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha 2) (+.f64 1 alpha)) -1)
(neg.f64 (/.f64 (+.f64 1 alpha) (-.f64 -2 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 alpha 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 2))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))

Outputs
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (.f64 alpha (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(fma.f64 alpha (-.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 1/4 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (.f64 2 (.f64 beta 2)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(fma.f64 alpha (+.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (.f64 beta 4))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) -1/4)) (/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 (.f64 alpha (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 beta)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)))))
(+.f64 (fma.f64 alpha (-.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 1/4 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (.f64 2 (.f64 beta 2)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (.f64 (fma.f64 1/2 (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (.f64 2 (.f64 beta 2)))) (+.f64 beta 3)) (/.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 1/4 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (.f64 2 (.f64 beta 2)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2))) (/.f64 (.f64 1/4 (+.f64 (.f64 beta 2) 7)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha))))
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1/2
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(fma.f64 alpha 1/4 1/2)
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1
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))) 2))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha))) 2) (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha))))))))
(pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))) 1)
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))) 2)
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))) 3)
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))) 3) 1/3)
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 2)))) -1)
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (neg.f64 (+.f64 alpha (+.f64 2 beta))))))
(.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 alpha)) (/.f64 1 (.f64 (+.f64 (+.f64 beta 3) alpha) (neg.f64 (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (-.f64 -1 alpha) (.f64 (+.f64 beta (+.f64 3 alpha)) (.f64 (+.f64 (-.f64 -2 alpha) (neg.f64 beta)) (+.f64 2 alpha))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))) 2))
(fabs.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha))))))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))) 3))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))) 3)))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))) 1)
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 alpha 2)))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 1)
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(.f64 (sqrt.f64 (+.f64 1 alpha)) (.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 alpha 2))))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 alpha 2))))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 1 alpha))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -2 alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 alpha))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 alpha))) (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (+.f64 2 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (cbrt.f64 (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2))
(.f64 (/.f64 (+.f64 1 alpha) (-.f64 4 (.f64 alpha alpha))) (-.f64 2 alpha))
(.f64 (/.f64 (+.f64 alpha 1) (-.f64 4 (.f64 alpha alpha))) (-.f64 2 alpha))
(.f64 (/.f64 (+.f64 1 alpha) (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (.f64 alpha (-.f64 alpha 2))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) 8)) (+.f64 4 (.f64 alpha (+.f64 alpha -2))))
(/.f64 (+.f64 alpha 1) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 alpha 2)))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (cbrt.f64 (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha 2)))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 alpha))) (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (+.f64 2 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2)))
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 1)
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2)
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 3)
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3) 1/3)
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(pow.f64 (/.f64 (+.f64 alpha 2) (+.f64 1 alpha)) -1)
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(neg.f64 (/.f64 (+.f64 1 alpha) (-.f64 -2 alpha)))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -2 alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) 2))
(fabs.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 alpha 2) 3)))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 2))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 2 alpha))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (+.f64 2 alpha))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 2))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 2 alpha))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (+.f64 2 alpha))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 104 to 71 computations (31.7% saved)

series19.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	inf	(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
3.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2)))
2.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2)))
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2)))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2)))

rewrite120.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	184
1	442	172
2	6965	172

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (.f64 (+.f64 1 alpha) (+.f64 1 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (.f64 (+.f64 1 alpha) (+.f64 1 beta)))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule 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simplify179.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1282×	`associate-/r*`
1280×	`associate-+r+`
1208×	`associate-+l+`
806×	`associate-*r/`
738×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1031	28068
1	3676	27792

Stop Event

1×	node limit

Counts

272 → 474

Calls

Call 1

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

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

eval2.2s (10.2%)

Compiler: Compiled 76769 to 57083 computations (25.6% saved)

prune519.0ms (2.4%)

Pruning

35 alts after pruning (30 fresh and 5 done)

	Pruned	Kept	Total
New	1650	16	1666
Fresh	6	14	20
Picked	1	0	1
Done	1	5	6
Total	1658	35	1693

Error

Counts

1693 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	31.9b	(pow.f64 beta -2)
	26.8b	(/.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 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta))))))
	5.4b	(/.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))))
	23.8b	(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
	5.1b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	22.8b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓	0.2b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	27.7b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	34.0b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
	33.9b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
▶	0.2b	(/.f64 (/.f64 1 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) (-.f64 -1 beta)))) (+.f64 alpha (+.f64 beta 3)))
	27.5b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
	31.1b	(/.f64 (-.f64 3 beta) (.f64 (+.f64 beta 2) (-.f64 9 (.f64 beta beta))))
	14.5b	(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
✓	30.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
▶	14.5b	(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓	0.2b	(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
▶	5.0b	(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
	14.5b	(/.f64 (.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 1 alpha)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	9.7b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) (.f64 (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))))
	42.1b	(/.f64 alpha (*.f64 beta beta))
	56.1b	(/.f64 1 (+.f64 6 (*.f64 beta 5)))
✓	27.7b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	31.6b	(/.f64 1 (*.f64 beta (+.f64 beta 5)))
	32.1b	(/.f64 1 (*.f64 beta beta))
	61.6b	(/.f64 1 (*.f64 alpha alpha))
✓	62.2b	(/.f64 1 alpha)
▶	14.9b	(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
▶	58.1b	(+.f64 (*.f64 -5/36 beta) 1/6)
	5.0b	(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
	5.0b	(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
	28.0b	(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))
	27.8b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
	28.3b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	57.3b	1/6

Compiler

Compiled 1134 to 823 computations (27.4% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 119 to 82 computations (31.1% saved)

series9.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite119.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`+-commutative`
484×	`add-sqr-sqrt`
472×	`pow1`
472×	`*-un-lft-identity`
454×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	202
1	466	166
2	7321	166

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (.f64 (-.f64 -1 alpha) (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (+.f64 alpha (+.f64 beta 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (.f64 (-.f64 -1 alpha) (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (-.f64 -1 alpha) (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (.f64 (-.f64 -1 alpha) (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (+.f64 alpha (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (.f64 (-.f64 -1 alpha) (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 -1 alpha) (-.f64 -1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) (/.f64 1 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simplify192.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1726×	`associate-r`
1576×	`associate-l`
1466×	`+-commutative`
1184×	`associate-+r+`
850×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1010	27843
1	3587	27287

Stop Event

1×	node limit

Counts

269 → 495

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

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

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

2 → 9

Calls

6 calls:

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

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

54 → 57

Calls

Call 1

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

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 21 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`*-commutative`
914×	`associate-/r*`
746×	`distribute-lft-in`
696×	`distribute-rgt-in`
606×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	236	25
2	3144	25

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1572×	`associate-*r/`
1398×	`associate-*l/`
894×	`associate-/l*`
608×	`associate-/r*`
540×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	2981
1	748	2843
2	3068	2807

Stop Event

1×	node limit

Counts

71 → 141

Calls

Call 1

Inputs
1/12
(+.f64 1/12 (*.f64 -5/72 beta))
(+.f64 1/12 (+.f64 (.f64 -5/72 beta) (.f64 19/432 (pow.f64 beta 2))))
(+.f64 1/12 (+.f64 (.f64 -5/72 beta) (+.f64 (.f64 19/432 (pow.f64 beta 2)) (*.f64 -65/2592 (pow.f64 beta 3)))))
(/.f64 1/2 (pow.f64 beta 2))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (.f64 5/2 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (.f64 19/2 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5/2 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (.f64 19/2 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65/2 (/.f64 1 (pow.f64 beta 5))) (.f64 5/2 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1/2 (pow.f64 beta 2))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (.f64 5/2 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (.f64 19/2 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5/2 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (.f64 19/2 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65/2 (/.f64 1 (pow.f64 beta 5))) (.f64 5/2 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) beta) (.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) -2))
(+.f64 (.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)) (.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta -2))))
(+.f64 (.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta -2))) (.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)))
(+.f64 (.f64 beta (/.f64 1/2 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))) (.f64 -2 (/.f64 1/2 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))))
(+.f64 (.f64 (.f64 beta beta) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (.f64 (+.f64 4 (.f64 beta -2)) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))
(+.f64 (.f64 (+.f64 4 (.f64 beta -2)) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (.f64 (.f64 beta beta) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)))) 1)
(*.f64 1/2 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) 1)
(*.f64 1 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))) (sqrt.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))))
(*.f64 (/.f64 1/2 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(.f64 (+.f64 beta -2) (/.f64 1/2 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) 1/2)
(.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))))
(.f64 -1/2 (/.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1/2 (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1/2 (+.f64 beta 3)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 1/2 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (/.f64 1/2 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 1 (+.f64 beta 3)))
(.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) (+.f64 beta -2))
(.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta (+.f64 beta -2))))
(.f64 (/.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) -1/2)
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (fma.f64 beta beta -9)) (+.f64 beta -3))
(.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (.f64 beta (+.f64 beta -3))))
(.f64 (/.f64 1/2 (.f64 (+.f64 beta 2) (fma.f64 beta beta -9))) (+.f64 beta -3))
(.f64 (/.f64 1/2 (.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(.f64 (/.f64 1/2 (-.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 beta beta)) (.f64 (pow.f64 (+.f64 beta 3) 2) 4))) (*.f64 (+.f64 beta 3) (+.f64 beta -2)))
(.f64 (/.f64 1/2 (+.f64 (pow.f64 (.f64 beta (+.f64 beta 3)) 3) (pow.f64 (+.f64 (.f64 beta 2) 6) 3))) (+.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 beta beta)) (.f64 (+.f64 (.f64 beta 2) 6) (-.f64 (+.f64 (.f64 beta 2) 6) (*.f64 beta (+.f64 beta 3))))))
(.f64 (/.f64 1/2 (.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4))) (*.f64 (+.f64 beta -3) (+.f64 beta -2)))
(.f64 (/.f64 1/2 (.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3)))) (.f64 (+.f64 beta -3) (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 1/2 (.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3)))) (.f64 (+.f64 beta -2) (+.f64 9 (.f64 beta (+.f64 beta -3)))))
(.f64 (/.f64 1/2 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (.f64 (+.f64 9 (.f64 beta (+.f64 beta -3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (-.f64 4 (.f64 beta beta))) (-.f64 2 beta))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (neg.f64 (fma.f64 beta beta -4))) (+.f64 (neg.f64 beta) 2))
(.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 (neg.f64 (pow.f64 beta 3)) -8)) (neg.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (-.f64 9 (.f64 beta beta))) (-.f64 3 beta))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (neg.f64 (fma.f64 beta beta -9))) (+.f64 (neg.f64 beta) 3))
(.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 -27 (neg.f64 (pow.f64 beta 3)))) (neg.f64 (+.f64 9 (.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (fma.f64 beta beta -4))) (sqrt.f64 (+.f64 beta -2)))
(.f64 (/.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 8 (pow.f64 beta 3)))) (sqrt.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (fma.f64 beta beta -4))) (cbrt.f64 (+.f64 beta -2)))
(.f64 (/.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(pow.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) 3) 1/3)
(pow.f64 (.f64 2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) -1)
(neg.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 (neg.f64 beta) -2)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))))
(exp.f64 (log.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))))

Outputs
1/12
(+.f64 1/12 (*.f64 -5/72 beta))
(fma.f64 -5/72 beta 1/12)
(+.f64 1/12 (+.f64 (.f64 -5/72 beta) (.f64 19/432 (pow.f64 beta 2))))
(+.f64 1/12 (fma.f64 -5/72 beta (.f64 19/432 (.f64 beta beta))))
(+.f64 1/12 (fma.f64 -5/72 beta (.f64 (.f64 19/432 beta) beta)))
(+.f64 1/12 (.f64 beta (+.f64 -5/72 (.f64 beta 19/432))))
(+.f64 1/12 (+.f64 (.f64 -5/72 beta) (+.f64 (.f64 19/432 (pow.f64 beta 2)) (*.f64 -65/2592 (pow.f64 beta 3)))))
(+.f64 1/12 (fma.f64 -5/72 beta (fma.f64 19/432 (.f64 beta beta) (.f64 -65/2592 (pow.f64 beta 3)))))
(+.f64 (fma.f64 -5/72 beta 1/12) (.f64 (.f64 beta beta) (+.f64 19/432 (*.f64 beta -65/2592))))
(/.f64 1/2 (pow.f64 beta 2))
(/.f64 1/2 (*.f64 beta beta))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (.f64 5/2 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1/2 (*.f64 beta beta)) (/.f64 5/2 (pow.f64 beta 3)))
(+.f64 (/.f64 1/2 (*.f64 beta beta)) (/.f64 -5/2 (pow.f64 beta 3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (.f64 19/2 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5/2 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 beta beta)) (/.f64 19/2 (pow.f64 beta 4))) (/.f64 5/2 (pow.f64 beta 3)))
(+.f64 (/.f64 1/2 (*.f64 beta beta)) (+.f64 (/.f64 19/2 (pow.f64 beta 4)) (/.f64 -5/2 (pow.f64 beta 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (.f64 19/2 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65/2 (/.f64 1 (pow.f64 beta 5))) (.f64 5/2 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (/.f64 1/2 (*.f64 beta beta)) (-.f64 (/.f64 19/2 (pow.f64 beta 4)) (+.f64 (/.f64 5/2 (pow.f64 beta 3)) (/.f64 65/2 (pow.f64 beta 5)))))
(+.f64 (/.f64 19/2 (pow.f64 beta 4)) (+.f64 (/.f64 1/2 (*.f64 beta beta)) (+.f64 (/.f64 -5/2 (pow.f64 beta 3)) (/.f64 -65/2 (pow.f64 beta 5)))))
(/.f64 1/2 (pow.f64 beta 2))
(/.f64 1/2 (*.f64 beta beta))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (.f64 5/2 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1/2 (*.f64 beta beta)) (/.f64 5/2 (pow.f64 beta 3)))
(+.f64 (/.f64 1/2 (*.f64 beta beta)) (/.f64 -5/2 (pow.f64 beta 3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (.f64 19/2 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5/2 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 beta beta)) (/.f64 19/2 (pow.f64 beta 4))) (/.f64 5/2 (pow.f64 beta 3)))
(+.f64 (/.f64 1/2 (*.f64 beta beta)) (+.f64 (/.f64 19/2 (pow.f64 beta 4)) (/.f64 -5/2 (pow.f64 beta 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (.f64 19/2 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65/2 (/.f64 1 (pow.f64 beta 5))) (.f64 5/2 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (/.f64 1/2 (*.f64 beta beta)) (-.f64 (/.f64 19/2 (pow.f64 beta 4)) (+.f64 (/.f64 5/2 (pow.f64 beta 3)) (/.f64 65/2 (pow.f64 beta 5)))))
(+.f64 (/.f64 19/2 (pow.f64 beta 4)) (+.f64 (/.f64 1/2 (*.f64 beta beta)) (+.f64 (/.f64 -5/2 (pow.f64 beta 3)) (/.f64 -65/2 (pow.f64 beta 5)))))
(+.f64 (.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) beta) (.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) -2))
(.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) (+.f64 beta -2))
(*.f64 (/.f64 (/.f64 1/2 (fma.f64 beta beta -4)) (+.f64 beta 3)) (+.f64 beta -2))
(+.f64 (.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)) (.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta -2))))
(.f64 (/.f64 1/2 (.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 beta 3))) (+.f64 (.f64 beta beta) (+.f64 4 (.f64 beta -2))))
(.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8))) (fma.f64 beta (+.f64 beta -2) 4))
(+.f64 (.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta -2))) (.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)))
(.f64 (/.f64 1/2 (.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 beta 3))) (+.f64 (.f64 beta beta) (+.f64 4 (.f64 beta -2))))
(.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8))) (fma.f64 beta (+.f64 beta -2) 4))
(+.f64 (.f64 beta (/.f64 1/2 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))) (.f64 -2 (/.f64 1/2 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))))
(.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) (+.f64 beta -2))
(*.f64 (/.f64 (/.f64 1/2 (fma.f64 beta beta -4)) (+.f64 beta 3)) (+.f64 beta -2))
(+.f64 (.f64 (.f64 beta beta) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (.f64 (+.f64 4 (.f64 beta -2)) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))
(.f64 (/.f64 1/2 (.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 beta 3))) (+.f64 (.f64 beta beta) (+.f64 4 (.f64 beta -2))))
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(/.f64 (/.f64 -1/2 (-.f64 -2 beta)) (+.f64 beta 3))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2))
(fabs.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)))
(fabs.f64 (/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(log.f64 (exp.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)))))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) 3))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(exp.f64 (log.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
✓	2.9b	(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 60 to 37 computations (38.3% saved)

series7.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	inf	(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	0	(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	0	(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	-inf	(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	-inf	(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1886×	`associate-/l*`
450×	`associate-+l+`
432×	`+-commutative`
398×	`add-sqr-sqrt`
386×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	385	45
2	5729	45

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

simplify97.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

690×	`distribute-lft-in`
624×	`distribute-rgt-in`
590×	`associate-/l/`
556×	`fma-def`
508×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	7026
1	1262	6568
2	6029	6502

Stop Event

1×	node limit

Counts

66 → 139

Calls

Call 1

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 beta 2))
✓	0.1b	(/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta)))
✓	0.1b	(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
✓	20.1b	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta))

Compiler

Compiled 83 to 54 computations (34.9% saved)

series16.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`+-commutative`
468×	`add-sqr-sqrt`
452×	`pow1`
452×	`*-un-lft-identity`
438×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	148
1	455	136
2	6689	136

Stop Event

1×	node limit

Counts

4 → 150

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) -1) (.f64 (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (neg.f64 beta)) (.f64 (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1 (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (.f64 (neg.f64 beta) (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 beta) (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (.f64 -1 (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))))) 1)))) (#(struct:change #<rule 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/.f64 (.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -1 (pow.f64 beta 3))) (.f64 (-.f64 (-.f64 -2 alpha) beta) (+.f64 1 (.f64 beta (+.f64 beta -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (-.f64 1 (.f64 beta beta))) (+.f64 beta -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (-.f64 -1 (pow.f64 beta 3))) (+.f64 1 (.f64 beta (+.f64 beta -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 -1 beta) (/.f64 1 (-.f64 -2 beta))) (neg.f64 (-.f64 (-.f64 -2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (-.f64 -2 beta)) (-.f64 -1 beta)) (neg.f64 (-.f64 (-.f64 -2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 beta beta)) (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (+.f64 beta -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 -1 (pow.f64 beta 3)) (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (+.f64 1 (.f64 beta (+.f64 beta -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)) 1) (-.f64 (-.f64 -2 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))) (neg.f64 (-.f64 (-.f64 -2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (-.f64 -2 beta)) (-.f64 1 (.f64 beta beta))) (.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) beta)) (+.f64 beta -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (-.f64 -2 beta)) (-.f64 -1 (pow.f64 beta 3))) (.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) beta)) (+.f64 1 (.f64 beta (+.f64 beta -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 beta beta)) 1) (.f64 (+.f64 beta -1) (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 beta beta)) (/.f64 1 (+.f64 beta 2))) (.f64 (+.f64 beta -1) (-.f64 (-.f64 -2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 beta beta)) (/.f64 1 (-.f64 -2 beta))) (.f64 (+.f64 beta -1) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 -1 (pow.f64 beta 3)) 1) (.f64 (+.f64 1 (.f64 beta (+.f64 beta -1))) (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 -1 (pow.f64 beta 3)) (/.f64 1 (+.f64 beta 2))) (.f64 (+.f64 1 (.f64 beta (+.f64 beta -1))) (-.f64 (-.f64 -2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 -1 (pow.f64 beta 3)) (/.f64 1 (-.f64 -2 beta))) (.f64 (+.f64 1 (.f64 beta (+.f64 beta -1))) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 3) (pow.f64 (-.f64 -1 beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 -1 beta) 3) (pow.f64 (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (.f64 (-.f64 -1 beta) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 beta) (.f64 (/.f64 1 (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (/.f64 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simplify134.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1338×	`associate-r`
1152×	`associate-l`
1132×	`associate-/l*`
962×	`associate-/r*`
956×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	802	18106
1	2677	17776

Stop Event

1×	node limit

Counts

234 → 403

Calls

Call 1

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

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

eval1.3s (6%)

Compiler: Compiled 65081 to 48466 computations (25.5% saved)

prune571.0ms (2.6%)

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	1601	9	1610
Fresh	6	19	25
Picked	0	1	1
Done	5	4	9
Total	1612	33	1645

Error

Counts

1645 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	31.9b	(pow.f64 beta -2)
	5.4b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	5.1b	(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))
	23.8b	(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
	22.8b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓	0.2b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	27.7b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	34.0b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
	33.9b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
	23.8b	(/.f64 (/.f64 1 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (neg.f64 (+.f64 1 alpha)))) (+.f64 alpha (+.f64 beta 3)))
	27.5b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
	31.9b	(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
	31.1b	(/.f64 (-.f64 3 beta) (.f64 (+.f64 beta 2) (-.f64 9 (.f64 beta beta))))
	14.5b	(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
✓	30.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	14.5b	(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)))
	34.1b	(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
✓	0.2b	(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
✓	5.0b	(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
	35.9b	(/.f64 (.f64 (/.f64 (+.f64 (.f64 -1/4 beta) (+.f64 1/2 (*.f64 1/8 (pow.f64 beta 2)))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
	9.7b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) (.f64 (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))))
	42.1b	(/.f64 alpha (*.f64 beta beta))
✓	27.7b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	31.6b	(/.f64 1 (*.f64 beta (+.f64 beta 5)))
	32.1b	(/.f64 1 (*.f64 beta beta))
	61.6b	(/.f64 1 (*.f64 alpha alpha))
	34.1b	(/.f64 1/2 (+.f64 6 (*.f64 beta 5)))
	62.2b	(/.f64 1/4 alpha)
	5.0b	(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
	28.0b	(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))
	27.8b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
	28.3b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	35.3b	1/12

Compiler

Compiled 544 to 399 computations (26.7% saved)

regimes108.0ms (0.5%)

Counts

67 → 1

Calls

Call 1

Inputs
1/12
1/6
(/.f64 1/4 alpha)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 6 (*.f64 beta 5)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (-.f64 3 beta) (.f64 (+.f64 beta 2) (-.f64 9 (.f64 beta beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (neg.f64 (+.f64 1 alpha)))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 2 alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 1 alpha)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) (.f64 (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))))
(/.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 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 1 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) (-.f64 -1 beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (neg.f64 (/.f64 (-.f64 (-.f64 -1 alpha) (.f64 (.f64 -2 (+.f64 1 alpha)) (+.f64 2 alpha))) (*.f64 beta beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (.f64 beta beta)) (+.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 alpha beta)))) (/.f64 (+.f64 1 alpha) (/.f64 (.f64 beta beta) (+.f64 4 (.f64 2 alpha))))) (+.f64 alpha (+.f64 beta 3)))
(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)))))
(/.f64 (.f64 (/.f64 (+.f64 (.f64 -1/4 beta) (+.f64 1/2 (*.f64 1/8 (pow.f64 beta 2)))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 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 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta))))))

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

Calls

3 calls:

32.0ms

beta

32.0ms

alpha

14.0ms

(/.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
0.2b	1	`alpha`
0.2b	1	`beta`
0.2b	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 1193 to 786 computations (34.1% saved)

regimes155.0ms (0.7%)

Counts

44 → 2

Calls

Call 1

Inputs
1/12
1/6
(/.f64 1/4 alpha)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 6 (*.f64 beta 5)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (-.f64 3 beta) (.f64 (+.f64 beta 2) (-.f64 9 (.f64 beta beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (neg.f64 (+.f64 1 alpha)))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 2 alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 1 alpha)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))

Outputs

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

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

Calls

2 calls:

103.0ms	beta
39.0ms	alpha

Results

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

Compiler

Compiled 545 to 372 computations (31.7% saved)

bsearch26.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	5.1554970005879715e-6	212024501.06867093

Results

22.0ms

160×

body

256

valid

Compiler

Compiled 482 to 358 computations (25.7% saved)

regimes116.0ms (0.5%)

Counts

43 → 2

Calls

Call 1

Inputs
1/12
1/6
(/.f64 1/4 alpha)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 6 (*.f64 beta 5)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (-.f64 3 beta) (.f64 (+.f64 beta 2) (-.f64 9 (.f64 beta beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (neg.f64 (+.f64 1 alpha)))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 2 alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 1 alpha)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)))

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

Calls

2 calls:

65.0ms	beta
40.0ms	alpha

Results

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

Compiler

Compiled 522 to 356 computations (31.8% saved)

bsearch27.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	5.1554970005879715e-6	212024501.06867093

Results

25.0ms

160×

body

256

valid

Compiler

Compiled 422 to 318 computations (24.6% saved)

regimes94.0ms (0.4%)

Counts

30 → 2

Calls

Call 1

Inputs
1/12
1/6
(/.f64 1/4 alpha)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 6 (*.f64 beta 5)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (-.f64 3 beta) (.f64 (+.f64 beta 2) (-.f64 9 (.f64 beta beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

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

Calls

2 calls:

58.0ms	alpha
30.0ms	beta

Results

Error	Segments	Branch
9.2b	4	`alpha`
1.3b	2	`beta`

Compiler

Compiled 266 to 179 computations (32.7% saved)

bsearch31.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	5.1554970005879715e-6	212024501.06867093

Results

24.0ms

160×

body

256

valid

Compiler

Compiled 402 to 298 computations (25.9% saved)

regimes113.0ms (0.5%)

Counts

28 → 2

Calls

Call 1

Inputs
1/12
1/6
(/.f64 1/4 alpha)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 6 (*.f64 beta 5)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (-.f64 3 beta) (.f64 (+.f64 beta 2) (-.f64 9 (.f64 beta beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))

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

Calls

2 calls:

67.0ms	alpha
39.0ms	beta

Results

Error	Segments	Branch
9.6b	4	`alpha`
1.4b	2	`beta`

Compiler

Compiled 234 to 158 computations (32.5% saved)

bsearch29.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
28.0ms	5.1554970005879715e-6	212024501.06867093

Results

26.0ms

160×

body

256

valid

Compiler

Compiled 362 to 268 computations (26% saved)

regimes89.0ms (0.4%)

Counts

27 → 2

Calls

Call 1

Inputs
1/12
1/6
(/.f64 1/4 alpha)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 6 (*.f64 beta 5)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (-.f64 3 beta) (.f64 (+.f64 beta 2) (-.f64 9 (.f64 beta beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

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

Calls

2 calls:

54.0ms	alpha
29.0ms	beta

Results

Error	Segments	Branch
9.6b	4	`alpha`
1.5b	2	`beta`

Compiler

Compiled 219 to 147 computations (32.9% saved)

bsearch25.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	5.1554970005879715e-6	212024501.06867093

Results

23.0ms

160×

body

256

valid

Compiler

Compiled 342 to 258 computations (24.6% saved)

regimes90.0ms (0.4%)

Counts

24 → 2

Calls

Call 1

Inputs
1/12
1/6
(/.f64 1/4 alpha)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 6 (*.f64 beta 5)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))

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

Calls

2 calls:

48.0ms	alpha
36.0ms	beta

Results

Error	Segments	Branch
9.6b	4	`alpha`
1.6b	2	`beta`

Compiler

Compiled 178 to 119 computations (33.1% saved)

bsearch26.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	5.1554970005879715e-6	212024501.06867093

Results

24.0ms

160×

body

256

valid

Compiler

Compiled 322 to 238 computations (26.1% saved)

regimes70.0ms (0.3%)

Counts

21 → 2

Calls

Call 1

Inputs
1/12
1/6
(/.f64 1/4 alpha)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 6 (*.f64 beta 5)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))

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

Calls

2 calls:

43.0ms	alpha
21.0ms	beta

Results

Error	Segments	Branch
9.6b	4	`alpha`
1.7b	2	`beta`

Compiler

Compiled 143 to 96 computations (32.9% saved)

bsearch28.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	5.1554970005879715e-6	212024501.06867093

Results

25.0ms

160×

body

256

valid

Compiler

Compiled 302 to 228 computations (24.5% saved)

regimes78.0ms (0.4%)

Counts

20 → 2

Calls

Call 1

Inputs
1/12
1/6
(/.f64 1/4 alpha)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 6 (*.f64 beta 5)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))

Outputs
1/12
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))

Calls

2 calls:

53.0ms	alpha
21.0ms	beta

Results

Error	Segments	Branch
9.6b	4	`alpha`
1.9b	2	`beta`

Compiler

Compiled 132 to 88 computations (33.3% saved)

bsearch27.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	5.1554970005879715e-6	212024501.06867093

Results

23.0ms

160×

body

256

valid

Compiler

Compiled 202 to 158 computations (21.8% saved)

regimes59.0ms (0.3%)

Counts

15 → 2

Calls

Call 1

Inputs
1/12
1/6
(/.f64 1/4 alpha)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 6 (*.f64 beta 5)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)

Outputs
1/12
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Calls

2 calls:

37.0ms	alpha
17.0ms	beta

Results

Error	Segments	Branch
20.9b	4	`alpha`
4.1b	2	`beta`

Compiler

Compiled 85 to 53 computations (37.6% saved)

bsearch26.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	5.1554970005879715e-6	212024501.06867093

Results

24.0ms

160×

body

256

valid

Compiler

Compiled 182 to 138 computations (24.2% saved)

regimes54.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

Inputs
1/12
1/6
(/.f64 1/4 alpha)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 6 (*.f64 beta 5)))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))

Outputs
1/12
(/.f64 1 (*.f64 beta (+.f64 beta 5)))

Calls

2 calls:

36.0ms	alpha
15.0ms	beta

Results

Error	Segments	Branch
21.1b	5	`alpha`
5.7b	2	`beta`

Compiler

Compiled 64 to 43 computations (32.8% saved)

bsearch27.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	5.1554970005879715e-6	212024501.06867093

Results

25.0ms

160×

body

256

valid

Compiler

Compiled 182 to 148 computations (18.7% saved)

regimes43.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

Inputs
1/12
1/6
(/.f64 1/4 alpha)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 6 (*.f64 beta 5)))

Outputs
1/12
(/.f64 1 (*.f64 beta beta))

Calls

2 calls:

28.0ms	alpha
13.0ms	beta

Results

Error	Segments	Branch
21.2b	5	`alpha`
5.7b	2	`beta`

Compiler

Compiled 43 to 29 computations (32.6% saved)

bsearch26.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	5.1554970005879715e-6	212024501.06867093

Results

21.0ms

160×

body

256

valid

Compiler

Compiled 162 to 128 computations (21% saved)

regimes14.0ms (0.1%)

Accuracy

Total -28.0b remaining (-79.2%)

Threshold costs -28.0b (-79.2%)

Counts

6 → 1

Calls

Call 1

Inputs
1/12
1/6
(/.f64 1/4 alpha)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 (*.f64 alpha alpha))

Outputs
1/12

Calls

2 calls:

8.0ms	alpha
4.0ms	beta

Results

Error	Segments	Branch
35.3b	1	`alpha`
35.3b	1	`beta`

Compiler

Compiled 26 to 19 computations (26.9% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative`
18×	`*-commutative`
10×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	801
1	123	801
2	130	801
3	134	801
4	136	801

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 5404319552844595/2251799813685248) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))))
(if (<=.f64 beta 5404319552844595/9007199254740992) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3039929748475085/2251799813685248) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 32) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3152519739159347/1125899906842624) (/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 23/2) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 57) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3))) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 7/2) 1/12 (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 4278419646001971/1125899906842624) 1/12 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 8106479329266893/4503599627370496) 1/12 (/.f64 1 (*.f64 beta (+.f64 beta 5))))
(if (<=.f64 beta 7656119366529843/2251799813685248) 1/12 (/.f64 1 (*.f64 beta beta)))
1/12

Outputs
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 5404319552844595/2251799813685248) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))))
(if (<=.f64 beta 5404319552844595/2251799813685248) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))))
(if (<=.f64 beta 5404319552844595/9007199254740992) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5404319552844595/9007199254740992) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3039929748475085/2251799813685248) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 3039929748475085/2251799813685248) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 32) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 32) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3152519739159347/1125899906842624) (/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3152519739159347/1125899906842624) (/.f64 (+.f64 1/2 (.f64 alpha 1/4)) (.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 23/2) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 23/2) (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 57) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3))) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 57) (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 beta)))
(if (<=.f64 beta 7/2) 1/12 (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 7/2) 1/12 (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 beta)))
(if (<=.f64 beta 4278419646001971/1125899906842624) 1/12 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 4278419646001971/1125899906842624) 1/12 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)))
(if (<=.f64 beta 8106479329266893/4503599627370496) 1/12 (/.f64 1 (*.f64 beta (+.f64 beta 5))))
(if (<=.f64 beta 7656119366529843/2251799813685248) 1/12 (/.f64 1 (*.f64 beta beta)))
1/12

Compiler

Compiled 320 to 234 computations (26.9% saved)

soundness741.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 817 to 516 computations (36.8% saved)

end152.0ms (0.7%)

Compiler: Compiled 350 to 247 computations (29.4% saved)