Details

analyze48.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.5s (6.8%)

Results

1.4s

8256×

body

256

valid

Bogosity

preprocess377.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs

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

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

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

Symmetry

(sort alpha beta)

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify690.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs

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

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

eval3.0ms (0%)

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

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

0.0b

Counts

10 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.2b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
▶	4.2b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	9.4b	(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))

Compiler

Compiled 111 to 73 computations (34.2% saved)

localize34.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3)))
✓	0.1b	(.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2))
✓	9.4b	(/.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)))

New

Error

Program

✓

0.0b

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

✓

0.1b

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

✓

9.4b

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

Compiler

Compiled 95 to 51 computations (46.3% saved)

series20.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	beta	@	0	(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
3.0ms	alpha	@	0	(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
2.0ms	alpha	@	-inf	(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
2.0ms	beta	@	-inf	(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
2.0ms	beta	@	inf	(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))

rewrite125.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`associate-+l+`
612×	`+-commutative`
524×	`associate-+r+`
458×	`add-sqr-sqrt`
448×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	155
1	432	131
2	6775	131

Stop Event

1×	node limit

Counts

3 → 176

Calls

Call 1

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

Inputs

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

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

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

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

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

simplify475.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1330×	`associate-r`
1228×	`associate-l`
1102×	`+-commutative`
976×	`*-commutative`
778×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	755	20826
1	2726	19822

Stop Event

1×	node limit

Counts

248 → 399

Calls

Call 1

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

Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 alpha (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 alpha (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (.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 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 beta 2) 7))) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (+.f64 (/.f64 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) (.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 alpha (.f64 alpha (+.f64 (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 (/.f64 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) (.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 (.f64 beta 2) (+.f64 beta 7)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 1))) (pow.f64 (+.f64 beta 2) 4))))))))
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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 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 beta 2) 7))) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (+.f64 beta (+.f64 (.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 beta 2) 7))) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4)))))))))
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(/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 alpha (-.f64 3 beta)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3))))
(.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (fma.f64 beta beta (.f64 (+.f64 3 alpha) (+.f64 3 (-.f64 alpha beta))))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)))
(/.f64 (-.f64 (.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 beta (+.f64 beta (+.f64 alpha 2)))) (.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))) (-.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))
(/.f64 (-.f64 (.f64 (.f64 beta beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))) (-.f64 (.f64 beta (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 3 alpha))))
(/.f64 (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 beta (+.f64 3 alpha)) (.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 (-.f64 beta 3) alpha)))) (.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 (-.f64 beta 3) alpha)))
(/.f64 (+.f64 (pow.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) 3)) (+.f64 (.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (.f64 beta (+.f64 beta (+.f64 alpha 2)))) (-.f64 (.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))) (.f64 (.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 3 alpha)) 3)) (+.f64 (.f64 (.f64 beta beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (-.f64 (.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)) (.f64 beta (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 3 alpha))))))
(/.f64 (+.f64 (pow.f64 (.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 3 alpha)) 3)) (+.f64 (.f64 (.f64 beta beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 3 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 3 (-.f64 alpha beta)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (-.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha -2))) (/.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (-.f64 beta (+.f64 3 alpha))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha -2))) (/.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (-.f64 (-.f64 beta 3) alpha)))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (.f64 (+.f64 beta (-.f64 alpha 2)) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta)))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (fma.f64 beta beta (.f64 (+.f64 3 alpha) (+.f64 alpha (-.f64 3 beta))))) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha -2))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (fma.f64 beta beta (.f64 (+.f64 3 alpha) (+.f64 3 (-.f64 alpha beta))))) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha -2))))
(/.f64 (.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2))) (.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (.f64 (+.f64 alpha beta) 2)) (-.f64 beta (+.f64 alpha 3))))
(.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (.f64 2 (+.f64 beta alpha))))) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (-.f64 beta (+.f64 3 alpha))))
(.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 4 (.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (-.f64 (-.f64 beta 3) alpha)))
(/.f64 (.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (.f64 (+.f64 alpha beta) 2)) (fma.f64 beta beta (.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta)))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (/.f64 (.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (.f64 2 (+.f64 beta alpha)))) (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 alpha (-.f64 3 beta))))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (fma.f64 beta beta (.f64 (+.f64 3 alpha) (+.f64 3 (-.f64 alpha beta))))) (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (*.f64 (-.f64 beta (+.f64 alpha 3)) (+.f64 beta (-.f64 alpha 2))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha -2))) (/.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (-.f64 beta (+.f64 3 alpha))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha -2))) (/.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (-.f64 (-.f64 beta 3) alpha)))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (.f64 (-.f64 beta (+.f64 alpha 3)) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (.f64 2 (+.f64 beta alpha))))) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (-.f64 beta (+.f64 3 alpha))))
(.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 4 (.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (-.f64 (-.f64 beta 3) alpha)))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))) (+.f64 beta (-.f64 alpha 2))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (fma.f64 beta beta (.f64 (+.f64 3 alpha) (+.f64 alpha (-.f64 3 beta))))) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha -2))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (fma.f64 beta beta (.f64 (+.f64 3 alpha) (+.f64 3 (-.f64 alpha beta))))) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha -2))))
(/.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (.f64 (+.f64 alpha beta) 2))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (/.f64 (.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (.f64 2 (+.f64 beta alpha)))) (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 alpha (-.f64 3 beta))))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (fma.f64 beta beta (.f64 (+.f64 3 alpha) (+.f64 3 (-.f64 alpha beta))))) (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))))
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 1)
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 3)
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (log.f64 (exp.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (log.f64 (exp.f64 (+.f64 beta (+.f64 2 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 3))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 1))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(fma.f64 beta (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(fma.f64 (+.f64 beta (+.f64 alpha 2)) beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 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 (+.f64 beta 1) (+.f64 alpha 1))
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	1.7b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	3.6b	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 85 to 53 computations (37.6% saved)

series22.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
10.0ms	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))))
2.0ms	alpha	@	-inf	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	-inf	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	0	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))

rewrite163.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 217

Calls

Call 1

Inputs
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 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)))))))) 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simplify165.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	951	22563
1	3214	21831

Stop Event

1×	node limit

Counts

313 → 487

Calls

Call 1

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

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

localize32.0ms (0.1%)

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 (+.f64 beta 2)) (/.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))))
✓	0.1b	(/.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)

series16.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite116.0ms (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 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 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 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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))))))))

simplify217.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	961	25429
1	3442	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))))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (.f64 2 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 2 (.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha)))))) (.f64 2 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 2 (.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)) (.f64 2 (.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (+.f64 beta 1) (.f64 2 (.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2))) (.f64 -1 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 2 (.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha))))))) (.f64 2 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 4 (.f64 2 alpha)))) (pow.f64 beta 3))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 4 (.f64 2 alpha)))) (pow.f64 beta 3)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (.f64 2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 2 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))))) (.f64 2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 2 alpha) (+.f64 (.f64 -2 (.f64 (-.f64 (+.f64 1 alpha) (.f64 2 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (.f64 (-.f64 (+.f64 1 alpha) (.f64 2 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 2 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))))))) (.f64 2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(/.f64 (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 2) (+.f64 beta 1))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha (.f64 -1 (.f64 beta (+.f64 1 alpha)))))
(+.f64 2 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 beta 2)) (+.f64 alpha (.f64 -1 (*.f64 beta (+.f64 1 alpha))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 1 alpha))) (+.f64 2 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 beta 2)) (+.f64 alpha (.f64 -1 (*.f64 beta (+.f64 1 alpha)))))))
1
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) 1)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (+.f64 2 alpha))) beta)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (+.f64 2 alpha))) beta)) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (+.f64 2 alpha))) beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))) 1)
(*.f64 1 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))
(.f64 (+.f64 alpha 1) (.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta)))))
(.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))) 1)
(*.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)))))
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(/.f64 (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))) (-.f64 -1 beta))
(/.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) 1) (+.f64 1 beta))
(/.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (hypot.f64 1 (sqrt.f64 beta))) (hypot.f64 1 (sqrt.f64 beta)))
(/.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (cbrt.f64 (+.f64 1 beta)))
(/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) 1) (*.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) (.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 -2 (+.f64 alpha beta))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 -1 beta)))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 -2 (+.f64 alpha beta))) (.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 -1 beta)))
(/.f64 (.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 -1 beta) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (-.f64 -1 beta) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(pow.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) 1)
(pow.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(exp.f64 (-.f64 (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (log1p.f64 beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))) 1)
(*.f64 1 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 -1 (-.f64 -1 beta)))
(*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 1 (-.f64 -1 beta)))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) 1) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) -1)
(neg.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (pow.f64 (+.f64 1 beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))

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

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 alpha beta) 1)
✓	0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
✓	1.7b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓	3.6b	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))

Compiler

Compiled 93 to 46 computations (50.5% saved)

series9.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite120.0ms (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	154
1	420	142
2	6857	142

Stop Event

1×	node limit

Counts

4 → 202

Calls

Call 1

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

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

simplify167.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1232×	`+-commutative`
1102×	`associate-r`
1004×	`*-commutative`
968×	`associate-l`
902×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	898	22220
1	3031	22032

Stop Event

1×	node limit

Counts

298 → 464

Calls

Call 1

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

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

eval2.2s (10.2%)

Compiler: Compiled 93509 to 65532 computations (29.9% saved)

prune720.0ms (3.3%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	1836	24	1860
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1840	24	1864

Error

Counts

1864 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
	4.2b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	19.1b	(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (.f64 beta alpha)) (/.f64 (.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	4.2b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
▶	5.5b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))
	31.6b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
	4.5b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	4.5b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	62.7b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
	22.2b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	18.8b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
	16.7b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	27.1b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
▶	16.7b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	30.7b	(/.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	61.8b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	20.8b	(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) 2)))
	24.8b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	29.2b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	0.2b	(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 2 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))) (+.f64 alpha (+.f64 beta 3)))
	1.7b	(/.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	1.3b	(.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
▶	0.2b	(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
	1.7b	(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 3 beta)) (-.f64 -1 alpha))) (/.f64 -1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))

Compiler

Compiled 1126 to 788 computations (30% saved)

localize94.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 104 to 71 computations (31.7% saved)

series16.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite123.0ms (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	190
1	442	178
2	6965	178

Stop Event

1×	node limit

Counts

4 → 186

Calls

Call 1

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

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

simplify205.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1436×	`associate-/r*`
1348×	`associate-+r+`
1250×	`associate-+l+`
868×	`associate-*r/`
804×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1067	28888
1	3824	28154

Stop Event

1×	node limit

Counts

282 → 520

Calls

Call 1

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.7b	(/.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	beta	@	inf	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.0ms	alpha	@	-inf	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.0ms	alpha	@	inf	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

rewrite69.0ms (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))))))))

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 51

Calls

Call 1

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

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

localize58.0ms (0.3%)

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)

series11.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	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))))

rewrite115.0ms (0.5%)

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

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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 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((#(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))))))))

simplify182.0ms (0.8%)

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))))
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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)))))))
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(/.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))

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 alpha beta) 1)
✓	0.0b	(*.f64 (+.f64 beta 3) (+.f64 beta 2))
✓	1.7b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))
	3.6b	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))

Compiler

Compiled 83 to 44 computations (47% saved)

series11.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite152.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`associate-+l+`
558×	`+-commutative`
502×	`associate-+r+`
442×	`add-sqr-sqrt`
432×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	82
1	418	82
2	6722	82

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (+.f64 beta 3) (+.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 (+.f64 beta 2) (*.f64 (+.f64 beta 3) (+.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 (+.f64 beta 2) (*.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 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 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (+.f64 beta 3) (+.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))) (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify164.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

824×	`distribute-lft-in`
722×	`distribute-rgt-in`
614×	`*-commutative`
610×	`associate-/r*`
590×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	494	10862
1	1686	10084
2	7588	10060

Stop Event

1×	node limit

Counts

138 → 225

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) alpha) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 (-.f64 (+.f64 (/.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 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) alpha) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (.f64 (-.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 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) alpha) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))))) (pow.f64 alpha 3)) (+.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 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (/.f64 beta (.f64 (+.f64 beta 3) alpha))))
(-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (/.f64 beta (.f64 (+.f64 beta 3) alpha))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) alpha)) (/.f64 beta (*.f64 (+.f64 beta 3) alpha))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (.f64 -1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (.f64 -1 (/.f64 beta (+.f64 beta 3)))) alpha)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (.f64 -1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (.f64 -1 (/.f64 beta (+.f64 beta 3)))) alpha)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (.f64 -1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 -1 (/.f64 beta (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (.f64 -1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (.f64 -1 (/.f64 beta (+.f64 beta 3)))) alpha)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (.f64 -1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (.f64 -1 (/.f64 beta (+.f64 beta 3)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (.f64 -1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (.f64 -1 (/.f64 beta (+.f64 beta 3)))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (*.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 1/36 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))))))
(/.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 alpha)) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (.f64 (+.f64 7 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 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 alpha)) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha))) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 alpha)))) (+.f64 (.f64 -1 (.f64 (+.f64 7 alpha) (+.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (.f64 (+.f64 7 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 alpha))))))) (.f64 6 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (.f64 (+.f64 7 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 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 alpha)) (pow.f64 beta 3)))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) (pow.f64 beta 2)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 7 alpha) (-.f64 (.f64 -1 alpha) 1))) (pow.f64 beta 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) (pow.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 7 alpha) (-.f64 (.f64 -1 alpha) 1))) (+.f64 7 alpha))) (.f64 (-.f64 (.f64 -1 alpha) 1) (-.f64 (.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 7 alpha) (-.f64 (.f64 -1 alpha) 1))) (pow.f64 beta 3))) (.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))))
(+.f64 (.f64 6 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 7 alpha) (-.f64 (.f64 -1 alpha) 1))) (-.f64 (.f64 -5 (+.f64 2 alpha)) 6)) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 7 alpha) (-.f64 (.f64 -1 alpha) 1))) (+.f64 7 alpha))) (.f64 (-.f64 (.f64 -1 alpha) 1) (-.f64 (.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 7 alpha) (-.f64 (.f64 -1 alpha) 1))) (pow.f64 beta 3))) (+.f64 (/.f64 (.f64 (+.f64 7 alpha) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 7 alpha) (-.f64 (.f64 -1 alpha) 1))) (+.f64 7 alpha))) (.f64 (-.f64 (.f64 -1 alpha) 1) (-.f64 (.f64 -5 (+.f64 2 alpha)) 6)))) (pow.f64 beta 5)) (.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2))))))))
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 (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2))))))) 1)
(.f64 1 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (*.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2))))))
(.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (/.f64 1 (.f64 (+.f64 beta 2) (*.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2))))))
(.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 2) (+.f64 beta 3))))
(.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (*.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2))))) 1)
(.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))))) (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (*.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))))))
(.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (*.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))))) 2) (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (*.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (+.f64 beta 2)))
(.f64 (/.f64 1 (.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (neg.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 3)))))
(.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 1) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 2) (+.f64 beta 3))))
(.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta 2)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3))) 2)) (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 beta beta -4)) (+.f64 beta -2))
(.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 beta 2)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 beta 2)))
(.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (sqrt.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3)))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3))) 2)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (.f64 (+.f64 beta 2) (+.f64 beta 3))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 3)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 3)) (/.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 2)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3))) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (.f64 (+.f64 beta 2) (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 2) (+.f64 beta 2)) (/.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 2) (+.f64 beta 3)) (/.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 2) (sqrt.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3))) 2)) (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))))))
(pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2))))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2))))) 3) 1/3)
(pow.f64 (.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 3)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2))))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2))))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (*.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)))))))
(+.f64 (.f64 beta beta) (+.f64 (.f64 beta 3) (+.f64 (*.f64 beta 2) 6)))
(+.f64 (+.f64 (.f64 beta 2) 6) (.f64 beta (+.f64 beta 3)))
(+.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (.f64 beta 2) 6))
(+.f64 (.f64 beta 2) (+.f64 6 (.f64 beta (+.f64 beta 3))))
(+.f64 (.f64 beta 3) (+.f64 (.f64 beta beta) (+.f64 (*.f64 beta 2) 6)))
(+.f64 (.f64 (+.f64 beta 2) beta) (.f64 (+.f64 beta 2) 3))
(+.f64 (.f64 (+.f64 beta 2) 3) (.f64 (+.f64 beta 2) beta))
(+.f64 6 (+.f64 (.f64 beta 2) (.f64 beta (+.f64 beta 3))))
(+.f64 (.f64 beta (+.f64 beta 2)) (.f64 3 (+.f64 beta 2)))
(+.f64 (.f64 (.f64 beta (+.f64 beta 3)) 1) (.f64 (+.f64 (.f64 beta 2) 6) 1))
(+.f64 (.f64 (+.f64 (.f64 beta 2) 6) 1) (.f64 (.f64 beta (+.f64 beta 3)) 1))
(+.f64 (.f64 3 (+.f64 beta 2)) (.f64 beta (+.f64 beta 2)))
(+.f64 (+.f64 (+.f64 (.f64 beta 2) 6) (.f64 beta beta)) (*.f64 beta 3))
(+.f64 (+.f64 (+.f64 (.f64 beta 2) 6) (.f64 beta 3)) (*.f64 beta beta))
(+.f64 (+.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta 2)) 6)
(+.f64 (+.f64 (.f64 beta (+.f64 beta 3)) 6) (.f64 beta 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) 1)
(/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) (+.f64 beta -3))
(/.f64 (.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 9 (.f64 beta 3))))
(/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (+.f64 beta -2))
(/.f64 (.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 beta 3)) (+.f64 beta -2))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 3)) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))
(/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 beta 2)) (+.f64 beta -3))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 beta 2)) (fma.f64 beta beta (-.f64 9 (.f64 beta 3))))
(/.f64 (-.f64 (.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta (+.f64 beta 3))) (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 6))) (-.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (.f64 beta 2) 6)))
(/.f64 (+.f64 (pow.f64 (.f64 beta (+.f64 beta 3)) 3) (pow.f64 (+.f64 (.f64 beta 2) 6) 3)) (+.f64 (.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta (+.f64 beta 3))) (-.f64 (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 6)) (.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (*.f64 beta 2) 6)))))
(/.f64 (.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -9)) (.f64 (+.f64 beta -2) (+.f64 beta -3)))
(/.f64 (.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (.f64 (+.f64 beta -2) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -9)) (.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (+.f64 beta -3)))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3))) (.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (fma.f64 beta beta (-.f64 9 (.f64 beta 3)))))
(/.f64 (.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (.f64 (+.f64 beta -3) (+.f64 beta -2)))
(/.f64 (.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (.f64 (+.f64 beta -3) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (fma.f64 beta beta -4)) (.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (+.f64 beta -2)))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 (fma.f64 beta beta (-.f64 9 (.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (.f64 beta 2)))))
(pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 3)) (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))
(fma.f64 beta (+.f64 beta 3) (+.f64 (*.f64 beta 2) 6))
(fma.f64 (+.f64 beta 3) beta (+.f64 (*.f64 beta 2) 6))

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

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 80 to 55 computations (31.3% saved)

series9.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite151.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

480×	`+-commutative`
462×	`associate-+l+`
448×	`add-sqr-sqrt`
432×	`*-un-lft-identity`
430×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	142
1	430	142
2	6299	142

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

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

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

simplify271.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1276×	`+-commutative`
1240×	`associate-r`
1068×	`associate-+r+`
1022×	`associate-l`
890×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	850	21902
1	2865	20528

Stop Event

1×	node limit

Counts

232 → 421

Calls

Call 1

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

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

eval2.1s (9.5%)

Compiler: Compiled 82759 to 60246 computations (27.2% saved)

prune532.0ms (2.5%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	1723	18	1741
Fresh	9	10	19
Picked	1	0	1
Done	2	2	4
Total	1735	30	1765

Error

Counts

1765 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	30.2b	(pow.f64 beta -2)
	35.7b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 6 (.f64 beta 5)))
✓	5.5b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))
▶	31.6b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
	4.5b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	4.5b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	22.2b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	18.8b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
	16.7b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	27.1b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	62.8b	(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
	34.6b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
	27.6b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	30.7b	(/.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	20.8b	(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) 2)))
	16.7b	(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
	6.8b	(/.f64 (+.f64 1 beta) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2)))))
	24.8b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	24.8b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
✓	29.2b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	36.6b	(/.f64 (+.f64 1/6 (*.f64 alpha 1/6)) (+.f64 2 alpha))
▶	0.2b	(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 2 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))) (+.f64 alpha (+.f64 beta 3)))
	0.6b	(/.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 beta)) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
	44.2b	(/.f64 alpha (*.f64 beta beta))
	4.2b	(/.f64 1 (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 1 beta) (+.f64 1 alpha))))))
	30.6b	(/.f64 1 (*.f64 beta beta))
▶	61.6b	(/.f64 1 (*.f64 alpha alpha))
▶	17.6b	(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	4.5b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
	27.7b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))

Compiler

Compiled 1046 to 747 computations (28.6% saved)

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 141 to 91 computations (35.5% saved)

series16.0ms (0.1%)

Counts

4 → 56

Calls

18 calls:

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

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`add-sqr-sqrt`
576×	`*-un-lft-identity`
574×	`pow1`
556×	`add-cube-cbrt`
554×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	156
1	578	156

Stop Event

1×	node limit

Counts

4 → 119

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (+.f64 alpha 1) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2)) (/.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (cbrt.f64 (+.f64 alpha 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (cbrt.f64 (+.f64 alpha 1))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (cbrt.f64 (+.f64 alpha 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (.f64 (/.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (cbrt.f64 (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (cbrt.f64 (+.f64 alpha 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 alpha 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 alpha 1) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 alpha alpha) -1) (.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 alpha 3)) (.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 (.f64 alpha alpha) (-.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 1))) (.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2)) (/.f64 (neg.f64 (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2)) (.f64 (/.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (cbrt.f64 (+.f64 alpha 1))) (-.f64 -2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 alpha (+.f64 beta 2))) (neg.f64 (cbrt.f64 (+.f64 alpha 1)))) (/.f64 (neg.f64 (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2))) (-.f64 -2 (+.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (neg.f64 (cbrt.f64 (+.f64 alpha 1)))) (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (neg.f64 (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 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(cbrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 alpha 1)) (neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (+.f64 alpha 1) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (-.f64 -2 (+.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2)) 1) (.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (cbrt.f64 (+.f64 alpha 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2)) (neg.f64 (cbrt.f64 (+.f64 alpha 1)))) (.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 (neg.f64 (-.f64 -2 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))) (pow.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha 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((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (cbrt.f64 (+.f64 alpha 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))) (.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change 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simplify196.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1056×	`+-commutative`
974×	`associate-/l*`
918×	`*-commutative`
874×	`associate-r`
848×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	739	22319
1	2628	21921

Stop Event

1×	node limit

Counts

175 → 341

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

32 → 26

Calls

Call 1

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

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

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 1/2 (*.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)))

rewrite69.0ms (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 (*.f64 beta -2)) (/.f64 (/.f64 1/2 (+.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 1/2 (+.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta -2) (/.f64 1/2 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1/2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1/2 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 1/2 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (fma.f64 beta beta -9)) (+.f64 beta -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (+.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 1/2 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9))) (+.f64 beta -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.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 1/2 (-.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))

simplify88.0ms (0.4%)

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))))
(.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8))) (fma.f64 beta (+.f64 beta -2) 4))
(+.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 (/.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 (exp.f64 (log1p.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)))) 1)
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 1/2 (/.f64 (/.f64 1 (+.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))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) 1)
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 1 (/.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))
(*.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 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.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 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 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 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1/2 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(.f64 (+.f64 beta -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 1 (+.f64 beta 3)) (+.f64 beta 2)) 1/2)
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(.f64 (+.f64 4 (.f64 beta (+.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))))
(.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8))) (fma.f64 beta (+.f64 beta -2) 4))
(.f64 -1/2 (/.f64 -1 (.f64 (+.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))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1/2 (+.f64 beta 2)))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1/2 (+.f64 beta 3)))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(.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 1/2 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1/2 (.f64 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 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 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2))
(/.f64 1/2 (.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 1 (+.f64 beta 3)))
(/.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 (+.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 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta (+.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 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) -1/2)
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (fma.f64 beta beta -9)) (+.f64 beta -3))
(.f64 (+.f64 beta -3) (/.f64 1/2 (.f64 (+.f64 beta 2) (fma.f64 beta beta -9))))
(*.f64 (+.f64 beta -3) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (fma.f64 beta beta -9)))
(*.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (+.f64 beta -3) (fma.f64 beta beta -9)))
(.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (.f64 beta (+.f64 beta -3))))
(/.f64 (.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 9 (.f64 beta (+.f64 beta -3)))) (+.f64 (pow.f64 beta 3) 27))
(*.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (fma.f64 beta (+.f64 beta -3) 9) (+.f64 (pow.f64 beta 3) 27)))
(.f64 (/.f64 1/2 (.f64 (+.f64 beta 2) (fma.f64 beta beta -9))) (+.f64 beta -3))
(.f64 (+.f64 beta -3) (/.f64 1/2 (.f64 (+.f64 beta 2) (fma.f64 beta beta -9))))
(*.f64 (+.f64 beta -3) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (fma.f64 beta beta -9)))
(*.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (+.f64 beta -3) (fma.f64 beta beta -9)))
(.f64 (/.f64 1/2 (.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(/.f64 (.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 9 (.f64 beta (+.f64 beta -3)))) (+.f64 (pow.f64 beta 3) 27))
(*.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (fma.f64 beta (+.f64 beta -3) 9) (+.f64 (pow.f64 beta 3) 27)))
(.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 3) 2) (-.f64 (.f64 beta beta) 4))) (.f64 (+.f64 beta 3) (+.f64 beta -2)))
(.f64 (+.f64 beta 3) (.f64 (+.f64 beta -2) (/.f64 1/2 (*.f64 (fma.f64 beta beta -4) (pow.f64 (+.f64 beta 3) 2)))))
(.f64 (+.f64 beta -2) (.f64 (+.f64 beta 3) (/.f64 (/.f64 1/2 (fma.f64 beta beta -4)) (pow.f64 (+.f64 beta 3) 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 (pow.f64 (.f64 beta (+.f64 beta 3)) 3) (pow.f64 (fma.f64 beta 2 6) 3))) (fma.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 beta beta) (.f64 (fma.f64 beta 2 6) (-.f64 (fma.f64 beta 2 6) (*.f64 beta (+.f64 beta 3))))))
(.f64 (/.f64 1/2 (+.f64 (pow.f64 (.f64 beta (+.f64 beta 3)) 3) (pow.f64 (fma.f64 beta 2 6) 3))) (fma.f64 (.f64 beta 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 (/.f64 1/2 (+.f64 (pow.f64 (.f64 beta (+.f64 beta 3)) 3) (pow.f64 (fma.f64 beta 2 6) 3))) (fma.f64 (.f64 beta beta) (pow.f64 (+.f64 beta 3) 2) (.f64 (fma.f64 beta 2 6) (*.f64 (+.f64 beta 3) (-.f64 2 beta)))))
(.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 -4) (fma.f64 beta beta -9))) (*.f64 (+.f64 beta -2) (+.f64 beta -3)))
(.f64 (/.f64 (/.f64 1/2 (fma.f64 beta beta -9)) (fma.f64 beta beta -4)) (.f64 (+.f64 beta -2) (+.f64 beta -3)))
(/.f64 (/.f64 (+.f64 (*.f64 beta 1/2) -3/2) (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2))) (fma.f64 beta beta -9))
(.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 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta -9))) (.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (+.f64 beta -3)))
(.f64 (/.f64 1/2 (fma.f64 beta beta -9)) (/.f64 (.f64 (fma.f64 beta (+.f64 beta -2) 4) (+.f64 beta -3)) (+.f64 (pow.f64 beta 3) 8)))
(.f64 (fma.f64 beta (+.f64 beta -2) 4) (.f64 (+.f64 beta -3) (/.f64 (/.f64 1/2 (fma.f64 beta beta -9)) (+.f64 (pow.f64 beta 3) 8))))
(.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 (fma.f64 beta beta -4) (+.f64 (pow.f64 beta 3) 27))) (.f64 (+.f64 beta -2) (+.f64 9 (.f64 beta (+.f64 beta -3)))))
(.f64 (+.f64 beta -2) (.f64 (fma.f64 beta (+.f64 beta -3) 9) (/.f64 (/.f64 1/2 (+.f64 (pow.f64 beta 3) 27)) (fma.f64 beta beta -4))))
(.f64 (fma.f64 beta (+.f64 beta -3) 9) (.f64 (+.f64 beta -2) (/.f64 (/.f64 1/2 (+.f64 (pow.f64 beta 3) 27)) (fma.f64 beta beta -4))))
(.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 1/2 (.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 (pow.f64 beta 3) 27))) (.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(/.f64 (.f64 (.f64 (fma.f64 beta (+.f64 beta -2) 4) (fma.f64 beta (+.f64 beta -3) 9)) (/.f64 1/2 (+.f64 (pow.f64 beta 3) 27))) (+.f64 (pow.f64 beta 3) 8))
(.f64 (fma.f64 beta (+.f64 beta -2) 4) (.f64 (fma.f64 beta (+.f64 beta -3) 9) (/.f64 1/2 (*.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 (pow.f64 beta 3) 27)))))
(.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (-.f64 4 (.f64 beta beta))) (-.f64 2 beta))
(.f64 (/.f64 1/2 (.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta 3))) (-.f64 2 beta))
(/.f64 (.f64 (-.f64 2 beta) 1/2) (.f64 (+.f64 beta 3) (-.f64 4 (*.f64 beta beta))))
(.f64 (-.f64 2 beta) (/.f64 -1/2 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (neg.f64 (fma.f64 beta beta -4))) (+.f64 (neg.f64 beta) 2))
(.f64 (/.f64 1/2 (.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta 3))) (-.f64 2 beta))
(/.f64 (.f64 (-.f64 2 beta) 1/2) (.f64 (+.f64 beta 3) (-.f64 4 (*.f64 beta beta))))
(.f64 (-.f64 2 beta) (/.f64 -1/2 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))))
(.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 1/2 (.f64 (+.f64 (neg.f64 (pow.f64 beta 3)) -8) (+.f64 beta 3))) (neg.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (-.f64 -8 (pow.f64 beta 3))) (neg.f64 (fma.f64 beta (+.f64 beta -2) 4)))
(.f64 (fma.f64 beta (+.f64 beta -2) 4) (/.f64 -1/2 (.f64 (+.f64 beta 3) (-.f64 -8 (pow.f64 beta 3)))))
(.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (-.f64 9 (.f64 beta beta))) (-.f64 3 beta))
(.f64 (/.f64 1/2 (.f64 (-.f64 9 (*.f64 beta beta)) (+.f64 beta 2))) (-.f64 3 beta))
(.f64 (-.f64 3 beta) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (-.f64 9 (.f64 beta beta))))
(*.f64 (-.f64 3 beta) (/.f64 (/.f64 -1/2 (fma.f64 beta beta -9)) (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (neg.f64 (fma.f64 beta beta -9))) (+.f64 (neg.f64 beta) 3))
(.f64 (/.f64 1/2 (.f64 (-.f64 9 (*.f64 beta beta)) (+.f64 beta 2))) (-.f64 3 beta))
(.f64 (-.f64 3 beta) (/.f64 (/.f64 1/2 (+.f64 beta 2)) (-.f64 9 (.f64 beta beta))))
(*.f64 (-.f64 3 beta) (/.f64 (/.f64 -1/2 (fma.f64 beta beta -9)) (+.f64 beta 2)))
(.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 1/2 (+.f64 beta 2)) (-.f64 -27 (pow.f64 beta 3))) (neg.f64 (+.f64 9 (.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 (/.f64 1/2 (-.f64 -27 (pow.f64 beta 3))) (+.f64 beta 2)) (neg.f64 (fma.f64 beta (+.f64 beta -3) 9)))
(.f64 (fma.f64 beta (+.f64 beta -3) 9) (/.f64 -1/2 (.f64 (+.f64 beta 2) (-.f64 -27 (pow.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 1/2 (+.f64 beta 3)) (.f64 (sqrt.f64 (fma.f64 beta beta -4)) (sqrt.f64 (+.f64 beta 2)))) (sqrt.f64 (+.f64 beta -2)))
(/.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (/.f64 (sqrt.f64 (fma.f64 beta beta -4)) (sqrt.f64 (+.f64 beta -2))))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 beta beta -4)) (sqrt.f64 (+.f64 beta -2))) (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 1/2 (+.f64 beta 3)) (.f64 (sqrt.f64 (+.f64 (pow.f64 beta 3) 8)) (sqrt.f64 (+.f64 beta 2)))) (sqrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 beta 3) 8)) (sqrt.f64 (fma.f64 beta (+.f64 beta -2) 4))))
(.f64 (/.f64 1/2 (.f64 (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 (pow.f64 beta 3) 8))) (+.f64 beta 3))) (sqrt.f64 (fma.f64 beta (+.f64 beta -2) 4)))
(*.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 1/2 (+.f64 beta 3)) (.f64 (cbrt.f64 (fma.f64 beta beta -4)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) (cbrt.f64 (+.f64 beta -2)))
(/.f64 (.f64 (cbrt.f64 (+.f64 beta -2)) (/.f64 1/2 (+.f64 beta 3))) (.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (fma.f64 beta beta -4))))
(.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)))))
(.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 beta 3) 8)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) (cbrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 (pow.f64 beta 3) 8)))) (cbrt.f64 (fma.f64 beta (+.f64 beta -2) 4)))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (cbrt.f64 (+.f64 (pow.f64 beta 3) 8))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (fma.f64 beta (+.f64 beta -2) 4)))
(pow.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) 1)
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))) 2)
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(pow.f64 (cbrt.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))
(pow.f64 (pow.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) 3) 1/3)
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(pow.f64 (.f64 2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) -1)
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(neg.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 (neg.f64 beta) -2)))
(neg.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 -2 (neg.f64 beta))))
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(/.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))

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 44 to 32 computations (27.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite124.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`distribute-rgt-in`
1474×	`distribute-lft-in`
292×	`add-sqr-sqrt`
282×	`pow1`
282×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	284	56
2	4273	56

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

Outputs

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

simplify105.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1068×	`unswap-sqr`
890×	`associate-/r/`
846×	`fma-def`
694×	`+-commutative`
426×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	4641
1	850	4519
2	3471	4471
3	7679	4471

Stop Event

1×	node limit

Counts

125 → 176

Calls

Call 1

Inputs
1/12
(+.f64 1/12 (*.f64 -1/36 beta))
(+.f64 (.f64 -5/432 (pow.f64 beta 2)) (+.f64 1/12 (.f64 -1/36 beta)))
(+.f64 (.f64 -5/432 (pow.f64 beta 2)) (+.f64 1/12 (+.f64 (.f64 -1/36 beta) (*.f64 2/81 (pow.f64 beta 3)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 26 (/.f64 1 (pow.f64 beta 4)))) (.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 26 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 98 (/.f64 1 (pow.f64 beta 5))) (*.f64 6 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 26 (/.f64 1 (pow.f64 beta 4)))) (.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 26 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 98 (/.f64 1 (pow.f64 beta 5))) (*.f64 6 (/.f64 1 (pow.f64 beta 3)))))
1/2
(+.f64 1/2 (*.f64 1/4 beta))
(+.f64 (.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (.f64 1/4 beta)))
(+.f64 (.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (.f64 1/4 beta) (*.f64 1/16 (pow.f64 beta 3)))))
1
(-.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(-.f64 (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))))
1
(-.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(-.f64 (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (fma.f64 beta beta -4)) beta) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (fma.f64 beta beta -4)) -2))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (+.f64 8 (pow.f64 beta 3))) (-.f64 4 (.f64 beta 2))))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (+.f64 8 (pow.f64 beta 3))) (-.f64 4 (.f64 beta 2))) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)))
(+.f64 (.f64 beta (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (fma.f64 beta beta -4))) (.f64 -2 (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (fma.f64 beta beta -4))))
(+.f64 (.f64 (.f64 beta beta) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (+.f64 8 (pow.f64 beta 3)))) (.f64 (-.f64 4 (.f64 beta 2)) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (+.f64 8 (pow.f64 beta 3)))))
(+.f64 (.f64 (-.f64 4 (.f64 beta 2)) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (+.f64 8 (pow.f64 beta 3)))) (.f64 (.f64 beta beta) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (+.f64 8 (pow.f64 beta 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) 1)
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (+.f64 beta 1) (.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (+.f64 beta 1) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (.f64 (+.f64 beta 2) (+.f64 beta 3))))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) 1)
(.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2)))
(.f64 (/.f64 1 (.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))))
(.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)) (/.f64 1 (.f64 (+.f64 beta 3) (-.f64 -2 beta))))
(.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (/.f64 1 (+.f64 beta 2)) (.f64 (+.f64 beta 2) (+.f64 beta 3))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta 2)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3))) 2)) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (fma.f64 beta beta -4)) (+.f64 beta -2))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 2)))
(.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3)))) (/.f64 (/.f64 1 (+.f64 beta 2)) (sqrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3))) 2)) (/.f64 (/.f64 1 (+.f64 beta 2)) (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (.f64 (+.f64 beta 2) (+.f64 beta 3))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 3)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 3)) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3))) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (.f64 (+.f64 beta 2) (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (+.f64 beta 2)) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (+.f64 beta 3)) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (sqrt.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (sqrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3))) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) 3) 1/3)
(pow.f64 (.f64 (/.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3)) (-.f64 -1 beta)) (-.f64 -2 beta)) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (-.f64 -2 beta))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(exp.f64 (.f64 (-.f64 (log1p.f64 beta) (log.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 beta (/.f64 1 (+.f64 beta 2))))
(+.f64 (.f64 (/.f64 1 (+.f64 beta 2)) beta) (.f64 (/.f64 1 (+.f64 beta 2)) 1))
(+.f64 (.f64 (/.f64 1 (+.f64 beta 2)) 1) (.f64 (/.f64 1 (+.f64 beta 2)) beta))
(+.f64 (.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4)) beta) (.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4)) -2))
(+.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)) (.f64 (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3))) (-.f64 4 (.f64 beta 2))))
(+.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3))) (-.f64 4 (.f64 beta 2))) (.f64 (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)))
(+.f64 (*.f64 beta (/.f64 1 (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2)))
(+.f64 (.f64 beta (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4))) (.f64 -2 (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4))))
(+.f64 (.f64 (.f64 beta beta) (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3)))) (.f64 (-.f64 4 (.f64 beta 2)) (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3)))))
(+.f64 (.f64 (-.f64 4 (.f64 beta 2)) (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3)))) (.f64 (.f64 beta beta) (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) 1)
(*.f64 1 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(.f64 (sqrt.f64 (+.f64 beta 1)) (.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 1))
(*.f64 (-.f64 -1 beta) (/.f64 1 (-.f64 -2 beta)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4)) (+.f64 beta -2))
(.f64 (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) -1)
(neg.f64 (/.f64 (+.f64 beta 1) (-.f64 -2 beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))

Outputs
1/12
(+.f64 1/12 (*.f64 -1/36 beta))
(fma.f64 -1/36 beta 1/12)
(+.f64 (.f64 -5/432 (pow.f64 beta 2)) (+.f64 1/12 (.f64 -1/36 beta)))
(fma.f64 -5/432 (.f64 beta beta) (+.f64 1/12 (.f64 -1/36 beta)))
(fma.f64 -5/432 (*.f64 beta beta) (fma.f64 -1/36 beta 1/12))
(fma.f64 -1/36 beta (fma.f64 beta (*.f64 beta -5/432) 1/12))
(+.f64 (.f64 -5/432 (pow.f64 beta 2)) (+.f64 1/12 (+.f64 (.f64 -1/36 beta) (*.f64 2/81 (pow.f64 beta 3)))))
(fma.f64 -5/432 (.f64 beta beta) (+.f64 1/12 (fma.f64 -1/36 beta (.f64 2/81 (pow.f64 beta 3)))))
(+.f64 (fma.f64 -5/432 (.f64 beta beta) (fma.f64 -1/36 beta 1/12)) (.f64 2/81 (pow.f64 beta 3)))
(fma.f64 beta (*.f64 beta -5/432) (fma.f64 -1/36 beta (fma.f64 2/81 (pow.f64 beta 3) 1/12)))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 6 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -6 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 26 (/.f64 1 (pow.f64 beta 4)))) (.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 26 (pow.f64 beta 4))) (/.f64 6 (pow.f64 beta 3)))
(+.f64 (/.f64 26 (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -6 (pow.f64 beta 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 26 (pow.f64 beta 4))) (/.f64 -6 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 26 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 98 (/.f64 1 (pow.f64 beta 5))) (*.f64 6 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 26 (pow.f64 beta 4)) (+.f64 (/.f64 6 (pow.f64 beta 3)) (/.f64 98 (pow.f64 beta 5)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 26 (pow.f64 beta 4)) (/.f64 98 (pow.f64 beta 5)))) (/.f64 -6 (pow.f64 beta 3)))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 26 (pow.f64 beta 4)) (/.f64 -98 (pow.f64 beta 5)))) (/.f64 -6 (pow.f64 beta 3)))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 6 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -6 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 26 (/.f64 1 (pow.f64 beta 4)))) (.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 26 (pow.f64 beta 4))) (/.f64 6 (pow.f64 beta 3)))
(+.f64 (/.f64 26 (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -6 (pow.f64 beta 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 26 (pow.f64 beta 4))) (/.f64 -6 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 26 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 98 (/.f64 1 (pow.f64 beta 5))) (*.f64 6 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 26 (pow.f64 beta 4)) (+.f64 (/.f64 6 (pow.f64 beta 3)) (/.f64 98 (pow.f64 beta 5)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 26 (pow.f64 beta 4)) (/.f64 98 (pow.f64 beta 5)))) (/.f64 -6 (pow.f64 beta 3)))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 26 (pow.f64 beta 4)) (/.f64 -98 (pow.f64 beta 5)))) (/.f64 -6 (pow.f64 beta 3)))
1/2
(+.f64 1/2 (*.f64 1/4 beta))
(+.f64 1/2 (*.f64 beta 1/4))
(fma.f64 beta 1/4 1/2)
(+.f64 (.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (.f64 1/4 beta)))
(fma.f64 -1/8 (.f64 beta beta) (+.f64 1/2 (.f64 beta 1/4)))
(fma.f64 -1/8 (*.f64 beta beta) (fma.f64 beta 1/4 1/2))
(fma.f64 beta 1/4 (fma.f64 beta (*.f64 beta -1/8) 1/2))
(+.f64 (.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (.f64 1/4 beta) (*.f64 1/16 (pow.f64 beta 3)))))
(fma.f64 -1/8 (.f64 beta beta) (+.f64 1/2 (fma.f64 1/4 beta (.f64 (pow.f64 beta 3) 1/16))))
(+.f64 (fma.f64 -1/8 (.f64 beta beta) (fma.f64 beta 1/4 1/2)) (.f64 (pow.f64 beta 3) 1/16))
(fma.f64 beta (*.f64 beta -1/8) (fma.f64 (pow.f64 beta 3) 1/16 (fma.f64 beta 1/4 1/2)))
1
(-.f64 1 (/.f64 1 beta))
(+.f64 1 (/.f64 -1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 1 beta)))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 beta) beta) (/.f64 -1 beta)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 -1 beta)))
(-.f64 (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 beta beta)) (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3)))))
(+.f64 1 (-.f64 (/.f64 (/.f64 2 beta) beta) (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 -1 beta)) (/.f64 -4 (pow.f64 beta 3))))
1
(-.f64 1 (/.f64 1 beta))
(+.f64 1 (/.f64 -1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 1 beta)))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 beta) beta) (/.f64 -1 beta)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 -1 beta)))
(-.f64 (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 beta beta)) (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3)))))
(+.f64 1 (-.f64 (/.f64 (/.f64 2 beta) beta) (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 -1 beta)) (/.f64 -4 (pow.f64 beta 3))))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (fma.f64 beta beta -4)) beta) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (fma.f64 beta beta -4)) -2))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (fma.f64 beta beta -4) (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) (+.f64 beta -2))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (fma.f64 beta beta -4)) (+.f64 beta -2))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (fma.f64 beta beta -4) (+.f64 beta 3))) (+.f64 beta -2))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) 2)
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) 3)
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) 3) 1/3)
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (.f64 (/.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3)) (-.f64 -1 beta)) (-.f64 -2 beta)) -1)
(/.f64 (.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)) 1) (.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (-.f64 -2 beta))))
(neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (-.f64 -2 beta))))
(/.f64 (.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)) 1) (.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (-.f64 -2 beta))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) 2))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(log.f64 (exp.f64 (/.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 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.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 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) 3))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(expm1.f64 (log1p.f64 (/.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 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(exp.f64 (.f64 (-.f64 (log1p.f64 beta) (log.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(log1p.f64 (expm1.f64 (/.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 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 beta (/.f64 1 (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (.f64 (/.f64 1 (+.f64 beta 2)) beta) (.f64 (/.f64 1 (+.f64 beta 2)) 1))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (.f64 (/.f64 1 (+.f64 beta 2)) 1) (.f64 (/.f64 1 (+.f64 beta 2)) beta))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4)) beta) (.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4)) -2))
(*.f64 (+.f64 beta -2) (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4)))
(+.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)) (.f64 (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3))) (-.f64 4 (.f64 beta 2))))
(.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 beta 3) 8)))
(*.f64 (fma.f64 beta beta (fma.f64 beta -2 4)) (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 beta 3) 8)))
(+.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3))) (-.f64 4 (.f64 beta 2))) (.f64 (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)))
(.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 beta 3) 8)))
(*.f64 (fma.f64 beta beta (fma.f64 beta -2 4)) (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 beta 3) 8)))
(+.f64 (*.f64 beta (/.f64 1 (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (.f64 beta (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4))) (.f64 -2 (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4))))
(*.f64 (+.f64 beta -2) (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4)))
(+.f64 (.f64 (.f64 beta beta) (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3)))) (.f64 (-.f64 4 (.f64 beta 2)) (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3)))))
(.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 beta 3) 8)))
(*.f64 (fma.f64 beta beta (fma.f64 beta -2 4)) (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 beta 3) 8)))
(+.f64 (.f64 (-.f64 4 (.f64 beta 2)) (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3)))) (.f64 (.f64 beta beta) (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3)))))
(.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 beta 3) 8)))
(*.f64 (fma.f64 beta beta (fma.f64 beta -2 4)) (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 beta 3) 8)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) 1)
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(*.f64 1 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1)
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(.f64 (sqrt.f64 (+.f64 beta 1)) (.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(*.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 1))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(*.f64 (-.f64 -1 beta) (/.f64 1 (-.f64 -2 beta)))
(/.f64 (*.f64 (-.f64 -1 beta) 1) (-.f64 -2 beta))
(/.f64 (-.f64 -1 beta) (-.f64 -2 beta))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 (+.f64 beta -2) (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4)))
(.f64 (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))
(.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 beta 3) 8)))
(*.f64 (fma.f64 beta beta (fma.f64 beta -2 4)) (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 beta 3) 8)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta 2)))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta 2)))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1)
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2)
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 3)
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3) 1/3)
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(pow.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) -1)
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(neg.f64 (/.f64 (+.f64 beta 1) (-.f64 -2 beta)))
(/.f64 (*.f64 (-.f64 -1 beta) 1) (-.f64 -2 beta))
(/.f64 (-.f64 -1 beta) (-.f64 -2 beta))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 2))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 2) 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))))
(/.f64 (exp.f64 (log1p.f64 beta)) (+.f64 beta 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))))
(/.f64 (exp.f64 (log1p.f64 beta)) (+.f64 beta 2))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.0b

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

✓

1.8b

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

3.6b

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

Compiler

Compiled 71 to 32 computations (54.9% saved)

series8.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
1.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
0.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`associate-+l+`
492×	`+-commutative`
432×	`associate-+r+`
384×	`add-sqr-sqrt`
376×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	362	51
2	5867	51

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1882×	`associate-/l*`
1480×	`associate-/r*`
1030×	`associate--l+`
882×	`*-commutative`
584×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	312	6343
1	994	6185
2	4176	6185

Stop Event

1×	node limit

Counts

65 → 152

Calls

Call 1

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

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

eval1.2s (5.6%)

Compiler: Compiled 46379 to 32884 computations (29.1% saved)

prune389.0ms (1.8%)

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	1203	12	1215
Fresh	7	16	23
Picked	1	0	1
Done	2	4	6
Total	1213	32	1245

Error

Counts

1245 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	30.2b	(pow.f64 beta -2)
✓	5.5b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))
	31.6b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
	35.2b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 6 (*.f64 beta 5)))
	36.6b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 6)
▶	22.2b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	16.7b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	27.1b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	34.6b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
	27.6b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	30.7b	(/.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	30.5b	(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	8.9b	(/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (-.f64 -2 beta))))
	35.0b	(/.f64 (+.f64 beta 1) (.f64 (.f64 beta beta) (+.f64 beta 2)))
	16.7b	(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
	6.8b	(/.f64 (+.f64 1 beta) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2)))))
	24.8b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	24.8b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
✓	29.2b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
✓	0.2b	(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 2 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))) (+.f64 alpha (+.f64 beta 3)))
▶	0.6b	(/.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 beta)) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
	44.2b	(/.f64 alpha (*.f64 beta beta))
	4.2b	(/.f64 1 (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 1 beta) (+.f64 1 alpha))))))
	26.2b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	30.6b	(/.f64 1 (*.f64 beta beta))
✓	61.6b	(/.f64 1 (*.f64 alpha alpha))
	35.4b	(/.f64 1/2 (+.f64 6 (*.f64 beta 5)))
	42.1b	(/.f64 1/2 (*.f64 beta (+.f64 beta 5)))
▶	37.2b	(+.f64 1/12 (*.f64 -1/36 beta))
	4.2b	(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 2)))
▶	27.7b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	36.6b	1/12

Compiler

Compiled 909 to 664 computations (27% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))
✓	0.0b	(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2)))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 beta))
✓	0.6b	(/.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 beta)) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 98 to 67 computations (31.6% saved)

series9.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite132.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`+-commutative`
534×	`associate-+l+`
468×	`add-sqr-sqrt`
456×	`pow1`
456×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	166
1	447	154
2	7301	154

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

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

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

simplify206.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1482×	`associate-r`
1458×	`associate-l`
1242×	`+-commutative`
980×	`associate-*r/`
906×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	965	26413
1	3372	24941

Stop Event

1×	node limit

Counts

303 → 546

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/12 (*.f64 -1/36 beta))
✓	0.4b	(*.f64 -1/36 beta)

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	-inf	(*.f64 -1/36 beta)
0.0ms	beta	@	inf	(*.f64 -1/36 beta)
0.0ms	beta	@	0	(*.f64 -1/36 beta)
0.0ms	beta	@	inf	(+.f64 1/12 (*.f64 -1/36 beta))
0.0ms	beta	@	-inf	(+.f64 1/12 (*.f64 -1/36 beta))

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`add-sqr-sqrt`
1502×	`*-un-lft-identity`
1426×	`add-cube-cbrt`
1416×	`add-cbrt-cube`
1402×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	152	16
2	1840	16

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(*.f64 -1/36 beta)
(+.f64 1/12 (*.f64 -1/36 beta))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/36 beta 1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/144 (-.f64 1/12 (*.f64 -1/36 beta))) (/.f64 (*.f64 1/1296 (*.f64 beta beta)) (-.f64 1/12 (*.f64 -1/36 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/36 beta 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/36 beta 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/36 beta 1/12)) (sqrt.f64 (fma.f64 -1/36 beta 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/36 beta 1/12)) (pow.f64 (cbrt.f64 (fma.f64 -1/36 beta 1/12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/36 beta 1/12)) 2) (cbrt.f64 (fma.f64 -1/36 beta 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/144 (*.f64 1/1296 (*.f64 beta beta))) (/.f64 1 (-.f64 1/12 (*.f64 -1/36 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/1728 (*.f64 -1/46656 (pow.f64 beta 3))) (/.f64 1 (+.f64 1/144 (-.f64 (*.f64 1/1296 (*.f64 beta beta)) (*.f64 -1/432 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1/12 (*.f64 -1/36 beta)) (-.f64 1/144 (*.f64 1/1296 (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/144 (-.f64 (*.f64 1/1296 (*.f64 beta beta)) (*.f64 -1/432 beta))) (+.f64 1/1728 (*.f64 -1/46656 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/144 (*.f64 1/1296 (*.f64 beta beta))) (-.f64 1/12 (*.f64 -1/36 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1728 (*.f64 -1/46656 (pow.f64 beta 3))) (+.f64 1/144 (-.f64 (*.f64 1/1296 (*.f64 beta beta)) (*.f64 -1/432 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1728 (*.f64 -1/46656 (pow.f64 beta 3))) (+.f64 (*.f64 1/1296 (*.f64 beta beta)) (-.f64 1/144 (*.f64 -1/432 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/1296 (*.f64 beta beta)) 1/144) (-.f64 (*.f64 -1/36 beta) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/144 (*.f64 1/1296 (*.f64 beta beta)))) (neg.f64 (-.f64 1/12 (*.f64 -1/36 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/1728 (*.f64 -1/46656 (pow.f64 beta 3)))) (neg.f64 (+.f64 1/144 (-.f64 (*.f64 1/1296 (*.f64 beta beta)) (*.f64 -1/432 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/36 beta 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/36 beta 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/36 beta 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/36 beta 1/12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/36 beta 1/12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/36 beta 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/36 beta 1/12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/36 beta 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/36 beta 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/36 beta 1/12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/36 beta 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/36 beta 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta -1/36 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/36 beta) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/36 beta)) (sqrt.f64 (*.f64 -1/36 beta)) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/36 beta)) 2) (cbrt.f64 (*.f64 -1/36 beta)) 1/12)))))

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1018×	`associate-r`
788×	`associate-/r*`
780×	`associate-l`
746×	`associate-+r+`
658×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	1118
1	257	906
2	913	686
3	4147	686

Stop Event

1×	node limit

Counts

48 → 56

Calls

Call 1

Inputs
1/12
(*.f64 -1/36 beta)
(*.f64 -1/36 beta)
(-.f64 (+.f64 1 (*.f64 -1/36 beta)) 1)
(pow.f64 (*.f64 -1/36 beta) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/36 beta)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/36 beta)) 3)
(pow.f64 (*.f64 -1/46656 (pow.f64 beta 3)) 1/3)
(sqrt.f64 (.f64 1/1296 (.f64 beta beta)))
(log.f64 (pow.f64 (exp.f64 beta) -1/36))
(cbrt.f64 (*.f64 -1/46656 (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/36 beta)))
(exp.f64 (log.f64 (*.f64 -1/36 beta)))
(exp.f64 (.f64 (log.f64 (.f64 -1/36 beta)) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/36 beta)))
(-.f64 (+.f64 1 (fma.f64 -1/36 beta 1/12)) 1)
(-.f64 (/.f64 1/144 (-.f64 1/12 (.f64 -1/36 beta))) (/.f64 (.f64 1/1296 (.f64 beta beta)) (-.f64 1/12 (.f64 -1/36 beta))))
(*.f64 (fma.f64 -1/36 beta 1/12) 1)
(*.f64 1 (fma.f64 -1/36 beta 1/12))
(*.f64 (sqrt.f64 (fma.f64 -1/36 beta 1/12)) (sqrt.f64 (fma.f64 -1/36 beta 1/12)))
(*.f64 (cbrt.f64 (fma.f64 -1/36 beta 1/12)) (pow.f64 (cbrt.f64 (fma.f64 -1/36 beta 1/12)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/36 beta 1/12)) 2) (cbrt.f64 (fma.f64 -1/36 beta 1/12)))
(.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta))) (/.f64 1 (-.f64 1/12 (.f64 -1/36 beta))))
(.f64 (+.f64 1/1728 (.f64 -1/46656 (pow.f64 beta 3))) (/.f64 1 (+.f64 1/144 (-.f64 (.f64 1/1296 (.f64 beta beta)) (*.f64 -1/432 beta)))))
(/.f64 1 (/.f64 (-.f64 1/12 (.f64 -1/36 beta)) (-.f64 1/144 (.f64 1/1296 (*.f64 beta beta)))))
(/.f64 1 (/.f64 (+.f64 1/144 (-.f64 (.f64 1/1296 (.f64 beta beta)) (.f64 -1/432 beta))) (+.f64 1/1728 (.f64 -1/46656 (pow.f64 beta 3)))))
(/.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta))) (-.f64 1/12 (*.f64 -1/36 beta)))
(/.f64 (+.f64 1/1728 (.f64 -1/46656 (pow.f64 beta 3))) (+.f64 1/144 (-.f64 (.f64 1/1296 (.f64 beta beta)) (.f64 -1/432 beta))))
(/.f64 (+.f64 1/1728 (.f64 -1/46656 (pow.f64 beta 3))) (+.f64 (.f64 1/1296 (.f64 beta beta)) (-.f64 1/144 (.f64 -1/432 beta))))
(/.f64 (-.f64 (.f64 1/1296 (.f64 beta beta)) 1/144) (-.f64 (*.f64 -1/36 beta) 1/12))
(/.f64 (neg.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta)))) (neg.f64 (-.f64 1/12 (*.f64 -1/36 beta))))
(/.f64 (neg.f64 (+.f64 1/1728 (.f64 -1/46656 (pow.f64 beta 3)))) (neg.f64 (+.f64 1/144 (-.f64 (.f64 1/1296 (.f64 beta beta)) (.f64 -1/432 beta)))))
(pow.f64 (fma.f64 -1/36 beta 1/12) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/36 beta 1/12)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/36 beta 1/12)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/36 beta 1/12) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/36 beta 1/12) 2))
(log.f64 (exp.f64 (fma.f64 -1/36 beta 1/12)))
(cbrt.f64 (pow.f64 (fma.f64 -1/36 beta 1/12) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/36 beta 1/12)))
(exp.f64 (log.f64 (fma.f64 -1/36 beta 1/12)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/36 beta 1/12)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/36 beta 1/12)))
(fma.f64 -1/36 beta 1/12)
(fma.f64 beta -1/36 1/12)
(fma.f64 1 (*.f64 -1/36 beta) 1/12)
(fma.f64 (sqrt.f64 (.f64 -1/36 beta)) (sqrt.f64 (.f64 -1/36 beta)) 1/12)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/36 beta)) 2) (cbrt.f64 (.f64 -1/36 beta)) 1/12)

Outputs
1/12
(*.f64 -1/36 beta)
(*.f64 -1/36 beta)
(-.f64 (+.f64 1 (*.f64 -1/36 beta)) 1)
(*.f64 -1/36 beta)
(pow.f64 (*.f64 -1/36 beta) 1)
(*.f64 -1/36 beta)
(pow.f64 (sqrt.f64 (*.f64 -1/36 beta)) 2)
(*.f64 -1/36 beta)
(pow.f64 (cbrt.f64 (*.f64 -1/36 beta)) 3)
(*.f64 -1/36 beta)
(pow.f64 (*.f64 -1/46656 (pow.f64 beta 3)) 1/3)
(cbrt.f64 (*.f64 -1/46656 (pow.f64 beta 3)))
(sqrt.f64 (.f64 1/1296 (.f64 beta beta)))
(sqrt.f64 (.f64 beta (.f64 beta 1/1296)))
(log.f64 (pow.f64 (exp.f64 beta) -1/36))
(*.f64 -1/36 beta)
(cbrt.f64 (*.f64 -1/46656 (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/36 beta)))
(*.f64 -1/36 beta)
(exp.f64 (log.f64 (*.f64 -1/36 beta)))
(*.f64 -1/36 beta)
(exp.f64 (.f64 (log.f64 (.f64 -1/36 beta)) 1))
(*.f64 -1/36 beta)
(log1p.f64 (expm1.f64 (*.f64 -1/36 beta)))
(*.f64 -1/36 beta)
(-.f64 (+.f64 1 (fma.f64 -1/36 beta 1/12)) 1)
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(-.f64 (/.f64 1/144 (-.f64 1/12 (.f64 -1/36 beta))) (/.f64 (.f64 1/1296 (.f64 beta beta)) (-.f64 1/12 (.f64 -1/36 beta))))
(/.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta))) (+.f64 1/12 (*.f64 1/36 beta)))
(/.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta))) (-.f64 1/12 (*.f64 -1/36 beta)))
(/.f64 (fma.f64 (*.f64 beta beta) -1/1296 1/144) (fma.f64 beta 1/36 1/12))
(/.f64 (fma.f64 beta (*.f64 beta 1/1296) -1/144) (fma.f64 -1/36 beta -1/12))
(*.f64 (fma.f64 -1/36 beta 1/12) 1)
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(*.f64 1 (fma.f64 -1/36 beta 1/12))
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(*.f64 (sqrt.f64 (fma.f64 -1/36 beta 1/12)) (sqrt.f64 (fma.f64 -1/36 beta 1/12)))
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(*.f64 (cbrt.f64 (fma.f64 -1/36 beta 1/12)) (pow.f64 (cbrt.f64 (fma.f64 -1/36 beta 1/12)) 2))
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/36 beta 1/12)) 2) (cbrt.f64 (fma.f64 -1/36 beta 1/12)))
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta))) (/.f64 1 (-.f64 1/12 (.f64 -1/36 beta))))
(/.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta))) (+.f64 1/12 (*.f64 1/36 beta)))
(/.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta))) (-.f64 1/12 (*.f64 -1/36 beta)))
(/.f64 (fma.f64 (*.f64 beta beta) -1/1296 1/144) (fma.f64 beta 1/36 1/12))
(/.f64 (fma.f64 beta (*.f64 beta 1/1296) -1/144) (fma.f64 -1/36 beta -1/12))
(.f64 (+.f64 1/1728 (.f64 -1/46656 (pow.f64 beta 3))) (/.f64 1 (+.f64 1/144 (-.f64 (.f64 1/1296 (.f64 beta beta)) (*.f64 -1/432 beta)))))
(/.f64 (.f64 (+.f64 (.f64 -1/46656 (pow.f64 beta 3)) 1/1728) 1) (+.f64 1/144 (+.f64 (.f64 1/1296 (.f64 beta beta)) (*.f64 1/432 beta))))
(/.f64 (fma.f64 -1/46656 (pow.f64 beta 3) 1/1728) (+.f64 1/144 (.f64 beta (+.f64 (.f64 beta 1/1296) 1/432))))
(/.f64 (fma.f64 -1/46656 (pow.f64 beta 3) 1/1728) (fma.f64 beta (fma.f64 beta 1/1296 1/432) 1/144))
(/.f64 1 (/.f64 (-.f64 1/12 (.f64 -1/36 beta)) (-.f64 1/144 (.f64 1/1296 (*.f64 beta beta)))))
(/.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta))) (+.f64 1/12 (*.f64 1/36 beta)))
(/.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta))) (-.f64 1/12 (*.f64 -1/36 beta)))
(/.f64 (fma.f64 (*.f64 beta beta) -1/1296 1/144) (fma.f64 beta 1/36 1/12))
(/.f64 (fma.f64 beta (*.f64 beta 1/1296) -1/144) (fma.f64 -1/36 beta -1/12))
(/.f64 1 (/.f64 (+.f64 1/144 (-.f64 (.f64 1/1296 (.f64 beta beta)) (.f64 -1/432 beta))) (+.f64 1/1728 (.f64 -1/46656 (pow.f64 beta 3)))))
(/.f64 (.f64 (+.f64 (.f64 -1/46656 (pow.f64 beta 3)) 1/1728) 1) (+.f64 1/144 (+.f64 (.f64 1/1296 (.f64 beta beta)) (*.f64 1/432 beta))))
(/.f64 (fma.f64 -1/46656 (pow.f64 beta 3) 1/1728) (+.f64 1/144 (.f64 beta (+.f64 (.f64 beta 1/1296) 1/432))))
(/.f64 (fma.f64 -1/46656 (pow.f64 beta 3) 1/1728) (fma.f64 beta (fma.f64 beta 1/1296 1/432) 1/144))
(/.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta))) (-.f64 1/12 (*.f64 -1/36 beta)))
(/.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta))) (+.f64 1/12 (*.f64 1/36 beta)))
(/.f64 (fma.f64 (*.f64 beta beta) -1/1296 1/144) (fma.f64 beta 1/36 1/12))
(/.f64 (fma.f64 beta (*.f64 beta 1/1296) -1/144) (fma.f64 -1/36 beta -1/12))
(/.f64 (+.f64 1/1728 (.f64 -1/46656 (pow.f64 beta 3))) (+.f64 1/144 (-.f64 (.f64 1/1296 (.f64 beta beta)) (.f64 -1/432 beta))))
(/.f64 (.f64 (+.f64 (.f64 -1/46656 (pow.f64 beta 3)) 1/1728) 1) (+.f64 1/144 (+.f64 (.f64 1/1296 (.f64 beta beta)) (*.f64 1/432 beta))))
(/.f64 (fma.f64 -1/46656 (pow.f64 beta 3) 1/1728) (+.f64 1/144 (.f64 beta (+.f64 (.f64 beta 1/1296) 1/432))))
(/.f64 (fma.f64 -1/46656 (pow.f64 beta 3) 1/1728) (fma.f64 beta (fma.f64 beta 1/1296 1/432) 1/144))
(/.f64 (+.f64 1/1728 (.f64 -1/46656 (pow.f64 beta 3))) (+.f64 (.f64 1/1296 (.f64 beta beta)) (-.f64 1/144 (.f64 -1/432 beta))))
(/.f64 (.f64 (+.f64 (.f64 -1/46656 (pow.f64 beta 3)) 1/1728) 1) (+.f64 1/144 (+.f64 (.f64 1/1296 (.f64 beta beta)) (*.f64 1/432 beta))))
(/.f64 (fma.f64 -1/46656 (pow.f64 beta 3) 1/1728) (+.f64 1/144 (.f64 beta (+.f64 (.f64 beta 1/1296) 1/432))))
(/.f64 (fma.f64 -1/46656 (pow.f64 beta 3) 1/1728) (fma.f64 beta (fma.f64 beta 1/1296 1/432) 1/144))
(/.f64 (-.f64 (.f64 1/1296 (.f64 beta beta)) 1/144) (-.f64 (*.f64 -1/36 beta) 1/12))
(/.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta))) (+.f64 1/12 (*.f64 1/36 beta)))
(/.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta))) (-.f64 1/12 (*.f64 -1/36 beta)))
(/.f64 (fma.f64 (*.f64 beta beta) -1/1296 1/144) (fma.f64 beta 1/36 1/12))
(/.f64 (fma.f64 beta (*.f64 beta 1/1296) -1/144) (fma.f64 -1/36 beta -1/12))
(/.f64 (neg.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta)))) (neg.f64 (-.f64 1/12 (*.f64 -1/36 beta))))
(/.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta))) (+.f64 1/12 (*.f64 1/36 beta)))
(/.f64 (-.f64 1/144 (.f64 1/1296 (.f64 beta beta))) (-.f64 1/12 (*.f64 -1/36 beta)))
(/.f64 (fma.f64 (*.f64 beta beta) -1/1296 1/144) (fma.f64 beta 1/36 1/12))
(/.f64 (fma.f64 beta (*.f64 beta 1/1296) -1/144) (fma.f64 -1/36 beta -1/12))
(/.f64 (neg.f64 (+.f64 1/1728 (.f64 -1/46656 (pow.f64 beta 3)))) (neg.f64 (+.f64 1/144 (-.f64 (.f64 1/1296 (.f64 beta beta)) (.f64 -1/432 beta)))))
(/.f64 (.f64 (+.f64 (.f64 -1/46656 (pow.f64 beta 3)) 1/1728) 1) (+.f64 1/144 (+.f64 (.f64 1/1296 (.f64 beta beta)) (*.f64 1/432 beta))))
(/.f64 (fma.f64 -1/46656 (pow.f64 beta 3) 1/1728) (+.f64 1/144 (.f64 beta (+.f64 (.f64 beta 1/1296) 1/432))))
(/.f64 (fma.f64 -1/46656 (pow.f64 beta 3) 1/1728) (fma.f64 beta (fma.f64 beta 1/1296 1/432) 1/144))
(pow.f64 (fma.f64 -1/36 beta 1/12) 1)
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(pow.f64 (sqrt.f64 (fma.f64 -1/36 beta 1/12)) 2)
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(pow.f64 (cbrt.f64 (fma.f64 -1/36 beta 1/12)) 3)
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(pow.f64 (pow.f64 (fma.f64 -1/36 beta 1/12) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(sqrt.f64 (pow.f64 (fma.f64 -1/36 beta 1/12) 2))
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(log.f64 (exp.f64 (fma.f64 -1/36 beta 1/12)))
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(cbrt.f64 (pow.f64 (fma.f64 -1/36 beta 1/12) 3))
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(expm1.f64 (log1p.f64 (fma.f64 -1/36 beta 1/12)))
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(exp.f64 (log.f64 (fma.f64 -1/36 beta 1/12)))
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/36 beta 1/12)) 1))
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(log1p.f64 (expm1.f64 (fma.f64 -1/36 beta 1/12)))
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(fma.f64 -1/36 beta 1/12)
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 beta -1/36 1/12)
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(fma.f64 1 (*.f64 -1/36 beta) 1/12)
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(fma.f64 (sqrt.f64 (.f64 -1/36 beta)) (sqrt.f64 (.f64 -1/36 beta)) 1/12)
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/36 beta)) 2) (cbrt.f64 (.f64 -1/36 beta)) 1/12)
(+.f64 1 (-.f64 (fma.f64 -1/36 beta 1/12) 1))
(+.f64 (fma.f64 -1/36 beta 1/12) 0)
(fma.f64 -1/36 beta 1/12)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 16 computations (36% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

Outputs

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

simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

228 → 276

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 1 beta))
	0.0b	(*.f64 (+.f64 beta 3) (+.f64 beta 2))
✓	0.5b	(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))

Compiler

Compiled 40 to 30 computations (25% saved)

series1.0ms (0%)

Counts

2 → 15

Calls

6 calls:

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

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`associate-/r/`
1320×	`associate-/l/`
1236×	`distribute-lft-in`
292×	`add-sqr-sqrt`
280×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	285	50
2	4117	50

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

Outputs

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

simplify108.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

938×	`+-commutative`
934×	`associate-/l*`
816×	`times-frac`
686×	`distribute-lft-in`
640×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	445	8194
1	1429	6936
2	7937	6936

Stop Event

1×	node limit

Counts

152 → 236

Calls

Call 1

Inputs
(/.f64 -1/6 beta)
(-.f64 11/36 (*.f64 1/6 (/.f64 1 beta)))
(-.f64 (+.f64 11/36 (.f64 -49/216 beta)) (.f64 1/6 (/.f64 1 beta)))
(-.f64 (+.f64 11/36 (+.f64 (.f64 -49/216 beta) (.f64 179/1296 (pow.f64 beta 2)))) (*.f64 1/6 (/.f64 1 beta)))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 24 (/.f64 1 (pow.f64 beta 4)))) (.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 24 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 84 (/.f64 1 (pow.f64 beta 5))) (*.f64 6 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 24 (/.f64 1 (pow.f64 beta 4)))) (.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 24 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 84 (/.f64 1 (pow.f64 beta 5))) (*.f64 6 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 -1 beta)
1
1
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (neg.f64 (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 1 (neg.f64 (/.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (+.f64 beta 2)))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 -1 beta)))
(+.f64 (neg.f64 (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 (.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 -1 beta)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (fma.f64 beta beta -4)) beta) (.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (fma.f64 beta beta -4)) -2))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)) (.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (-.f64 4 (.f64 beta 2))))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (-.f64 4 (.f64 beta 2))) (.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)))
(-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 1)
(.f64 1 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(.f64 (+.f64 1 (/.f64 -1 beta)) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 2) (.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (/.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (+.f64 8 (pow.f64 beta 3))))
(.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 1 (/.f64 -1 beta)))
(.f64 (+.f64 (/.f64 1 beta) -1) (/.f64 1 (.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (+.f64 1 (/.f64 -1 beta)) (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 (+.f64 1 (/.f64 -1 beta)) (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (fma.f64 beta beta -4)) (+.f64 beta -2))
(.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))
(.f64 (/.f64 1 (.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))) (+.f64 (/.f64 1 beta) -1))
(.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (+.f64 beta 3)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (+.f64 beta 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (sqrt.f64 (+.f64 1 (/.f64 -1 beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (+.f64 beta 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (+.f64 beta 3)))
(.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 2) (+.f64 beta 3)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) (+.f64 beta 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 2) (+.f64 beta 2)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) (+.f64 beta 3)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 2) (sqrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (/.f64 1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (sqrt.f64 (+.f64 1 (/.f64 -1 beta))))) (sqrt.f64 (+.f64 1 (/.f64 -1 beta))))
(.f64 (/.f64 1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 2))) (cbrt.f64 (+.f64 1 (/.f64 -1 beta))))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) (+.f64 beta -2))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3)))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 2) (fma.f64 beta beta -9))) (+.f64 beta -3))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3)))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (fma.f64 beta beta -9) (+.f64 beta 2))) (+.f64 beta -3))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 beta 2))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (-.f64 (.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta (+.f64 beta 3))) (.f64 (.f64 (+.f64 beta 3) 2) (.f64 (+.f64 beta 3) 2)))) (-.f64 (.f64 beta (+.f64 beta 3)) (*.f64 (+.f64 beta 3) 2)))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 (pow.f64 (.f64 beta (+.f64 beta 3)) 3) (pow.f64 (.f64 (+.f64 beta 3) 2) 3))) (+.f64 (.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta (+.f64 beta 3))) (-.f64 (.f64 (.f64 (+.f64 beta 3) 2) (.f64 (+.f64 beta 3) 2)) (.f64 (.f64 beta (+.f64 beta 3)) (.f64 (+.f64 beta 3) 2)))))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4))) (*.f64 (+.f64 beta -3) (+.f64 beta -2)))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3)))) (.f64 (+.f64 beta -3) (fma.f64 beta beta (-.f64 4 (.f64 beta 2)))))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 27 (pow.f64 beta 3)) (fma.f64 beta beta -4))) (.f64 (fma.f64 beta beta (-.f64 9 (.f64 beta 3))) (+.f64 beta -2)))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (.f64 (fma.f64 beta beta (-.f64 9 (.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -9))) (*.f64 (+.f64 beta -2) (+.f64 beta -3)))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3)))) (.f64 (+.f64 beta -2) (fma.f64 beta beta (-.f64 9 (.f64 beta 3)))))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -9))) (.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (+.f64 beta -3)))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3)))) (.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 2) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (cbrt.f64 (+.f64 1 (/.f64 -1 beta))))
(.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (-.f64 4 (.f64 beta beta))) (-.f64 2 beta))
(*.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (neg.f64 (fma.f64 beta beta -4))) (neg.f64 (+.f64 beta -2)))
(.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (neg.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2)))))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 beta -2)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (-.f64 1 (pow.f64 beta -2))) (+.f64 1 (/.f64 -1 beta)))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 beta -2)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 1 (pow.f64 beta -3))) (+.f64 1 (-.f64 (pow.f64 beta -2) (/.f64 1 beta))))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 beta -3)) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (-.f64 1 (.f64 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)) (+.f64 (/.f64 1 beta) (pow.f64 beta -2))))) (-.f64 (+.f64 1 (/.f64 -1 beta)) (pow.f64 beta -2)))
(.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 beta -3)) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 1 (pow.f64 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)) 3))) (+.f64 1 (-.f64 (.f64 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)) (+.f64 (/.f64 1 beta) (pow.f64 beta -2))) (+.f64 (/.f64 1 beta) (pow.f64 beta -2)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 2)) 1) (/.f64 (+.f64 beta -3) (fma.f64 beta beta -9)))
(.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 2)) 1) (/.f64 (fma.f64 beta beta (-.f64 9 (.f64 beta 3))) (+.f64 27 (pow.f64 beta 3))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 2)) (fma.f64 beta beta -9)) (+.f64 beta -3))
(.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 2)) (+.f64 27 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 9 (.f64 beta 3))))
(.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 2)) (-.f64 9 (.f64 beta beta))) (-.f64 3 beta))
(*.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 2)) (neg.f64 (fma.f64 beta beta -9))) (neg.f64 (+.f64 beta -3)))
(.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 2)) (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (neg.f64 (fma.f64 beta beta (-.f64 9 (.f64 beta 3)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 3))) (sqrt.f64 (fma.f64 beta beta -4))) (sqrt.f64 (+.f64 beta -2)))
(.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 3))) (sqrt.f64 (+.f64 8 (pow.f64 beta 3)))) (sqrt.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 3))) (cbrt.f64 (fma.f64 beta beta -4))) (cbrt.f64 (+.f64 beta -2)))
(.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 3))) (cbrt.f64 (+.f64 8 (pow.f64 beta 3)))) (cbrt.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 1 (/.f64 -1 beta)))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -1 beta)) 3) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 beta)) (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(exp.f64 (.f64 (-.f64 (log1p.f64 (/.f64 -1 beta)) (log.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 1 (/.f64 -1 beta))
(+.f64 (/.f64 -1 beta) 1)
(+.f64 (-.f64 1 (+.f64 1 (/.f64 1 beta))) 1)
(*.f64 1 (+.f64 1 (/.f64 -1 beta)))
(*.f64 (+.f64 1 (/.f64 -1 beta)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) (sqrt.f64 (+.f64 1 (/.f64 -1 beta))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1 beta))))
(*.f64 (-.f64 1 (pow.f64 beta -2)) (/.f64 1 (+.f64 1 (/.f64 1 beta))))
(*.f64 (-.f64 1 (pow.f64 beta -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 1 beta))) (-.f64 1 (pow.f64 beta -2)))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)))) (-.f64 1 (pow.f64 beta -3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 beta -2)) (-.f64 1 (pow.f64 beta -2))) (+.f64 1 (/.f64 -1 beta)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 beta -2)) (+.f64 1 (pow.f64 beta -3))) (+.f64 1 (-.f64 (pow.f64 beta -2) (/.f64 1 beta))))
(.f64 (/.f64 (-.f64 1 (pow.f64 beta -3)) (-.f64 1 (.f64 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)) (+.f64 (/.f64 1 beta) (pow.f64 beta -2))))) (-.f64 (+.f64 1 (/.f64 -1 beta)) (pow.f64 beta -2)))
(.f64 (/.f64 (-.f64 1 (pow.f64 beta -3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)) 3))) (+.f64 1 (-.f64 (.f64 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)) (+.f64 (/.f64 1 beta) (pow.f64 beta -2))) (+.f64 (/.f64 1 beta) (pow.f64 beta -2)))))
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 -1 beta))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 beta)) (-.f64 1 (pow.f64 beta -2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2))) (-.f64 1 (pow.f64 beta -3))))
(/.f64 (+.f64 1 (/.f64 -1 beta)) 1)
(/.f64 (-.f64 1 (pow.f64 beta -2)) (+.f64 1 (/.f64 1 beta)))
(/.f64 (-.f64 1 (pow.f64 beta -3)) (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 beta -2))) (neg.f64 (+.f64 1 (/.f64 1 beta))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 beta -2))) (*.f64 1 (neg.f64 (+.f64 1 (/.f64 1 beta)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 beta -3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 beta -3))) (*.f64 1 (neg.f64 (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2))))))
(/.f64 (-.f64 1 (*.f64 (/.f64 -1 beta) (/.f64 -1 beta))) (+.f64 1 (/.f64 1 beta)))
(/.f64 (-.f64 1 (.f64 (pow.f64 beta -2) (pow.f64 beta -2))) (.f64 (+.f64 1 (/.f64 1 beta)) (+.f64 1 (pow.f64 beta -2))))
(/.f64 (-.f64 1 (.f64 (pow.f64 beta -3) (pow.f64 beta -3))) (.f64 (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2))) (+.f64 1 (pow.f64 beta -3))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 -1 beta) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 -1 beta) (/.f64 -1 beta)) (/.f64 -1 beta))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 -1 beta) 3)) (.f64 1 (+.f64 1 (-.f64 (.f64 (/.f64 -1 beta) (/.f64 -1 beta)) (/.f64 -1 beta)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 beta -2) 3)) (.f64 (+.f64 1 (/.f64 1 beta)) (+.f64 1 (+.f64 (pow.f64 beta -2) (.f64 (pow.f64 beta -2) (pow.f64 beta -2))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 beta -3) 3)) (.f64 (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2))) (+.f64 1 (+.f64 (pow.f64 beta -3) (.f64 (pow.f64 beta -3) (pow.f64 beta -3))))))
(pow.f64 (+.f64 1 (/.f64 -1 beta)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 -1 beta)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 beta)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 -1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 -1 beta)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 beta)) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 -1 beta))))
(exp.f64 (log1p.f64 (/.f64 -1 beta)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 -1 beta)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -1 beta))))

Outputs
(/.f64 -1/6 beta)
(-.f64 11/36 (*.f64 1/6 (/.f64 1 beta)))
(-.f64 11/36 (/.f64 1/6 beta))
(+.f64 11/36 (/.f64 -1/6 beta))
(-.f64 (+.f64 11/36 (.f64 -49/216 beta)) (.f64 1/6 (/.f64 1 beta)))
(+.f64 11/36 (-.f64 (*.f64 beta -49/216) (/.f64 1/6 beta)))
(+.f64 (fma.f64 beta -49/216 11/36) (/.f64 -1/6 beta))
(-.f64 (+.f64 11/36 (+.f64 (.f64 -49/216 beta) (.f64 179/1296 (pow.f64 beta 2)))) (*.f64 1/6 (/.f64 1 beta)))
(+.f64 11/36 (-.f64 (fma.f64 -49/216 beta (.f64 179/1296 (.f64 beta beta))) (/.f64 1/6 beta)))
(+.f64 (fma.f64 beta -49/216 11/36) (+.f64 (.f64 beta (.f64 beta 179/1296)) (/.f64 -1/6 beta)))
(+.f64 (+.f64 11/36 (/.f64 -1/6 beta)) (fma.f64 beta -49/216 (.f64 beta (.f64 beta 179/1296))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 6 (pow.f64 beta 3)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 -6 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 24 (/.f64 1 (pow.f64 beta 4)))) (.f64 6 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 24 (pow.f64 beta 4)) (/.f64 6 (pow.f64 beta 3))))
(+.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 (/.f64 24 (pow.f64 beta 4)) (/.f64 -6 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 24 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 84 (/.f64 1 (pow.f64 beta 5))) (*.f64 6 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 24 (pow.f64 beta 4))) (+.f64 (/.f64 6 (pow.f64 beta 3)) (/.f64 84 (pow.f64 beta 5))))
(+.f64 (+.f64 (/.f64 24 (pow.f64 beta 4)) (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 84 (pow.f64 beta 5)))) (/.f64 -6 (pow.f64 beta 3)))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 6 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 6 (pow.f64 beta 3)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 -6 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 24 (/.f64 1 (pow.f64 beta 4)))) (.f64 6 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 24 (pow.f64 beta 4)) (/.f64 6 (pow.f64 beta 3))))
(+.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 (/.f64 24 (pow.f64 beta 4)) (/.f64 -6 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 24 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 84 (/.f64 1 (pow.f64 beta 5))) (*.f64 6 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 24 (pow.f64 beta 4))) (+.f64 (/.f64 6 (pow.f64 beta 3)) (/.f64 84 (pow.f64 beta 5))))
(+.f64 (+.f64 (/.f64 24 (pow.f64 beta 4)) (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 84 (pow.f64 beta 5)))) (/.f64 -6 (pow.f64 beta 3)))
(/.f64 -1 beta)
1
1
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (neg.f64 (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2))))
(-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 1 (.f64 (+.f64 beta 2) (.f64 beta (+.f64 beta 3)))))
(/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 1 (neg.f64 (/.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (+.f64 beta 2)))))
(-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 1 (.f64 (+.f64 beta 2) (.f64 beta (+.f64 beta 3)))))
(/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 -1 beta)))
(-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 1 (.f64 (+.f64 beta 2) (.f64 beta (+.f64 beta 3)))))
(/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (neg.f64 (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 1 (.f64 (+.f64 beta 2) (.f64 beta (+.f64 beta 3)))))
(/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 -1 beta)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 1 (.f64 (+.f64 beta 2) (.f64 beta (+.f64 beta 3)))))
(/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (fma.f64 beta beta -4)) beta) (.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (fma.f64 beta beta -4)) -2))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (fma.f64 beta beta -4)) (/.f64 (+.f64 beta -2) (+.f64 beta 3)))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)) (.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (-.f64 4 (.f64 beta 2))))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (/.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (+.f64 (pow.f64 beta 3) 8)))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(+.f64 (.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (-.f64 4 (.f64 beta 2))) (.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (+.f64 beta 3)) (/.f64 (fma.f64 beta beta (-.f64 4 (.f64 beta 2))) (+.f64 (pow.f64 beta 3) 8)))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 beta 2)))
(-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 1 (.f64 (+.f64 beta 2) (.f64 beta (+.f64 beta 3)))))
(/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 1)
(-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 1 (.f64 (+.f64 beta 2) (.f64 beta (+.f64 beta 3)))))
(/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(.f64 1 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 1 (.f64 (+.f64 beta 2) (.f64 beta (+.f64 beta 3)))))
(/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(.f64 (+.f64 1 (/.f64 -1 beta)) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 1 (.f64 (+.f64 beta 2) (.f64 beta (+.f64 beta 3)))))
(/.f64 (+.f64 1 (/.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(.f64 (/.f64 (+.f64 1 (/.f64 -1 beta)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
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(*.f64 (/.f64 (-.f64 1 (pow.f64 beta -2)) (+.f64 1 (pow.f64 beta -3))) (+.f64 1 (-.f64 (pow.f64 beta -2) (/.f64 1 beta))))
(*.f64 (+.f64 1 (-.f64 (pow.f64 beta -2) (/.f64 1 beta))) (/.f64 (-.f64 1 (pow.f64 beta -2)) (+.f64 1 (pow.f64 beta -3))))
(*.f64 (+.f64 1 (+.f64 (/.f64 -1 beta) (pow.f64 beta -2))) (/.f64 (-.f64 1 (pow.f64 beta -2)) (+.f64 1 (pow.f64 beta -3))))
(.f64 (/.f64 (-.f64 1 (pow.f64 beta -3)) (-.f64 1 (.f64 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)) (+.f64 (/.f64 1 beta) (pow.f64 beta -2))))) (-.f64 (+.f64 1 (/.f64 -1 beta)) (pow.f64 beta -2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 beta -3)) (+.f64 1 (-.f64 (/.f64 -1 beta) (pow.f64 beta -2)))) (-.f64 1 (.f64 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)) (+.f64 (/.f64 1 beta) (pow.f64 beta -2)))))
(.f64 (-.f64 (+.f64 1 (/.f64 -1 beta)) (pow.f64 beta -2)) (/.f64 (-.f64 1 (pow.f64 beta -3)) (+.f64 1 (.f64 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)) (-.f64 (/.f64 -1 beta) (pow.f64 beta -2))))))
(.f64 (/.f64 (-.f64 1 (pow.f64 beta -3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)) 3))) (+.f64 1 (-.f64 (.f64 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)) (+.f64 (/.f64 1 beta) (pow.f64 beta -2))) (+.f64 (/.f64 1 beta) (pow.f64 beta -2)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 beta -3)) (+.f64 1 (-.f64 (.f64 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)) (+.f64 (/.f64 1 beta) (pow.f64 beta -2))) (+.f64 (/.f64 1 beta) (pow.f64 beta -2))))) (+.f64 1 (pow.f64 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)) 3)))
(*.f64 (-.f64 (fma.f64 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)) (+.f64 (/.f64 1 beta) (pow.f64 beta -2)) (/.f64 -1 beta)) (-.f64 (pow.f64 beta -2) 1)) (/.f64 (-.f64 1 (pow.f64 beta -3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)) 3))))
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 -1 beta))))
(+.f64 1 (/.f64 -1 beta))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 beta)) (-.f64 1 (pow.f64 beta -2))))
(*.f64 (-.f64 1 (pow.f64 beta -2)) (/.f64 1 (+.f64 1 (/.f64 1 beta))))
(/.f64 (-.f64 1 (pow.f64 beta -2)) (+.f64 1 (/.f64 1 beta)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2))) (-.f64 1 (pow.f64 beta -3))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 beta -3))) (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2))))
(/.f64 (-.f64 1 (pow.f64 beta -3)) (+.f64 (pow.f64 beta -2) (+.f64 1 (/.f64 1 beta))))
(/.f64 (+.f64 1 (/.f64 -1 beta)) 1)
(+.f64 1 (/.f64 -1 beta))
(/.f64 (-.f64 1 (pow.f64 beta -2)) (+.f64 1 (/.f64 1 beta)))
(*.f64 (-.f64 1 (pow.f64 beta -2)) (/.f64 1 (+.f64 1 (/.f64 1 beta))))
(/.f64 (-.f64 1 (pow.f64 beta -3)) (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 beta -3))) (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2))))
(/.f64 (-.f64 1 (pow.f64 beta -3)) (+.f64 (pow.f64 beta -2) (+.f64 1 (/.f64 1 beta))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 beta -2))) (neg.f64 (+.f64 1 (/.f64 1 beta))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 beta -2))) (+.f64 -1 (neg.f64 (/.f64 1 beta))))
(/.f64 (+.f64 -1 (pow.f64 beta -2)) (+.f64 -1 (/.f64 -1 beta)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 beta -2))) (*.f64 1 (neg.f64 (+.f64 1 (/.f64 1 beta)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 beta -2))) (+.f64 -1 (neg.f64 (/.f64 1 beta))))
(/.f64 (+.f64 -1 (pow.f64 beta -2)) (+.f64 -1 (/.f64 -1 beta)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 beta -3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)))))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 beta -3)) (neg.f64 (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2))))))
(/.f64 (+.f64 -1 (pow.f64 beta -3)) (+.f64 -1 (-.f64 (/.f64 -1 beta) (pow.f64 beta -2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 beta -3))) (*.f64 1 (neg.f64 (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2))))))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 beta -3)) (neg.f64 (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2))))))
(/.f64 (+.f64 -1 (pow.f64 beta -3)) (+.f64 -1 (-.f64 (/.f64 -1 beta) (pow.f64 beta -2))))
(/.f64 (-.f64 1 (*.f64 (/.f64 -1 beta) (/.f64 -1 beta))) (+.f64 1 (/.f64 1 beta)))
(*.f64 (-.f64 1 (pow.f64 beta -2)) (/.f64 1 (+.f64 1 (/.f64 1 beta))))
(/.f64 (-.f64 1 (pow.f64 beta -2)) (+.f64 1 (/.f64 1 beta)))
(/.f64 (-.f64 1 (.f64 (pow.f64 beta -2) (pow.f64 beta -2))) (.f64 (+.f64 1 (/.f64 1 beta)) (+.f64 1 (pow.f64 beta -2))))
(/.f64 (-.f64 1 (pow.f64 beta -4)) (*.f64 (+.f64 1 (/.f64 1 beta)) (+.f64 1 (pow.f64 beta -2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 beta -4)) (+.f64 1 (/.f64 1 beta))) (+.f64 1 (pow.f64 beta -2)))
(/.f64 (-.f64 1 (.f64 (pow.f64 beta -3) (pow.f64 beta -3))) (.f64 (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2))) (+.f64 1 (pow.f64 beta -3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 beta -6)) (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)))) (+.f64 1 (pow.f64 beta -3)))
(/.f64 (-.f64 1 (pow.f64 beta -6)) (*.f64 (+.f64 1 (pow.f64 beta -3)) (+.f64 (pow.f64 beta -2) (+.f64 1 (/.f64 1 beta)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 -1 beta) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 -1 beta) (/.f64 -1 beta)) (/.f64 -1 beta))))
(/.f64 (+.f64 1 (/.f64 -1 (pow.f64 beta 3))) (+.f64 1 (-.f64 (*.f64 (/.f64 -1 beta) (/.f64 -1 beta)) (/.f64 -1 beta))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 -1 beta) 3)) (+.f64 1 (+.f64 (/.f64 1 beta) (/.f64 (/.f64 1 beta) beta))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 -1 beta) 3)) (.f64 1 (+.f64 1 (-.f64 (.f64 (/.f64 -1 beta) (/.f64 -1 beta)) (/.f64 -1 beta)))))
(/.f64 (+.f64 1 (/.f64 -1 (pow.f64 beta 3))) (+.f64 1 (-.f64 (*.f64 (/.f64 -1 beta) (/.f64 -1 beta)) (/.f64 -1 beta))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 -1 beta) 3)) (+.f64 1 (+.f64 (/.f64 1 beta) (/.f64 (/.f64 1 beta) beta))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 beta -2) 3)) (.f64 (+.f64 1 (/.f64 1 beta)) (+.f64 1 (+.f64 (pow.f64 beta -2) (.f64 (pow.f64 beta -2) (pow.f64 beta -2))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 beta -2) 3)) (+.f64 1 (/.f64 1 beta))) (+.f64 1 (+.f64 (pow.f64 beta -2) (pow.f64 beta -4))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 beta -2) 3)) (*.f64 (+.f64 1 (/.f64 1 beta)) (+.f64 (pow.f64 beta -2) (+.f64 (pow.f64 beta -4) 1))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 beta -2) 3)) (*.f64 (+.f64 1 (/.f64 1 beta)) (+.f64 (pow.f64 beta -2) (+.f64 1 (pow.f64 beta -4)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 beta -3) 3)) (.f64 (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2))) (+.f64 1 (+.f64 (pow.f64 beta -3) (.f64 (pow.f64 beta -3) (pow.f64 beta -3))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 beta -3) 3)) (+.f64 1 (+.f64 (/.f64 1 beta) (pow.f64 beta -2)))) (+.f64 1 (+.f64 (pow.f64 beta -3) (pow.f64 beta -6))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 beta -3) 3)) (*.f64 (+.f64 (pow.f64 beta -2) (+.f64 1 (/.f64 1 beta))) (+.f64 1 (+.f64 (pow.f64 beta -3) (pow.f64 beta -6)))))
(pow.f64 (+.f64 1 (/.f64 -1 beta)) 1)
(+.f64 1 (/.f64 -1 beta))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 beta))) 2)
(+.f64 1 (/.f64 -1 beta))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 beta))) 3)
(+.f64 1 (/.f64 -1 beta))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 -1 beta)) 3) 1/3)
(+.f64 1 (/.f64 -1 beta))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 beta)) 2))
(fabs.f64 (+.f64 1 (/.f64 -1 beta)))
(log.f64 (exp.f64 (+.f64 1 (/.f64 -1 beta))))
(+.f64 1 (/.f64 -1 beta))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 -1 beta)))))
(+.f64 1 (/.f64 -1 beta))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 beta)) 3))
(+.f64 1 (/.f64 -1 beta))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 -1 beta))))
(exp.f64 (log1p.f64 (/.f64 -1 beta)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 -1 beta)) 1))
(exp.f64 (log1p.f64 (/.f64 -1 beta)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -1 beta))))
(+.f64 1 (/.f64 -1 beta))

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 56 to 39 computations (30.4% saved)

series9.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite143.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 182

Calls

Call 1

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

Outputs

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

simplify146.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	811	20104
1	2958	19740

Stop Event

1×	node limit

Counts

230 → 417

Calls

Call 1

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

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

eval1.8s (8.3%)

Compiler: Compiled 54975 to 40340 computations (26.6% saved)

prune480.0ms (2.2%)

Pruning

38 alts after pruning (34 fresh and 4 done)

	Pruned	Kept	Total
New	1601	13	1614
Fresh	2	21	23
Picked	0	1	1
Done	5	3	8
Total	1608	38	1646

Error

Counts

1646 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	30.2b	(pow.f64 beta -2)
	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))) (+.f64 alpha (+.f64 2 beta)))
	30.2b	(/.f64 (/.f64 (+.f64 (/.f64 1 beta) -1) (+.f64 beta 3)) (-.f64 -2 beta))
✓	5.5b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))
	35.2b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 6 (*.f64 beta 5)))
	36.6b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 6)
✓	22.2b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	16.7b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	27.1b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	34.6b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
	27.6b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	30.7b	(/.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	25.1b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
	16.7b	(/.f64 (/.f64 1 (+.f64 alpha 2)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
	30.3b	(/.f64 (/.f64 1 beta) beta)
	60.8b	(/.f64 (-.f64 1 (/.f64 1 beta)) (+.f64 6 (*.f64 beta 5)))
	8.9b	(/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (-.f64 -2 beta))))
	35.0b	(/.f64 (+.f64 beta 1) (.f64 (.f64 beta beta) (+.f64 beta 2)))
	16.7b	(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
	24.8b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	24.8b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
✓	29.2b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	22.2b	(/.f64 (.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
	44.2b	(/.f64 alpha (*.f64 beta beta))
	4.2b	(/.f64 1 (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 1 beta) (+.f64 1 alpha))))))
	26.2b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	30.6b	(/.f64 1 (*.f64 beta beta))
	35.4b	(/.f64 1/2 (+.f64 6 (*.f64 beta 5)))
	42.1b	(/.f64 1/2 (*.f64 beta (+.f64 beta 5)))
	62.4b	(/.f64 1/2 alpha)
	61.6b	(/.f64 -1/6 beta)
	28.1b	(/.f64 -1 (*.f64 beta (/.f64 beta (-.f64 -1 alpha))))
✓	37.2b	(+.f64 1/12 (*.f64 -1/36 beta))
	4.2b	(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 2)))
	42.8b	(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
	22.9b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))) (/.f64 (+.f64 1 alpha) (.f64 (sqrt.f64 (+.f64 (+.f64 beta 3) alpha)) (fma.f64 alpha 2 (+.f64 beta 3)))))
	27.7b	(*.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (/.f64 1 beta))
	36.6b	1/12

Compiler

Compiled 541 to 401 computations (25.9% saved)

regimes118.0ms (0.5%)

Counts

72 → 1

Calls

Call 1

Inputs
1/12
(/.f64 -1/6 beta)
(/.f64 1/2 alpha)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 beta (+.f64 beta 5)))
(/.f64 1/2 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 -1 (*.f64 beta (/.f64 beta (-.f64 -1 alpha))))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 1/6 (*.f64 alpha 1/6)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 6)
(*.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (/.f64 1 beta))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 beta 1) (.f64 (.f64 beta beta) (+.f64 beta 2)))
(/.f64 (-.f64 1 (/.f64 1 beta)) (+.f64 6 (*.f64 beta 5)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 6 (*.f64 beta 5)))
(/.f64 (/.f64 (+.f64 (/.f64 1 beta) -1) (+.f64 beta 3)) (-.f64 -2 beta))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (-.f64 -2 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 alpha 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 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
(/.f64 (/.f64 1 (+.f64 alpha 2)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 6 (.f64 beta 5)))
(/.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 beta) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 1 beta) (+.f64 1 alpha))))))
(/.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1 beta)) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.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 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (.f64 beta alpha)) (/.f64 (.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(pow.f64 beta -2)
(.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 3 beta)) (-.f64 -1 alpha))) (/.f64 -1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 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 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) 2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))) (/.f64 (+.f64 1 alpha) (.f64 (sqrt.f64 (+.f64 (+.f64 beta 3) alpha)) (fma.f64 alpha 2 (+.f64 beta 3)))))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 2 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))) (+.f64 alpha (+.f64 beta 3)))

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

Calls

3 calls:

36.0ms

alpha

34.0ms

beta

22.0ms

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

Results

Error	Segments	Branch
0.1b	1	`alpha`
0.1b	1	`beta`
0.1b	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))`

Compiler

Compiled 1224 to 800 computations (34.6% saved)

regimes84.0ms (0.4%)

Counts

54 → 1

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	alpha
27.0ms	beta

Results

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

Compiler

Compiled 710 to 471 computations (33.7% saved)

regimes123.0ms (0.6%)

Counts

53 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

56.0ms	beta
51.0ms	alpha

Results

Error	Segments	Branch
0.5b	2	`alpha`
0.1b	2	`beta`

Compiler

Compiled 685 to 454 computations (33.7% saved)

bsearch3.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
2.0ms	1.374418590587948e+148	1.9171032894054584e+152

Results

2.0ms

16×

body

256

valid

Compiler

Compiled 90 to 63 computations (30% saved)

regimes107.0ms (0.5%)

Counts

50 → 2

Calls

Call 1

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

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

Calls

2 calls:

49.0ms	alpha
45.0ms	beta

Results

Error	Segments	Branch
1.5b	2	`alpha`
1.0b	2	`beta`

Compiler

Compiled 610 to 404 computations (33.8% saved)

bsearch41.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
41.0ms	0.010604224744836247	1.6734098425744068

Results

39.0ms

112×

body

256

valid

Compiler

Compiled 322 to 245 computations (23.9% saved)

regimes112.0ms (0.5%)

Counts

39 → 2

Calls

Call 1

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

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:

68.0ms	beta
35.0ms	alpha

Results

Error	Segments	Branch
1.7b	2	`alpha`
1.0b	2	`beta`

Compiler

Compiled 389 to 264 computations (32.1% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	0.010604224744836247	1.6734098425744068

Results

16.0ms

112×

body

256

valid

Compiler

Compiled 308 to 231 computations (25% saved)

regimes155.0ms (0.7%)

Counts

36 → 2

Calls

Call 1

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

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

Calls

2 calls:

89.0ms	beta
58.0ms	alpha

Results

Error	Segments	Branch
1.8b	2	`alpha`
1.5b	2	`beta`

Compiler

Compiled 336 to 231 computations (31.3% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	165559892792914.16	114874168602566600.0

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 314 to 236 computations (24.8% saved)

regimes71.0ms (0.3%)

Counts

35 → 2

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	beta
31.0ms	alpha

Results

Error	Segments	Branch
2.0b	2	`alpha`
1.5b	2	`beta`

Compiler

Compiled 319 to 218 computations (31.7% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	165559892792914.16	114874168602566600.0

Results

16.0ms

128×

body

256

valid

Compiler

Compiled 298 to 220 computations (26.2% saved)

regimes93.0ms (0.4%)

Counts

32 → 2

Calls

Call 1

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

Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

56.0ms	alpha
29.0ms	beta

Results

Error	Segments	Branch
13.1b	2	`alpha`
2.3b	2	`beta`

Compiler

Compiled 274 to 185 computations (32.5% saved)

bsearch67.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
66.0ms	1.6734098425744068	2341366.2968097916

Results

64.0ms

144×

body

256

valid

Compiler

Compiled 240 to 181 computations (24.6% saved)

regimes69.0ms (0.3%)

Counts

26 → 2

Calls

Call 1

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

Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)

Calls

2 calls:

38.0ms	alpha
26.0ms	beta

Results

Error	Segments	Branch
13.1b	2	`alpha`
2.3b	2	`beta`

Compiler

Compiled 198 to 131 computations (33.8% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	1.6734098425744068	2341366.2968097916

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 204 to 154 computations (24.5% saved)

regimes106.0ms (0.5%)

Counts

13 → 3

Calls

Call 1

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

Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))

Calls

2 calls:

81.0ms	alpha
22.0ms	beta

Results

Error	Segments	Branch
21.4b	5	`alpha`
2.6b	3	`beta`

Compiler

Compiled 75 to 46 computations (38.7% saved)

bsearch31.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	1.1311672919398104e+154	1.854731642356689e+155
22.0ms	1.6734098425744068	2341366.2968097916

Results

28.0ms

192×

body

256

valid

Compiler

Compiled 264 to 196 computations (25.8% saved)

regimes106.0ms (0.5%)

Counts

11 → 3

Calls

Call 1

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

Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 1 beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))

Calls

2 calls:

80.0ms	alpha
24.0ms	beta

Results

Error	Segments	Branch
19.9b	7	`alpha`
3.7b	3	`beta`

Compiler

Compiled 61 to 40 computations (34.4% saved)

bsearch43.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	7.930674333046978e+155	9.78078295922308e+161
22.0ms	1.6734098425744068	2341366.2968097916

Results

40.0ms

288×

body

256

valid

Compiler

Compiled 348 to 262 computations (24.7% saved)

regimes73.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

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

Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 1 beta) beta)

Calls

2 calls:

60.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
22.3b	6	`alpha`
5.0b	2	`beta`

Compiler

Compiled 40 to 25 computations (37.5% saved)

bsearch40.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
40.0ms	1.6734098425744068	2341366.2968097916

Results

38.0ms

144×

body

256

valid

Compiler

Compiled 186 to 145 computations (22% saved)

regimes84.0ms (0.4%)

Counts

7 → 2

Calls

Call 1

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

Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 1 (*.f64 beta beta))

Calls

2 calls:

71.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
22.6b	6	`alpha`
5.3b	2	`beta`

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch48.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
47.0ms	1.6734098425744068	2341366.2968097916

Results

46.0ms

144×

body

256

valid

Compiler

Compiled 186 to 145 computations (22% saved)

regimes14.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	alpha
5.0ms	beta

Results

Error	Segments	Branch
35.5b	2	`alpha`
36.6b	1	`beta`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	2.5539903010897483e-11	3355.3267237772684

Results

22.0ms

160×

body

256

valid

Compiler

Compiled 162 to 128 computations (21% saved)

regimes20.0ms (0.1%)

Accuracy

Total -26.5b remaining (-72.4%)

Threshold costs -26.5b (-72.4%)

Counts

4 → 1

Calls

Call 1

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

Outputs
1/12

Calls

2 calls:

15.0ms	alpha
4.0ms	beta

Results

Error	Segments	Branch
36.6b	1	`alpha`
36.6b	1	`beta`

Compiler

Compiled 20 to 15 computations (25% saved)

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

42×	`+-commutative`
28×	`*-commutative`
14×	`sub-neg`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	977
1	152	977
2	165	977
3	180	977
4	185	977
5	186	977

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 20000000000000000979534531503010411591444540070614877774900847491803365271867695123224630584945529275862261293630205535241068658373251704342045523968) (/.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 6980579422424269/4503599627370496) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5224175567749775/9007199254740992) (/.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 23000000000000000) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7000000000000000) (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (-.f64 -2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5/2) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3152519739159347/1125899906842624) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 11/4) (+.f64 1/12 (.f64 -1/36 beta)) (if (<=.f64 beta 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864) (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 11/4) (+.f64 1/12 (.f64 -1/36 beta)) (if (<=.f64 beta 81999999999999999598804870000796908246865296682917498646701082473776851320525997480973245935979023657602177336487250090640671628296070080286320595147108315561984) (/.f64 (/.f64 1 beta) beta) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 11/4) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 11/4) (+.f64 1/12 (.f64 -1/36 beta)) (/.f64 1 (.f64 beta beta)))
(if (<=.f64 alpha 3884354678607053/1125899906842624) 1/12 (/.f64 1 (*.f64 alpha alpha)))
1/12

Outputs
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 20000000000000000979534531503010411591444540070614877774900847491803365271867695123224630584945529275862261293630205535241068658373251704342045523968) (/.f64 (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 20000000000000000979534531503010411591444540070614877774900847491803365271867695123224630584945529275862261293630205535241068658373251704342045523968) (/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 6980579422424269/4503599627370496) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 6980579422424269/4503599627370496) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (/.f64 (.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 6980579422424269/4503599627370496) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (/.f64 (.f64 (/.f64 1 (+.f64 -3 (-.f64 (*.f64 alpha -2) beta))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5224175567749775/9007199254740992) (/.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 5224175567749775/9007199254740992) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) (.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 23000000000000000) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 23000000000000000) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7000000000000000) (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (-.f64 -2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7000000000000000) (/.f64 (-.f64 -1 beta) (.f64 (+.f64 beta 2) (.f64 (+.f64 beta 3) (-.f64 -2 beta)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5/2) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5/2) (+.f64 1/12 (*.f64 beta -1/36)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3152519739159347/1125899906842624) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 3152519739159347/1125899906842624) (+.f64 1/12 (*.f64 beta -1/36)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 11/4) (+.f64 1/12 (.f64 -1/36 beta)) (if (<=.f64 beta 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864) (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 11/4) (+.f64 1/12 (.f64 beta -1/36)) (if (<=.f64 beta 20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864) (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 11/4) (+.f64 1/12 (.f64 -1/36 beta)) (if (<=.f64 beta 81999999999999999598804870000796908246865296682917498646701082473776851320525997480973245935979023657602177336487250090640671628296070080286320595147108315561984) (/.f64 (/.f64 1 beta) beta) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 11/4) (+.f64 1/12 (.f64 beta -1/36)) (if (<=.f64 beta 81999999999999999598804870000796908246865296682917498646701082473776851320525997480973245935979023657602177336487250090640671628296070080286320595147108315561984) (/.f64 (/.f64 1 beta) beta) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 11/4) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 11/4) (+.f64 1/12 (*.f64 beta -1/36)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 11/4) (+.f64 1/12 (.f64 -1/36 beta)) (/.f64 1 (.f64 beta beta)))
(if (<=.f64 beta 11/4) (+.f64 1/12 (.f64 beta -1/36)) (/.f64 1 (.f64 beta beta)))
(if (<=.f64 alpha 3884354678607053/1125899906842624) 1/12 (/.f64 1 (*.f64 alpha alpha)))
1/12

Compiler

Compiled 389 to 282 computations (27.5% saved)

soundness1.6s (7.5%)

Algorithm

3×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	38	75
2	117	75
3	494	73
4	2614	73
5	3312	73
6	3575	73
7	4028	73
8	4449	73
9	4462	73
10	4697	73
11	4824	73
12	4967	73
13	5267	73
14	5933	73
15	6131	73
16	6154	73
17	6161	73
18	6168	73
19	6175	73
20	6182	73
21	6189	73
22	6196	73
23	6203	73
24	7340	73
25	7347	73
26	7354	73
27	7361	73
28	7368	73
29	7375	73
30	7382	73
31	7389	73
32	7396	73
33	7403	73
34	7410	73
35	7417	73
36	7424	73
37	7431	73
38	7438	73
39	7445	73
0	16	79
1	38	75
2	117	75
3	494	73
4	2614	73
5	3312	73
6	3575	73
7	4028	73
8	4449	73
9	4462	73
10	4697	73
11	4824	73
12	4967	73
13	5267	73
14	5933	73
15	6131	73
16	6154	73
17	6161	73
18	6168	73
19	6175	73
20	6182	73
21	6189	73
22	6196	73
23	6203	73
24	7340	73
25	7347	73
26	7354	73
27	7361	73
28	7368	73
29	7375	73
30	7382	73
31	7389	73
32	7396	73
33	7403	73
34	7410	73
35	7417	73
36	7424	73
37	7431	73
38	7438	73
39	7445	73
0	961	25429
1	3442	25237

Stop Event

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

Compiler

Compiled 215 to 131 computations (39.1% saved)

end262.0ms (1.2%)

Compiler: Compiled 457 to 320 computations (30% saved)