Details

analyze49.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.3s (6.6%)

Results

1.3s

8256×

body

256

valid

Bogosity

preprocess344.0ms (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)

simplify618.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs

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

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

eval3.0ms (0%)

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

prune7.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Error

0.0b

Counts

10 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.6b	(/.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)))
▶	4.6b	(/.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))))
▶	9.0b	(/.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)))))
▶	2.3b	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 276 to 186 computations (32.6% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series24.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite110.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

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

simplify211.0ms (1.1%)

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

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.0b	(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))
✓	0.1b	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1))
✓	2.3b	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 87 to 53 computations (39.1% saved)

series12.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite204.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 192

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 beta) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 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simplify270.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	959	23816
1	3409	23152

Stop Event

1×	node limit

Counts

288 → 509

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	2.3b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	2.9b	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))

Compiler

Compiled 85 to 53 computations (37.6% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	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	@	0	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	0	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms	alpha	@	-inf	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms	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))))

rewrite141.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify169.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	806	19042
1	2733	18694

Stop Event

1×	node limit

Counts

232 → 377

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1))
✓	0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
✓	2.3b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓	2.9b	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))

Compiler

Compiled 93 to 46 computations (50.5% saved)

series14.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite176.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 218

Calls

Call 1

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

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

simplify221.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1001	24968
1	3393	24786

Stop Event

1×	node limit

Counts

314 → 517

Calls

Call 1

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

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

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.0b	(.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	8.9b	(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))

Compiler

Compiled 95 to 58 computations (38.9% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify394.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	611	16987
1	2114	16415

Stop Event

1×	node limit

Counts

193 → 310

Calls

Call 1

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

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

eval2.4s (12.1%)

Compiler: Compiled 120353 to 84353 computations (29.9% saved)

prune1.0s (5.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	2417	18	2435
Fresh	0	0	0
Picked	1	0	1
Done	4	0	4
Total	2422	18	2440

Error

Counts

2440 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.1b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	62.8b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
	22.9b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	0.5b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
	16.3b	(/.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)))
	14.6b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	27.9b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	14.6b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	4.6b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
	8.3b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	61.8b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
▶	26.0b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	30.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
▶	0.1b	(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
	1.6b	(.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
▶	0.2b	(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
	5.5b	(.f64 (/.f64 (+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1)) (pow.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))) 2)) (/.f64 1 (.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))) (+.f64 (+.f64 beta 2) alpha))))
	3.2b	(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 814 to 566 computations (30.5% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))
✓	0.1b	(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
✓	0.1b	(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta)))
✓	17.1b	(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta))

Compiler

Compiled 97 to 56 computations (42.3% saved)

series49.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite131.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) -1) (.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (neg.f64 beta)) (.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2))) (.f64 (neg.f64 beta) (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 beta) (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2))) (.f64 -1 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 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simplify240.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1072	27859
1	3835	27447

Stop Event

1×	node limit

Counts

273 → 494

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.4b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify61.0ms (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))

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
✓	2.3b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 52 to 30 computations (42.3% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify127.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

66 → 144

Calls

Call 1

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

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

localize23.0ms (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 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))

✓

0.7b

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

Compiler

Compiled 63 to 38 computations (39.7% saved)

series26.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
5.0ms	beta	@	inf	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

rewrite154.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

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

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

simplify123.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	503	10976
1	1731	10616

Stop Event

1×	node limit

Counts

130 → 227

Calls

Call 1

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

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

localize72.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 100 to 68 computations (32% saved)

series15.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite185.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	172
1	446	160
2	7193	160

Stop Event

1×	node limit

Counts

4 → 178

Calls

Call 1

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

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

simplify260.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1670×	`associate-r`
1476×	`associate-l`
1372×	`+-commutative`
1144×	`associate-+r+`
772×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1006	27810
1	3635	27390

Stop Event

1×	node limit

Counts

274 → 505

Calls

Call 1

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

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

eval1.9s (9.7%)

Compiler: Compiled 82717 to 60847 computations (26.4% saved)

prune632.0ms (3.2%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1694	15	1709
Fresh	8	5	13
Picked	1	0	1
Done	1	3	4
Total	1704	23	1727

Error

Counts

1727 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	31.3b	(pow.f64 beta -2)
	4.1b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	22.9b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	14.6b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
▶	27.9b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	4.6b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
	31.4b	(/.f64 (/.f64 1 beta) beta)
	8.3b	(/.f64 (+.f64 beta 1) (.f64 (-.f64 beta -2) (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 alpha beta)))))
✓	26.0b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓	30.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
▶	61.6b	(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
	16.1b	(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓	0.1b	(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
	3.5b	(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
	42.8b	(/.f64 alpha (*.f64 beta beta))
	27.3b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	32.0b	(/.f64 1 (*.f64 beta beta))
▶	62.5b	(/.f64 1 alpha)
	33.6b	(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
	5.0b	(.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))) 2)) (/.f64 (/.f64 1 (+.f64 beta 2)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))
▶	4.1b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
	28.5b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
▶	3.2b	(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 711 to 512 computations (28% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 alpha (+.f64 beta 3)))
✓	0.0b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))
✓	2.9b	(/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))

Compiler

Compiled 107 to 61 computations (43% saved)

series11.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite145.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`associate-+l+`
558×	`+-commutative`
474×	`add-sqr-sqrt`
462×	`pow1`
462×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	190
1	454	166
2	7004	166

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

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

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) 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simplify473.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1468×	`associate-r`
1458×	`+-commutative`
1304×	`associate-l`
1144×	`associate-+r+`
852×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	973	27184
1	3352	26822

Stop Event

1×	node limit

Counts

258 → 505

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

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

localize3.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.3b	(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))

Compiler

Compiled 17 to 9 computations (47.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1646×	`add-sqr-sqrt`
1626×	`*-un-lft-identity`
1528×	`add-cube-cbrt`
1512×	`add-cbrt-cube`
148×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	150	19
2	2137	19

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

694×	`associate-*r/`
542×	`unswap-sqr`
476×	`distribute-lft-neg-in`
476×	`associate-*l/`
462×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	1153
1	246	1133
2	878	905
3	4246	905

Stop Event

1×	node limit

Counts

45 → 48

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

series8.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	inf	(/.f64 (+.f64 alpha 1) beta)
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs

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

simplify162.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

173 → 241

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 beta 3) (+.f64 beta 2))
	0.0b	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	0.1b	(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
✓	19.6b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))

Compiler

Compiled 68 to 48 computations (29.4% saved)

series6.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite114.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`distribute-lft-neg-in`
406×	`add-sqr-sqrt`
394×	`pow1`
394×	`*-un-lft-identity`
380×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	99
1	389	99
2	5930	99

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify133.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

926×	`distribute-lft-in`
860×	`distribute-rgt-in`
712×	`associate-/l*`
692×	`associate-r`
682×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	562	10374
1	1801	9438

Stop Event

1×	node limit

Counts

200 → 279

Calls

Call 1

Inputs
1/6
(+.f64 1/6 (*.f64 1/36 beta))
(+.f64 (.f64 -11/216 (pow.f64 beta 2)) (+.f64 1/6 (.f64 1/36 beta)))
(+.f64 (.f64 -11/216 (pow.f64 beta 2)) (+.f64 1/6 (+.f64 (.f64 49/1296 (pow.f64 beta 3)) (*.f64 1/36 beta))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 46 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 46 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.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 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.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 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.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 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.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 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 6 (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (.f64 -1 (-.f64 (.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3)))))
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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)
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(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
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(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
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(.f64 (+.f64 beta 1) (.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1))
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(pow.f64 (/.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 1) (+.f64 beta 2))) -1)
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(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))))))
(exp.f64 (.f64 (-.f64 (log1p.f64 beta) (log.f64 (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))))))
(+.f64 (.f64 beta beta) (+.f64 (.f64 beta 3) (+.f64 (*.f64 beta 2) 6)))
(+.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (.f64 beta 2) 6))
(+.f64 (+.f64 (.f64 beta 2) 6) (.f64 beta (+.f64 beta 3)))
(+.f64 (.f64 beta 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 6 (+.f64 (.f64 beta 2) (.f64 beta (+.f64 beta 3))))
(+.f64 (.f64 (+.f64 beta 2) 3) (.f64 (+.f64 beta 2) beta))
(+.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 beta (+.f64 beta 3)) (.f64 beta 2)) 6)
(+.f64 (+.f64 (.f64 beta (+.f64 beta 3)) 6) (.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 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1)
(/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (+.f64 beta -2))
(/.f64 (.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) (+.f64 beta -3))
(/.f64 (.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (.f64 beta (+.f64 beta -3))))
(/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 beta 2)) (+.f64 beta -3))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 beta 2)) (+.f64 9 (.f64 beta (+.f64 beta -3))))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 beta 3)) (+.f64 beta -2))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 3)) (+.f64 4 (.f64 beta (+.f64 beta -2))))
(/.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 3) (+.f64 beta -2)))
(/.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 beta 2) 6) (-.f64 (+.f64 (.f64 beta 2) 6) (*.f64 beta (+.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) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (fma.f64 beta beta -4)) (.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3))) (+.f64 beta -2)))
(/.f64 (.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 (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) (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -9)) (.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 beta -3)))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3))) (.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (+.f64 9 (.f64 beta (+.f64 beta -3)))))
(pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) 1/3)
(neg.f64 (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (+.f64 beta 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(fma.f64 beta (+.f64 beta 3) (+.f64 (*.f64 beta 2) 6))
(fma.f64 (+.f64 beta 3) beta (+.f64 (*.f64 beta 2) 6))

Outputs
1/6
(+.f64 1/6 (*.f64 1/36 beta))
(fma.f64 1/36 beta 1/6)
(+.f64 (.f64 -11/216 (pow.f64 beta 2)) (+.f64 1/6 (.f64 1/36 beta)))
(fma.f64 -11/216 (.f64 beta beta) (+.f64 1/6 (.f64 1/36 beta)))
(fma.f64 -11/216 (*.f64 beta beta) (fma.f64 1/36 beta 1/6))
(+.f64 (.f64 -11/216 (pow.f64 beta 2)) (+.f64 1/6 (+.f64 (.f64 49/1296 (pow.f64 beta 3)) (*.f64 1/36 beta))))
(fma.f64 -11/216 (.f64 beta beta) (+.f64 1/6 (fma.f64 49/1296 (pow.f64 beta 3) (.f64 1/36 beta))))
(+.f64 (fma.f64 49/1296 (pow.f64 beta 3) (.f64 1/36 beta)) (fma.f64 -11/216 (.f64 beta beta) 1/6))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 4 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -4 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (.f64 4 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 14 (pow.f64 beta 3)) (/.f64 4 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 14 (pow.f64 beta 3)) (/.f64 -4 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 46 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 14 (pow.f64 beta 3))) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 46 (pow.f64 beta 4))))
(+.f64 (/.f64 14 (pow.f64 beta 3)) (-.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 46 (pow.f64 beta 4)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 4 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -4 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (.f64 4 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 14 (pow.f64 beta 3)) (/.f64 4 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 14 (pow.f64 beta 3)) (/.f64 -4 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 14 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 46 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 14 (pow.f64 beta 3))) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 46 (pow.f64 beta 4))))
(+.f64 (/.f64 14 (pow.f64 beta 3)) (-.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 46 (pow.f64 beta 4)))))
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 4 alpha) (+.f64 4 (.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha)))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.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 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 4 alpha) (+.f64 4 (.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 4 alpha) (+.f64 4 (.f64 alpha 2))))) (/.f64 (.f64 1/36 (+.f64 alpha 7)) (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 4 alpha) (+.f64 4 (.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha))) (.f64 (.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 (+.f64 2 alpha) (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (.f64 3 alpha))))) (.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.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 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.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 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.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 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(fma.f64 -1 (.f64 (pow.f64 beta 3) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 4 alpha) (+.f64 4 (.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (+.f64 alpha 7))) (+.f64 (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/6 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 4 alpha) (+.f64 4 (.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 4 alpha) (+.f64 4 (.f64 alpha 2))))) (/.f64 (.f64 1/36 (+.f64 alpha 7)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 4 alpha) (+.f64 4 (.f64 alpha 2))))))))) (fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 4 alpha) (+.f64 4 (.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 4 alpha) (+.f64 4 (.f64 alpha 2))))) (/.f64 (.f64 1/36 (+.f64 alpha 7)) (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 4 alpha) (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))))
(-.f64 (-.f64 (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha))) (.f64 (.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 (+.f64 2 alpha) (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (.f64 3 alpha))))) (.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)))))) (.f64 (pow.f64 beta 3) (fma.f64 1/6 (.f64 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (+.f64 2 alpha)) (+.f64 alpha 7)) (fma.f64 -1/6 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 (+.f64 2 alpha) (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (.f64 3 alpha))))) (.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 3 alpha))))) (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (neg.f64 (/.f64 (fma.f64 -1 (.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (*.f64 alpha 2)))) (pow.f64 beta 4)))))
(-.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (/.f64 (-.f64 (fma.f64 2 (+.f64 alpha 5) (.f64 3 (+.f64 2 alpha))) (*.f64 (+.f64 alpha 7) (+.f64 alpha 6))) (pow.f64 beta 4)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 6 (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4))))))
(+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (.f64 -1 (+.f64 (/.f64 (fma.f64 6 (+.f64 2 alpha) (.f64 -1 (+.f64 (.f64 (+.f64 alpha 6) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (.f64 alpha 2)))) (.f64 (+.f64 alpha 7) (fma.f64 -1 (.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (.f64 alpha 2)))))))) (pow.f64 beta 5)) (/.f64 (fma.f64 -1 (.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (.f64 alpha 2)))) (pow.f64 beta 4))))))
(+.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (-.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 2 (+.f64 alpha 5) (.f64 3 (+.f64 2 alpha))) (.f64 (+.f64 alpha 7) (+.f64 alpha 6)))) (pow.f64 beta 4)) (/.f64 (fma.f64 (+.f64 2 alpha) 6 (neg.f64 (fma.f64 (+.f64 alpha 6) (fma.f64 2 (+.f64 alpha 5) (.f64 3 (+.f64 2 alpha))) (.f64 (+.f64 alpha 7) (-.f64 (fma.f64 2 (+.f64 alpha 5) (.f64 3 (+.f64 2 alpha))) (*.f64 (+.f64 alpha 7) (+.f64 alpha 6))))))) (pow.f64 beta 5))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 3)) (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 7) (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (.f64 -1 (-.f64 (.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3)))))
(fma.f64 -1 (/.f64 (fma.f64 (+.f64 alpha 7) (+.f64 1 (neg.f64 (+.f64 alpha 7))) (neg.f64 (fma.f64 -5 (+.f64 2 alpha) -6))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3)))))
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6
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(fma.f64 beta 5 6)
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(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (.f64 beta (+.f64 beta -2)))) (/.f64 (+.f64 (pow.f64 beta 3) 27) (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta (+.f64 beta -2) 4)) (/.f64 (+.f64 (pow.f64 beta 3) 27) (fma.f64 beta (+.f64 beta -3) 9)))
(/.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 beta -2)) (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -9)) (+.f64 beta -3)) (+.f64 beta -2))
(/.f64 (.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 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (+.f64 (pow.f64 beta 3) 27) (+.f64 9 (.f64 beta (+.f64 beta -3)))))
(.f64 (/.f64 (fma.f64 beta beta -4) (.f64 (+.f64 beta -2) (fma.f64 beta (+.f64 beta -3) 9))) (+.f64 (pow.f64 beta 3) 27))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -9)) (.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 beta -3)))
(.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta (+.f64 beta -2) 4)))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3))) (.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (+.f64 9 (.f64 beta (+.f64 beta -3)))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (.f64 beta (+.f64 beta -2)))) (/.f64 (+.f64 (pow.f64 beta 3) 27) (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta (+.f64 beta -2) 4)) (/.f64 (+.f64 (pow.f64 beta 3) 27) (fma.f64 beta (+.f64 beta -3) 9)))
(pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) 1/3)
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(neg.f64 (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2))
(fabs.f64 (fma.f64 beta (+.f64 beta 5) 6))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (+.f64 beta 3)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 3) 3)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(exp.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(fma.f64 beta (+.f64 beta 3) (+.f64 (*.f64 beta 2) 6))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(fma.f64 (+.f64 beta 3) beta (+.f64 (*.f64 beta 2) 6))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)

eval1.1s (5.4%)

Compiler: Compiled 45834 to 32966 computations (28.1% saved)

prune343.0ms (1.7%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1138	13	1151
Fresh	5	10	15
Picked	1	0	1
Done	2	5	7
Total	1146	28	1174

Error

Counts

1174 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	31.3b	(pow.f64 beta -2)
	5.1b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))
	4.1b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	4.1b	(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))
▶	22.9b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	14.6b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓	27.9b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	28.4b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	4.6b	(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
▶	40.5b	(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
▶	3.5b	(/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
▶	30.9b	(/.f64 (/.f64 1 beta) (+.f64 beta 3))
	31.4b	(/.f64 (/.f64 1 beta) beta)
	8.2b	(/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
✓	26.0b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓	30.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
✓	0.1b	(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
	42.8b	(/.f64 alpha (*.f64 beta beta))
	27.3b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	32.0b	(/.f64 1 (*.f64 beta beta))
▶	60.2b	(/.f64 1 beta)
✓	62.5b	(/.f64 1 alpha)
	34.6b	(/.f64 1/6 (+.f64 2 alpha))
	29.4b	(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
	28.5b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	30.9b	(*.f64 (/.f64 1 beta) (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))
	34.4b	(.f64 (+.f64 1/6 (.f64 1/36 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
	33.5b	(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 743 to 541 computations (27.2% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 68 to 48 computations (29.4% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite143.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`distribute-lft-neg-in`
408×	`add-sqr-sqrt`
396×	`pow1`
396×	`*-un-lft-identity`
382×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	105
1	390	99
2	6031	99

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -1/2) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -1/2) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (+.f64 1 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (-.f64 -2 beta) alpha)) (/.f64 1 (*.f64 (/.f64 (+.f64 beta 3) (+.f64 1 beta)) (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))) 1) (/.f64 (+.f64 1 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))) (+.f64 1 beta)) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 1) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))) (/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))) 2)) (/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 beta 3) (+.f64 1 beta))) (/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (-.f64 -3 beta)) (/.f64 (+.f64 1 beta) (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -1/2) 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -1/2) (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -1/2) (+.f64 beta 3)) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -1/2) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))) 2)) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -1/2) (cbrt.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -1/2) (/.f64 (+.f64 beta 3) (+.f64 1 beta))) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -1/2) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (+.f64 beta 3)) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (sqrt.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))) (/.f64 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simplify125.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

804×	`times-frac`
750×	`associate-l`
742×	`associate-r`
728×	`*-commutative`
638×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	552	10734
1	1734	10464

Stop Event

1×	node limit

Counts

196 → 289

Calls

Call 1

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

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha)))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.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 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))))) (.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha))) (.f64 beta (.f64 beta (fma.f64 1/6 (.f64 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (/.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (+.f64 2 alpha)) (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha)))) (/.f64 (+.f64 (*.f64 1/36 alpha) 7/36) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.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 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.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 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.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 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(fma.f64 -1 (.f64 (pow.f64 beta 3) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (+.f64 alpha 7))) (+.f64 (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/6 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))))) (.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))))))))) (fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (.f64 2 (+.f64 2 alpha))))) (.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))))
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(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (.f64 alpha (+.f64 2 beta))) (/.f64 beta (.f64 alpha (.f64 (+.f64 beta 3) (+.f64 2 beta))))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha))) (-.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 2)))))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 beta 3)) alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (/.f64 beta (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (.f64 alpha (+.f64 2 beta))) (/.f64 beta (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 2 beta))))))
(-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (.f64 alpha (+.f64 2 beta))) (/.f64 beta (.f64 alpha (.f64 (+.f64 beta 3) (+.f64 2 beta))))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.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 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (.f64 alpha (+.f64 2 beta))) (/.f64 beta (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 2 beta))))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta)))))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (.f64 alpha (+.f64 2 beta))) (/.f64 beta (.f64 alpha (.f64 (+.f64 beta 3) (+.f64 2 beta))))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.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 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (.f64 alpha (+.f64 2 beta))) (/.f64 beta (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 2 beta))))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))))))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (.f64 alpha (+.f64 2 beta))) (/.f64 beta (.f64 alpha (.f64 (+.f64 beta 3) (+.f64 2 beta))))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha))) (-.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 2)))))
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))
(-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha))))
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 3) beta)))
(+.f64 (.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha)))))
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 3) beta))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 2 alpha) (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (/.f64 (-.f64 -2 alpha) (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (/.f64 (-.f64 -2 alpha) (*.f64 beta beta)) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4)) (+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 (-.f64 -2 alpha) (*.f64 beta beta)) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4)))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 2 alpha) (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (/.f64 (-.f64 -2 alpha) (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (/.f64 (-.f64 -2 alpha) (*.f64 beta beta)) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4)) (+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 (-.f64 -2 alpha) (*.f64 beta beta)) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4)))
(/.f64 1 (+.f64 beta 2))
(/.f64 1 (+.f64 2 beta))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (+.f64 2 beta)) (neg.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))))
(-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))))
(-.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 3))) (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4)) (neg.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))))
(+.f64 (-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 (-.f64 -2 beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 (-.f64 -2 beta) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 (-.f64 -2 beta) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 (-.f64 -2 beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 (-.f64 -2 beta) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 (-.f64 -2 beta) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)))
6
(+.f64 (*.f64 -1 beta) 6)
(fma.f64 -1 beta 6)
(-.f64 6 beta)
(+.f64 (.f64 -1 beta) (+.f64 6 (.f64 2 (pow.f64 beta 2))))
(+.f64 (fma.f64 -1 beta 6) (.f64 2 (.f64 beta beta)))
(+.f64 (-.f64 6 beta) (.f64 beta (.f64 beta 2)))
(+.f64 (.f64 -1 beta) (+.f64 6 (+.f64 (.f64 -2 (pow.f64 beta 3)) (*.f64 2 (pow.f64 beta 2)))))
(+.f64 (fma.f64 -1 beta 6) (fma.f64 -2 (pow.f64 beta 3) (.f64 2 (.f64 beta beta))))
(+.f64 (-.f64 6 beta) (fma.f64 -2 (pow.f64 beta 3) (.f64 beta (.f64 beta 2))))
beta
(+.f64 beta 4)
(+.f64 beta (+.f64 4 (*.f64 2 (/.f64 1 beta))))
(+.f64 (+.f64 beta 4) (/.f64 2 beta))
(-.f64 (+.f64 beta (+.f64 4 (.f64 2 (/.f64 1 beta)))) (.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (+.f64 beta 4) (/.f64 2 beta)) (/.f64 2 (*.f64 beta beta)))
(+.f64 (+.f64 (+.f64 beta 4) (/.f64 2 beta)) (/.f64 -2 (*.f64 beta beta)))
beta
(+.f64 beta 4)
(+.f64 beta (+.f64 4 (*.f64 2 (/.f64 1 beta))))
(+.f64 (+.f64 beta 4) (/.f64 2 beta))
(-.f64 (+.f64 beta (+.f64 4 (.f64 2 (/.f64 1 beta)))) (.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (+.f64 beta 4) (/.f64 2 beta)) (/.f64 2 (*.f64 beta beta)))
(+.f64 (+.f64 (+.f64 beta 4) (/.f64 2 beta)) (/.f64 -2 (*.f64 beta beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha))))) 1)
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 2 alpha) beta))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta)))
(.f64 1 (/.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 2 alpha) beta))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 2 alpha) beta))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 2 alpha) beta))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha))) 1)
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 2 alpha) beta))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -1/2) (.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -1/2) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 2 alpha) beta))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 2 alpha) beta))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2)) (/.f64 (.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta))) (cbrt.f64 (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) (+.f64 beta 3)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
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(*.f64 (+.f64 beta 3) (/.f64 (+.f64 2 beta) (+.f64 beta 1)))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 3) (+.f64 beta 1)))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta))) 3) 1/3)
(*.f64 (+.f64 beta 3) (/.f64 (+.f64 2 beta) (+.f64 beta 1)))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 3) (+.f64 beta 1)))
(pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1)
(*.f64 (+.f64 beta 3) (/.f64 (+.f64 2 beta) (+.f64 beta 1)))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 3) (+.f64 beta 1)))
(neg.f64 (*.f64 (/.f64 (+.f64 beta 3) (+.f64 1 beta)) (-.f64 -2 beta)))
(*.f64 (+.f64 beta 3) (/.f64 (+.f64 2 beta) (+.f64 beta 1)))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 3) (+.f64 beta 1)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 2 beta) (+.f64 beta 1))) 2))
(fabs.f64 (*.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 3) (+.f64 beta 1))))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 3)) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))
(*.f64 (+.f64 beta 3) (/.f64 (+.f64 2 beta) (+.f64 beta 1)))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 3) (+.f64 beta 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))))
(*.f64 (+.f64 beta 3) (/.f64 (+.f64 2 beta) (+.f64 beta 1)))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 3) (+.f64 beta 1)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta))) 3))
(*.f64 (+.f64 beta 3) (/.f64 (+.f64 2 beta) (+.f64 beta 1)))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 3) (+.f64 beta 1)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))))
(*.f64 (+.f64 beta 3) (/.f64 (+.f64 2 beta) (+.f64 beta 1)))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 3) (+.f64 beta 1)))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))))
(*.f64 (+.f64 beta 3) (/.f64 (+.f64 2 beta) (+.f64 beta 1)))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 3) (+.f64 beta 1)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))) 1))
(*.f64 (+.f64 beta 3) (/.f64 (+.f64 2 beta) (+.f64 beta 1)))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 3) (+.f64 beta 1)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))))
(*.f64 (+.f64 beta 3) (/.f64 (+.f64 2 beta) (+.f64 beta 1)))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 3) (+.f64 beta 1)))

localize3.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`add-sqr-sqrt`
1844×	`*-un-lft-identity`
1736×	`add-cube-cbrt`
1718×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	177	19
2	2314	19

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1192×	`distribute-lft-in`
1178×	`distribute-rgt-in`
818×	`associate-*r/`
694×	`associate-/l*`
544×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	1310
1	372	1250
2	1180	1164
3	5066	1164

Stop Event

1×	node limit

Counts

46 → 79

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`distribute-rgt-in`
1066×	`distribute-lft-in`
982×	`associate-/r/`
750×	`associate-/l/`
488×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	215	25
2	3302	25

Stop Event

1×	node limit

Counts

1 → 86

Calls

Call 1

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

Outputs

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

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

996×	`associate-/r/`
844×	`unswap-sqr`
732×	`associate-+r+`
682×	`+-commutative`
668×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	5634
1	1147	5430
2	4570	5294

Stop Event

1×	node limit

Counts

110 → 227

Calls

Call 1

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

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

localize31.0ms (0.2%)

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)

series11.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 182

Calls

Call 1

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

Outputs

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

simplify151.0ms (0.8%)

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

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

eval614.0ms (3.1%)

Compiler: Compiled 34409 to 25261 computations (26.6% saved)

prune473.0ms (2.4%)

Pruning

29 alts after pruning (21 fresh and 8 done)

	Pruned	Kept	Total
New	1090	9	1099
Fresh	6	12	18
Picked	0	1	1
Done	2	7	9
Total	1098	29	1127

Error

Counts

1127 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	31.3b	(pow.f64 beta -2)
	5.1b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))
	4.1b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
✓	22.9b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	14.6b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓	27.9b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
✓	40.5b	(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
	41.2b	(/.f64 (/.f64 alpha beta) beta)
✓	3.5b	(/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
	16.6b	(/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (-.f64 6 beta))
	15.9b	(/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (+.f64 (-.f64 6 beta) (.f64 beta (.f64 beta 2))))
	33.5b	(/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 6)
	26.0b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
✓	30.9b	(/.f64 (/.f64 1 beta) (+.f64 beta 3))
	31.4b	(/.f64 (/.f64 1 beta) beta)
	8.2b	(/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
✓	26.0b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓	30.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
✓	0.1b	(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
	22.9b	(/.f64 (.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
	27.3b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	32.0b	(/.f64 1 (*.f64 beta beta))
	62.5b	(/.f64 1/2 alpha)
	60.2b	(/.f64 1/3 beta)
	34.6b	(/.f64 1/6 (+.f64 2 alpha))
	42.0b	(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) beta) alpha)
	28.5b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	30.9b	(*.f64 (/.f64 1 beta) (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))
	34.4b	(.f64 (+.f64 1/6 (.f64 1/36 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 410 to 301 computations (26.6% saved)

regimes99.0ms (0.5%)

Counts

61 → 1

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 6)
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) beta) alpha)
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (-.f64 6 beta))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(.f64 (+.f64 1/6 (.f64 1/36 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (+.f64 (-.f64 6 beta) (.f64 beta (.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))
(.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (.f64 (-.f64 beta -2) (.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.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 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 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 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) (/.f64 1 (+.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 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 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))
(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 1 beta) (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 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 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (cbrt.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))) 2)) (/.f64 (/.f64 1 (+.f64 beta 2)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))
(.f64 (/.f64 (+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1)) (pow.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))) 2)) (/.f64 1 (.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))) (+.f64 (+.f64 beta 2) alpha))))

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

Calls

3 calls:

36.0ms

alpha

28.0ms

beta

13.0ms

(/.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 1023 to 675 computations (34% saved)

regimes52.0ms (0.3%)

Counts

45 → 1

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	beta
20.0ms	alpha

Results

Error	Segments	Branch
0.5b	1	`alpha`
0.5b	1	`beta`

Compiler

Compiled 553 to 371 computations (32.9% saved)

regimes85.0ms (0.4%)

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

36.0ms	alpha
36.0ms	beta

Results

Error	Segments	Branch
0.5b	2	`alpha`
0.3b	2	`beta`

Compiler

Compiled 505 to 339 computations (32.9% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	586356.3849000328	3051319620617.1978

Results

19.0ms

144×

body

256

valid

Compiler

Compiled 438 to 334 computations (23.7% saved)

regimes71.0ms (0.4%)

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

31.0ms	alpha
30.0ms	beta

Results

Error	Segments	Branch
1.1b	2	`alpha`
0.3b	2	`beta`

Compiler

Compiled 349 to 234 computations (33% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	586356.3849000328	3051319620617.1978

Results

12.0ms

96×

body

256

valid

Compiler

Compiled 294 to 220 computations (25.2% saved)

regimes69.0ms (0.3%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	beta
29.0ms	alpha

Results

Error	Segments	Branch
1.2b	2	`alpha`
0.3b	2	`beta`

Compiler

Compiled 330 to 220 computations (33.3% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	586356.3849000328	3051319620617.1978

Results

22.0ms

144×

body

256

valid

Compiler

Compiled 402 to 298 computations (25.9% saved)

regimes66.0ms (0.3%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	alpha
29.0ms	beta

Results

Error	Segments	Branch
1.2b	2	`alpha`
0.3b	2	`beta`

Compiler

Compiled 313 to 208 computations (33.5% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	586356.3849000328	3051319620617.1978

Results

19.0ms

144×

body

256

valid

Compiler

Compiled 402 to 298 computations (25.9% saved)

regimes62.0ms (0.3%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	alpha
27.0ms	beta

Results

Error	Segments	Branch
1.3b	2	`alpha`
0.5b	2	`beta`

Compiler

Compiled 296 to 196 computations (33.8% saved)

bsearch9.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
9.0ms	3051319620617.1978	3874875051046.0615

Results

8.0ms

48×

body

256

valid

Compiler

Compiled 144 to 103 computations (28.5% saved)

regimes62.0ms (0.3%)

Counts

30 → 2

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	alpha
27.0ms	beta

Results

Error	Segments	Branch
1.3b	2	`alpha`
0.5b	2	`beta`

Compiler

Compiled 262 to 172 computations (34.4% saved)

bsearch7.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
7.0ms	3051319620617.1978	3874875051046.0615

Results

6.0ms

48×

body

256

valid

Compiler

Compiled 138 to 100 computations (27.5% saved)

regimes81.0ms (0.4%)

Counts

28 → 2

Calls

Call 1

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

Outputs
(.f64 (+.f64 1/6 (.f64 1/36 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

49.0ms	alpha
26.0ms	beta

Results

Error	Segments	Branch
10.3b	4	`alpha`
1.0b	2	`beta`

Compiler

Compiled 230 to 150 computations (34.8% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	1.2255395481584339e-5	1327.533218293093

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 312 to 235 computations (24.7% saved)

regimes75.0ms (0.4%)

Counts

25 → 2

Calls

Call 1

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

Outputs
(/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (-.f64 6 beta))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

44.0ms	alpha
23.0ms	beta

Results

Error	Segments	Branch
10.3b	4	`alpha`
1.0b	2	`beta`

Compiler

Compiled 189 to 121 computations (36% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	1.2255395481584339e-5	1327.533218293093

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 294 to 217 computations (26.2% saved)

regimes67.0ms (0.3%)

Counts

23 → 2

Calls

Call 1

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

Outputs
(/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (-.f64 6 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)

Calls

2 calls:

42.0ms	alpha
19.0ms	beta

Results

Error	Segments	Branch
10.3b	4	`alpha`
1.0b	2	`beta`

Compiler

Compiled 167 to 107 computations (35.9% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	1.2255395481584339e-5	1327.533218293093

Results

19.0ms

144×

body

256

valid

Compiler

Compiled 258 to 190 computations (26.4% saved)

regimes69.0ms (0.3%)

Counts

22 → 2

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 6)
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) beta) alpha)
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))

Outputs
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)

Calls

2 calls:

45.0ms	alpha
19.0ms	beta

Results

Error	Segments	Branch
15.1b	5	`alpha`
1.3b	2	`beta`

Compiler

Compiled 156 to 99 computations (36.5% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	1.2255395481584339e-5	1327.533218293093

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 240 to 181 computations (24.6% saved)

regimes49.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)

Calls

2 calls:

32.0ms	alpha
14.0ms	beta

Results

Error	Segments	Branch
17.2b	4	`alpha`
1.3b	2	`beta`

Compiler

Compiled 80 to 46 computations (42.5% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	1.2255395481584339e-5	1327.533218293093

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 204 to 154 computations (24.5% saved)

regimes52.0ms (0.3%)

Counts

13 → 3

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)

Calls

2 calls:

30.0ms	alpha
19.0ms	beta

Results

Error	Segments	Branch
17.1b	5	`alpha`
1.9b	3	`beta`

Compiler

Compiled 73 to 42 computations (42.5% saved)

bsearch39.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	2.9206601986085152e+153	8.153095318440829e+154
22.0ms	1.2255395481584339e-5	1327.533218293093

Results

35.0ms

256×

body

256

valid

Compiler

Compiled 330 to 238 computations (27.9% saved)

regimes44.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)

Calls

2 calls:

26.0ms	alpha
16.0ms	beta

Results

Error	Segments	Branch
17.3b	5	`alpha`
2.6b	3	`beta`

Compiler

Compiled 52 to 31 computations (40.4% saved)

bsearch36.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	1.6504057384554847e+160	8.071517302921057e+160
22.0ms	1.2255395481584339e-5	1327.533218293093

Results

33.0ms

240×

body

256

valid

Compiler

Compiled 282 to 211 computations (25.2% saved)

regimes34.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 1 beta) beta)

Calls

2 calls:

23.0ms	alpha
9.0ms	beta

Results

Error	Segments	Branch
18.9b	5	`alpha`
4.2b	2	`beta`

Compiler

Compiled 40 to 25 computations (37.5% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	1.2255395481584339e-5	1327.533218293093

Results

19.0ms

144×

body

256

valid

Compiler

Compiled 186 to 145 computations (22% saved)

regimes32.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))

Calls

2 calls:

22.0ms	alpha
9.0ms	beta

Results

Error	Segments	Branch
19.6b	5	`alpha`
4.8b	2	`beta`

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch207.0ms (1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
207.0ms	1.2255395481584339e-5	1327.533218293093

Results

205.0ms

144×

body

256

valid

Compiler

Compiled 186 to 145 computations (22% saved)

regimes202.0ms (1%)

Counts

5 → 2

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/3 beta)

Calls

2 calls:

7.0ms	beta
5.0ms	alpha

Results

Error	Segments	Branch
34.6b	1	`alpha`
33.5b	2	`beta`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	1.2255395481584339e-5	1327.533218293093

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 168 to 136 computations (19% saved)

regimes11.0ms (0.1%)

Accuracy

Total -2.3b remaining (-3.8%)

Threshold costs -2.3b (-3.8%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 1/3 beta)

Calls

2 calls:

6.0ms	alpha
4.0ms	beta

Results

Error	Segments	Branch
60.2b	1	`alpha`
60.2b	1	`beta`

Compiler

Compiled 20 to 14 computations (30% saved)

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

44×	`+-commutative`
30×	`*-commutative`
18×	`sub-neg`
10×	`neg-mul-1`
10×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	1285
1	166	1285
2	184	1285
3	203	1285
4	209	1285
5	210	1285

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 3800000000) (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.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 6000000000) (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 245000000) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 122000000) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3800000000000) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3800000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7656119366529843/2251799813685248) (.f64 (+.f64 1/6 (.f64 1/36 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 6530219459687219/2251799813685248) (/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (-.f64 6 beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4) (/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (-.f64 6 beta)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 8) (*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 1/6 (+.f64 2 alpha)) (if (<=.f64 beta 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4278419646001971/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (if (<=.f64 beta 42999999999999998875934685395737237822644807833286111022460867346501182758083547081377168824057599199872526243233468854411006501255756877580004503517156222173184) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4728779608739021/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 4) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 5) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1/3 beta))
(/.f64 1/3 beta)

Outputs
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 3800000000) (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.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 3800000000) (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -3 (+.f64 beta (.f64 alpha 2))))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3800000000) (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (.f64 (-.f64 -1 alpha) (/.f64 1 (+.f64 -3 (-.f64 (.f64 alpha -2) beta)))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 6000000000) (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 6000000000) (.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 245000000) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 245000000) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 122000000) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 122000000) (/.f64 (-.f64 -1 beta) (.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3800000000000) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 (+.f64 beta alpha)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3800000000000) (/.f64 (-.f64 -1 beta) (.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3800000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7656119366529843/2251799813685248) (.f64 (+.f64 1/6 (.f64 1/36 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7656119366529843/2251799813685248) (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1/6 (.f64 beta 1/36))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 6530219459687219/2251799813685248) (/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (-.f64 6 beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 6530219459687219/2251799813685248) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 6 beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4) (/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (-.f64 6 beta)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 6 beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 8) (*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 8) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1/6) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 4) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 1/6 (+.f64 2 alpha)) (if (<=.f64 beta 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 1/6 (+.f64 alpha 2)) (if (<=.f64 beta 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4278419646001971/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (if (<=.f64 beta 42999999999999998875934685395737237822644807833286111022460867346501182758083547081377168824057599199872526243233468854411006501255756877580004503517156222173184) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4278419646001971/1125899906842624) (/.f64 1/6 (+.f64 alpha 2)) (if (<=.f64 beta 42999999999999998875934685395737237822644807833286111022460867346501182758083547081377168824057599199872526243233468854411006501255756877580004503517156222173184) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4728779608739021/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 4728779608739021/1125899906842624) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 4) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 4) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 5) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1/3 beta))
(if (<=.f64 beta 5) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 1/3 beta))
(/.f64 1/3 beta)

Compiler

Compiled 509 to 367 computations (27.9% saved)

soundness724.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 37 to 24 computations (35.1% saved)

end299.0ms (1.5%)

Remove: (sort alpha beta)
Compiler: Compiled 527 to 362 computations (31.3% saved)