Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

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
50%	28.1%	28.1%	43.8%	0%	0%	0%	2
75%	42.1%	14%	43.8%	0%	0%	0%	3
87.5%	49.2%	7%	43.8%	0%	0%	0%	4
93.8%	52.7%	3.5%	43.8%	0%	0%	0%	5
96.9%	54.4%	1.8%	43.8%	0%	0%	0%	6
98.4%	55.3%	0.9%	43.8%	0%	0%	0%	7
99.2%	55.7%	0.4%	43.8%	0%	0%	0%	8
99.6%	56%	0.2%	43.8%	0%	0%	0%	9
99.8%	56.1%	0.1%	43.8%	0%	0%	0%	10
99.9%	56.1%	0.1%	43.8%	0%	0%	0%	11
100%	56.1%	0%	43.8%	0%	0%	0%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample896.0ms (16.1%)

Memory

16.2MiB live, 335.2MiB allocated

Samples

331.0ms	6 081×	0	valid
170.0ms	1 472×	1	valid
124.0ms	703×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 451.0ms

ival-add: 133.0ms (29.5% of total)

ival-div: 123.0ms (27.3% of total)

adjust: 72.0ms (16% of total)

ival-sub: 62.0ms (13.7% of total)

ival->: 35.0ms (7.8% of total)

exact: 14.0ms (3.1% of total)

ival-and: 10.0ms (2.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain101.0ms (1.8%)

Memory

2.1MiB live, 60.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
65	-	-	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	-	-	`beta`
0	-	-	`(+.f64 alpha beta)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	-	-	`alpha`
0	-	-	`(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
0	-	-	`(-.f64 beta alpha)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`	cancellation	65	1

Confusion

	Predicted +	Predicted -
+	65	1
-	0	190

Precision

1.0

Recall

0.9848484848484849

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	65	1	0
-	0	0	190

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	191
1	65

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Total Time

21.943359375

Average Time

0.08571624755859375

Samples

22.0ms	388×	0	valid
11.0ms	86×	1	valid
7.0ms	38×	2	valid

Compiler

Compiled 161 to 44 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-add: 9.0ms (37.3% of total)

ival-div: 7.0ms (29% of total)

adjust: 4.0ms (16.6% of total)

ival-sub: 3.0ms (12.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess328.0ms (5.9%)

Memory

-7.8MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	71
1	73	67
2	167	67
3	440	65
4	1153	65
5	2761	65
6	5383	65
7	6224	65
8	6491	65
9	6607	65
10	6633	65
11	6633	65
12	6681	65
13	6780	65
14	6780	65
15	6780	65
16	6884	65
17	7904	65
0	10	13
0	16	13
1	28	13
2	45	13
3	73	13
4	133	13
5	292	13
6	572	13
7	944	13
8	1607	13
9	2841	13
10	3063	13
11	3150	13
12	3204	13
13	3206	13
14	3206	13
15	3206	13
0	3206	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs

(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64))

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune6.0ms (0.1%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify96.0ms (1.7%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff	512	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
0	16	48
1	28	48
2	45	48
3	73	48
4	133	48
5	292	48
6	572	48
7	944	48
8	1607	48
9	2841	48
10	3063	48
11	3150	48
12	3204	48
13	3206	48
14	3206	48
15	3206	48
0	3206	47

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(-.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)
#s(literal 2 binary64)
#s(literal 1 binary64)

Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize33.0ms (0.6%)

Memory

-3.7MiB live, 11.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 alpha beta)
accuracy	0.00390625	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0.017910009768442016	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	14.75128463086239	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

17.0ms	194×	0	valid
5.0ms	43×	1	valid
4.0ms	19×	2	valid

Compiler

Compiled 98 to 22 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 10.0ms (56.7% of total)

ival-add: 4.0ms (22.7% of total)

adjust: 2.0ms (11.3% of total)

ival-sub: 2.0ms (11.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

6 → 87

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(-.f64 beta alpha)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)

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

Calls

6 calls:

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

simplify145.0ms (2.6%)

Memory

-1.2MiB live, 45.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2206
1	1394	2067
2	4569	1878
0	8651	1750

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 85

Calls

Call 1

Inputs
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
beta
(+ beta (* -1 alpha))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ alpha beta)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (/ beta alpha)))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(- beta alpha)
(+ 2 alpha)
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (/ alpha beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))

Outputs
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) alpha (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ 1 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(-.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha (/.f64 alpha (-.f64 beta #s(literal -2 binary64)))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(fma.f64 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
(/ beta (+ 2 beta))
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha (/.f64 alpha (-.f64 beta #s(literal -2 binary64)))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 beta #s(literal -2 binary64))))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64))))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ 2 beta)
(-.f64 beta #s(literal -2 binary64))
(+ 2 (+ alpha beta))
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+ alpha beta)
(+.f64 alpha beta)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) beta (.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha))))) alpha)
-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (/.f64 beta alpha) (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1 binary64)))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(-.f64 (fma.f64 (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha))
(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (/ beta alpha) 1))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) alpha alpha)
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 (/.f64 beta alpha) alpha alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) #s(literal -1/2 binary64)) alpha)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha)
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta))) alpha)
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha) beta (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) alpha)) alpha) (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 (/.f64 beta alpha) alpha alpha)
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(*.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) beta (.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(- 1 (/ alpha (+ 2 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))
(* -1 (/ alpha (+ 2 alpha)))
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(- beta alpha)
(-.f64 beta alpha)
(+ 2 alpha)
(+.f64 #s(literal 2 binary64) alpha)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) beta) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(-.f64 (.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha)) (-.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(-.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 beta #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 3 binary64))))
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) beta))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (neg.f64 beta))) #s(literal 1 binary64))
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta)
(* beta (+ 1 (/ alpha beta)))
(fma.f64 (/.f64 alpha beta) beta beta)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1/2 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) (neg.f64 beta))) beta))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 2 binary64))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) beta))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+.f64 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) #s(literal 2 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+.f64 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) #s(literal 1 binary64))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (neg.f64 beta) beta)
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(fma.f64 (/.f64 (neg.f64 alpha) beta) (neg.f64 beta) beta)

rewrite130.0ms (2.3%)

Memory

5.9MiB live, 56.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	16	44
1	91	44
2	748	44
0	9057	43

Stop Event

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

Counts

6 → 458

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(-.f64 beta alpha)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)

Outputs
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(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(fma.f64 (/.f64 (+.f64 alpha beta) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (-.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 alpha beta) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 alpha beta) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 (-.f64 beta alpha) (pow.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 (fma.f64 beta beta #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal 2 binary64))) alpha)
(fma.f64 (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))))) alpha)
(fma.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) (+.f64 #s(literal 2 binary64) beta))
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha)))) #s(literal 2 binary64))
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 alpha beta) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) alpha (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) alpha (+.f64 #s(literal 2 binary64) beta))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)
(+.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 alpha beta) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)))
(.f64 (/.f64 (+.f64 alpha beta) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(.f64 (/.f64 (+.f64 alpha beta) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 (-.f64 beta alpha) (pow.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64))))
(.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))))))
(.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (fma.f64 alpha alpha (.f64 (neg.f64 beta) alpha)))))
(.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 alpha beta))
(pow.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (.f64 alpha alpha) (-.f64 alpha beta))) (.f64 (/.f64 (.f64 beta beta) (-.f64 alpha beta)) (/.f64 (.f64 beta beta) (-.f64 alpha beta)))) (+.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (.f64 beta beta) (-.f64 alpha beta))))
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (neg.f64 alpha) #s(literal 3 binary64))) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 beta beta) (-.f64 alpha beta)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (fma.f64 (/.f64 (.f64 beta beta) (-.f64 alpha beta)) (/.f64 (.f64 beta beta) (-.f64 alpha beta)) (.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (.f64 (-.f64 alpha beta) (.f64 beta beta))) (pow.f64 (-.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 beta alpha))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha))))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha))) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (+.f64 alpha beta)))
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) beta)
(fma.f64 (.f64 alpha alpha) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 beta beta) (-.f64 alpha beta))))
(fma.f64 #s(literal 1 binary64) alpha beta)
(-.f64 (/.f64 (.f64 beta beta) (-.f64 beta alpha)) (/.f64 (.f64 alpha alpha) (-.f64 beta alpha)))
(-.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (.f64 beta beta) (-.f64 alpha beta)))
(-.f64 beta (neg.f64 alpha))
(+.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (neg.f64 (/.f64 (.f64 beta beta) (-.f64 alpha beta))))
(+.f64 alpha beta)
(+.f64 beta alpha)

eval73.0ms (1.3%)

Memory: -19.1MiB live, 53.0MiB allocated
Compiler: Compiled 16 169 to 2 376 computations (85.3% saved)

prune17.0ms (0.3%)

Memory

-0.8MiB live, 25.7MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	521	16	537
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	522	16	538

Accuracy

99.9%

Counts

538 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.9%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	60.4%	(/.f64 (fma.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) alpha)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	52.1%	(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	45.1%	(/.f64 (fma.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	77.6%	(/.f64 (fma.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	77.6%	(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
	76.4%	(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	77.0%	(/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	32.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	74.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	24.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
▶	26.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
	25.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
	27.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	48.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
▶	39.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 834 to 524 computations (37.2% saved)

simplify118.0ms (2.1%)

Memory

5.1MiB live, 33.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
cost-diff	128	(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
cost-diff	512	(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	0	(+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
cost-diff	512	(/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	1088	(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
cost-diff	0	(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
cost-diff	0	(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	384	(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	512	(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
cost-diff	1088	(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	401
0	69	371
1	128	371
2	258	366
3	788	358
4	3216	356
5	7575	356
0	8181	348

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
alpha
#s(literal -2 binary64)
beta
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))
#s(literal -2 binary64)
beta
(-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
(pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 beta #s(literal -2 binary64))
#s(literal 2 binary64)
alpha
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)

Outputs
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
(-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/2 binary64))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) #s(literal 1 binary64))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))
alpha
#s(literal -2 binary64)
beta
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/2 binary64))
(+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (-.f64 beta #s(literal -1 binary64))) alpha))
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (fma.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (-.f64 beta #s(literal -1 binary64))) alpha)
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
(fma.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (-.f64 beta #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
(*.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (fma.f64 (-.f64 beta (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) #s(literal -4 binary64)))
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) beta) (fma.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal -2 binary64) #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 beta #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))
#s(literal -2 binary64)
beta
(-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
(pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 beta #s(literal -2 binary64))
#s(literal 2 binary64)
alpha
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) beta)
(-.f64 beta #s(literal -1 binary64))
#s(literal 1 binary64)

localize120.0ms (2.2%)

Memory

-4.0MiB live, 46.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.29965155971482593	(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
accuracy	1.9046430345415146	(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
accuracy	2.146240495220562	(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
accuracy	46.49379870195724	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
accuracy	0.00390625	(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
accuracy	0.0078125	(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy	0.015625	(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	14.75128463086239	(+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
accuracy	0	(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	0	(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
accuracy	0.00390625	(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
accuracy	43.01781483187125	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	38.65742872461579	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0.00390625	(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
accuracy	0.00390625	(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
accuracy	0.015625	(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	14.7511767377449	(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))

Samples

56.0ms	194×	0	valid
22.0ms	43×	1	valid
14.0ms	19×	2	valid

Compiler

Compiled 777 to 84 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-add: 22.0ms (31.2% of total)

ival-div: 20.0ms (28.4% of total)

ival-sub: 8.0ms (11.4% of total)

ival-mult: 8.0ms (11.4% of total)

adjust: 7.0ms (9.9% of total)

ival-pow2: 3.0ms (4.3% of total)

ival-neg: 1.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series34.0ms (0.6%)

Memory

-3.5MiB live, 12.4MiB allocated

Counts

20 → 229

Calls

Call 1

Inputs
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	alpha	@	-inf	((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (- (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) (/ (+ (- (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) 1) 2) (+ (- (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) 1) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) (/ (pow (- beta -2) 2) alpha))
6.0ms	beta	@	-inf	((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (- (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) (/ (+ (- (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) 1) 2) (+ (- (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) 1) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) (/ (pow (- beta -2) 2) alpha))
4.0ms	alpha	@	0	((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (- (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) (/ (+ (- (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) 1) 2) (+ (- (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) 1) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) (/ (pow (- beta -2) 2) alpha))
4.0ms	alpha	@	inf	((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (- (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) (/ (+ (- (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) 1) 2) (+ (- (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) 1) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) (/ (pow (- beta -2) 2) alpha))
4.0ms	beta	@	inf	((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (- (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) (/ (+ (- (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) 1) 2) (+ (- (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) 1) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) (/ (pow (- beta -2) 2) alpha))

simplify155.0ms (2.8%)

Memory

4.8MiB live, 57.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1049	6098
1	3419	5819
0	8431	5555

Stop Event

1×	iter limit
1×	node limit

Counts

229 → 227

Calls

Call 1

Inputs
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(/ beta (+ 2 beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(/ -2 beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
-2
(- (* -2 alpha) 2)
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2))
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))
(/ (- (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha)
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3))
-1
(- (/ alpha (+ 2 beta)) 1)
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(/ alpha (+ 2 beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2))
(/ (pow (+ 2 beta) 2) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -2 (/ alpha beta))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(* -2 alpha)
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(- (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) 1)
(- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))) (+ 1 (/ (* beta (+ 2 beta)) (pow alpha 2))))
(- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 3))))) (+ 1 (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (* beta (+ 2 beta)) (pow alpha 2)))))
(+ 1 beta)
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))))
(* (+ 2 beta) (- (* -2 beta) 2))
(- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* -1 (* (+ 2 beta) (- (* -2 beta) 2))))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
1
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) 1)
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha))))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(+ 2 alpha)
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ (- (* -2 alpha) 2) beta)
(* -1 (/ alpha (+ 2 alpha)))
(- (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(- (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1/2 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2))))))))) (* 2 (/ 1 alpha)))
(* 2 (- (* 4 (/ 1 alpha)) 2))
(- (* -1 (* beta (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(- (* beta (- (* beta (- (* 2 (/ 1 alpha)) (* -2 (- (* 4 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(- (* beta (- (* beta (- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) (* -2 (- (* 4 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* -1/2 (/ (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) alpha)) (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (+ (* beta (+ (* -1/2 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (/ alpha (+ 2 alpha)) 1)
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(/ alpha (+ 2 alpha))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(+ (* -1 (* beta (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))))))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ beta (pow alpha 2))))))))
(/ 4 alpha)
(+ (* 4 (/ beta alpha)) (* 4 (/ 1 alpha)))
(+ (* beta (+ (* 4 (/ 1 alpha)) (/ beta alpha))) (* 4 (/ 1 alpha)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 1 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 1 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (+ (/ 1 (pow beta 3)) (/ 4 (* (pow alpha 2) (pow beta 3)))))))) (/ 2 (* alpha (pow beta 3)))))
(* 2 (/ (pow beta 3) alpha))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) beta)) (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta)))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (pow beta 2))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 3))) (* 2 (/ 1 alpha))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (- (* 4 (/ 1 alpha)) 2))) (pow beta 2))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)))))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (+ (/ 1 (pow alpha 3)) (/ 4 (* (pow alpha 3) (pow beta 3)))))))) (/ 2 (* (pow alpha 2) (pow beta 3)))))
(- (/ alpha beta) 1)
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
(/ alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))))
(/ (pow beta 2) alpha)
(* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 2 (/ 1 alpha)) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) beta)))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 2) beta)) (+ (* -2 (- 1 (* 4 (/ 1 alpha)))) (* 2 (- (* 4 (/ 1 alpha)) 2)))) beta)) (* 2 (/ 1 alpha))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (pow alpha 3))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (* -1 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2))))))

Outputs
(+ 1 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))) alpha (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(fma.f64 (neg.f64 alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(fma.f64 (-.f64 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta))
(/ -2 beta)
(/.f64 #s(literal -2 binary64) beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)
-2
#s(literal -2 binary64)
(- (* -2 alpha) 2)
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
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(-.f64 (/.f64 (-.f64 (/.f64 (*.f64 alpha (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (+.f64 #s(literal 2 binary64) alpha))) (neg.f64 beta)) alpha) (neg.f64 beta)) #s(literal 1 binary64))
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(/.f64 (fma.f64 alpha (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) alpha) beta)
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(/.f64 (-.f64 (/.f64 (*.f64 alpha (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (+.f64 #s(literal 2 binary64) alpha))) (neg.f64 beta)) alpha) (neg.f64 beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 alpha (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) (.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (neg.f64 beta)) alpha) (neg.f64 beta))
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) beta) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 alpha alpha))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) beta)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) (.f64 alpha beta)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 alpha alpha))))) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (* -1 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 alpha beta)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) alpha))) (neg.f64 beta)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 alpha alpha)))) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha))))

rewrite176.0ms (3.2%)

Memory

-3.0MiB live, 71.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	305
0	69	275
1	376	275
2	3500	275
0	9087	275

Stop Event

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

Counts

20 → 774

Calls

Call 1

Inputs
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)

Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta) #s(literal -1 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta) #s(literal -1 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta) #s(literal -1 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 beta) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))) (neg.f64 (*.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 beta) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))) (neg.f64 (*.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))) (neg.f64 (*.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))) (neg.f64 (*.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))) (neg.f64 (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 beta (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))) (neg.f64 (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta) #s(literal -1 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))))
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(fma.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) alpha #s(literal -1 binary64))
(fma.f64 (neg.f64 alpha) (pow.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 alpha (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 alpha (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(+.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 alpha (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(*.f64 (/.f64 alpha (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))
(.f64 (/.f64 alpha (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 alpha #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) alpha)
(*.f64 (neg.f64 alpha) (pow.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(*.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(.f64 alpha (.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 alpha (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 alpha) #s(literal 1 binary64))) (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 alpha #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 alpha))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(/.f64 (*.f64 (neg.f64 alpha) #s(literal 1 binary64)) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(/.f64 (*.f64 alpha #s(literal 1 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(neg.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) alpha))
(.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (pow.f64 alpha #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 alpha #s(literal -1 binary64)) (.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))))
(.f64 (.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 alpha #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 (neg.f64 alpha) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) alpha))
(.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (pow.f64 alpha #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)))
(pow.f64 (/.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal 1 binary64))) (neg.f64 alpha))
(/.f64 (.f64 (.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal 1 binary64)) alpha)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 (neg.f64 alpha)))
(/.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha)
(/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 (neg.f64 (neg.f64 alpha))))
(/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))))
(neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(-.f64 (/.f64 #s(literal 0 binary64) alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 alpha) (.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 (neg.f64 alpha) #s(literal -1 binary64)))
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(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha))
(pow.f64 (/.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 alpha))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 alpha))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 alpha)))
(/.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) alpha)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (neg.f64 alpha))
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha))
(neg.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (neg.f64 alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)))

eval153.0ms (2.7%)

Memory: 16.3MiB live, 117.6MiB allocated
Compiler: Compiled 43 580 to 5 106 computations (88.3% saved)

prune31.0ms (0.5%)

Memory

-6.7MiB live, 50.0MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	1 129	12	1 141
Fresh	5	6	11
Picked	3	2	5
Done	0	0	0
Total	1 137	20	1 157

Accuracy

99.9%

Counts

1 157 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.9%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	77.6%	(fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
	60.4%	(/.f64 (fma.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) alpha)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	52.1%	(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	45.1%	(/.f64 (fma.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	77.6%	(/.f64 (fma.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) #s(literal 2 binary64))
	77.6%	(/.f64 (/.f64 (-.f64 (.f64 beta (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))) #s(literal 2 binary64))
	76.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta) #s(literal -1 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))))) #s(literal 2 binary64))
	24.1%	(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) alpha)) alpha)) alpha)) (neg.f64 alpha)))) #s(literal 2 binary64))
✓	77.0%	(/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	74.4%	#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	24.0%	#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64) (/.f64 (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta))) alpha)) (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (.f64 alpha alpha))))) alpha))
	48.2%	#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
▶	35.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	27.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	23.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
	26.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)))))
▶	3.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
	33.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
✓	39.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 1 330 to 753 computations (43.4% saved)

simplify125.0ms (2.2%)

Memory

9.5MiB live, 36.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 beta #s(literal 3 binary64))
cost-diff	0	(-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))
cost-diff	384	(/.f64 (fma.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	576	(fma.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
cost-diff	0	(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	512	(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	2688	(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
cost-diff	0	(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
cost-diff	0	(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 alpha)
cost-diff	0	(/.f64 (neg.f64 alpha) beta)
cost-diff	0	#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
cost-diff	0	(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
cost-diff	128	(*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff	128	(neg.f64 (*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
cost-diff	1280	(fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	433
0	83	421
1	174	401
2	341	401
3	942	399
4	3358	380
5	5932	380
0	8240	370

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
beta
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
alpha
#s(literal -2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta))
(/.f64 (neg.f64 alpha) beta)
(neg.f64 alpha)
alpha
beta
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
(*.f64 #s(literal -2 binary64) alpha)
#s(literal -2 binary64)
alpha
beta
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64))
(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
alpha
(+.f64 alpha beta)
beta
(*.f64 beta beta)
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))
(-.f64 beta alpha)
#s(literal 1 binary64)
(/.f64 (fma.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
(-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))
(pow.f64 beta #s(literal 3 binary64))
beta
#s(literal 3 binary64)
(pow.f64 alpha #s(literal 3 binary64))
alpha
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
#s(literal 1 binary64)
(.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
(+.f64 alpha beta)
(*.f64 beta beta)
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)

Outputs
(fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
beta
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
alpha
#s(literal -2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta))
(/.f64 (neg.f64 alpha) beta)
(neg.f64 alpha)
alpha
beta
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
(*.f64 #s(literal -2 binary64) alpha)
#s(literal -2 binary64)
alpha
beta
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
(fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))
alpha
(+.f64 alpha beta)
beta
(*.f64 beta beta)
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)))
(-.f64 beta alpha)
#s(literal 1 binary64)
(/.f64 (fma.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))
(pow.f64 beta #s(literal 3 binary64))
beta
#s(literal 3 binary64)
(pow.f64 alpha #s(literal 3 binary64))
alpha
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)))
#s(literal 1 binary64)
(.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
(fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))
(+.f64 alpha beta)
(*.f64 beta beta)
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
#s(literal 2 binary64)

localize145.0ms (2.6%)

Memory

-13.8MiB live, 54.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	0.4461014777388015	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy	3.0429584291510294	(-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))
accuracy	34.228733694186914	(fma.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
accuracy	0.00390625	(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
accuracy	14.852000502524811	(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64))
accuracy	17.326236867351213	(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	22.427483796521322	(/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))
accuracy	0	(*.f64 #s(literal -2 binary64) alpha)
accuracy	0.00390625	(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
accuracy	41.378384743071955	#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
accuracy	43.01781483187125	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	0	(/.f64 (neg.f64 alpha) beta)
accuracy	0	(neg.f64 alpha)
accuracy	43.01781483187125	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
accuracy	46.70449947695704	#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta))
accuracy	0.00390625	(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
accuracy	0.00390625	(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
accuracy	0.015625	(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
accuracy	14.7511767377449	(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))

Samples

64.0ms	194×	0	valid
25.0ms	43×	1	valid
15.0ms	18×	2	valid
1.0ms	1×	3	valid

Compiler

Compiled 837 to 102 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 26.0ms (31.9% of total)

ival-div: 19.0ms (23.3% of total)

ival-add: 13.0ms (15.9% of total)

adjust: 7.0ms (8.6% of total)

ival-pow: 7.0ms (8.6% of total)

ival-sub: 6.0ms (7.4% of total)

ival-neg: 2.0ms (2.5% of total)

exact: 1.0ms (1.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series49.0ms (0.9%)

Memory

4.1MiB live, 18.7MiB allocated

Counts

28 → 325

Calls

Call 1

Inputs
(fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta))
(/.f64 (neg.f64 alpha) beta)
(neg.f64 alpha)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
(fma.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))
(pow.f64 beta #s(literal 3 binary64))
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) alpha)
(/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	alpha	@	inf	((+ (* (/ beta (- (+ alpha beta) -2)) 1/2) (neg (* (- (/ alpha (- (+ alpha beta) -2)) 1) 1/2))) (neg (* (- (/ alpha (- (+ alpha beta) -2)) 1) 1/2)) (* (- (/ alpha (- (+ alpha beta) -2)) 1) 1/2) (/ beta (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (neg alpha) beta) (neg alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) (/ (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) 2) (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (+ (* alpha (+ alpha beta)) (* beta beta)) (+ (* (- (pow beta 3) (pow alpha 3)) (/ 1 (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (- (pow beta 3) (pow alpha 3)) (/ 1 (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))))) 1) 2) (- (pow beta 3) (pow alpha 3)) (pow beta 3) (- (/ alpha (- (+ alpha beta) -2)) 1) (/ alpha (- (+ alpha beta) -2)) (- (+ alpha beta) -2) (* -2 alpha) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (+ 2 (+ alpha beta)) (/ 1 (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta)))) (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))))
7.0ms	alpha	@	0	((+ (* (/ beta (- (+ alpha beta) -2)) 1/2) (neg (* (- (/ alpha (- (+ alpha beta) -2)) 1) 1/2))) (neg (* (- (/ alpha (- (+ alpha beta) -2)) 1) 1/2)) (* (- (/ alpha (- (+ alpha beta) -2)) 1) 1/2) (/ beta (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (neg alpha) beta) (neg alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) (/ (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) 2) (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (+ (* alpha (+ alpha beta)) (* beta beta)) (+ (* (- (pow beta 3) (pow alpha 3)) (/ 1 (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (- (pow beta 3) (pow alpha 3)) (/ 1 (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))))) 1) 2) (- (pow beta 3) (pow alpha 3)) (pow beta 3) (- (/ alpha (- (+ alpha beta) -2)) 1) (/ alpha (- (+ alpha beta) -2)) (- (+ alpha beta) -2) (* -2 alpha) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (+ 2 (+ alpha beta)) (/ 1 (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta)))) (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))))
6.0ms	beta	@	0	((+ (* (/ beta (- (+ alpha beta) -2)) 1/2) (neg (* (- (/ alpha (- (+ alpha beta) -2)) 1) 1/2))) (neg (* (- (/ alpha (- (+ alpha beta) -2)) 1) 1/2)) (* (- (/ alpha (- (+ alpha beta) -2)) 1) 1/2) (/ beta (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (neg alpha) beta) (neg alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) (/ (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) 2) (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (+ (* alpha (+ alpha beta)) (* beta beta)) (+ (* (- (pow beta 3) (pow alpha 3)) (/ 1 (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (- (pow beta 3) (pow alpha 3)) (/ 1 (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))))) 1) 2) (- (pow beta 3) (pow alpha 3)) (pow beta 3) (- (/ alpha (- (+ alpha beta) -2)) 1) (/ alpha (- (+ alpha beta) -2)) (- (+ alpha beta) -2) (* -2 alpha) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (+ 2 (+ alpha beta)) (/ 1 (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta)))) (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))))
6.0ms	alpha	@	-inf	((+ (* (/ beta (- (+ alpha beta) -2)) 1/2) (neg (* (- (/ alpha (- (+ alpha beta) -2)) 1) 1/2))) (neg (* (- (/ alpha (- (+ alpha beta) -2)) 1) 1/2)) (* (- (/ alpha (- (+ alpha beta) -2)) 1) 1/2) (/ beta (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (neg alpha) beta) (neg alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) (/ (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) 2) (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (+ (* alpha (+ alpha beta)) (* beta beta)) (+ (* (- (pow beta 3) (pow alpha 3)) (/ 1 (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (- (pow beta 3) (pow alpha 3)) (/ 1 (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))))) 1) 2) (- (pow beta 3) (pow alpha 3)) (pow beta 3) (- (/ alpha (- (+ alpha beta) -2)) 1) (/ alpha (- (+ alpha beta) -2)) (- (+ alpha beta) -2) (* -2 alpha) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (+ 2 (+ alpha beta)) (/ 1 (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta)))) (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))))
6.0ms	beta	@	inf	((+ (* (/ beta (- (+ alpha beta) -2)) 1/2) (neg (* (- (/ alpha (- (+ alpha beta) -2)) 1) 1/2))) (neg (* (- (/ alpha (- (+ alpha beta) -2)) 1) 1/2)) (* (- (/ alpha (- (+ alpha beta) -2)) 1) 1/2) (/ beta (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (neg alpha) beta) (neg alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) (/ (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) 2) (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (+ (* alpha (+ alpha beta)) (* beta beta)) (+ (* (- (pow beta 3) (pow alpha 3)) (/ 1 (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (- (pow beta 3) (pow alpha 3)) (/ 1 (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))))) 1) 2) (- (pow beta 3) (pow alpha 3)) (pow beta 3) (- (/ alpha (- (+ alpha beta) -2)) 1) (/ alpha (- (+ alpha beta) -2)) (- (+ alpha beta) -2) (* -2 alpha) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (+ 2 (+ alpha beta)) (/ 1 (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta)))) (* (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))))

simplify165.0ms (3%)

Memory

1.7MiB live, 62.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1789	10865
1	6100	10527
0	8190	10006

Stop Event

1×	iter limit
1×	node limit

Counts

325 → 323

Calls

Call 1

Inputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2)))))) (* 1/2 (/ 1 (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ 1 (pow (+ 2 beta) 2))) (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))))))) (* 1/2 (/ 1 (+ 2 beta)))))))
1/2
(+ 1/2 (* -1/2 (/ alpha (+ 2 beta))))
(+ 1/2 (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))))
(+ 1/2 (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))))
-1/2
(- (* 1/2 (/ alpha (+ 2 beta))) 1/2)
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2)
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2)
(/ beta (+ 2 beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(* -1 (/ alpha beta))
(* -1 alpha)
(/ -2 beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
-2
(- (* -2 alpha) 2)
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ (pow beta 2) (+ 2 beta))
(+ (* alpha (- (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+ (* alpha (- (+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ beta (pow (+ 2 beta) 3)) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(pow beta 2)
(+ (* alpha beta) (pow beta 2))
(+ (* alpha (+ alpha beta)) (pow beta 2))
(+ 1 (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (pow (+ 2 beta) 2))))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* (pow beta 2) (+ 2 beta)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (pow (+ 2 beta) 2))))) (+ (* beta (+ 2 beta)) (pow beta 2))) (* (pow beta 2) (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (/ 1 (* (pow beta 2) (+ 2 beta)))))))) (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (pow (+ 2 beta) 2))))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (pow (+ 2 beta) 2))))))) (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* (pow beta 2) (+ 2 beta)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (pow (+ 2 beta) 2))))) (+ (* beta (+ 2 beta)) (pow beta 2))) (* (pow beta 2) (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (/ 1 (* (pow beta 2) (+ 2 beta)))))))) (* -1/2 (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (pow (+ 2 beta) 2)))))))))))
(pow beta 3)
(+ (* -1 (pow alpha 3)) (pow beta 3))
-1
(- (/ alpha (+ 2 beta)) 1)
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(/ alpha (+ 2 beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(+ 2 beta)
(+ 2 (+ alpha beta))
(* -2 alpha)
(/ 1 beta)
(+ (* -2 (/ alpha (pow beta 2))) (/ 1 beta))
(+ (* alpha (- (/ alpha (pow beta 3)) (* 2 (/ 1 (pow beta 2))))) (/ 1 beta))
(+ (* alpha (- (* alpha (+ (/ 1 (pow beta 3)) (/ alpha (pow beta 4)))) (* 2 (/ 1 (pow beta 2))))) (/ 1 beta))
(/ 1 (* (pow beta 2) (+ 2 beta)))
(+ (* -1 (* alpha (+ (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))) (/ 1 (* (pow beta 3) (+ 2 beta)))))) (/ 1 (* (pow beta 2) (+ 2 beta))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))) (/ 1 (* (pow beta 3) (+ 2 beta))))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 4) (pow (+ 2 beta) 2)))))))) (+ (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))) (/ 1 (* (pow beta 3) (+ 2 beta)))))) (/ 1 (* (pow beta 2) (+ 2 beta))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))) (/ 1 (* (pow beta 3) (+ 2 beta))))) (* (pow beta 2) (+ 2 beta)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))) (/ 1 (* (pow beta 3) (+ 2 beta))))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 4) (pow (+ 2 beta) 2)))))) (+ (* beta (+ 2 beta)) (pow beta 2))) (* (pow beta 2) (+ 2 beta)))) (/ 1 (* (pow beta 4) (pow (+ 2 beta) 2))))))) (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))) (/ 1 (* (pow beta 3) (+ 2 beta))))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 4) (pow (+ 2 beta) 2)))))))) (+ (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))) (/ 1 (* (pow beta 3) (+ 2 beta)))))) (/ 1 (* (pow beta 2) (+ 2 beta))))
(* (pow beta 2) (+ 2 beta))
(+ (* alpha (+ (* beta (+ 2 beta)) (pow beta 2))) (* (pow beta 2) (+ 2 beta)))
(+ (* alpha (+ (* alpha (+ 2 (* 2 beta))) (+ (* beta (+ 2 beta)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))
(+ (* alpha (+ (* alpha (+ 2 (+ alpha (* 2 beta)))) (+ (* beta (+ 2 beta)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))
(/ (- (* 1/2 beta) (* -1/2 (+ 2 beta))) alpha)
(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (* 1/2 beta)) (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* 1/2 beta) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1/2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* 1/2 beta) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3))))))) alpha)
(* 1/2 (/ (+ 2 beta) alpha))
(/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha)
(/ (- (* 1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
(/ (- (* -1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(* -1/2 (/ (+ 2 beta) alpha))
(/ (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))) alpha)
(/ (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
(/ (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3)))))) alpha)
(/ beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -2 (/ alpha beta))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
alpha
(* alpha (- 1 (* 2 (/ 1 alpha))))
(* alpha (- (+ 1 (/ (pow beta 2) (pow alpha 2))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha)))))
(* alpha (- (+ 1 (+ (* -1 (/ (* (+ 2 beta) (- (pow beta 2) (* -2 (+ 2 beta)))) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2)))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (/ beta alpha)))
(* (pow alpha 2) (+ 1 (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))
(/ (+ 2 (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow beta 2) alpha))))) alpha)
(/ (+ 2 (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2)))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* beta (+ 2 beta)) (pow beta 2))) (pow alpha 2))) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (* beta (+ 2 beta)) alpha) (+ (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2)) (+ (/ (pow beta 2) alpha) (/ (pow beta 3) (pow alpha 2)))))))))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* beta (+ 2 beta)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2)))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* beta (+ 2 beta)) (pow beta 2))) (pow alpha 2))) (+ (* -1 (/ (* (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))) (+ (* beta (+ 2 beta)) (pow beta 2))) (pow alpha 3))) (+ (* -1 (/ (* (pow beta 2) (* (+ 2 beta) (+ 2 (* 2 beta)))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (* beta (+ 2 beta)) alpha) (+ (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2)) (+ (/ (pow beta 2) alpha) (/ (pow beta 3) (pow alpha 2))))))))))))) (/ (* (pow beta 3) (+ 2 (* 2 beta))) (pow alpha 3))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* beta (+ 2 beta)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow beta 3)))) (pow alpha 2))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))) alpha)))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* beta (+ 2 beta)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow beta 3)))) (pow alpha 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))) alpha)) (* 1/2 (/ (- (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* beta (+ 2 beta)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))))) (+ (* -1 (* (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))) (+ (* beta (+ 2 beta)) (pow beta 2)))) (* -1 (* (pow beta 2) (* (+ 2 beta) (+ 2 (* 2 beta))))))) (* (pow beta 3) (+ 2 (* 2 beta)))) (pow alpha 3)))))) alpha)
(* -1 (pow alpha 3))
(* (pow alpha 3) (- (/ (pow beta 3) (pow alpha 3)) 1))
(* -1 (/ (+ 2 beta) alpha))
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
1
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(/ -1 alpha)
(/ (- (/ beta alpha) (+ 1 (* -1 (/ beta alpha)))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (pow beta 2)) (* beta (- beta (* -1 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ beta alpha)))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (* beta (+ (* -1 (pow beta 2)) (* beta (- beta (* -1 beta)))))) (* (pow beta 2) (- beta (* -1 beta)))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (/ (* beta (- beta (* -1 beta))) (pow alpha 2)))))) alpha)
(/ 1 (pow alpha 3))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 beta)) alpha))) (pow alpha 3))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))) (pow alpha 3))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* beta (+ 2 beta)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (+ (/ (* beta (+ 2 beta)) (pow alpha 2)) (/ (pow beta 2) (pow alpha 2))))))) (pow alpha 3))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (+ (/ (* beta (+ 2 beta)) (pow alpha 2)) (/ (pow beta 2) (pow alpha 2)))))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (+ (/ (* beta (+ 2 beta)) (pow alpha 2)) (+ (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 3)) (/ (pow beta 2) (pow alpha 2))))))))
(* -1 (/ (- (* -1/2 beta) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* beta (+ 2 beta))) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 beta)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* beta (pow (+ 2 beta) 2))) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* -1/2 (* beta (+ 2 beta)))) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 beta)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* beta (pow (+ 2 beta) 3))) (* 1/2 (pow (+ 2 beta) 4))) alpha)) (* -1/2 (* beta (pow (+ 2 beta) 2)))) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* -1/2 (* beta (+ 2 beta)))) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 beta)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 4) alpha)) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (+ 2 beta) 4) alpha)) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (* alpha (- (* 2 (/ 1 alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow beta 2)) (* 2 (+ 2 beta))) alpha)) 2) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 beta) (- (* -1 (pow beta 2)) (* 2 (+ 2 beta)))) alpha)) (* -1 (pow beta 2))) (* 2 (+ 2 beta))) alpha)) 2) alpha)) 1)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(* -1 (/ (- (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow beta 2) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow beta 3)) (+ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (+ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (* 2 beta)) 2)))) (* (pow beta 2) (+ 2 beta))))) alpha)) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (* 2 beta)) 2)))) alpha)) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (pow beta 3)) (+ (/ (* (+ 2 (* 2 beta)) (+ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (+ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (* 2 beta)) 2)))) (* (pow beta 2) (+ 2 beta))))) alpha) (+ (/ (* (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow beta 2))) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (* 2 beta)) 2)))) alpha) (+ (/ (* (pow beta 2) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha) (/ (* (pow beta 3) (+ 2 (* 2 beta))) alpha))))) (+ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (+ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (* 2 beta)) 2)))) (* (pow beta 2) (+ 2 beta))))) alpha)) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (* 2 beta)) 2)))) alpha)) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (* 2 beta)) 2))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (* 2 beta)) 2)))) (* -1/2 (/ (- (* -1 (pow beta 3)) (+ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (+ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (* 2 beta)) 2)))) (* (pow beta 2) (+ 2 beta))))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (pow beta 3)) (+ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (+ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (* 2 beta)) 2)))) (* (pow beta 2) (+ 2 beta)))))) (* 1/2 (/ (+ (* (+ 2 (* 2 beta)) (+ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (+ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (* 2 beta)) 2)))) (* (pow beta 2) (+ 2 beta))))) (+ (* (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow beta 2))) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (* 2 beta)) 2)))) (+ (* (pow beta 2) (* (+ 2 beta) (+ 2 (* 2 beta)))) (* (pow beta 3) (+ 2 (* 2 beta)))))) alpha))) alpha)) (* -1/2 (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (* 2 beta)) 2))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(* -1 (* (pow alpha 3) (+ 1 (* -1 (/ (pow beta 3) (pow alpha 3))))))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (/ (+ 1 (* -1 (/ (- beta (* -1 beta)) alpha))) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (+ (* -1 (/ (* beta (- beta (* -1 beta))) alpha)) (/ (pow beta 2) alpha))) (* -1 beta)) alpha))) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (/ (* beta (+ (* -1 (* beta (- beta (* -1 beta)))) (pow beta 2))) alpha) (/ (* (pow beta 2) (- beta (* -1 beta))) alpha)) (+ (* -1 (* beta (- beta (* -1 beta)))) (pow beta 2))) alpha))) (* -1 beta)) alpha))) alpha))
(* -1 (/ (- (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) 1) (pow alpha 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow beta 2) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (+ 2 (* 2 beta))) alpha)) 1) (pow alpha 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) alpha) (+ (/ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (* 2 beta)) 2)))) alpha) (/ (* (pow beta 2) (+ 2 beta)) alpha))) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (* 2 beta)) 2)))) alpha)) (+ 2 (* 2 beta))) alpha)) 1) (pow alpha 3)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 2 (* 2 beta)) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1)))
(* -1/2 (- (/ alpha (+ 2 alpha)) 1))
(- (* beta (- (* 1/2 (/ 1 (+ 2 alpha))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(- (* beta (- (+ (* -1 (* beta (+ (* 1/2 (/ 1 (pow (+ 2 alpha) 2))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3)))))) (* 1/2 (/ 1 (+ 2 alpha)))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(- (* beta (- (+ (* 1/2 (/ 1 (+ 2 alpha))) (* beta (- (* beta (- (* 1/2 (/ 1 (pow (+ 2 alpha) 3))) (* -1/2 (/ alpha (pow (+ 2 alpha) 4))))) (+ (* 1/2 (/ 1 (pow (+ 2 alpha) 2))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3))))))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(- (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(- (* beta (- (* -1/2 (/ (* alpha beta) (pow (+ 2 alpha) 3))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(- (* beta (- (* beta (- (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3))))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(* 1/2 (- (/ alpha (+ 2 alpha)) 1))
(+ (* -1/2 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(+ (* 1/2 (- (/ alpha (+ 2 alpha)) 1)) (* beta (+ (* -1/2 (/ alpha (pow (+ 2 alpha) 2))) (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 3))))))
(+ (* 1/2 (- (/ alpha (+ 2 alpha)) 1)) (* beta (+ (* -1/2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (+ (* -1/2 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3))))))))
(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ (- (* -2 alpha) 2) beta)
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(/ (pow alpha 2) (+ 2 alpha))
(+ (* beta (- (/ alpha (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
(+ (* beta (- (+ (* beta (- (+ (/ 1 (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ alpha (pow (+ 2 alpha) 3)) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (+ (/ 1 (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
(+ (* alpha beta) (pow alpha 2))
(+ (* beta (+ alpha beta)) (pow alpha 2))
(- (+ 1 (* beta (+ (* beta (+ (* -1 (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* (pow alpha 2) (+ 2 alpha)))) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (pow (+ 2 alpha) 2)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (+ (* -1 (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* (pow alpha 2) (+ 2 alpha)))) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (+ (* 2 (/ 1 (pow (+ 2 alpha) 2))) (* beta (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* (pow alpha 2) (+ 2 alpha)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* (pow alpha 2) (+ 2 alpha)))) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (pow (+ 2 alpha) 2))))) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (* (pow alpha 2) (+ 2 alpha)))) (+ (/ 1 (* alpha (pow (+ 2 alpha) 2))) (/ 1 (* (pow alpha 2) (+ 2 alpha))))))))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (+ (* -1 (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* (pow alpha 2) (+ 2 alpha)))) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (pow (+ 2 alpha) 2))))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* (pow alpha 2) (+ 2 alpha)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* (pow alpha 2) (+ 2 alpha)))) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (pow (+ 2 alpha) 2))))) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (* (pow alpha 2) (+ 2 alpha)))) (+ (/ 1 (* alpha (pow (+ 2 alpha) 2))) (/ 1 (* (pow alpha 2) (+ 2 alpha)))))))) (* 1/2 (+ (* -1 (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* (pow alpha 2) (+ 2 alpha)))) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (pow (+ 2 alpha) 2)))))))))))
(- (pow beta 3) (pow alpha 3))
(- (/ alpha (+ 2 alpha)) 1)
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(/ alpha (+ 2 alpha))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+ 2 alpha)
(- (* 2 (/ beta (pow alpha 2))) (/ 1 alpha))
(- (* beta (+ (* -1 (/ beta (pow alpha 3))) (* 2 (/ 1 (pow alpha 2))))) (/ 1 alpha))
(- (* beta (+ (* beta (- (* -1 (/ beta (pow alpha 4))) (/ 1 (pow alpha 3)))) (* 2 (/ 1 (pow alpha 2))))) (/ 1 alpha))
(/ 1 (* (pow alpha 2) (+ 2 alpha)))
(+ (* -1 (* beta (+ (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (/ 1 (* (pow alpha 3) (+ 2 alpha)))))) (/ 1 (* (pow alpha 2) (+ 2 alpha))))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (/ 1 (* (pow alpha 3) (+ 2 alpha))))) (* (pow alpha 2) (+ 2 alpha)))) (+ (* 2 (/ 1 (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 4) (pow (+ 2 alpha) 2)))))))) (+ (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (/ 1 (* (pow alpha 3) (+ 2 alpha)))))) (/ 1 (* (pow alpha 2) (+ 2 alpha))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (/ 1 (* (pow alpha 3) (+ 2 alpha))))) (* (pow alpha 2) (+ 2 alpha)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (/ 1 (* (pow alpha 3) (+ 2 alpha))))) (* (pow alpha 2) (+ 2 alpha)))) (+ (* 2 (/ 1 (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 4) (pow (+ 2 alpha) 2)))))) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (* (pow alpha 2) (+ 2 alpha)))) (/ 1 (* (pow alpha 4) (pow (+ 2 alpha) 2))))))) (+ (* -1 (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (/ 1 (* (pow alpha 3) (+ 2 alpha))))) (* (pow alpha 2) (+ 2 alpha)))) (+ (* 2 (/ 1 (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 4) (pow (+ 2 alpha) 2)))))))) (+ (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (/ 1 (* (pow alpha 3) (+ 2 alpha)))))) (/ 1 (* (pow alpha 2) (+ 2 alpha))))
(* (pow alpha 2) (+ 2 alpha))
(+ (* beta (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (* (pow alpha 2) (+ 2 alpha)))
(+ (* beta (+ (* alpha (+ 2 alpha)) (+ (* beta (+ 2 (* 2 alpha))) (pow alpha 2)))) (* (pow alpha 2) (+ 2 alpha)))
(+ (* beta (+ (* alpha (+ 2 alpha)) (+ (* beta (+ 2 (+ beta (* 2 alpha)))) (pow alpha 2)))) (* (pow alpha 2) (+ 2 alpha)))
(- (+ 1 (* -1/2 (/ (+ 2 alpha) beta))) (* 1/2 (/ alpha beta)))
(- (+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))))) (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (* 1/2 (/ alpha beta))))
(- (+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (+ (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))))))
(+ 1/2 (* -1/2 (/ alpha beta)))
(- (+ 1/2 (* 1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (* 1/2 (/ alpha beta)))
(- (+ 1/2 (* -1/2 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3)))) (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (* 1/2 (/ alpha beta))))
(- (* 1/2 (/ alpha beta)) 1/2)
(- (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (* 1/2 (/ alpha beta))) 1/2)
(- (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))))) 1/2)
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
beta
(* beta (- 1 (* 2 (/ 1 beta))))
(* beta (- (+ 1 (/ (pow alpha 2) (pow beta 2))) (+ (* -2 (/ (+ 2 alpha) (pow beta 2))) (* 2 (/ 1 beta)))))
(* beta (- (+ 1 (+ (* -1 (/ (* (+ 2 alpha) (- (pow alpha 2) (* -2 (+ 2 alpha)))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2)))) (+ (* -2 (/ (+ 2 alpha) (pow beta 2))) (* 2 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (/ alpha beta)))
(* (pow beta 2) (+ 1 (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))
(- (+ 2 (* -1 (/ (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))))) (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* alpha (+ 2 alpha)) (pow alpha 2)))) (+ (* (pow alpha 2) (+ 2 alpha)) (pow alpha 3)))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2)))))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))))) (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* alpha (+ 2 alpha)) (pow alpha 2)))) (+ (* (pow alpha 2) (+ 2 alpha)) (pow alpha 3)))) (pow beta 3))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (pow beta 2))))))
(* (pow beta 3) (+ 1 (* -1 (/ (pow alpha 3) (pow beta 3)))))
(- (/ alpha beta) 1)
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
(/ alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(/ (- (+ 1 (* -1 (/ alpha beta))) (/ alpha beta)) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* alpha (- (* -1 alpha) alpha)) (pow alpha 2)) (pow beta 2))))) (/ alpha beta)) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* -1 (* alpha (+ (* alpha (- (* -1 alpha) alpha)) (pow alpha 2)))) (* (pow alpha 2) (- (* -1 alpha) alpha))) (pow beta 3))))) (+ (/ alpha beta) (+ (/ (* alpha (- (* -1 alpha) alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))) beta)
(/ 1 (pow beta 3))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 alpha)) beta))) (pow beta 3))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) (pow beta 3))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))))) (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* alpha (+ 2 alpha)) (pow alpha 2)))) (* (pow alpha 2) (+ 2 alpha)))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))))) (pow beta 3))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2)))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (+ (/ (* (pow alpha 2) (+ 2 alpha)) (pow beta 3)) (/ (pow alpha 2) (pow beta 2))))))))
(+ 1 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (+ 2 alpha) beta))))
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (* alpha (+ 2 alpha)) beta)) (* -1/2 (/ (pow (+ 2 alpha) 2) beta))) (+ (* -1/2 alpha) (* -1/2 (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1/2 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -1/2 (* alpha (+ 2 alpha))) (* -1/2 (pow (+ 2 alpha) 2)))) beta)) (+ (* -1/2 alpha) (* -1/2 (+ 2 alpha)))) beta)))
(+ 1/2 (* -1 (/ (- (* -1/2 (/ (* alpha (+ 2 alpha)) beta)) (* -1/2 alpha)) beta)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1/2 (* alpha (+ 2 alpha)))) beta)) (* -1/2 alpha)) beta)))
(- (* -1 (/ (+ (* -1/2 alpha) (* 1/2 (/ (* alpha (+ 2 alpha)) beta))) beta)) 1/2)
(- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* alpha (+ 2 alpha))) (* 1/2 (/ (* alpha (pow (+ 2 alpha) 2)) beta))) beta)) (* -1/2 alpha)) beta)) 1/2)
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* -1 (* beta (- (* 2 (/ 1 beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow alpha 2)) (* 2 (+ 2 alpha))) beta)) 2) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (- (* -1 (pow alpha 2)) (* 2 (+ 2 alpha)))) beta)) (* -1 (pow alpha 2))) (* 2 (+ 2 alpha))) beta)) 2) beta)) 1)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(+ 2 (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (pow alpha 2)) (pow (+ 2 (* 2 alpha)) 2))) beta)) (* 2 alpha))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (pow alpha 3) beta)) (+ (* -1 (pow alpha 2)) (pow (+ 2 (* 2 alpha)) 2)))) (+ (/ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2)))) beta) (+ (/ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (pow alpha 2)) (pow (+ 2 (* 2 alpha)) 2)))) beta) (/ (* (pow alpha 2) (+ 2 alpha)) beta)))) beta)) (* 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (pow alpha 2)) (pow (+ 2 (* 2 alpha)) 2))) beta)) (* 1/2 (+ 2 (* 2 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (pow alpha 2)) (pow (+ 2 (* 2 alpha)) 2)))) (* 1/2 (/ (- (* -1 (pow alpha 3)) (+ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2)))) (+ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (pow alpha 2)) (pow (+ 2 (* 2 alpha)) 2)))) (* (pow alpha 2) (+ 2 alpha))))) beta))) beta)) (* 1/2 (+ 2 (* 2 alpha)))) beta)))
(* -1 (* (pow beta 3) (- (/ (pow alpha 3) (pow beta 3)) 1)))
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (/ (- (/ alpha beta) (+ 1 (* -1 (/ alpha beta)))) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (pow alpha 2)) beta))) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (+ (* -1 (/ (+ (* alpha (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (pow alpha 2))) (* (pow alpha 2) (- alpha (* -1 alpha)))) beta)) (pow alpha 2))) beta))) beta)) 1) beta))
(* -1 (/ (- (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))) 1) (pow beta 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* -1 (/ (pow alpha 2) beta)) (/ (pow (+ 2 (* 2 alpha)) 2) beta))) (+ 2 (* 2 alpha))) beta)) 1) (pow beta 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2)))) beta) (+ (/ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (pow alpha 2)) (pow (+ 2 (* 2 alpha)) 2)))) beta) (/ (* (pow alpha 2) (+ 2 alpha)) beta))) (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (pow alpha 2)) (pow (+ 2 (* 2 alpha)) 2)))) beta)) (+ 2 (* 2 alpha))) beta)) 1) (pow beta 3)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 2 (* 2 alpha)) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))

Outputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))))))
(+.f64 (fma.f64 (-.f64 (.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2)))))) (* 1/2 (/ 1 (+ 2 beta)))))))
(+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ 1 (pow (+ 2 beta) 2))) (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))))))) (* 1/2 (/ 1 (+ 2 beta)))))))
(+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 (/ alpha (+ 2 beta))))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))))
(fma.f64 (-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha #s(literal 1/2 binary64))
(+ 1/2 (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))))
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(+ (* alpha (+ alpha beta)) (pow beta 2))
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* (pow beta 2) (+ 2 beta)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (pow (+ 2 beta) 2))))) (+ (* beta (+ 2 beta)) (pow beta 2))) (* (pow beta 2) (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (/ 1 (* (pow beta 2) (+ 2 beta)))))))) (* -1/2 (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (pow (+ 2 beta) 2)))))))))))
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(+ 2 beta)
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(/ 1 beta)
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(+ (* -2 (/ alpha (pow beta 2))) (/ 1 beta))
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(+ (* alpha (- (/ alpha (pow beta 3)) (* 2 (/ 1 (pow beta 2))))) (/ 1 beta))
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(/ 1 (* (pow beta 2) (+ 2 beta)))
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(* (pow beta 2) (+ 2 beta))
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(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* 1/2 beta) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
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(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1/2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* 1/2 beta) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3))))))) alpha)
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(* 1/2 (/ (+ 2 beta) alpha))
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(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
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(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
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(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
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(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
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(* -2 (/ alpha beta))
(*.f64 (/.f64 alpha beta) #s(literal -2 binary64))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 alpha beta)) (/.f64 #s(literal 2 binary64) beta)))
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
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(/ (+ 2 (* 2 beta)) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
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alpha
(* alpha (- 1 (* 2 (/ 1 alpha))))
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(* alpha (- (+ 1 (/ (pow beta 2) (pow alpha 2))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha)))))
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* beta (+ 2 beta)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow beta 3)))) (pow alpha 2))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))) alpha)) (* 1/2 (/ (- (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* beta (+ 2 beta)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))))) (+ (* -1 (* (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))) (+ (* beta (+ 2 beta)) (pow beta 2)))) (* -1 (* (pow beta 2) (* (+ 2 beta) (+ 2 (* 2 beta))))))) (* (pow beta 3) (+ 2 (* 2 beta)))) (pow alpha 3)))))) alpha)
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(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (* beta (+ 2 beta)) (pow beta 2))))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* beta (+ 2 beta)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (+ (/ (* beta (+ 2 beta)) (pow alpha 2)) (/ (pow beta 2) (pow alpha 2))))))) (pow alpha 3))
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(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) alpha)) beta))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal -1/2 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) alpha)))) beta)) beta))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (-.f64 #s(literal 2 binary64) (/.f64 alpha beta)) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) alpha)))) beta))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) alpha))) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) alpha)) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) alpha)) beta))) beta)) beta))
(* -1 (* beta (- (* 2 (/ 1 beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow alpha 2)) (* 2 (+ 2 alpha))) beta)) 2) beta)) 1)))
(.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 alpha alpha) #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64))) beta) #s(literal -1 binary64) #s(literal -2 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (- (* -1 (pow alpha 2)) (* 2 (+ 2 alpha)))) beta)) (* -1 (pow alpha 2))) (* 2 (+ 2 alpha))) beta)) 2) beta)) 1)))
(.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 (.f64 alpha alpha) #s(literal -1 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64))) beta) (.f64 alpha alpha)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64))) beta) #s(literal -1 binary64) #s(literal -2 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 alpha (/.f64 (.f64 alpha alpha) beta))) beta)) (*.f64 beta beta))
(+ 2 (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (pow alpha 2)) (pow (+ 2 (* 2 alpha)) 2))) beta)) (* 2 alpha))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (.f64 alpha alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64))) beta)) (.f64 #s(literal 2 binary64) alpha)) beta))
(+ 2 (* -1 (/ (+ 2 (+ (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (pow alpha 3) beta)) (+ (* -1 (pow alpha 2)) (pow (+ 2 (* 2 alpha)) 2)))) (+ (/ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2)))) beta) (+ (/ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (pow alpha 2)) (pow (+ 2 (* 2 alpha)) 2)))) beta) (/ (* (pow alpha 2) (+ 2 alpha)) beta)))) beta)) (* 2 alpha))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (fma.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha) (-.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 alpha alpha)) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (.f64 alpha alpha))) beta) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (.f64 alpha alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64))) beta) (.f64 (.f64 alpha alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))))) beta)) (.f64 #s(literal 2 binary64) alpha)) beta))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (pow alpha 2)) (pow (+ 2 (* 2 alpha)) 2))) beta)) (* 1/2 (+ 2 (* 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (.f64 alpha alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64))) beta) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 1/2 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (pow alpha 2)) (pow (+ 2 (* 2 alpha)) 2)))) (* 1/2 (/ (- (* -1 (pow alpha 3)) (+ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2)))) (+ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (pow alpha 2)) (pow (+ 2 (* 2 alpha)) 2)))) (* (pow alpha 2) (+ 2 alpha))))) beta))) beta)) (* 1/2 (+ 2 (* 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (.f64 alpha alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (.f64 alpha alpha))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (.f64 alpha alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))))) beta))) beta)) beta))
(* -1 (* (pow beta 3) (- (/ (pow alpha 3) (pow beta 3)) 1)))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 1 binary64)))
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(fma.f64 (/.f64 (fma.f64 alpha (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (neg.f64 alpha)) beta) #s(literal -1 binary64) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (*.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) beta)) alpha) beta) #s(literal -1 binary64) #s(literal -1 binary64))
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(neg.f64 (/.f64 (fma.f64 alpha (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (neg.f64 alpha)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (*.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) beta)) alpha) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) (.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta)) (.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) beta)) alpha) beta))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)))
(* -1 (/ (- (/ alpha beta) (+ 1 (* -1 (/ alpha beta)))) beta))
(neg.f64 (/.f64 (-.f64 (/.f64 alpha beta) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (pow alpha 2)) beta))) beta)) 1) beta))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 alpha) (+.f64 alpha alpha) (*.f64 alpha alpha)) beta)) (+.f64 alpha alpha)) beta) #s(literal -1 binary64) #s(literal -1 binary64)) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (+ (* -1 (/ (+ (* alpha (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (pow alpha 2))) (* (pow alpha 2) (- alpha (* -1 alpha)))) beta)) (pow alpha 2))) beta))) beta)) 1) beta))
(/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (+.f64 alpha alpha)) (/.f64 (fma.f64 (neg.f64 alpha) (+.f64 alpha alpha) (-.f64 (.f64 alpha alpha) (/.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (+.f64 alpha alpha) (.f64 alpha alpha)) alpha (.f64 (+.f64 alpha alpha) (.f64 alpha alpha))) beta))) beta)) beta) #s(literal -1 binary64) #s(literal -1 binary64))) beta)
(* -1 (/ (- (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))) 1) (pow beta 3)))
(/.f64 (neg.f64 (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)))) (pow.f64 beta #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* -1 (/ (pow alpha 2) beta)) (/ (pow (+ 2 (* 2 alpha)) 2) beta))) (+ 2 (* 2 alpha))) beta)) 1) (pow beta 3)))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64)) beta) (/.f64 (.f64 alpha alpha) beta)) (.f64 alpha (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) beta) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 beta #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2)))) beta) (+ (/ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (pow alpha 2)) (pow (+ 2 (* 2 alpha)) 2)))) beta) (/ (* (pow alpha 2) (+ 2 alpha)) beta))) (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (pow alpha 2)) (pow (+ 2 (* 2 alpha)) 2)))) beta)) (+ 2 (* 2 alpha))) beta)) 1) (pow beta 3)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (.f64 alpha alpha))) beta) (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (.f64 alpha alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64))) beta) (.f64 (.f64 alpha alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (fma.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (*.f64 alpha alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64)))))) beta) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) beta) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 beta #s(literal 3 binary64)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 2 (* 2 alpha)) beta)) 1)))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) alpha (neg.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (.f64 alpha alpha))) beta))) #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) alpha (neg.f64 (/.f64 (fma.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha) (neg.f64 (fma.f64 (.f64 alpha alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (*.f64 alpha alpha)))) beta))) #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64)))

rewrite179.0ms (3.2%)

Memory

-2.6MiB live, 71.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	378
0	83	354
1	423	303
2	3576	303
0	8985	298

Stop Event

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

Counts

28 → 977

Calls

Call 1

Inputs
(fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta))
(/.f64 (neg.f64 alpha) beta)
(neg.f64 alpha)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
(fma.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))
(pow.f64 beta #s(literal 3 binary64))
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) alpha)
(/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))

Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (+.f64 (fma.f64 #s(literal -2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (fma.f64 #s(literal -2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (*.f64 (neg.f64 beta) beta)))
(/.f64 (.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 3 binary64)))) (fma.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha beta) alpha)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (+.f64 alpha beta)) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 2 binary64)) (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (+.f64 alpha beta))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (+.f64 alpha beta)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (+.f64 alpha beta)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 2 binary64)) (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (+.f64 alpha beta))))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) (+.f64 (fma.f64 #s(literal -2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 (.f64 (+.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 3 binary64))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha beta) alpha)) (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (.f64 (+.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha beta) alpha)) (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (.f64 (fma.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha beta) alpha)) (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (.f64 (fma.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha beta) alpha)) (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (.f64 (fma.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha beta) alpha)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha beta) alpha)) (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 3 binary64)))) (.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha beta) alpha)) (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (+.f64 alpha beta) alpha (*.f64 (neg.f64 beta) beta))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 3 binary64)))) (.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha beta) alpha)) (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 3 binary64)))) (.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha beta) alpha)) (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 3 binary64)))) (.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha beta) alpha)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) #s(literal -1 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(/.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) #s(literal -1 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(fma.f64 (+.f64 #s(literal 2 binary64) alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (.f64 beta (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))))
(fma.f64 (.f64 (+.f64 alpha beta) alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (.f64 (*.f64 beta beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (+.f64 #s(literal 2 binary64) alpha) (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) beta))
(fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 2 binary64) (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (+.f64 alpha beta)))
(fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (+.f64 alpha beta) (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) alpha (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (-.f64 beta #s(literal -2 binary64))))
(fma.f64 (.f64 beta beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (.f64 (*.f64 (+.f64 alpha beta) alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (+.f64 alpha beta)))
(fma.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (.f64 (+.f64 alpha beta) alpha) (.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (*.f64 beta beta)))
(fma.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (.f64 beta beta) (.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (*.f64 (+.f64 alpha beta) alpha)))
(fma.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) #s(literal 2 binary64)))
(fma.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (.f64 (-.f64 beta #s(literal -2 binary64)) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal -1 binary64))))
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))))
(+.f64 (.f64 (.f64 (+.f64 alpha beta) alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (.f64 (.f64 beta beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(+.f64 (.f64 (.f64 beta beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (.f64 (.f64 (+.f64 alpha beta) alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(+.f64 (.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (.f64 (-.f64 beta #s(literal -2 binary64)) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))))
(+.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (+.f64 #s(literal 2 binary64) alpha)) (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) beta))
(+.f64 (.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (.f64 (+.f64 alpha beta) alpha)) (.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (.f64 beta beta)))
(+.f64 (.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (.f64 beta beta)) (.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (.f64 (+.f64 alpha beta) alpha)))
(+.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) alpha) (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (-.f64 beta #s(literal -2 binary64))))
(+.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (+.f64 alpha beta)) (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 2 binary64)))
(+.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 2 binary64)) (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (+.f64 alpha beta)))

eval154.0ms (2.8%)

Memory: 6.0MiB live, 117.5MiB allocated
Compiler: Compiled 50 249 to 5 731 computations (88.6% saved)

prune30.0ms (0.5%)

Memory

2.1MiB live, 51.1MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1 183	7	1 190
Fresh	4	9	13
Picked	3	2	5
Done	0	2	2
Total	1 190	20	1 210

Accuracy

99.9%

Counts

1 210 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	24.1%	(fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(approx (- (/ alpha (- (+ alpha beta) -2)) 1) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) alpha)) alpha)) alpha)) alpha))) #s(literal 1/2 binary64))))
	77.6%	(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
▶	52.2%	(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	32.7%	(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ ( alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	30.5%	(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	39.5%	(/.f64 (fma.f64 #s(approx (- (pow beta 3) (pow alpha 3)) (neg.f64 (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	76.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta) #s(literal -1 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))))) #s(literal 2 binary64))
✓	77.0%	(/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	77.6%	(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
	74.4%	#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	24.0%	#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64) (/.f64 (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta))) alpha)) (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (.f64 alpha alpha))))) alpha))
	48.2%	#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
✓	35.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	27.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	23.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
	26.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)))))
✓	3.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
▶	33.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
✓	39.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 1 240 to 745 computations (39.9% saved)

simplify107.0ms (1.9%)

Memory

-4.4MiB live, 33.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64))))
cost-diff	0	(fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	128	(fma.f64 (+.f64 alpha beta) alpha (*.f64 (neg.f64 beta) beta))
cost-diff	0	(+.f64 alpha beta)
cost-diff	0	(fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	2688	(fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
cost-diff	0	(-.f64 alpha beta)
cost-diff	0	(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
cost-diff	0	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) beta)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
cost-diff	0	#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
cost-diff	0	(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
cost-diff	128	(neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
cost-diff	128	(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
cost-diff	1088	(+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	474
0	94	468
1	191	440
2	437	439
3	1424	420
4	5912	416
0	8272	413

Stop Event

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

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
#s(literal 1/2 binary64)
(+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
beta
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
alpha
#s(literal -2 binary64)
(neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) beta)
beta
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
alpha
beta
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))
(+.f64 alpha beta)
alpha
beta
(*.f64 beta beta)
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)))
(-.f64 beta alpha)
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))
(pow.f64 beta #s(literal 3 binary64))
beta
#s(literal 3 binary64)
(pow.f64 alpha #s(literal 3 binary64))
alpha
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
#s(literal -2 binary64)
(-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))
(pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64))
(*.f64 (+.f64 alpha beta) alpha)
#s(literal 2 binary64)
(pow.f64 beta #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (+.f64 alpha beta) alpha (*.f64 (neg.f64 beta) beta))
(*.f64 (neg.f64 beta) beta)
(neg.f64 beta)
#s(literal 1 binary64)

Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 alpha beta) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
beta
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
alpha
#s(literal -2 binary64)
(neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) beta)
beta
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 alpha beta) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 alpha beta)
alpha
beta
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))
(+.f64 alpha beta)
alpha
beta
(*.f64 beta beta)
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)))
(-.f64 beta alpha)
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 alpha alpha (.f64 beta (-.f64 alpha beta))) (/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) #s(literal 1 binary64))
(fma.f64 (fma.f64 alpha alpha (.f64 beta (-.f64 alpha beta))) (/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))
(pow.f64 beta #s(literal 3 binary64))
beta
#s(literal 3 binary64)
(pow.f64 alpha #s(literal 3 binary64))
alpha
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
#s(literal -2 binary64)
(-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))
(pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64))
(*.f64 (+.f64 alpha beta) alpha)
#s(literal 2 binary64)
(pow.f64 beta #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (+.f64 alpha beta) alpha (*.f64 (neg.f64 beta) beta))
(fma.f64 alpha alpha (*.f64 beta (-.f64 alpha beta)))
(*.f64 (neg.f64 beta) beta)
(neg.f64 beta)
#s(literal 1 binary64)

localize154.0ms (2.8%)

Memory

3.0MiB live, 64.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.786198990283517	(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
accuracy	6.695267088264528	(-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))
accuracy	24.912095163350205	(fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) #s(literal 1 binary64))
accuracy	39.79488188526842	(/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64))))
accuracy	0.00390625	(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
accuracy	0.09375	(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
accuracy	22.427483796521322	(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)))
accuracy	24.91175351162657	(fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
accuracy	0	(+.f64 alpha beta)
accuracy	0.00390625	(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
accuracy	0.017910009768442016	(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
accuracy	14.75038252882528	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0	(/.f64 #s(literal 1 binary64) beta)
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
accuracy	16.433105374804537	#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
accuracy	43.01781483187125	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
accuracy	0.00390625	(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
accuracy	0.00390625	(+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
accuracy	0.015625	(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
accuracy	14.7511767377449	(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))

Samples

64.0ms	194×	0	valid
31.0ms	43×	1	valid
20.0ms	19×	2	valid

Compiler

Compiled 941 to 117 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-div: 23.0ms (26.3% of total)

ival-add: 14.0ms (16% of total)

ival-mult: 14.0ms (16% of total)

ival-sub: 10.0ms (11.4% of total)

adjust: 10.0ms (11.4% of total)

ival-pow: 10.0ms (11.4% of total)

ival-pow2: 3.0ms (3.4% of total)

ival-neg: 3.0ms (3.4% of total)

exact: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series47.0ms (0.8%)

Memory

2.0MiB live, 16.7MiB allocated

Counts

27 → 356

Calls

Call 1

Inputs
(+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
(fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))
(+.f64 alpha beta)
(fma.f64 (+.f64 alpha beta) alpha (*.f64 (neg.f64 beta) beta))
(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64))))
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))

Outputs
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
1
(+ 1 (* -1 (/ alpha (+ 2 beta))))
(+ 1 (* alpha (- (/ alpha (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta)))))
(+ 1 (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))))
(/ beta (+ 2 beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(* -1 beta)
(- alpha beta)
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(pow beta 2)
(+ (* alpha beta) (pow beta 2))
(+ (* alpha (+ alpha beta)) (pow beta 2))
beta
(+ alpha beta)
(* -1 (pow beta 2))
(+ (* -1 (pow beta 2)) (* alpha beta))
(+ (* -1 (pow beta 2)) (* alpha (+ alpha beta)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (* (pow beta 3) (pow (+ 2 beta) 2)))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))
(+ 1 (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (* (pow beta 3) (pow (+ 2 beta) 2)))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ -1 (* beta (+ 2 beta)))
(- (/ alpha (* beta (pow (+ 2 beta) 2))) (/ 1 (* beta (+ 2 beta))))
(- (* alpha (+ (* -1 (* alpha (+ (/ 1 (* beta (pow (+ 2 beta) 3))) (/ 1 (* (pow beta 3) (+ 2 beta)))))) (/ 1 (* beta (pow (+ 2 beta) 2))))) (/ 1 (* beta (+ 2 beta))))
(- (* alpha (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (+ (/ 1 (* beta (pow (+ 2 beta) 3))) (/ 1 (* (pow beta 3) (+ 2 beta)))) (+ 2 beta))) (/ 1 (* (pow beta 4) (+ 2 beta)))))) (+ (/ 1 (* beta (pow (+ 2 beta) 3))) (/ 1 (* (pow beta 3) (+ 2 beta)))))) (/ 1 (* beta (pow (+ 2 beta) 2))))) (/ 1 (* beta (+ 2 beta))))
-1
(- (/ alpha (+ 2 beta)) 1)
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(/ alpha (+ 2 beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(+ 2 beta)
(+ 2 (+ alpha beta))
(/ 1 beta)
(+ (* -2 (/ alpha (pow beta 2))) (/ 1 beta))
(+ (* alpha (- (/ alpha (pow beta 3)) (* 2 (/ 1 (pow beta 2))))) (/ 1 beta))
(+ (* alpha (- (* alpha (+ (/ 1 (pow beta 3)) (/ alpha (pow beta 4)))) (* 2 (/ 1 (pow beta 2))))) (/ 1 beta))
(/ 1 (* beta (+ 2 beta)))
(+ (* -1 (* alpha (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (pow (+ 2 beta) 2)))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2)))))))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (pow (+ 2 beta) 2)))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2)))))) (+ (* beta (+ 2 beta)) (pow beta 2))) (* (pow beta 2) (+ 2 beta)))) (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2))))))) (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2)))))))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (pow (+ 2 beta) 2)))))) (/ 1 (* beta (+ 2 beta))))
(* -1 (pow beta 4))
(- (* (pow alpha 2) (pow beta 2)) (pow beta 4))
(- (* (pow alpha 2) (+ (* 2 (* alpha beta)) (pow beta 2))) (pow beta 4))
(- (* (pow alpha 2) (+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))) (pow beta 4))
(/ (pow beta 3) (+ 2 beta))
(+ (* -1 (/ (* alpha (pow beta 3)) (pow (+ 2 beta) 2))) (/ (pow beta 3) (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (pow beta 3)) (pow (+ 2 beta) 3)) (/ (pow beta 3) (pow (+ 2 beta) 2)))) (/ (pow beta 3) (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ (pow beta 3) (pow (+ 2 beta) 4))))) (* -1 (/ (pow beta 3) (pow (+ 2 beta) 3))))) (/ (pow beta 3) (pow (+ 2 beta) 2)))) (/ (pow beta 3) (+ 2 beta)))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ (+ 2 beta) alpha)
(/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
(/ (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) alpha)
(/ (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
(/ beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* -1 alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (/ beta alpha)))
(* (pow alpha 2) (+ 1 (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))
(* alpha (+ 1 (/ beta alpha)))
(* (pow alpha 2) (+ 1 (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (/ beta alpha))))
(* 1/2 (/ (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))) alpha))
(/ (+ (* 1/2 (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))))) alpha))) alpha)
(/ (+ (* 1/2 (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) (+ (* 1/2 (/ (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))))) alpha)) (* 1/2 (/ (- (pow beta 3) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 3) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))))))) (+ (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (pow beta 2) (* (+ 2 beta) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 3))) (+ (* 1/2 (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) (+ (* 1/2 (/ (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))))) alpha)) (* 1/2 (/ (- (pow beta 3) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 2)))))) alpha)
(/ (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))) alpha)
(/ (- (+ (* -1 beta) (/ (pow beta 2) alpha)) (+ (* -1 (+ 2 (+ beta (* 2 beta)))) (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) alpha)) (/ (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) alpha)))) alpha)
(/ (- (+ (* -1 beta) (+ (/ (pow beta 2) alpha) (/ (pow beta 3) (pow alpha 2)))) (+ (* -1 (+ 2 (+ beta (* 2 beta)))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) alpha) (+ (/ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 2)) (/ (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) (pow alpha 2)))))))) alpha)
(/ (- (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 3) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))))))) (+ (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (pow beta 2) (* (+ 2 beta) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 3))) (+ (/ (pow beta 2) alpha) (/ (pow beta 3) (pow alpha 2))))) (+ (* -1 (+ 2 (+ beta (* 2 beta)))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) alpha) (+ (/ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 2)) (/ (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) (pow alpha 2)))))))) alpha)
(/ -1 (pow alpha 2))
(/ (- (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) 1) (pow alpha 2))
(/ (- (* -1 (/ (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (pow (+ 2 (+ beta (* 2 beta))) 2)) (pow alpha 2))) (+ 1 (* -1 (/ (+ 2 (+ beta (* 2 beta))) alpha)))) (pow alpha 2))
(/ (- (/ (pow beta 3) (pow alpha 3)) (+ 1 (+ (* -1 (/ (* (+ 2 (+ beta (* 2 beta))) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (pow (+ 2 (+ beta (* 2 beta))) 2))) (pow alpha 3))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 3))) (+ (* -1 (/ (+ 2 (+ beta (* 2 beta))) alpha)) (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (pow alpha 2))) (+ (/ (* (+ 2 (+ beta (* 2 beta))) (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (pow alpha 3)) (/ (pow (+ 2 (+ beta (* 2 beta))) 2) (pow alpha 2))))))))) (pow alpha 2))
(* -1 (/ (+ 2 beta) alpha))
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(/ -1 alpha)
(/ (- (/ beta alpha) (+ 1 (* -1 (/ beta alpha)))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (pow beta 2)) (* beta (- beta (* -1 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ beta alpha)))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (* beta (+ (* -1 (pow beta 2)) (* beta (- beta (* -1 beta)))))) (* (pow beta 2) (- beta (* -1 beta)))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (/ (* beta (- beta (* -1 beta))) (pow alpha 2)))))) alpha)
(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 (* 2 beta)) alpha)))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* -1 (+ (* beta (+ 2 beta)) (pow beta 2))) (* (+ 2 (* 2 beta)) (- beta (* -1 (+ 2 (* 2 beta)))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 (* 2 beta)) alpha)))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* beta (+ 2 beta)) (pow beta 2))) (* (+ 2 (* 2 beta)) (- beta (* -1 (+ 2 (* 2 beta)))))))) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (* (+ (* beta (+ 2 beta)) (pow beta 2)) (- beta (* -1 (+ 2 (* 2 beta))))))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ (+ 2 (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* beta (+ 2 beta)) (pow beta 2)) (pow alpha 2))) (/ (* (+ 2 (* 2 beta)) (- beta (* -1 (+ 2 (* 2 beta))))) (pow alpha 2)))))) (pow alpha 2))
(pow alpha 4)
(* (pow alpha 4) (+ 1 (* 2 (/ beta alpha))))
(* (pow alpha 4) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(* (pow alpha 4) (+ 1 (+ (* -1 (/ (pow beta 4) (pow alpha 4))) (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2))))))
(* -1 (pow alpha 2))
(* (pow alpha 2) (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ 1 (* -1 (/ (+ 2 beta) alpha)))))
(* (pow alpha 2) (- (/ (pow beta 3) (pow alpha 3)) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3))) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha))
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(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
(* -1 (* alpha (- (/ beta alpha) 1)))
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (pow beta 3)) (+ (* -1 (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))))) (+ (* (+ 2 (* 2 beta)) (+ (* -2 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (* (pow beta 2) (+ 2 beta))))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (pow beta 3)) (+ (* -1 (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))))) (+ (* (+ 2 (* 2 beta)) (+ (* -2 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))))) (* 1/2 (/ (+ (* -1 (* (+ 2 (+ beta (* 2 beta))) (- (* -1 (pow beta 3)) (+ (* -1 (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))))) (+ (* (+ 2 (* 2 beta)) (+ (* -2 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (* (pow beta 2) (+ 2 beta))))))) (+ (* -1 (* (+ (* -2 (* beta (+ 2 beta))) (* -1 (pow beta 2))) (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))))) (* (pow beta 2) (* (+ 2 beta) (+ 2 (* 2 beta)))))) alpha))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (- (* -1 (/ (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))) alpha)) (+ 2 (* 2 beta))) alpha))
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(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ 2 (+ beta (* 2 beta))) (- (* -1 (pow beta 3)) (+ (* -1 (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))))) (+ (* (+ 2 (* 2 beta)) (+ (* -2 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))))) alpha)) (+ (* -1 (/ (* (+ (* -2 (* beta (+ 2 beta))) (* -1 (pow beta 2))) (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta)))))))) alpha)) (+ (* -1 (pow beta 3)) (/ (* (pow beta 2) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)))) (+ (* -1 (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))))) (+ (* (+ 2 (* 2 beta)) (+ (* -2 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (* (pow beta 2) (+ 2 beta))))) alpha)) (pow beta 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))) alpha)) (+ 2 (* 2 beta))) alpha))
(/ (- (* -1 (/ (- (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow beta 2) alpha)) (/ (pow (+ 2 (+ beta (* 2 beta))) 2) alpha))) (+ 2 (+ beta (* 2 beta)))) alpha)) 1) (pow alpha 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow beta 3)) (+ (* (+ 2 (+ beta (* 2 beta))) (+ (* -2 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (+ (* (+ 2 (+ beta (* 2 beta))) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (+ beta (* 2 beta))) 2)))) (* (pow beta 2) (+ 2 beta))))) alpha)) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (+ beta (* 2 beta))) 2)))) alpha)) (+ 2 (+ beta (* 2 beta)))) alpha)) 1) (pow alpha 2))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (/ (+ 1 (* -1 (/ (- beta (* -1 beta)) alpha))) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (+ (* -1 (/ (* beta (- beta (* -1 beta))) alpha)) (/ (pow beta 2) alpha))) (* -1 beta)) alpha))) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (/ (* beta (+ (* -1 (* beta (- beta (* -1 beta)))) (pow beta 2))) alpha) (/ (* (pow beta 2) (- beta (* -1 beta))) alpha)) (+ (* -1 (* beta (- beta (* -1 beta)))) (pow beta 2))) alpha))) (* -1 beta)) alpha))) alpha))
(/ (- (* -1 (/ (- (* -1 beta) (+ 2 (* 2 beta))) alpha)) 1) (pow alpha 2))
(/ (- (* -1 (/ (- (+ (* -1 beta) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (- (* -1 beta) (+ 2 (* 2 beta)))) alpha)) (* -1 (/ (pow beta 2) alpha))))) (+ 2 (* 2 beta))) alpha)) 1) (pow alpha 2))
(/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow beta 2))) (- (* -1 beta) (+ 2 (* 2 beta)))) alpha)) (+ (/ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 (* 2 beta)) (- (* -1 beta) (+ 2 (* 2 beta))))) (* -1 (pow beta 2))))) alpha) (/ (* (pow beta 2) (+ 2 beta)) alpha))) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 (* 2 beta)) (- (* -1 beta) (+ 2 (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ 2 (* 2 beta))) alpha)) 1) (pow alpha 2))
(* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (+ (* -1 (/ (pow beta 4) (pow alpha 2))) (pow beta 2)) alpha))) alpha))))
(* (pow alpha 2) (- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow beta 3)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(- (+ 1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
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(- (+ 1 (* beta (+ (* beta (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ (* alpha beta) (pow (+ 2 alpha) 4)))) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ -1 beta)
(/ (- beta 1) beta)
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(+ alpha (* -1 beta))
(* -1 (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(+ (* alpha beta) (pow alpha 2))
(+ (* beta (+ alpha beta)) (pow alpha 2))
(+ (* beta (+ alpha (* -1 beta))) (pow alpha 2))
(* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(+ (* -1/2 (* beta (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))) (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))))
(+ (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))) (* beta (+ (* -1/2 (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) (* 1/2 (* beta (- (/ 1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4))) (* (pow alpha 4) (+ 2 alpha)))) (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))))))))
(+ (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))) (* beta (+ (* -1/2 (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (+ (/ 1 (* alpha (pow (+ 2 alpha) 2))) (/ 1 (* (pow alpha 2) (+ 2 alpha)))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha)))) (* (pow alpha 4) (+ 2 alpha)))) (/ (* (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (- (/ 1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4))) (* (pow alpha 4) (+ 2 alpha)))) (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 3) (pow (+ 2 alpha) 2))))))) (* (pow alpha 4) (+ 2 alpha))))))) (* 1/2 (- (/ 1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4))) (* (pow alpha 4) (+ 2 alpha)))) (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 3) (pow (+ 2 alpha) 2))))))))))))
(+ 1 (* -1 (/ alpha (+ 2 alpha))))
(+ 1 (+ (* -1 (* beta (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))) (* -1 (/ alpha (+ 2 alpha)))))
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(+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (* beta (- (+ (* beta (- (+ (/ 1 (* alpha (pow (+ 2 alpha) 2))) (/ 1 (* (pow alpha 2) (+ 2 alpha)))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha)))) (* (pow alpha 4) (+ 2 alpha)))) (/ (* (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (- (/ 1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4))) (* (pow alpha 4) (+ 2 alpha)))) (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 3) (pow (+ 2 alpha) 2))))))) (* (pow alpha 4) (+ 2 alpha)))))) (/ 1 (* alpha (+ 2 alpha)))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4))) (* (pow alpha 4) (+ 2 alpha)))) (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 3) (pow (+ 2 alpha) 2))))))) (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))))))
(/ -1 (* alpha (+ 2 alpha)))
(- (/ (* beta (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4))) (* (pow alpha 5) (pow (+ 2 alpha) 2))) (/ 1 (* alpha (+ 2 alpha))))
(- (* beta (- (* -1 (* beta (+ (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 5) (pow (+ 2 alpha) 2)))) (/ (pow (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) 2) (* (pow alpha 9) (pow (+ 2 alpha) 3)))))) (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 5) (pow (+ 2 alpha) 2)))))) (/ 1 (* alpha (+ 2 alpha))))
(- (* beta (- (* beta (- (* beta (- (+ (/ 1 (* (pow alpha 3) (pow (+ 2 alpha) 2))) (/ 1 (* (pow alpha 4) (+ 2 alpha)))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 5) (pow (+ 2 alpha) 2)))) (/ (pow (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) 2) (* (pow alpha 9) (pow (+ 2 alpha) 3)))) (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4))) (* (pow alpha 4) (+ 2 alpha)))) (/ (* (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha)))) (* (pow alpha 9) (pow (+ 2 alpha) 3)))))) (+ (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 5) (pow (+ 2 alpha) 2)))) (/ (pow (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) 2) (* (pow alpha 9) (pow (+ 2 alpha) 3)))))) (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 5) (pow (+ 2 alpha) 2)))))) (/ 1 (* alpha (+ 2 alpha))))
(- (/ alpha (+ 2 alpha)) 1)
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(/ alpha (+ 2 alpha))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+ 2 alpha)
(- (* 2 (/ beta (pow alpha 2))) (/ 1 alpha))
(- (* beta (+ (* -1 (/ beta (pow alpha 3))) (* 2 (/ 1 (pow alpha 2))))) (/ 1 alpha))
(- (* beta (+ (* beta (- (* -1 (/ beta (pow alpha 4))) (/ 1 (pow alpha 3)))) (* 2 (/ 1 (pow alpha 2))))) (/ 1 alpha))
(- (* beta (- (/ 1 (* (pow alpha 2) (+ 2 alpha))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (/ 1 (* alpha (+ 2 alpha))))
(- (* beta (- (+ (* -1 (* beta (+ (* -1 (/ (+ 2 (* 2 alpha)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (- (/ 1 (* (pow alpha 2) (+ 2 alpha))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (* (pow alpha 2) (+ 2 alpha)))))) (/ 1 (* (pow alpha 2) (+ 2 alpha)))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (/ 1 (* alpha (+ 2 alpha))))
(- (* beta (- (+ (* beta (- (* beta (- (/ 1 (* (pow alpha 3) (pow (+ 2 alpha) 2))) (+ (* -1 (/ (* (+ (* -1 (/ (+ 2 (* 2 alpha)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (- (/ 1 (* (pow alpha 2) (+ 2 alpha))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (* (pow alpha 2) (+ 2 alpha)))) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (* (pow alpha 2) (+ 2 alpha)))) (/ (* (+ 2 (* 2 alpha)) (- (/ 1 (* (pow alpha 2) (+ 2 alpha))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (* (pow alpha 2) (+ 2 alpha)))))) (+ (* -1 (/ (+ 2 (* 2 alpha)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (- (/ 1 (* (pow alpha 2) (+ 2 alpha))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (* (pow alpha 2) (+ 2 alpha)))))) (/ 1 (* (pow alpha 2) (+ 2 alpha)))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (/ 1 (* alpha (+ 2 alpha))))
(+ (* 2 (* (pow alpha 3) beta)) (pow alpha 4))
(+ (* beta (+ (* 2 (pow alpha 3)) (* (pow alpha 2) beta))) (pow alpha 4))
(+ (* beta (+ (* 2 (pow alpha 3)) (* beta (+ (* -1 (pow beta 2)) (pow alpha 2))))) (pow alpha 4))
(* -1 (/ (pow alpha 3) (+ 2 alpha)))
(+ (* -1 (/ (pow alpha 3) (+ 2 alpha))) (/ (* (pow alpha 3) beta) (pow (+ 2 alpha) 2)))
(+ (* -1 (/ (pow alpha 3) (+ 2 alpha))) (* beta (- (* -1 (/ (* (pow alpha 3) beta) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ (pow alpha 3) (+ 2 alpha))) (* beta (- (* beta (- (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 4))))) (/ (pow alpha 3) (pow (+ 2 alpha) 3)))) (* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 2))))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(+ 1 (* -1 (/ alpha beta)))
(- (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta))
(- (+ 1 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (/ alpha beta))
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(* beta (- (/ alpha beta) 1))
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(* (pow beta 2) (+ 1 (/ alpha beta)))
(* (pow beta 2) (+ 1 (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))
(* beta (+ 1 (/ alpha beta)))
(* (pow beta 2) (- (/ alpha beta) 1))
(* (pow beta 2) (- (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2))) 1))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (* 1/2 (/ (- (* -1 (pow alpha 3)) (+ (* -1 (* (pow alpha 2) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))))))) (pow beta 3))))))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 2 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 2 (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 3) (pow beta 3))))) (+ (* -1 (/ (* (pow alpha 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (+ (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (pow beta 3))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))))))
(/ -1 (pow beta 2))
(/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) (pow beta 2))
(/ (- (* -1 (/ (+ (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))) (+ 1 (* -1 (/ (+ 2 alpha) beta)))) (pow beta 2))
(/ (- (/ (pow alpha 3) (pow beta 3)) (+ 1 (+ (* -1 (/ (* (+ 2 alpha) (+ (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 3))) (+ (* -1 (/ (* (pow alpha 2) (+ 2 alpha)) (pow beta 3))) (+ (* -1 (/ (+ 2 alpha) beta)) (+ (* 2 (/ (pow alpha 3) (pow beta 3))) (+ (/ (* (pow alpha 2) (+ 2 alpha)) (pow beta 3)) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))) (pow beta 2))
(- (/ alpha beta) 1)
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
(/ alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(/ (- (+ 1 (* -1 (/ alpha beta))) (/ alpha beta)) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* alpha (- (* -1 alpha) alpha)) (pow alpha 2)) (pow beta 2))))) (/ alpha beta)) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* -1 (* alpha (+ (* alpha (- (* -1 alpha) alpha)) (pow alpha 2)))) (* (pow alpha 2) (- (* -1 alpha) alpha))) (pow beta 3))))) (+ (/ alpha beta) (+ (/ (* alpha (- (* -1 alpha) alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))) beta)
(/ 1 (pow beta 2))
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* alpha (+ 2 alpha)) (+ (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (pow alpha 2))) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* alpha (+ 2 alpha)) (+ (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (pow alpha 2))))) (+ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (* (pow alpha 2) (+ 2 alpha)))) (pow beta 3))))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (+ (/ (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))))) (pow beta 2))
(* (pow beta 4) (- (/ (pow alpha 2) (pow beta 2)) 1))
(* (pow beta 4) (- (+ (* 2 (/ (pow alpha 3) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))) 1))
(* (pow beta 4) (- (+ (* 2 (/ (pow alpha 3) (pow beta 3))) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 4) (pow beta 4)))) 1))
(* (pow beta 2) (+ 1 (* -1 (/ (+ 2 alpha) beta))))
(* (pow beta 2) (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* (pow beta 2) (- (+ 1 (* -1 (/ (pow alpha 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))))
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* alpha (+ 2 alpha))) beta)) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* (pow beta 2) (- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (pow alpha 2) beta))) beta)) 1))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (- (* -1 (pow alpha 3)) (+ (* -1 (* (pow alpha 2) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))))))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (- (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (pow alpha 3) beta))) (+ (* -1 (/ (* (pow alpha 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) beta))))) beta))) beta)))
(/ (- (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1 (pow (+ 2 alpha) 2))) beta))) beta)) 1) (pow beta 2))
(/ (- (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (/ (- (+ (* -1 (pow alpha 2)) (+ (* -1 (pow (+ 2 alpha) 2)) (/ (pow alpha 3) beta))) (+ (* -1 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (+ (* 2 (/ (pow alpha 3) beta)) (+ (/ (* (+ 2 alpha) (+ (* -1 (pow alpha 2)) (* -1 (pow (+ 2 alpha) 2)))) beta) (/ (* (pow alpha 2) (+ 2 alpha)) beta))))) beta))) beta)) 1) (pow beta 2))
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (/ (- (/ alpha beta) (+ 1 (* -1 (/ alpha beta)))) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (pow alpha 2)) beta))) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (+ (* -1 (/ (+ (* alpha (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (pow alpha 2))) (* (pow alpha 2) (- alpha (* -1 alpha)))) beta)) (pow alpha 2))) beta))) beta)) 1) beta))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 (* 2 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 (* 2 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (+ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (* -1 (pow alpha 2))))) (* (pow alpha 2) (+ 2 alpha)))) beta)) (* -1 (pow alpha 2))))) beta))) beta))) (pow beta 2))
(* (pow beta 4) (- (+ (* -1 (/ (+ (* -2 (pow alpha 3)) (* -1 (/ (pow alpha 4) beta))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))) 1))
(* (pow beta 2) (+ 1 (* -1 (/ (+ 2 (+ alpha (* -1 (/ (pow (+ 2 alpha) 2) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ 2 (+ alpha (* -1 (/ (- (+ (* -1 (/ (pow alpha 3) beta)) (pow (+ 2 alpha) 2)) (/ (pow (+ 2 alpha) 3) beta)) beta)))) beta))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	alpha	@	0	((+ (/ beta (- (+ alpha beta) -2)) (neg (- (/ alpha (- (+ alpha beta) -2)) 1))) (* 1/2 (+ (/ beta (- (+ alpha beta) -2)) (neg (- (/ alpha (- (+ alpha beta) -2)) 1)))) (neg (- (/ alpha (- (+ alpha beta) -2)) 1)) (/ beta (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (- (+ alpha beta) -2))) 1) (/ (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (- (+ alpha beta) -2))) 1) 2) (+ (* (+ alpha beta) alpha) (* beta beta)) (+ alpha beta) (+ (* (+ alpha beta) alpha) (* (neg beta) beta)) (/ (+ (* (/ (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4))) (+ (* (+ alpha beta) alpha) (* (neg beta) beta))) 1) 2) (+ (* (/ (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4))) (+ (* (+ alpha beta) alpha) (* (neg beta) beta))) 1) (/ (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4))) (- (/ alpha (- (+ alpha beta) -2)) 1) (/ alpha (- (+ alpha beta) -2)) (- (+ alpha beta) -2) (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (/ (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4)) (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)))
7.0ms	beta	@	0	((+ (/ beta (- (+ alpha beta) -2)) (neg (- (/ alpha (- (+ alpha beta) -2)) 1))) (* 1/2 (+ (/ beta (- (+ alpha beta) -2)) (neg (- (/ alpha (- (+ alpha beta) -2)) 1)))) (neg (- (/ alpha (- (+ alpha beta) -2)) 1)) (/ beta (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (- (+ alpha beta) -2))) 1) (/ (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (- (+ alpha beta) -2))) 1) 2) (+ (* (+ alpha beta) alpha) (* beta beta)) (+ alpha beta) (+ (* (+ alpha beta) alpha) (* (neg beta) beta)) (/ (+ (* (/ (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4))) (+ (* (+ alpha beta) alpha) (* (neg beta) beta))) 1) 2) (+ (* (/ (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4))) (+ (* (+ alpha beta) alpha) (* (neg beta) beta))) 1) (/ (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4))) (- (/ alpha (- (+ alpha beta) -2)) 1) (/ alpha (- (+ alpha beta) -2)) (- (+ alpha beta) -2) (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (/ (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4)) (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)))
7.0ms	alpha	@	inf	((+ (/ beta (- (+ alpha beta) -2)) (neg (- (/ alpha (- (+ alpha beta) -2)) 1))) (* 1/2 (+ (/ beta (- (+ alpha beta) -2)) (neg (- (/ alpha (- (+ alpha beta) -2)) 1)))) (neg (- (/ alpha (- (+ alpha beta) -2)) 1)) (/ beta (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (- (+ alpha beta) -2))) 1) (/ (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (- (+ alpha beta) -2))) 1) 2) (+ (* (+ alpha beta) alpha) (* beta beta)) (+ alpha beta) (+ (* (+ alpha beta) alpha) (* (neg beta) beta)) (/ (+ (* (/ (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4))) (+ (* (+ alpha beta) alpha) (* (neg beta) beta))) 1) 2) (+ (* (/ (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4))) (+ (* (+ alpha beta) alpha) (* (neg beta) beta))) 1) (/ (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4))) (- (/ alpha (- (+ alpha beta) -2)) 1) (/ alpha (- (+ alpha beta) -2)) (- (+ alpha beta) -2) (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (/ (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4)) (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)))
6.0ms	alpha	@	-inf	((+ (/ beta (- (+ alpha beta) -2)) (neg (- (/ alpha (- (+ alpha beta) -2)) 1))) (* 1/2 (+ (/ beta (- (+ alpha beta) -2)) (neg (- (/ alpha (- (+ alpha beta) -2)) 1)))) (neg (- (/ alpha (- (+ alpha beta) -2)) 1)) (/ beta (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (- (+ alpha beta) -2))) 1) (/ (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (- (+ alpha beta) -2))) 1) 2) (+ (* (+ alpha beta) alpha) (* beta beta)) (+ alpha beta) (+ (* (+ alpha beta) alpha) (* (neg beta) beta)) (/ (+ (* (/ (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4))) (+ (* (+ alpha beta) alpha) (* (neg beta) beta))) 1) 2) (+ (* (/ (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4))) (+ (* (+ alpha beta) alpha) (* (neg beta) beta))) 1) (/ (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4))) (- (/ alpha (- (+ alpha beta) -2)) 1) (/ alpha (- (+ alpha beta) -2)) (- (+ alpha beta) -2) (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (/ (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4)) (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)))
5.0ms	beta	@	inf	((+ (/ beta (- (+ alpha beta) -2)) (neg (- (/ alpha (- (+ alpha beta) -2)) 1))) (* 1/2 (+ (/ beta (- (+ alpha beta) -2)) (neg (- (/ alpha (- (+ alpha beta) -2)) 1)))) (neg (- (/ alpha (- (+ alpha beta) -2)) 1)) (/ beta (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (- (+ alpha beta) -2))) 1) (/ (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (- (+ alpha beta) -2))) 1) 2) (+ (* (+ alpha beta) alpha) (* beta beta)) (+ alpha beta) (+ (* (+ alpha beta) alpha) (* (neg beta) beta)) (/ (+ (* (/ (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4))) (+ (* (+ alpha beta) alpha) (* (neg beta) beta))) 1) 2) (+ (* (/ (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4))) (+ (* (+ alpha beta) alpha) (* (neg beta) beta))) 1) (/ (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4))) (- (/ alpha (- (+ alpha beta) -2)) 1) (/ alpha (- (+ alpha beta) -2)) (- (+ alpha beta) -2) (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (/ (/ (- beta alpha) (+ (* (+ alpha beta) alpha) (* beta beta))) (- (+ alpha beta) -2)) (- (pow (* (+ alpha beta) alpha) 2) (pow beta 4)) (/ (- (pow beta 3) (pow alpha 3)) (- (+ alpha beta) -2)))

simplify181.0ms (3.2%)

Memory

-0.7MiB live, 65.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1924	12397
1	6428	11971
0	8016	11461

Stop Event

1×	iter limit
1×	node limit

Counts

356 → 354

Calls

Call 1

Inputs
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
1
(+ 1 (* -1 (/ alpha (+ 2 beta))))
(+ 1 (* alpha (- (/ alpha (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta)))))
(+ 1 (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))))
(/ beta (+ 2 beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(* -1 beta)
(- alpha beta)
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(pow beta 2)
(+ (* alpha beta) (pow beta 2))
(+ (* alpha (+ alpha beta)) (pow beta 2))
beta
(+ alpha beta)
(* -1 (pow beta 2))
(+ (* -1 (pow beta 2)) (* alpha beta))
(+ (* -1 (pow beta 2)) (* alpha (+ alpha beta)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (* (pow beta 3) (pow (+ 2 beta) 2)))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))
(+ 1 (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (* (pow beta 3) (pow (+ 2 beta) 2)))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ -1 (* beta (+ 2 beta)))
(- (/ alpha (* beta (pow (+ 2 beta) 2))) (/ 1 (* beta (+ 2 beta))))
(- (* alpha (+ (* -1 (* alpha (+ (/ 1 (* beta (pow (+ 2 beta) 3))) (/ 1 (* (pow beta 3) (+ 2 beta)))))) (/ 1 (* beta (pow (+ 2 beta) 2))))) (/ 1 (* beta (+ 2 beta))))
(- (* alpha (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (+ (/ 1 (* beta (pow (+ 2 beta) 3))) (/ 1 (* (pow beta 3) (+ 2 beta)))) (+ 2 beta))) (/ 1 (* (pow beta 4) (+ 2 beta)))))) (+ (/ 1 (* beta (pow (+ 2 beta) 3))) (/ 1 (* (pow beta 3) (+ 2 beta)))))) (/ 1 (* beta (pow (+ 2 beta) 2))))) (/ 1 (* beta (+ 2 beta))))
-1
(- (/ alpha (+ 2 beta)) 1)
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(/ alpha (+ 2 beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(+ 2 beta)
(+ 2 (+ alpha beta))
(/ 1 beta)
(+ (* -2 (/ alpha (pow beta 2))) (/ 1 beta))
(+ (* alpha (- (/ alpha (pow beta 3)) (* 2 (/ 1 (pow beta 2))))) (/ 1 beta))
(+ (* alpha (- (* alpha (+ (/ 1 (pow beta 3)) (/ alpha (pow beta 4)))) (* 2 (/ 1 (pow beta 2))))) (/ 1 beta))
(/ 1 (* beta (+ 2 beta)))
(+ (* -1 (* alpha (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (pow (+ 2 beta) 2)))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2)))))))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (pow (+ 2 beta) 2)))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2)))))) (+ (* beta (+ 2 beta)) (pow beta 2))) (* (pow beta 2) (+ 2 beta)))) (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2))))))) (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2)))))))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (pow (+ 2 beta) 2)))))) (/ 1 (* beta (+ 2 beta))))
(* -1 (pow beta 4))
(- (* (pow alpha 2) (pow beta 2)) (pow beta 4))
(- (* (pow alpha 2) (+ (* 2 (* alpha beta)) (pow beta 2))) (pow beta 4))
(- (* (pow alpha 2) (+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))) (pow beta 4))
(/ (pow beta 3) (+ 2 beta))
(+ (* -1 (/ (* alpha (pow beta 3)) (pow (+ 2 beta) 2))) (/ (pow beta 3) (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (pow beta 3)) (pow (+ 2 beta) 3)) (/ (pow beta 3) (pow (+ 2 beta) 2)))) (/ (pow beta 3) (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ (pow beta 3) (pow (+ 2 beta) 4))))) (* -1 (/ (pow beta 3) (pow (+ 2 beta) 3))))) (/ (pow beta 3) (pow (+ 2 beta) 2)))) (/ (pow beta 3) (+ 2 beta)))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ (+ 2 beta) alpha)
(/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
(/ (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) alpha)
(/ (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
(/ beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* -1 alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (/ beta alpha)))
(* (pow alpha 2) (+ 1 (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))
(* alpha (+ 1 (/ beta alpha)))
(* (pow alpha 2) (+ 1 (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (/ beta alpha))))
(* 1/2 (/ (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))) alpha))
(/ (+ (* 1/2 (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))))) alpha))) alpha)
(/ (+ (* 1/2 (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) (+ (* 1/2 (/ (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))))) alpha)) (* 1/2 (/ (- (pow beta 3) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 3) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))))))) (+ (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (pow beta 2) (* (+ 2 beta) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 3))) (+ (* 1/2 (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) (+ (* 1/2 (/ (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))))) alpha)) (* 1/2 (/ (- (pow beta 3) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 2)))))) alpha)
(/ (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))) alpha)
(/ (- (+ (* -1 beta) (/ (pow beta 2) alpha)) (+ (* -1 (+ 2 (+ beta (* 2 beta)))) (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) alpha)) (/ (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) alpha)))) alpha)
(/ (- (+ (* -1 beta) (+ (/ (pow beta 2) alpha) (/ (pow beta 3) (pow alpha 2)))) (+ (* -1 (+ 2 (+ beta (* 2 beta)))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) alpha) (+ (/ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 2)) (/ (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) (pow alpha 2)))))))) alpha)
(/ (- (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 3) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))))))) (+ (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (pow beta 2) (* (+ 2 beta) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 3))) (+ (/ (pow beta 2) alpha) (/ (pow beta 3) (pow alpha 2))))) (+ (* -1 (+ 2 (+ beta (* 2 beta)))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) alpha) (+ (/ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 2)) (/ (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) (pow alpha 2)))))))) alpha)
(/ -1 (pow alpha 2))
(/ (- (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) 1) (pow alpha 2))
(/ (- (* -1 (/ (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (pow (+ 2 (+ beta (* 2 beta))) 2)) (pow alpha 2))) (+ 1 (* -1 (/ (+ 2 (+ beta (* 2 beta))) alpha)))) (pow alpha 2))
(/ (- (/ (pow beta 3) (pow alpha 3)) (+ 1 (+ (* -1 (/ (* (+ 2 (+ beta (* 2 beta))) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (pow (+ 2 (+ beta (* 2 beta))) 2))) (pow alpha 3))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 3))) (+ (* -1 (/ (+ 2 (+ beta (* 2 beta))) alpha)) (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (pow alpha 2))) (+ (/ (* (+ 2 (+ beta (* 2 beta))) (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (pow alpha 3)) (/ (pow (+ 2 (+ beta (* 2 beta))) 2) (pow alpha 2))))))))) (pow alpha 2))
(* -1 (/ (+ 2 beta) alpha))
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(/ -1 alpha)
(/ (- (/ beta alpha) (+ 1 (* -1 (/ beta alpha)))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (pow beta 2)) (* beta (- beta (* -1 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ beta alpha)))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (* beta (+ (* -1 (pow beta 2)) (* beta (- beta (* -1 beta)))))) (* (pow beta 2) (- beta (* -1 beta)))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (/ (* beta (- beta (* -1 beta))) (pow alpha 2)))))) alpha)
(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 (* 2 beta)) alpha)))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* -1 (+ (* beta (+ 2 beta)) (pow beta 2))) (* (+ 2 (* 2 beta)) (- beta (* -1 (+ 2 (* 2 beta)))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 (* 2 beta)) alpha)))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* beta (+ 2 beta)) (pow beta 2))) (* (+ 2 (* 2 beta)) (- beta (* -1 (+ 2 (* 2 beta)))))))) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (* (+ (* beta (+ 2 beta)) (pow beta 2)) (- beta (* -1 (+ 2 (* 2 beta))))))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ (+ 2 (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* beta (+ 2 beta)) (pow beta 2)) (pow alpha 2))) (/ (* (+ 2 (* 2 beta)) (- beta (* -1 (+ 2 (* 2 beta))))) (pow alpha 2)))))) (pow alpha 2))
(pow alpha 4)
(* (pow alpha 4) (+ 1 (* 2 (/ beta alpha))))
(* (pow alpha 4) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(* (pow alpha 4) (+ 1 (+ (* -1 (/ (pow beta 4) (pow alpha 4))) (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2))))))
(* -1 (pow alpha 2))
(* (pow alpha 2) (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ 1 (* -1 (/ (+ 2 beta) alpha)))))
(* (pow alpha 2) (- (/ (pow beta 3) (pow alpha 3)) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3))) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha))
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(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
(* -1 (* alpha (- (/ beta alpha) 1)))
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (pow beta 3)) (+ (* -1 (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))))) (+ (* (+ 2 (* 2 beta)) (+ (* -2 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (* (pow beta 2) (+ 2 beta))))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (pow beta 3)) (+ (* -1 (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))))) (+ (* (+ 2 (* 2 beta)) (+ (* -2 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))))) (* 1/2 (/ (+ (* -1 (* (+ 2 (+ beta (* 2 beta))) (- (* -1 (pow beta 3)) (+ (* -1 (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))))) (+ (* (+ 2 (* 2 beta)) (+ (* -2 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (* (pow beta 2) (+ 2 beta))))))) (+ (* -1 (* (+ (* -2 (* beta (+ 2 beta))) (* -1 (pow beta 2))) (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))))) (* (pow beta 2) (* (+ 2 beta) (+ 2 (* 2 beta)))))) alpha))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (- (* -1 (/ (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))) alpha)) (+ 2 (* 2 beta))) alpha))
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(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ 2 (+ beta (* 2 beta))) (- (* -1 (pow beta 3)) (+ (* -1 (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))))) (+ (* (+ 2 (* 2 beta)) (+ (* -2 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))))) alpha)) (+ (* -1 (/ (* (+ (* -2 (* beta (+ 2 beta))) (* -1 (pow beta 2))) (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta)))))))) alpha)) (+ (* -1 (pow beta 3)) (/ (* (pow beta 2) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)))) (+ (* -1 (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))))) (+ (* (+ 2 (* 2 beta)) (+ (* -2 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (* (pow beta 2) (+ 2 beta))))) alpha)) (pow beta 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (* (+ 2 (* 2 beta)) (+ 2 (+ beta (* 2 beta))))))) alpha)) (+ 2 (* 2 beta))) alpha))
(/ (- (* -1 (/ (- (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow beta 2) alpha)) (/ (pow (+ 2 (+ beta (* 2 beta))) 2) alpha))) (+ 2 (+ beta (* 2 beta)))) alpha)) 1) (pow alpha 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow beta 3)) (+ (* (+ 2 (+ beta (* 2 beta))) (+ (* -2 (* beta (+ 2 beta))) (* -1 (pow beta 2)))) (+ (* (+ 2 (+ beta (* 2 beta))) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (+ beta (* 2 beta))) 2)))) (* (pow beta 2) (+ 2 beta))))) alpha)) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow (+ 2 (+ beta (* 2 beta))) 2)))) alpha)) (+ 2 (+ beta (* 2 beta)))) alpha)) 1) (pow alpha 2))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (/ (+ 1 (* -1 (/ (- beta (* -1 beta)) alpha))) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (+ (* -1 (/ (* beta (- beta (* -1 beta))) alpha)) (/ (pow beta 2) alpha))) (* -1 beta)) alpha))) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (/ (* beta (+ (* -1 (* beta (- beta (* -1 beta)))) (pow beta 2))) alpha) (/ (* (pow beta 2) (- beta (* -1 beta))) alpha)) (+ (* -1 (* beta (- beta (* -1 beta)))) (pow beta 2))) alpha))) (* -1 beta)) alpha))) alpha))
(/ (- (* -1 (/ (- (* -1 beta) (+ 2 (* 2 beta))) alpha)) 1) (pow alpha 2))
(/ (- (* -1 (/ (- (+ (* -1 beta) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (- (* -1 beta) (+ 2 (* 2 beta)))) alpha)) (* -1 (/ (pow beta 2) alpha))))) (+ 2 (* 2 beta))) alpha)) 1) (pow alpha 2))
(/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow beta 2))) (- (* -1 beta) (+ 2 (* 2 beta)))) alpha)) (+ (/ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 (* 2 beta)) (- (* -1 beta) (+ 2 (* 2 beta))))) (* -1 (pow beta 2))))) alpha) (/ (* (pow beta 2) (+ 2 beta)) alpha))) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 (* 2 beta)) (- (* -1 beta) (+ 2 (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ 2 (* 2 beta))) alpha)) 1) (pow alpha 2))
(* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (+ (* -1 (/ (pow beta 4) (pow alpha 2))) (pow beta 2)) alpha))) alpha))))
(* (pow alpha 2) (- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow beta 3)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(- (+ 1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
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(- (+ 1 (* beta (+ (* beta (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ (* alpha beta) (pow (+ 2 alpha) 4)))) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ -1 beta)
(/ (- beta 1) beta)
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(+ alpha (* -1 beta))
(* -1 (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(+ (* alpha beta) (pow alpha 2))
(+ (* beta (+ alpha beta)) (pow alpha 2))
(+ (* beta (+ alpha (* -1 beta))) (pow alpha 2))
(* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(+ (* -1/2 (* beta (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))) (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))))
(+ (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))) (* beta (+ (* -1/2 (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) (* 1/2 (* beta (- (/ 1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4))) (* (pow alpha 4) (+ 2 alpha)))) (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))))))))
(+ (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))) (* beta (+ (* -1/2 (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (+ (/ 1 (* alpha (pow (+ 2 alpha) 2))) (/ 1 (* (pow alpha 2) (+ 2 alpha)))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha)))) (* (pow alpha 4) (+ 2 alpha)))) (/ (* (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (- (/ 1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4))) (* (pow alpha 4) (+ 2 alpha)))) (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 3) (pow (+ 2 alpha) 2))))))) (* (pow alpha 4) (+ 2 alpha))))))) (* 1/2 (- (/ 1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4))) (* (pow alpha 4) (+ 2 alpha)))) (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 3) (pow (+ 2 alpha) 2))))))))))))
(+ 1 (* -1 (/ alpha (+ 2 alpha))))
(+ 1 (+ (* -1 (* beta (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))) (* -1 (/ alpha (+ 2 alpha)))))
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(+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (* beta (- (+ (* beta (- (+ (/ 1 (* alpha (pow (+ 2 alpha) 2))) (/ 1 (* (pow alpha 2) (+ 2 alpha)))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha)))) (* (pow alpha 4) (+ 2 alpha)))) (/ (* (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (- (/ 1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4))) (* (pow alpha 4) (+ 2 alpha)))) (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 3) (pow (+ 2 alpha) 2))))))) (* (pow alpha 4) (+ 2 alpha)))))) (/ 1 (* alpha (+ 2 alpha)))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4))) (* (pow alpha 4) (+ 2 alpha)))) (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 3) (pow (+ 2 alpha) 2))))))) (+ (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))))))
(/ -1 (* alpha (+ 2 alpha)))
(- (/ (* beta (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4))) (* (pow alpha 5) (pow (+ 2 alpha) 2))) (/ 1 (* alpha (+ 2 alpha))))
(- (* beta (- (* -1 (* beta (+ (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 5) (pow (+ 2 alpha) 2)))) (/ (pow (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) 2) (* (pow alpha 9) (pow (+ 2 alpha) 3)))))) (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 5) (pow (+ 2 alpha) 2)))))) (/ 1 (* alpha (+ 2 alpha))))
(- (* beta (- (* beta (- (* beta (- (+ (/ 1 (* (pow alpha 3) (pow (+ 2 alpha) 2))) (/ 1 (* (pow alpha 4) (+ 2 alpha)))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 5) (pow (+ 2 alpha) 2)))) (/ (pow (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) 2) (* (pow alpha 9) (pow (+ 2 alpha) 3)))) (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4))) (* (pow alpha 4) (+ 2 alpha)))) (/ (* (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha)))) (* (pow alpha 9) (pow (+ 2 alpha) 3)))))) (+ (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 5) (pow (+ 2 alpha) 2)))) (/ (pow (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) 2) (* (pow alpha 9) (pow (+ 2 alpha) 3)))))) (* -1 (/ (+ (* 2 (* (pow alpha 3) (+ 2 alpha))) (pow alpha 4)) (* (pow alpha 5) (pow (+ 2 alpha) 2)))))) (/ 1 (* alpha (+ 2 alpha))))
(- (/ alpha (+ 2 alpha)) 1)
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(/ alpha (+ 2 alpha))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+ 2 alpha)
(- (* 2 (/ beta (pow alpha 2))) (/ 1 alpha))
(- (* beta (+ (* -1 (/ beta (pow alpha 3))) (* 2 (/ 1 (pow alpha 2))))) (/ 1 alpha))
(- (* beta (+ (* beta (- (* -1 (/ beta (pow alpha 4))) (/ 1 (pow alpha 3)))) (* 2 (/ 1 (pow alpha 2))))) (/ 1 alpha))
(- (* beta (- (/ 1 (* (pow alpha 2) (+ 2 alpha))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (/ 1 (* alpha (+ 2 alpha))))
(- (* beta (- (+ (* -1 (* beta (+ (* -1 (/ (+ 2 (* 2 alpha)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (- (/ 1 (* (pow alpha 2) (+ 2 alpha))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (* (pow alpha 2) (+ 2 alpha)))))) (/ 1 (* (pow alpha 2) (+ 2 alpha)))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (/ 1 (* alpha (+ 2 alpha))))
(- (* beta (- (+ (* beta (- (* beta (- (/ 1 (* (pow alpha 3) (pow (+ 2 alpha) 2))) (+ (* -1 (/ (* (+ (* -1 (/ (+ 2 (* 2 alpha)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (- (/ 1 (* (pow alpha 2) (+ 2 alpha))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (* (pow alpha 2) (+ 2 alpha)))) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (* (pow alpha 2) (+ 2 alpha)))) (/ (* (+ 2 (* 2 alpha)) (- (/ 1 (* (pow alpha 2) (+ 2 alpha))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (* (pow alpha 2) (+ 2 alpha)))))) (+ (* -1 (/ (+ 2 (* 2 alpha)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (- (/ 1 (* (pow alpha 2) (+ 2 alpha))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (* (pow alpha 2) (+ 2 alpha)))))) (/ 1 (* (pow alpha 2) (+ 2 alpha)))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (/ 1 (* alpha (+ 2 alpha))))
(+ (* 2 (* (pow alpha 3) beta)) (pow alpha 4))
(+ (* beta (+ (* 2 (pow alpha 3)) (* (pow alpha 2) beta))) (pow alpha 4))
(+ (* beta (+ (* 2 (pow alpha 3)) (* beta (+ (* -1 (pow beta 2)) (pow alpha 2))))) (pow alpha 4))
(* -1 (/ (pow alpha 3) (+ 2 alpha)))
(+ (* -1 (/ (pow alpha 3) (+ 2 alpha))) (/ (* (pow alpha 3) beta) (pow (+ 2 alpha) 2)))
(+ (* -1 (/ (pow alpha 3) (+ 2 alpha))) (* beta (- (* -1 (/ (* (pow alpha 3) beta) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ (pow alpha 3) (+ 2 alpha))) (* beta (- (* beta (- (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 4))))) (/ (pow alpha 3) (pow (+ 2 alpha) 3)))) (* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 2))))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(+ 1 (* -1 (/ alpha beta)))
(- (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta))
(- (+ 1 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (/ alpha beta))
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(* beta (- (/ alpha beta) 1))
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(* (pow beta 2) (+ 1 (/ alpha beta)))
(* (pow beta 2) (+ 1 (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))
(* beta (+ 1 (/ alpha beta)))
(* (pow beta 2) (- (/ alpha beta) 1))
(* (pow beta 2) (- (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2))) 1))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (* 1/2 (/ (- (* -1 (pow alpha 3)) (+ (* -1 (* (pow alpha 2) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))))))) (pow beta 3))))))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 2 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 2 (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 3) (pow beta 3))))) (+ (* -1 (/ (* (pow alpha 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (+ (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) (pow beta 3))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))))))
(/ -1 (pow beta 2))
(/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) (pow beta 2))
(/ (- (* -1 (/ (+ (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))) (+ 1 (* -1 (/ (+ 2 alpha) beta)))) (pow beta 2))
(/ (- (/ (pow alpha 3) (pow beta 3)) (+ 1 (+ (* -1 (/ (* (+ 2 alpha) (+ (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 3))) (+ (* -1 (/ (* (pow alpha 2) (+ 2 alpha)) (pow beta 3))) (+ (* -1 (/ (+ 2 alpha) beta)) (+ (* 2 (/ (pow alpha 3) (pow beta 3))) (+ (/ (* (pow alpha 2) (+ 2 alpha)) (pow beta 3)) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))) (pow beta 2))
(- (/ alpha beta) 1)
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
(/ alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(/ (- (+ 1 (* -1 (/ alpha beta))) (/ alpha beta)) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* alpha (- (* -1 alpha) alpha)) (pow alpha 2)) (pow beta 2))))) (/ alpha beta)) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* -1 (* alpha (+ (* alpha (- (* -1 alpha) alpha)) (pow alpha 2)))) (* (pow alpha 2) (- (* -1 alpha) alpha))) (pow beta 3))))) (+ (/ alpha beta) (+ (/ (* alpha (- (* -1 alpha) alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))) beta)
(/ 1 (pow beta 2))
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* alpha (+ 2 alpha)) (+ (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (pow alpha 2))) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* alpha (+ 2 alpha)) (+ (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (pow alpha 2))))) (+ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (* (pow alpha 2) (+ 2 alpha)))) (pow beta 3))))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (+ (/ (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))))) (pow beta 2))
(* (pow beta 4) (- (/ (pow alpha 2) (pow beta 2)) 1))
(* (pow beta 4) (- (+ (* 2 (/ (pow alpha 3) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))) 1))
(* (pow beta 4) (- (+ (* 2 (/ (pow alpha 3) (pow beta 3))) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 4) (pow beta 4)))) 1))
(* (pow beta 2) (+ 1 (* -1 (/ (+ 2 alpha) beta))))
(* (pow beta 2) (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* (pow beta 2) (- (+ 1 (* -1 (/ (pow alpha 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))))
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* alpha (+ 2 alpha))) beta)) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* (pow beta 2) (- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (pow alpha 2) beta))) beta)) 1))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (- (* -1 (pow alpha 3)) (+ (* -1 (* (pow alpha 2) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))))))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (- (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (pow alpha 3) beta))) (+ (* -1 (/ (* (pow alpha 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1 (/ (+ (* 2 (pow alpha 3)) (* (pow alpha 2) (+ 2 alpha))) beta))))) beta))) beta)))
(/ (- (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1 (pow (+ 2 alpha) 2))) beta))) beta)) 1) (pow beta 2))
(/ (- (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (/ (- (+ (* -1 (pow alpha 2)) (+ (* -1 (pow (+ 2 alpha) 2)) (/ (pow alpha 3) beta))) (+ (* -1 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (+ (* 2 (/ (pow alpha 3) beta)) (+ (/ (* (+ 2 alpha) (+ (* -1 (pow alpha 2)) (* -1 (pow (+ 2 alpha) 2)))) beta) (/ (* (pow alpha 2) (+ 2 alpha)) beta))))) beta))) beta)) 1) (pow beta 2))
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (/ (- (/ alpha beta) (+ 1 (* -1 (/ alpha beta)))) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (pow alpha 2)) beta))) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (+ (* -1 (/ (+ (* alpha (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (pow alpha 2))) (* (pow alpha 2) (- alpha (* -1 alpha)))) beta)) (pow alpha 2))) beta))) beta)) 1) beta))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 (* 2 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 (* 2 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (+ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (* -1 (pow alpha 2))))) (* (pow alpha 2) (+ 2 alpha)))) beta)) (* -1 (pow alpha 2))))) beta))) beta))) (pow beta 2))
(* (pow beta 4) (- (+ (* -1 (/ (+ (* -2 (pow alpha 3)) (* -1 (/ (pow alpha 4) beta))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))) 1))
(* (pow beta 2) (+ 1 (* -1 (/ (+ 2 (+ alpha (* -1 (/ (pow (+ 2 alpha) 2) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ 2 (+ alpha (* -1 (/ (- (+ (* -1 (/ (pow alpha 3) beta)) (pow (+ 2 alpha) 2)) (/ (pow (+ 2 alpha) 3) beta)) beta)))) beta))))

Outputs
(+ 1 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ alpha (+ 2 beta))))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)))
(+ 1 (* alpha (- (/ alpha (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta)))))
(fma.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha #s(literal 1 binary64))
(+ 1 (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))))
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha #s(literal 1 binary64))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(fma.f64 (-.f64 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
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(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(fma.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(fma.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) alpha))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(fma.f64 (neg.f64 alpha) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(fma.f64 (fma.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (neg.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(* -1 beta)
(neg.f64 beta)
(- alpha beta)
(-.f64 alpha beta)
(* -1 (+ 2 beta))
(-.f64 #s(literal -2 binary64) beta)
(- (* -1 alpha) (+ 2 beta))
(fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) beta))
(pow beta 2)
(*.f64 beta beta)
(+ (* alpha beta) (pow beta 2))
(*.f64 (+.f64 alpha beta) beta)
(+ (* alpha (+ alpha beta)) (pow beta 2))
(fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))
beta
(+ alpha beta)
(+.f64 alpha beta)
(* -1 (pow beta 2))
(neg.f64 (*.f64 beta beta))
(+ (* -1 (pow beta 2)) (* alpha beta))
(fma.f64 alpha beta (neg.f64 (*.f64 beta beta)))
(+ (* -1 (pow beta 2)) (* alpha (+ alpha beta)))
(fma.f64 (+.f64 alpha beta) alpha (neg.f64 (*.f64 beta beta)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))
(fma.f64 (fma.f64 (.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (* (pow beta 3) (pow (+ 2 beta) 2)))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) alpha) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) beta) #s(literal 2 binary64) (.f64 beta beta)) (.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) alpha (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ 1 (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (-.f64 (*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (* (pow beta 3) (pow (+ 2 beta) 2)))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) beta) #s(literal 2 binary64) (.f64 beta beta)) (.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)))) alpha (neg.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64))
(/ -1 (* beta (+ 2 beta)))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta))
(- (/ alpha (* beta (pow (+ 2 beta) 2))) (/ 1 (* beta (+ 2 beta))))
(-.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) beta)))
(- (* alpha (+ (* -1 (* alpha (+ (/ 1 (* beta (pow (+ 2 beta) 3))) (/ 1 (* (pow beta 3) (+ 2 beta)))))) (/ 1 (* beta (pow (+ 2 beta) 2))))) (/ 1 (* beta (+ 2 beta))))
(fma.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta))) alpha (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta))))
(- (* alpha (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (+ (/ 1 (* beta (pow (+ 2 beta) 3))) (/ 1 (* (pow beta 3) (+ 2 beta)))) (+ 2 beta))) (/ 1 (* (pow beta 4) (+ 2 beta)))))) (+ (/ 1 (* beta (pow (+ 2 beta) 3))) (/ 1 (* (pow beta 3) (+ 2 beta)))))) (/ 1 (* beta (pow (+ 2 beta) 2))))) (/ 1 (* beta (+ 2 beta))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta))) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta))))) alpha (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta))) alpha (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) beta))))
-1
#s(literal -1 binary64)
(- (/ alpha (+ 2 beta)) 1)
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha #s(literal -1 binary64))
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(fma.f64 (fma.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha #s(literal -1 binary64))
(/ alpha (+ 2 beta))
(/.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha)
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(*.f64 (fma.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(.f64 (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(+ (* -2 (/ alpha (pow beta 2))) (/ 1 beta))
(fma.f64 (/.f64 alpha (*.f64 beta beta)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) beta))
(+ (* alpha (- (/ alpha (pow beta 3)) (* 2 (/ 1 (pow beta 2))))) (/ 1 beta))
(fma.f64 (-.f64 (/.f64 alpha (pow.f64 beta #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) alpha (/.f64 #s(literal 1 binary64) beta))
(+ (* alpha (- (* alpha (+ (/ 1 (pow beta 3)) (/ alpha (pow beta 4)))) (* 2 (/ 1 (pow beta 2))))) (/ 1 beta))
(fma.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 beta #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 3 binary64)))) alpha (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)))) alpha (/.f64 #s(literal 1 binary64) beta))
(/ 1 (* beta (+ 2 beta)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta))
(+ (* -1 (* alpha (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (pow (+ 2 beta) 2)))))) (/ 1 (* beta (+ 2 beta))))
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alpha
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 3) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))))))) (+ (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (pow beta 2) (* (+ 2 beta) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 3))) (+ (* 1/2 (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) (+ (* 1/2 (/ (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))))) alpha)) (* 1/2 (/ (- (pow beta 3) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 2)))))) alpha)
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(/ (- (+ (* -1 beta) (/ (pow beta 2) alpha)) (+ (* -1 (+ 2 (+ beta (* 2 beta)))) (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) alpha)) (/ (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) alpha)))) alpha)
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(/ (- (+ (* -1 beta) (+ (/ (pow beta 2) alpha) (/ (pow beta 3) (pow alpha 2)))) (+ (* -1 (+ 2 (+ beta (* 2 beta)))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) alpha) (+ (/ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 2)) (/ (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) (pow alpha 2)))))))) alpha)
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(/ (- (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 3) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (+ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))))))) (+ (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (* (pow beta 2) (* (+ 2 beta) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 3))) (+ (/ (pow beta 2) alpha) (/ (pow beta 3) (pow alpha 2))))) (+ (* -1 (+ 2 (+ beta (* 2 beta)))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) alpha) (+ (/ (* (+ 2 (+ beta (* 2 beta))) (- (pow beta 2) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (* (+ 2 (+ beta (* 2 beta))) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta))))))))) (pow alpha 2)) (/ (* (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (- (* -1 beta) (* -1 (+ 2 (+ beta (* 2 beta)))))) (pow alpha 2)))))))) alpha)
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(/ -1 (pow alpha 2))
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(/ (- (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) 1) (pow alpha 2))
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(/ (- (* -1 (/ (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (pow (+ 2 (+ beta (* 2 beta))) 2)) (pow alpha 2))) (+ 1 (* -1 (/ (+ 2 (+ beta (* 2 beta))) alpha)))) (pow alpha 2))
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(/ (- (/ (pow beta 3) (pow alpha 3)) (+ 1 (+ (* -1 (/ (* (+ 2 (+ beta (* 2 beta))) (+ (* -1 (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (pow (+ 2 (+ beta (* 2 beta))) 2))) (pow alpha 3))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 3))) (+ (* -1 (/ (+ 2 (+ beta (* 2 beta))) alpha)) (+ (* -1 (/ (+ (* 2 (* beta (+ 2 beta))) (pow beta 2)) (pow alpha 2))) (+ (/ (* (+ 2 (+ beta (* 2 beta))) (+ (* 2 (* beta (+ 2 beta))) (pow beta 2))) (pow alpha 3)) (/ (pow (+ 2 (+ beta (* 2 beta))) 2) (pow alpha 2))))))))) (pow alpha 2))
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(* -1 (/ (+ 2 beta) alpha))
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(+ 1 (* -1 (/ (+ 2 beta) alpha)))
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(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
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(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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(/ (- (+ (* -1 (/ (+ (* -1 (pow beta 2)) (* beta (- beta (* -1 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ beta alpha)))) alpha)
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(/ (- (+ (* -1 (/ (+ (* -1 (* beta (+ (* -1 (pow beta 2)) (* beta (- beta (* -1 beta)))))) (* (pow beta 2) (- beta (* -1 beta)))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (/ (* beta (- beta (* -1 beta))) (pow alpha 2)))))) alpha)
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(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 (* 2 beta)) alpha)))) (pow alpha 2))
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))) (*.f64 alpha alpha))
(/ (- (+ (* -1 (/ (+ (* -1 (+ (* beta (+ 2 beta)) (pow beta 2))) (* (+ 2 (* 2 beta)) (- beta (* -1 (+ 2 (* 2 beta)))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 (* 2 beta)) alpha)))) (pow alpha 2))
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(neg.f64 (/.f64 (fma.f64 alpha (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (neg.f64 alpha)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(neg.f64 (/.f64 (-.f64 (neg.f64 alpha) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha) beta) (.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(neg.f64 (/.f64 (-.f64 (neg.f64 alpha) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) (.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta)) (.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) beta)) beta))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)))
(* -1 (/ (- (/ alpha beta) (+ 1 (* -1 (/ alpha beta)))) beta))
(neg.f64 (/.f64 (-.f64 (/.f64 alpha beta) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (pow alpha 2)) beta))) beta)) 1) beta))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 alpha) (-.f64 alpha (neg.f64 alpha)) (*.f64 alpha alpha)) beta)) (-.f64 alpha (neg.f64 alpha))) beta) #s(literal -1 binary64) #s(literal -1 binary64)) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (+ (* -1 (/ (+ (* alpha (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (pow alpha 2))) (* (pow alpha 2) (- alpha (* -1 alpha)))) beta)) (pow alpha 2))) beta))) beta)) 1) beta))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (-.f64 alpha (neg.f64 alpha))) (/.f64 (fma.f64 (neg.f64 alpha) (-.f64 alpha (neg.f64 alpha)) (-.f64 (.f64 alpha alpha) (/.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (-.f64 alpha (neg.f64 alpha)) (.f64 alpha alpha)) alpha (.f64 (-.f64 alpha (neg.f64 alpha)) (.f64 alpha alpha))) beta))) beta)) beta) #s(literal -1 binary64) #s(literal -1 binary64)) beta))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 (* 2 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha) (-.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (-.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))))) beta)) beta)) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 (* 2 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (+ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (* -1 (pow alpha 2))))) (* (pow alpha 2) (+ 2 alpha)))) beta)) (* -1 (pow alpha 2))))) beta))) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha) (-.f64 (-.f64 (neg.f64 (.f64 alpha alpha)) (/.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha) (-.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (-.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 alpha alpha))) (.f64 (.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (.f64 alpha alpha))) (-.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))))) beta)) (.f64 (-.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))))) beta)) beta)) (.f64 beta beta))
(* (pow beta 4) (- (+ (* -1 (/ (+ (* -2 (pow alpha 3)) (* -1 (/ (pow alpha 4) beta))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))) 1))
(*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal -2 binary64) (neg.f64 (/.f64 (pow.f64 alpha #s(literal 4 binary64)) beta))) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 alpha beta) (/.f64 alpha beta) #s(literal -1 binary64))) (pow.f64 beta #s(literal 4 binary64)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ 2 (+ alpha (* -1 (/ (pow (+ 2 alpha) 2) beta)))) beta))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)) #s(literal 2 binary64)) beta)) (.f64 beta beta))
(* (pow beta 2) (+ 1 (* -1 (/ (+ 2 (+ alpha (* -1 (/ (- (+ (* -1 (/ (pow alpha 3) beta)) (pow (+ 2 alpha) 2)) (/ (pow (+ 2 alpha) 3) beta)) beta)))) beta))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) beta)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta)) beta)) beta)) (.f64 beta beta))

rewrite174.0ms (3.1%)

Memory

-5.2MiB live, 73.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	392
0	94	330
1	489	290
2	4666	290
0	9028	290

Stop Event

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

Counts

27 → 950

Calls

Call 1

Inputs
(+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
(fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))
(+.f64 alpha beta)
(fma.f64 (+.f64 alpha beta) alpha (*.f64 (neg.f64 beta) beta))
(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64))))
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))

Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (neg.f64 beta) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 (neg.f64 beta) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))
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(fma.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (fma.f64 #s(literal -2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(fma.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(fma.f64 (pow.f64 beta #s(literal 3/2 binary64)) (/.f64 (pow.f64 beta #s(literal 3/2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(fma.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(fma.f64 (*.f64 beta beta) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(fma.f64 beta (/.f64 (*.f64 beta beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(-.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))

eval196.0ms (3.5%)

Memory: 11.2MiB live, 144.6MiB allocated
Compiler: Compiled 62 704 to 6 979 computations (88.9% saved)

prune42.0ms (0.8%)

Memory

-2.0MiB live, 67.9MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	1 475	9	1 484
Fresh	2	9	11
Picked	3	2	5
Done	1	3	4
Total	1 481	23	1 504

Accuracy

99.9%

Counts

1 504 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.9%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	76.4%	(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	77.0%	(fma.f64 (-.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	76.7%	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
	77.6%	(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
	32.7%	(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ ( alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	31.5%	(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	39.5%	(/.f64 (fma.f64 #s(approx (- (pow beta 3) (pow alpha 3)) (neg.f64 (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	76.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta) #s(literal -1 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))))) #s(literal 2 binary64))
	52.2%	(.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
	77.6%	(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
	51.5%	(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (-.f64 (exp.f64 (.f64 (log.f64 (+.f64 alpha beta)) #s(literal 1 binary64))) #s(literal -2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
	74.4%	#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	24.0%	#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64) (/.f64 (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta))) alpha)) (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (.f64 alpha alpha))))) alpha))
✓	35.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	27.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	23.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
	26.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)))))
✓	3.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
✓	33.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
✓	39.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	48.2%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
	24.5%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (neg.f64 (/.f64 (-.f64 (.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64))) alpha)) alpha)) alpha)))

Compiler

Compiled 2 161 to 770 computations (64.4% saved)

regimes56.0ms (1%)

Memory

-4.4MiB live, 26.6MiB allocated

Counts

45 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ ( alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(approx (- (pow beta 3) (pow alpha 3)) (neg.f64 (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) alpha)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (-.f64 (exp.f64 (.f64 (log.f64 (+.f64 alpha beta)) #s(literal 1 binary64))) #s(literal -2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (neg.f64 (/.f64 (-.f64 (.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64))) alpha)) alpha)) alpha)))
(fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(approx (- (/ alpha (- (+ alpha beta) -2)) 1) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) alpha)) alpha)) alpha)) alpha))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) alpha)) alpha)) alpha)) (neg.f64 alpha)))) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
(/.f64 (/.f64 (-.f64 (.f64 beta (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64) (/.f64 (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta))) alpha)) (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (.f64 alpha alpha))))) alpha))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta) #s(literal -1 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))))) #s(literal 2 binary64))

Outputs

#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))

(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))

Calls

5 calls:

12.0ms	beta
11.0ms	alpha
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
10.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
10.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
92.3%	2	`alpha`
77.6%	1	`beta`
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes15.0ms (0.3%)

Memory

-0.6MiB live, 8.4MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))

Outputs

#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))

(fma.f64 (-.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Calls

3 calls:

5.0ms

(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

4.0ms

(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

4.0ms

(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes14.0ms (0.3%)

Memory

0.3MiB live, 8.2MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))

Outputs

#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))

(fma.f64 (-.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Calls

3 calls:

5.0ms

(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

4.0ms

(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

4.0ms

(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes13.0ms (0.2%)

Memory

-0.3MiB live, 7.6MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Outputs

#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))

(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Calls

3 calls:

4.0ms

(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

4.0ms

(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

4.0ms

(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.5%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes12.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs

#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))

(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Calls

3 calls:

4.0ms

(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

4.0ms

(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

4.0ms

(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.5%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes11.0ms (0.2%)

Memory

-1.2MiB live, 6.7MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))

Outputs

#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))

(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))

Calls

3 calls:

4.0ms

(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

3.0ms

(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

3.0ms

(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.5%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes11.0ms (0.2%)

Memory

-7.0MiB live, 6.5MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))

Outputs

#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))

#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Calls

3 calls:

4.0ms

(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

3.0ms

(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

3.0ms

(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
97.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes6.0ms (0.1%)

Memory

-3.2MiB live, 4.7MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

Outputs

#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))

#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))

Calls

3 calls:

2.0ms

(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

2.0ms

(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

2.0ms

(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
96.8%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
96.8%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.8%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes10.0ms (0.2%)

Memory

-0.1MiB live, 7.8MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))

Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Calls

5 calls:

2.0ms	beta
2.0ms	alpha
2.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
53.3%	2	`beta`
56.3%	2	`alpha`
62.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
62.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
62.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes8.0ms (0.1%)

Memory

-0.5MiB live, 7.4MiB allocated

Accuracy

Total -23.9b remaining (-61.8%)

Threshold costs -23.9b (-61.8%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (neg.f64 alpha) beta)))

#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))

Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Calls

5 calls:

2.0ms	beta
2.0ms	alpha
2.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
39.6%	1	`beta`
39.6%	1	`alpha`
39.6%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
39.6%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
39.6%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999386317977	-0.9999802069845756

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999386317977	-0.9999802069845756

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999998175611	-0.9999999386317977

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999998175611	-0.9999999386317977

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999998175611	-0.9999999386317977

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999998175611	-0.9999999386317977

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.7611663639002821	-0.00028178998787017705

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0021609138360624215	0.9828356162211435
0.0ms	-0.9999802069845756	-0.9996818905006775

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.7611663639002821	-0.00028178998787017705

Compiler

Compiled 16 to 16 computations (0% saved)

simplify49.0ms (0.9%)

Memory

4.4MiB live, 20.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	519
1	118	519
2	155	519
3	204	519
4	267	519
5	387	519
6	483	519
7	640	519
8	815	519
9	987	519
10	1115	519
11	1180	519
12	1204	519
13	1206	519

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (-.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007198804381029/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007198804381029/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007198804381029/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007198804381029/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -2251349453722511/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (-.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (-.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007198804381029/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007198804381029/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007198804381029/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007198804381029/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007198804381029/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007198804381029/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007198804381029/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007198804381029/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -2251349453722511/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -2251349453722511/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

soundness934.0ms (16.8%)

Memory

-1.6MiB live, 14.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	16	44
1	91	44
2	748	44
0	9057	43
0	1049	6098
1	3419	5819
0	8431	5555
0	40	305
0	69	275
1	376	275
2	3500	275
0	9087	275
0	433	2206
1	1394	2067
2	4569	1878
0	8651	1750
0	56	392
0	94	330
1	489	290
2	4666	290
0	9028	290
0	1924	12397
1	6428	11971
0	8016	11461
0	50	378
0	83	354
1	423	303
2	3576	303
0	8985	298

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 861 to 320 computations (62.8% saved)

preprocess56.0ms (1%)

Memory: -0.3MiB live, 38.2MiB allocated
Compiler: Compiled 1 064 to 206 computations (80.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample896.0ms (16.1%)

explain101.0ms (1.8%)

preprocess328.0ms (5.9%)

eval0.0ms (0%)

prune6.0ms (0.1%)

simplify96.0ms (1.7%)

localize33.0ms (0.6%)

series11.0ms (0.2%)

simplify145.0ms (2.6%)

rewrite130.0ms (2.3%)

eval73.0ms (1.3%)

prune17.0ms (0.3%)

simplify118.0ms (2.1%)

localize120.0ms (2.2%)

series34.0ms (0.6%)

simplify155.0ms (2.8%)

rewrite176.0ms (3.2%)

eval153.0ms (2.7%)

prune31.0ms (0.5%)

simplify125.0ms (2.2%)

localize145.0ms (2.6%)

series49.0ms (0.9%)

simplify165.0ms (3%)

rewrite179.0ms (3.2%)

eval154.0ms (2.8%)

prune30.0ms (0.5%)

simplify107.0ms (1.9%)

localize154.0ms (2.8%)

series47.0ms (0.8%)

simplify181.0ms (3.2%)

rewrite174.0ms (3.1%)

eval196.0ms (3.5%)

prune42.0ms (0.8%)

regimes56.0ms (1%)

regimes15.0ms (0.3%)

regimes14.0ms (0.3%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes10.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify49.0ms (0.9%)

soundness934.0ms (16.8%)

preprocess56.0ms (1%)

end0.0ms (0%)

Profiling