Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze5.0ms (0.1%)

Memory

-34.4MiB live, 3.2MiB 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)

sample1.6s (17.4%)

Memory

-70.0MiB live, 1 829.3MiB allocated

Samples

698.0ms	6 076×	0	valid
255.0ms	698×	2	valid
232.0ms	1 482×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 802.0ms

ival-add: 383.0ms (47.8% of total)

ival-div: 161.0ms (20.1% of total)

adjust: 96.0ms (12% of total)

ival-sub: 75.0ms (9.4% of total)

ival->: 58.0ms (7.2% of total)

exact: 15.0ms (1.9% of total)

ival-and: 11.0ms (1.4% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain318.0ms (3.5%)

Memory

2.8MiB live, 356.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
81	-	71	(4.6456586626874453e+49 3.8050874776784633e-81)	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	-	0	-	`beta`
0	-	0	-	`(+.f64 alpha beta)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	-	0	-	`alpha`
0	-	0	-	`(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
0	-	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	10	0

Confusion

	Predicted +	Predicted -
+	10	71
-	0	175

Precision

1.0

Recall

0.12345679012345678

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	71
-	0	0	175

Precision?

1.0

Recall?

0.12345679012345678

Freqs

test

number	freq
0	246
1	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms	358×	0	valid
14.0ms	62×	2	valid
14.0ms	92×	1	valid

Compiler

Compiled 209 to 67 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-add: 19.0ms (47.9% of total)

ival-div: 10.0ms (25.2% of total)

adjust: 6.0ms (15.1% of total)

ival-sub: 4.0ms (10.1% of total)

ival-true: 1.0ms (2.5% of total)

exact: 1.0ms (2.5% of total)

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

preprocess334.0ms (3.6%)

Memory

10.9MiB live, 84.3MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.6%	(/.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)

simplify132.0ms (1.4%)

Memory

-24.4MiB live, 36.1MiB 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)

localize65.0ms (0.7%)

Memory

-16.3MiB live, 57.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0	(+.f64 alpha beta)
accuracy	0.02734375	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	18.18829128500654	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

12.0ms	179×	0	valid
11.0ms	46×	1	valid
7.0ms	31×	2	valid

Compiler

Compiled 98 to 22 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 5.0ms (32.4% of total)

ival-add: 5.0ms (32.4% of total)

adjust: 3.0ms (19.4% of total)

ival-sub: 2.0ms (13% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB 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 alpha beta)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))

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))
(+ alpha beta)
(+ 2 beta)
(+ 2 (+ 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 (/ beta alpha)))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ 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 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 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 (/ alpha beta)))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ 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 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 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) (+ (+ alpha beta) 2))
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) (+ (+ alpha beta) 2))
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) (+ (+ alpha beta) 2))
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) (+ (+ alpha beta) 2))
2.0ms	beta	@	inf	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2))

simplify210.0ms (2.3%)

Memory

6.0MiB live, 198.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2206
1	1394	2067
2	4570	1878
0	8653	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))
(+ alpha beta)
(+ 2 beta)
(+ 2 (+ 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 (/ beta alpha)))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ 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 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 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 (/ alpha beta)))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ 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 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 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)
(+ alpha beta)
(+.f64 alpha beta)
(+ 2 beta)
(-.f64 beta #s(literal -2 binary64))
(+ 2 (+ alpha beta))
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(* 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 (/ beta alpha)))
(fma.f64 (/.f64 beta alpha) alpha alpha)
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.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 (/ beta alpha)) 1)))
(fma.f64 (/.f64 beta alpha) alpha alpha)
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) 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 (/ alpha beta)))
(fma.f64 (/.f64 alpha beta) beta beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.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 (/ alpha beta)) 1)))
(fma.f64 (/.f64 (neg.f64 alpha) beta) (neg.f64 beta) beta)
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (neg.f64 beta) beta)

rewrite214.0ms (2.3%)

Memory

-3.0MiB live, 203.3MiB 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 alpha beta)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))

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

eval98.0ms (1.1%)

Memory: -13.0MiB live, 142.2MiB allocated
Compiler: Compiled 16 169 to 2 376 computations (85.3% saved)

prune30.0ms (0.3%)

Memory

19.2MiB live, 56.9MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	519	18	537
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	520	18	538

Accuracy

99.9%

Counts

538 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.6%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	58.3%	(/.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))
	48.9%	(/.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))
	33.3%	(/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	53.0%	(/.f64 (fma.f64 (/.f64 (-.f64 beta 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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	58.3%	(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	71.6%	(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
▶	72.5%	(/.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))
	71.6%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	47.1%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))))
	71.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))
	68.9%	#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)))
	29.0%	#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)))
	31.8%	#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))
	31.8%	#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))
	32.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	47.8%	#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)))
▶	34.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 1 012 to 598 computations (40.9% saved)

simplify151.0ms (1.6%)

Memory

-8.9MiB live, 150.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
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 2 binary64) #s(literal -2 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(+.f64 alpha beta)
cost-diff	0	(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
cost-diff	512	(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	1600	(fma.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #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	#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: 4 (0.0ms)

Iter	Nodes	Cost
0	36	331
0	62	302
1	127	302
2	270	300
3	781	300
4	2406	296
5	6213	296
0	8427	296

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

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

localize173.0ms (1.9%)

Memory

0.6MiB live, 316.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)))
accuracy	0.21226503907376806	(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64))
accuracy	15.026381984103994	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))
accuracy	33.14213252154852	(-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	0	(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
accuracy	0.0078125	(*.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	0.5428520680758521	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy	26.18705609105954	(fma.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
accuracy	0	(+.f64 alpha beta)
accuracy	0.02734375	(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
accuracy	18.17823984272699	(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	41.76040223667613	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0.0078125	(-.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	0.015625	(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	0.0234375	(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	18.187544230091287	(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))

Samples

64.0ms	91×	1	valid
41.0ms	49×	2	valid
33.0ms	116×	0	valid

Compiler

Compiled 668 to 76 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-div: 37.0ms (34.3% of total)

ival-add: 19.0ms (17.6% of total)

ival-mult: 17.0ms (15.8% of total)

adjust: 15.0ms (13.9% of total)

ival-sub: 12.0ms (11.1% of total)

ival-pow: 7.0ms (6.5% of total)

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

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

exact: 0.0ms (0% of total)

series189.0ms (2.1%)

Memory

-3.6MiB live, 199.5MiB allocated

Counts

22 → 344

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

Calls

6 calls:

Time	Variable		Point	Expression
65.0ms	beta	@	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 beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) 2) (* (+ alpha beta) (- beta alpha)) (+ alpha beta) (/ 1 (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1))) (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta)))) (* (+ alpha beta) (+ 2 (+ alpha beta))) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2))
28.0ms	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 beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) 2) (* (+ alpha beta) (- beta alpha)) (+ alpha beta) (/ 1 (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1))) (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta)))) (* (+ alpha beta) (+ 2 (+ alpha beta))) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2))
15.0ms	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 beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) 2) (* (+ alpha beta) (- beta alpha)) (+ alpha beta) (/ 1 (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1))) (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta)))) (* (+ alpha beta) (+ 2 (+ alpha beta))) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2))
13.0ms	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 beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) 2) (* (+ alpha beta) (- beta alpha)) (+ alpha beta) (/ 1 (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1))) (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta)))) (* (+ alpha beta) (+ 2 (+ alpha beta))) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2))
12.0ms	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 beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) 2) (* (+ alpha beta) (- beta alpha)) (+ alpha beta) (/ 1 (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1))) (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta)))) (* (+ alpha beta) (+ 2 (+ alpha beta))) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2))

simplify310.0ms (3.4%)

Memory

-4.0MiB live, 313.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2153	23487
1	7131	23487
0	8407	21976

Stop Event

1×	iter limit
1×	node limit

Counts

344 → 342

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

rewrite260.0ms (2.8%)

Memory

20.7MiB live, 261.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	270
0	62	240
1	332	238
2	3189	238
0	9169	238

Stop Event

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

Counts

22 → 1 085

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

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

eval386.0ms (4.2%)

Memory: 25.1MiB live, 394.6MiB allocated
Compiler: Compiled 82 331 to 8 320 computations (89.9% saved)

prune81.0ms (0.9%)

Memory

-16.9MiB live, 112.8MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1 850	15	1 865
Fresh	9	4	13
Picked	4	1	5
Done	0	0	0
Total	1 863	20	1 883

Accuracy

100.0%

Counts

1 883 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.4%	(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	53.0%	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.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)) #s(literal 1/2 binary64))
▶	71.1%	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
	48.9%	(/.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))
	58.4%	(/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	32.1%	(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	72.1%	(/.f64 (/.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 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) #s(literal 2 binary64))
	71.2%	(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) alpha #s(literal -1 binary64))) #s(literal 2 binary64))
	32.5%	(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha))) #s(literal 2 binary64))
	46.1%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (pow.f64 (-.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) #s(literal -1 binary64))))
	47.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))))
	71.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))))
▶	86.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))) #s(literal -2 binary64) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64))))) alpha)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))))))
	68.9%	#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)))
	31.8%	#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))
	31.8%	#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))
▶	32.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
✓	34.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	47.8%	#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)))
	29.4%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (neg.f64 (/.f64 (fma.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (neg.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha)) #s(literal 1/2 binary64) (.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) (neg.f64 beta))))) alpha))) alpha))) alpha)))

Compiler

Compiled 1 255 to 708 computations (43.6% saved)

simplify213.0ms (2.3%)

Memory

12.7MiB live, 180.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 alpha beta)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))
cost-diff	0	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.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)) #s(literal 1/2 binary64))
cost-diff	0	(+.f64 alpha beta)
cost-diff	0	(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
cost-diff	0	(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	320	(fma.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
cost-diff	0	(-.f64 alpha beta)
cost-diff	0	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
cost-diff	320	(fma.f64 (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))) #s(literal -2 binary64) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64)))))
cost-diff	384	(fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))
cost-diff	1472	(/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))
cost-diff	6464	(fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	960
0	129	938
1	261	926
2	698	841
3	2863	714
0	8168	662

Stop Event

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

Calls

Call 1

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

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

localize369.0ms (4%)

Memory

-18.7MiB live, 490.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))
accuracy	0.025722509768442016	(pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))
accuracy	6.937093775000628	(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))
accuracy	26.158948145200448	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.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)) #s(literal 1/2 binary64))
accuracy	0.0078125	(*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)
accuracy	0.5428520680758521	(/.f64 #s(literal 1 binary64) #s(approx (* (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)))
accuracy	26.18705609105954	(fma.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #s(literal 1 binary64))
accuracy	30.320292764715546	#s(approx (* (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))
accuracy	0	(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
accuracy	0	(+.f64 alpha beta)
accuracy	0.01953125	(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
accuracy	18.465497035411847	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
accuracy	0	(+.f64 #s(literal 1 binary64) beta)
accuracy	0.0234375	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
accuracy	43.19580154872777	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
accuracy	0.23680067030919322	(/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))
accuracy	0.24219574912687444	(/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))
accuracy	8.293249220313726	(/.f64 (-.f64 (.f64 beta beta) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64)))
accuracy	8.574148568226999	(fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))

Samples

165.0ms	91×	1	valid
79.0ms	49×	2	valid
57.0ms	116×	0	valid

Compiler

Compiled 1 798 to 151 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-mult: 44.0ms (22.1% of total)

ival-add: 42.0ms (21.1% of total)

ival-div: 38.0ms (19.1% of total)

adjust: 29.0ms (14.6% of total)

ival-sub: 18.0ms (9% of total)

ival-pow: 16.0ms (8% of total)

ival-pow2: 7.0ms (3.5% of total)

ival-neg: 4.0ms (2% of total)

exact: 1.0ms (0.5% of total)

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

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

series79.0ms (0.9%)

Memory

21.1MiB live, 113.6MiB allocated

Counts

24 → 277

Calls

Call 1

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

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) alpha)
(+ 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 beta)
(- alpha beta)
(/ -1/2 (+ 2 beta))
(- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(+ 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)
(+ (* alpha (+ beta (* -1 beta))) (pow beta 2))
(+ (* alpha (+ beta (+ (* -1 alpha) (* -1 beta)))) (pow beta 2))
beta
(+ alpha beta)
(+ 1/2 (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3)))))
(+ 1/2 (+ (* -1/2 (* alpha (- (+ (* -1 (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (+ (* 4 (/ 1 (+ 8 (pow beta 3)))) (/ (* beta (- beta 2)) (+ 8 (pow beta 3))))) (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))))) (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3))))))
(+ 1/2 (+ (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3)))) (* alpha (+ (* -1/2 (* alpha (- (+ (* -1 (/ beta (+ 8 (pow beta 3)))) (* 2 (/ beta (+ 8 (pow beta 3))))) (+ (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow beta 3)))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (+ (* 4 (/ 1 (+ 8 (pow beta 3)))) (/ (* beta (- beta 2)) (+ 8 (pow beta 3))))) (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3)))))))) (* -1/2 (- (+ (* -1 (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (+ (* 4 (/ 1 (+ 8 (pow beta 3)))) (/ (* beta (- beta 2)) (+ 8 (pow beta 3))))) (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3)))) (* alpha (+ (* -1/2 (- (+ (* -1 (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (+ (* 4 (/ 1 (+ 8 (pow beta 3)))) (/ (* beta (- beta 2)) (+ 8 (pow beta 3))))) (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (+ 8 (pow beta 3))) (+ (* -1 (/ (* beta (+ 4 (* beta (- beta 2)))) (pow (+ 8 (pow beta 3)) 2))) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (+ (* 4 (/ 1 (+ 8 (pow beta 3)))) (/ (* beta (- beta 2)) (+ 8 (pow beta 3))))) (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ beta (+ 8 (pow beta 3)))) (* 2 (/ beta (+ 8 (pow beta 3))))) (+ (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow beta 3)))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (+ (* 4 (/ 1 (+ 8 (pow beta 3)))) (/ (* beta (- beta 2)) (+ 8 (pow beta 3))))) (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3))))))) (+ 8 (pow beta 3)))))))) (* -1/2 (- (+ (* -1 (/ beta (+ 8 (pow beta 3)))) (* 2 (/ beta (+ 8 (pow beta 3))))) (+ (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow beta 3)))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (+ (* 4 (/ 1 (+ 8 (pow beta 3)))) (/ (* beta (- beta 2)) (+ 8 (pow beta 3))))) (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3)))))))))))))
(* 1/2 (/ beta (+ 8 (pow beta 3))))
(+ (* -1/2 (* alpha (- (/ 1 (+ 8 (pow beta 3))) (* -1 (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))))) (* 1/2 (/ beta (+ 8 (pow beta 3)))))
(+ (* 1/2 (/ beta (+ 8 (pow beta 3)))) (* alpha (+ (* -1/2 (- (/ 1 (+ 8 (pow beta 3))) (* -1 (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (* 1/2 (* alpha (+ (* -1 (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (/ 1 (+ 8 (pow beta 3))) (* -1 (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3)))))))))
(+ (* 1/2 (/ beta (+ 8 (pow beta 3)))) (* alpha (+ (* -1/2 (- (/ 1 (+ 8 (pow beta 3))) (* -1 (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (* alpha (+ (* 1/2 (* alpha (+ (* -1 (/ beta (pow (+ 8 (pow beta 3)) 2))) (+ (* -1 (/ (* (+ (* -1 (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (/ 1 (+ 8 (pow beta 3))) (* -1 (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3)))) (+ (* 2 (pow beta 2)) (pow beta 2))) (+ 8 (pow beta 3)))) (/ (* (+ beta (* 2 beta)) (- (/ 1 (+ 8 (pow beta 3))) (* -1 (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3))))))) (* 1/2 (+ (* -1 (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (/ 1 (+ 8 (pow beta 3))) (* -1 (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3))))))))))
(* -1/2 beta)
(+ (* -1/2 beta) (* 1/2 alpha))
(* beta (+ 2 beta))
(+ (* alpha (+ 2 (* 2 beta))) (* beta (+ 2 beta)))
(+ (* alpha (+ 2 (+ alpha (* 2 beta)))) (* beta (+ 2 beta)))
(/ 1 (* beta (+ 2 beta)))
(+ (* -1 (* alpha (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (* beta (+ 2 beta)))) (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (* beta (+ 2 beta)))) (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))) (* beta (+ 2 beta)))) (* -1 (/ (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))) (* beta (+ 2 beta))))))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (* beta (+ 2 beta)))) (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))))) (/ 1 (* beta (+ 2 beta))))
(* 2 alpha)
(* alpha (+ 2 alpha))
(pow beta 3)
(+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3))
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3))
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3))
(* 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)
(* -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)
alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(/ -1/2 alpha)
(/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha)
(/ (- (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha)))) alpha)
(/ (- (* 1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 beta) alpha)) (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) alpha)
(* -1 alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(/ (+ 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 (pow alpha 2))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) 1))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) 1))
(* alpha (+ 1 (/ beta alpha)))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* -1/2 (/ (- (+ 4 (+ (* -1 (* beta (- (* 2 beta) 2))) (* beta (- beta 2)))) (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ 2 beta))) (pow beta 2)))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* (+ beta (* 2 beta)) (- (+ 4 (+ (* -1 (* beta (- (* 2 beta) 2))) (* beta (- beta 2)))) (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ 2 beta))) (pow beta 2))))) (+ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (* -1 beta) (+ 2 beta))) (pow beta 3))))) (pow alpha 2))) (* -1/2 (/ (- (+ 4 (+ (* -1 (* beta (- (* 2 beta) 2))) (* beta (- beta 2)))) (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ 2 beta))) (pow beta 2)))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* (+ beta (* 2 beta)) (- (+ 4 (+ (* -1 (* beta (- (* 2 beta) 2))) (* beta (- beta 2)))) (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ 2 beta))) (pow beta 2))))) (+ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (* -1 beta) (+ 2 beta))) (pow beta 3))))) (pow alpha 2))) (+ (* -1/2 (/ (- (+ 4 (+ (* -1 (* beta (- (* 2 beta) 2))) (* beta (- beta 2)))) (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ 2 beta))) (pow beta 2)))) alpha)) (* 1/2 (/ (+ (* (+ 8 (pow beta 3)) (- (* -1 beta) (+ 2 beta))) (+ (* (+ beta (* 2 beta)) (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* (+ beta (* 2 beta)) (- (+ 4 (+ (* -1 (* beta (- (* 2 beta) 2))) (* beta (- beta 2)))) (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ 2 beta))) (pow beta 2))))) (+ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (* -1 beta) (+ 2 beta))) (pow beta 3)))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ 4 (+ (* -1 (* beta (- (* 2 beta) 2))) (* beta (- beta 2)))) (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ 2 beta))) (pow beta 2))))))) (pow alpha 3)))))) alpha)
(/ -1/2 (pow alpha 2))
(/ (- (* -1/2 (/ (- (* -1 beta) (+ beta (* 2 beta))) alpha)) 1/2) (pow alpha 2))
(/ (- (+ (* -1/2 (/ (- (* -1 beta) (+ beta (* 2 beta))) alpha)) (* 1/2 (/ (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta)))) (pow beta 2))) (pow alpha 2)))) 1/2) (pow alpha 2))
(/ (- (+ (* -1/2 (/ (- (* -1 beta) (+ beta (* 2 beta))) alpha)) (+ (* 1/2 (/ (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta)))) (pow beta 2))))) (+ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (* -1 beta) (+ beta (* 2 beta)))) (pow beta 3)))) (pow alpha 3))) (* 1/2 (/ (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta)))) (pow beta 2))) (pow alpha 2))))) 1/2) (pow alpha 2))
(* 1/2 alpha)
(* alpha (+ 1/2 (* -1/2 (/ beta alpha))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ (* beta (+ 2 beta)) (pow alpha 2))))))
(/ 1 (pow alpha 2))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 beta)) alpha))) (pow alpha 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 2 beta))) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))) (pow alpha 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* beta (* (+ 2 beta) (+ 2 (* 2 beta))))) (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 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 alpha 2))
(* (pow alpha 2) (+ 1 (* 2 (/ 1 alpha))))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (/ beta alpha))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3))))))))
(* -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))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -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))
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 3) alpha)) (* -1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ 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))
(* (pow alpha 2) (- (* -1 (/ (+ beta (* -1 beta)) alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (+ beta (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha)))) alpha)) 1))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1/2 (/ (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha)) (* 1/2 (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha)) (* 1/2 (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (pow beta 3)))))) (* 1/2 (/ (+ (* -1 (* (+ 8 (pow beta 3)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (pow beta 3))))))) (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))))) alpha))) alpha)) (* 1/2 (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) alpha))
(/ (- (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ beta (* 2 beta)))) (* 1/2 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2)))) alpha))) alpha)) 1/2) (pow alpha 2))
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) (* 1/2 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 beta) (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) (pow beta 3)))) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ beta (* 2 beta))))) alpha)) 1/2) (pow alpha 2))
(* -1 (* alpha (- (* 1/2 (/ beta alpha)) 1/2)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (+ 2 beta))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (+ (* -1 (+ 2 beta)) (* -1 (/ (* beta (+ 2 beta)) alpha)))) alpha))))
(/ (+ 1 (+ (* -1 (/ beta alpha)) (* -1 (/ (+ 2 beta) alpha)))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2) alpha)) (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 beta) (* -1 (+ 2 beta)))) alpha))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* beta (* (+ 2 beta) (+ (* -1 beta) (* -1 (+ 2 beta))))) alpha)) (* -1 (/ (* (+ (* -1 beta) (* -1 (+ 2 beta))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta)))) alpha))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta)))) alpha)) (+ (* -1 beta) (* -1 (+ 2 beta)))) alpha))) (pow alpha 2))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (pow beta 3) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1)))
-12
(- (* -20 beta) 12)
(- (* beta (- (* -7 beta) 20)) 12)
1/2
4
(+ 4 (* 4 beta))
2
(+ 2 (* -1 beta))
(+ 2 (* beta (- beta 1)))
(+ 2 (* beta (- (* beta (+ 1 (* -1 beta))) 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)
(+ (/ 1 alpha) (/ beta alpha))
1
(+ 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)))))))))))
(+ alpha (* -1 beta))
(/ -1/2 (+ 2 alpha))
(- (* 1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha))))
(- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(- (* beta (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(* -1 (+ 2 alpha))
(- (* -1 beta) (+ 2 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 (pow alpha 2)) (* beta (+ alpha (* -1 alpha))))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (+ beta (* -1 alpha)))))
(+ 1/2 (* -1/2 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (+ 8 (pow alpha 3)))))
(+ 1/2 (+ (* -1/2 (* beta (- (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) (+ 8 (pow alpha 3)))) (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (* -1/2 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (+ 8 (pow alpha 3))))))
(+ 1/2 (+ (* -1/2 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (+ 8 (pow alpha 3)))) (* beta (+ (* -1/2 (* beta (- (+ (* -1 (/ (- (* 2 alpha) 2) (+ 8 (pow alpha 3)))) (/ alpha (+ 8 (pow alpha 3)))) (+ (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2)) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) (+ 8 (pow alpha 3)))) (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))) (+ 8 (pow alpha 3))))))) (* -1/2 (- (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) (+ 8 (pow alpha 3)))) (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))))))
(+ 1/2 (+ (* -1/2 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (+ 8 (pow alpha 3)))) (* beta (+ (* -1/2 (- (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) (+ 8 (pow alpha 3)))) (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))) (* beta (+ (* -1/2 (- (+ (* -1 (/ (- (* 2 alpha) 2) (+ 8 (pow alpha 3)))) (/ alpha (+ 8 (pow alpha 3)))) (+ (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2)) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) (+ 8 (pow alpha 3)))) (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))) (+ 8 (pow alpha 3)))))) (* 1/2 (* beta (+ (/ 1 (+ 8 (pow alpha 3))) (+ (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)) (+ (/ (* (+ alpha (* 2 alpha)) (- (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) (+ 8 (pow alpha 3)))) (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))) (+ 8 (pow alpha 3))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (- (* 2 alpha) 2) (+ 8 (pow alpha 3)))) (/ alpha (+ 8 (pow alpha 3)))) (+ (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2)) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) (+ 8 (pow alpha 3)))) (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))) (+ 8 (pow alpha 3)))))) (+ 8 (pow alpha 3))))))))))))))
(* -1/2 (/ alpha (+ 8 (pow alpha 3))))
(+ (* -1/2 (/ alpha (+ 8 (pow alpha 3)))) (* 1/2 (* beta (+ (/ 1 (+ 8 (pow alpha 3))) (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))))
(+ (* -1/2 (/ alpha (+ 8 (pow alpha 3)))) (* beta (+ (* 1/2 (* beta (+ (* -1 (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (/ 1 (+ 8 (pow alpha 3))) (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))) (+ 8 (pow alpha 3)))) (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))))) (* 1/2 (+ (/ 1 (+ 8 (pow alpha 3))) (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))))))
(+ (* -1/2 (/ alpha (+ 8 (pow alpha 3)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 8 (pow alpha 3))) (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))) (* beta (+ (* 1/2 (* beta (+ (* -1 (/ (* (+ alpha (* 2 alpha)) (+ (/ 1 (+ 8 (pow alpha 3))) (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))) (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (/ 1 (+ 8 (pow alpha 3))) (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))) (+ 8 (pow alpha 3)))) (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ 8 (pow alpha 3)))) (/ alpha (pow (+ 8 (pow alpha 3)) 2)))))) (* 1/2 (+ (* -1 (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (/ 1 (+ 8 (pow alpha 3))) (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))) (+ 8 (pow alpha 3)))) (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2)))))))))
3/4
(+ 3/4 (* -1/4 beta))
(+ 3/4 (* beta (- (* 1/4 beta) 1/4)))
(+ 3/4 (* beta (- (* beta (+ 1/4 (* -1/4 beta))) 1/4)))
(+ 1 (* -1 beta))
(+ 1 (* beta (- beta 1)))
(+ 1 (* beta (- (* beta (+ 1 (* -1 beta))) 1)))
(+ (* alpha (+ 2 alpha)) (* beta (+ 2 (* 2 alpha))))
(+ (* alpha (+ 2 alpha)) (* beta (+ 2 (+ beta (* 2 alpha)))))
(/ 1 (* alpha (+ 2 alpha)))
(+ (* -1 (* beta (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))))) (/ 1 (* alpha (+ 2 alpha))))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (* alpha (+ 2 alpha)))) (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))))) (/ 1 (* alpha (+ 2 alpha))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (* alpha (+ 2 alpha)))) (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* alpha (+ 2 alpha)))) (* -1 (/ (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* alpha (+ 2 alpha))))))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (* alpha (+ 2 alpha)))) (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))))) (/ 1 (* alpha (+ 2 alpha))))
(+ (* beta (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow alpha 3))
(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (* 2 alpha))) (pow alpha 2)))) (pow alpha 3))
(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (+ beta (* 2 alpha)))) (pow alpha 2)))) (pow alpha 3))
(* -7 (pow beta 2))
(* -1 (* (pow beta 2) (+ 7 (* 20 (/ 1 beta)))))
(* (pow beta 2) (- (* -1 (/ (+ 20 (* 12 (/ 1 beta))) beta)) 7))
(* 4 beta)
(* beta (+ 4 (* 4 (/ 1 beta))))
(+ 1 (/ 1 beta))
(- (+ 1 (/ 1 beta)) (/ 1 (pow beta 2)))
(- (+ 1 (+ (/ 1 beta) (/ 1 (pow beta 3)))) (/ 1 (pow beta 2)))
(+ 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))))))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ 1 (/ 1 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))))))
(* beta (- (/ alpha beta) 1))
(/ -1/2 beta)
(/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta)
(/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta)))) beta)
(/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) beta)
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(+ 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))))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))))
(* beta (+ 1 (/ alpha beta)))
(+ 1 (* -1/2 (/ (- (+ alpha (* -1 (- (* 2 alpha) 2))) (* -1 (+ alpha (* 2 alpha)))) beta)))
(+ 1 (+ (* -1/2 (/ (- (+ alpha (* -1 (- (* 2 alpha) 2))) (* -1 (+ alpha (* 2 alpha)))) beta)) (* -1/2 (/ (- (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* alpha (- (* 2 alpha) 2))) (+ (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (* (+ alpha (* 2 alpha)) (- (+ alpha (* -1 (- (* 2 alpha) 2))) (* -1 (+ alpha (* 2 alpha))))))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (- (* alpha (+ 4 (* alpha (- alpha 2)))) (+ (* -1 (+ 8 (pow alpha 3))) (+ (* (+ alpha (* 2 alpha)) (- (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* alpha (- (* 2 alpha) 2))) (+ (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (* (+ alpha (* 2 alpha)) (- (+ alpha (* -1 (- (* 2 alpha) 2))) (* -1 (+ alpha (* 2 alpha)))))))) (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ alpha (* -1 (- (* 2 alpha) 2))) (* -1 (+ alpha (* 2 alpha)))))))) (pow beta 3))) (+ (* -1/2 (/ (- (+ alpha (* -1 (- (* 2 alpha) 2))) (* -1 (+ alpha (* 2 alpha)))) beta)) (* -1/2 (/ (- (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* alpha (- (* 2 alpha) 2))) (+ (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (* (+ alpha (* 2 alpha)) (- (+ alpha (* -1 (- (* 2 alpha) 2))) (* -1 (+ alpha (* 2 alpha))))))) (pow beta 2))))))
(/ 1/2 (pow beta 2))
(/ (+ 1/2 (* -1/2 (/ (- alpha (* -1 (+ alpha (* 2 alpha)))) beta))) (pow beta 2))
(/ (+ 1/2 (+ (* -1/2 (/ (- alpha (* -1 (+ alpha (* 2 alpha)))) beta)) (* 1/2 (/ (+ (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (* (+ alpha (* 2 alpha)) (- alpha (* -1 (+ alpha (* 2 alpha)))))) (pow beta 2))))) (pow beta 2))
(/ (+ 1/2 (+ (* -1/2 (/ (- alpha (* -1 (+ alpha (* 2 alpha)))) beta)) (+ (* 1/2 (/ (+ (* -1 (* (+ alpha (* 2 alpha)) (+ (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (* (+ alpha (* 2 alpha)) (- alpha (* -1 (+ alpha (* 2 alpha)))))))) (+ (* -1 (+ 8 (pow alpha 3))) (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- alpha (* -1 (+ alpha (* 2 alpha))))))) (pow beta 3))) (* 1/2 (/ (+ (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (* (+ alpha (* 2 alpha)) (- alpha (* -1 (+ alpha (* 2 alpha)))))) (pow beta 2)))))) (pow beta 2))
(* beta (- (* 1/2 (/ alpha beta)) 1/2))
(+ 1/2 (* 1/4 (/ 1 beta)))
(- (+ 1/2 (* 1/4 (/ 1 beta))) (/ 1/4 (pow beta 2)))
(- (+ 1/2 (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 (pow beta 3))))) (/ 1/4 (pow beta 2)))
(/ 1 beta)
(/ (- 1 (/ 1 beta)) beta)
(/ (- (+ 1 (/ 1 (pow beta 2))) (/ 1 beta)) beta)
(/ (- (+ 1 (/ 1 (pow beta 2))) (+ (/ 1 beta) (/ 1 (pow beta 3)))) beta)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2))))))
(/ 1 (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 alpha)) beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (* alpha (+ 2 alpha))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* alpha (* (+ 2 alpha) (+ 2 (* 2 alpha))))) (* -1 (* (+ 2 (* 2 alpha)) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (* alpha (+ 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 beta 2))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3))))))))
(+ 1 (* -1 (/ (- (/ 1 beta) 1) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 beta) 1) beta)) 1) 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)))
(+ 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 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) beta)) (* -1/2 (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 3) beta)) (* -1/2 (pow (+ 2 alpha) 2))) beta)) (* -1/2 (+ 2 alpha))) beta))) beta))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ 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)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(+ 1 (* 1/2 (/ (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha)))) (* 1/2 (/ (- (* -1 (+ 4 (+ (* alpha (+ (* -1 alpha) (* -1 (- alpha 2)))) (* alpha (- alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (+ 4 (+ (* alpha (+ (* -1 alpha) (* -1 (- alpha 2)))) (* alpha (- alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) (* 1/2 (/ (- (* -1 (* alpha (+ 4 (* alpha (- alpha 2))))) (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 4 (+ (* alpha (+ (* -1 alpha) (* -1 (- alpha 2)))) (* alpha (- alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))))) (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) (pow alpha 3))))) beta))) beta)) (* -1/2 (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) beta)))
(/ (+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ alpha (* 2 alpha))) beta))) (pow beta 2))
(/ (+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1/2 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* (+ alpha (* 2 alpha)) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) (pow alpha 3)))) beta)) (* 1/2 (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) beta)) (* -1/2 (- (* -1 alpha) (+ alpha (* 2 alpha))))) beta))) (pow beta 2))
(* -1 (* beta (+ 1/2 (* -1/2 (/ alpha beta)))))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/4) beta)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/4) beta)) 1/4) beta)))
(* -1 (/ (- (/ 1 beta) 1) beta))
(* -1 (/ (- (* -1 (/ (- (/ 1 beta) 1) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 beta) 1) beta)) 1) beta)) 1) beta))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (/ (* alpha (+ 2 alpha)) beta)))) beta))))
(/ (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 2 alpha) beta)))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2) beta)) (/ (* alpha (+ 2 alpha)) beta)) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (* (+ 2 alpha) (+ (* -1 alpha) (* -1 (+ 2 alpha))))) beta)) (* -1 (/ (* (+ (* -1 alpha) (* -1 (+ 2 alpha))) (+ (* -1 (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) (* alpha (+ 2 alpha)))) beta))) (+ (* -1 (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) (* alpha (+ 2 alpha)))) beta)) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) beta))) (pow beta 2))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (* 2 alpha)) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (pow alpha 3) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	beta	@	-inf	((+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2)) (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ alpha beta)))) 1/2) (- alpha beta) (/ 1/2 (- -2 (+ alpha beta))) (- -2 (+ alpha beta)) (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) 2) (* (+ alpha beta) (- beta alpha)) (+ alpha beta) (+ (* (/ (* 1/2 (- alpha beta)) (- -8 (pow (+ alpha beta) 3))) (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4)) 1/2) (/ (* 1/2 (- alpha beta)) (- -8 (pow (+ alpha beta) 3))) (* 1/2 (- alpha beta)) (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* (+ alpha beta) (+ 2 (+ alpha beta))) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta)))) (* (+ 2 alpha) alpha) (pow (+ alpha beta) 3))
13.0ms	alpha	@	-inf	((+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2)) (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ alpha beta)))) 1/2) (- alpha beta) (/ 1/2 (- -2 (+ alpha beta))) (- -2 (+ alpha beta)) (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) 2) (* (+ alpha beta) (- beta alpha)) (+ alpha beta) (+ (* (/ (* 1/2 (- alpha beta)) (- -8 (pow (+ alpha beta) 3))) (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4)) 1/2) (/ (* 1/2 (- alpha beta)) (- -8 (pow (+ alpha beta) 3))) (* 1/2 (- alpha beta)) (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* (+ alpha beta) (+ 2 (+ alpha beta))) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta)))) (* (+ 2 alpha) alpha) (pow (+ alpha beta) 3))
11.0ms	alpha	@	0	((+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2)) (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ alpha beta)))) 1/2) (- alpha beta) (/ 1/2 (- -2 (+ alpha beta))) (- -2 (+ alpha beta)) (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) 2) (* (+ alpha beta) (- beta alpha)) (+ alpha beta) (+ (* (/ (* 1/2 (- alpha beta)) (- -8 (pow (+ alpha beta) 3))) (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4)) 1/2) (/ (* 1/2 (- alpha beta)) (- -8 (pow (+ alpha beta) 3))) (* 1/2 (- alpha beta)) (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* (+ alpha beta) (+ 2 (+ alpha beta))) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta)))) (* (+ 2 alpha) alpha) (pow (+ alpha beta) 3))
7.0ms	beta	@	0	((+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2)) (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ alpha beta)))) 1/2) (- alpha beta) (/ 1/2 (- -2 (+ alpha beta))) (- -2 (+ alpha beta)) (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) 2) (* (+ alpha beta) (- beta alpha)) (+ alpha beta) (+ (* (/ (* 1/2 (- alpha beta)) (- -8 (pow (+ alpha beta) 3))) (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4)) 1/2) (/ (* 1/2 (- alpha beta)) (- -8 (pow (+ alpha beta) 3))) (* 1/2 (- alpha beta)) (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* (+ alpha beta) (+ 2 (+ alpha beta))) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta)))) (* (+ 2 alpha) alpha) (pow (+ alpha beta) 3))
5.0ms	beta	@	inf	((+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2)) (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ alpha beta)))) 1/2) (- alpha beta) (/ 1/2 (- -2 (+ alpha beta))) (- -2 (+ alpha beta)) (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) 2) (* (+ alpha beta) (- beta alpha)) (+ alpha beta) (+ (* (/ (* 1/2 (- alpha beta)) (- -8 (pow (+ alpha beta) 3))) (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4)) 1/2) (/ (* 1/2 (- alpha beta)) (- -8 (pow (+ alpha beta) 3))) (* 1/2 (- alpha beta)) (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))) (* (+ alpha beta) (+ 2 (+ alpha beta))) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta)))) (* (+ 2 alpha) alpha) (pow (+ alpha beta) 3))

simplify192.0ms (2.1%)

Memory

22.4MiB live, 285.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1593	9362
1	5346	8850
0	8308	8384

Stop Event

1×	iter limit
1×	node limit

Counts

277 → 275

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) alpha)
(+ 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 beta)
(- alpha beta)
(/ -1/2 (+ 2 beta))
(- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(+ 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)
(+ (* alpha (+ beta (* -1 beta))) (pow beta 2))
(+ (* alpha (+ beta (+ (* -1 alpha) (* -1 beta)))) (pow beta 2))
beta
(+ alpha beta)
(+ 1/2 (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3)))))
(+ 1/2 (+ (* -1/2 (* alpha (- (+ (* -1 (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (+ (* 4 (/ 1 (+ 8 (pow beta 3)))) (/ (* beta (- beta 2)) (+ 8 (pow beta 3))))) (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))))) (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3))))))
(+ 1/2 (+ (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3)))) (* alpha (+ (* -1/2 (* alpha (- (+ (* -1 (/ beta (+ 8 (pow beta 3)))) (* 2 (/ beta (+ 8 (pow beta 3))))) (+ (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow beta 3)))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (+ (* 4 (/ 1 (+ 8 (pow beta 3)))) (/ (* beta (- beta 2)) (+ 8 (pow beta 3))))) (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3)))))))) (* -1/2 (- (+ (* -1 (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (+ (* 4 (/ 1 (+ 8 (pow beta 3)))) (/ (* beta (- beta 2)) (+ 8 (pow beta 3))))) (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3)))) (* alpha (+ (* -1/2 (- (+ (* -1 (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (+ (* 4 (/ 1 (+ 8 (pow beta 3)))) (/ (* beta (- beta 2)) (+ 8 (pow beta 3))))) (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (+ 8 (pow beta 3))) (+ (* -1 (/ (* beta (+ 4 (* beta (- beta 2)))) (pow (+ 8 (pow beta 3)) 2))) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (+ (* 4 (/ 1 (+ 8 (pow beta 3)))) (/ (* beta (- beta 2)) (+ 8 (pow beta 3))))) (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ beta (+ 8 (pow beta 3)))) (* 2 (/ beta (+ 8 (pow beta 3))))) (+ (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow beta 3)))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (+ (* 4 (/ 1 (+ 8 (pow beta 3)))) (/ (* beta (- beta 2)) (+ 8 (pow beta 3))))) (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3))))))) (+ 8 (pow beta 3)))))))) (* -1/2 (- (+ (* -1 (/ beta (+ 8 (pow beta 3)))) (* 2 (/ beta (+ 8 (pow beta 3))))) (+ (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow beta 3)))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (+ (* 4 (/ 1 (+ 8 (pow beta 3)))) (/ (* beta (- beta 2)) (+ 8 (pow beta 3))))) (* -1 (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3)))))))))))))
(* 1/2 (/ beta (+ 8 (pow beta 3))))
(+ (* -1/2 (* alpha (- (/ 1 (+ 8 (pow beta 3))) (* -1 (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))))) (* 1/2 (/ beta (+ 8 (pow beta 3)))))
(+ (* 1/2 (/ beta (+ 8 (pow beta 3)))) (* alpha (+ (* -1/2 (- (/ 1 (+ 8 (pow beta 3))) (* -1 (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (* 1/2 (* alpha (+ (* -1 (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (/ 1 (+ 8 (pow beta 3))) (* -1 (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3)))))))))
(+ (* 1/2 (/ beta (+ 8 (pow beta 3)))) (* alpha (+ (* -1/2 (- (/ 1 (+ 8 (pow beta 3))) (* -1 (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (* alpha (+ (* 1/2 (* alpha (+ (* -1 (/ beta (pow (+ 8 (pow beta 3)) 2))) (+ (* -1 (/ (* (+ (* -1 (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (/ 1 (+ 8 (pow beta 3))) (* -1 (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3)))) (+ (* 2 (pow beta 2)) (pow beta 2))) (+ 8 (pow beta 3)))) (/ (* (+ beta (* 2 beta)) (- (/ 1 (+ 8 (pow beta 3))) (* -1 (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3))))))) (* 1/2 (+ (* -1 (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (/ 1 (+ 8 (pow beta 3))) (* -1 (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3))))))))))
(* -1/2 beta)
(+ (* -1/2 beta) (* 1/2 alpha))
(* beta (+ 2 beta))
(+ (* alpha (+ 2 (* 2 beta))) (* beta (+ 2 beta)))
(+ (* alpha (+ 2 (+ alpha (* 2 beta)))) (* beta (+ 2 beta)))
(/ 1 (* beta (+ 2 beta)))
(+ (* -1 (* alpha (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (* beta (+ 2 beta)))) (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (* beta (+ 2 beta)))) (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))) (* beta (+ 2 beta)))) (* -1 (/ (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))) (* beta (+ 2 beta))))))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (* beta (+ 2 beta)))) (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))))) (/ 1 (* beta (+ 2 beta))))
(* 2 alpha)
(* alpha (+ 2 alpha))
(pow beta 3)
(+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3))
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3))
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3))
(* 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)
(* -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)
alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(/ -1/2 alpha)
(/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha)
(/ (- (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha)))) alpha)
(/ (- (* 1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 beta) alpha)) (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) alpha)
(* -1 alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(/ (+ 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 (pow alpha 2))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) 1))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) 1))
(* alpha (+ 1 (/ beta alpha)))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* -1/2 (/ (- (+ 4 (+ (* -1 (* beta (- (* 2 beta) 2))) (* beta (- beta 2)))) (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ 2 beta))) (pow beta 2)))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* (+ beta (* 2 beta)) (- (+ 4 (+ (* -1 (* beta (- (* 2 beta) 2))) (* beta (- beta 2)))) (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ 2 beta))) (pow beta 2))))) (+ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (* -1 beta) (+ 2 beta))) (pow beta 3))))) (pow alpha 2))) (* -1/2 (/ (- (+ 4 (+ (* -1 (* beta (- (* 2 beta) 2))) (* beta (- beta 2)))) (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ 2 beta))) (pow beta 2)))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* (+ beta (* 2 beta)) (- (+ 4 (+ (* -1 (* beta (- (* 2 beta) 2))) (* beta (- beta 2)))) (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ 2 beta))) (pow beta 2))))) (+ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (* -1 beta) (+ 2 beta))) (pow beta 3))))) (pow alpha 2))) (+ (* -1/2 (/ (- (+ 4 (+ (* -1 (* beta (- (* 2 beta) 2))) (* beta (- beta 2)))) (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ 2 beta))) (pow beta 2)))) alpha)) (* 1/2 (/ (+ (* (+ 8 (pow beta 3)) (- (* -1 beta) (+ 2 beta))) (+ (* (+ beta (* 2 beta)) (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* (+ beta (* 2 beta)) (- (+ 4 (+ (* -1 (* beta (- (* 2 beta) 2))) (* beta (- beta 2)))) (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ 2 beta))) (pow beta 2))))) (+ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (* -1 beta) (+ 2 beta))) (pow beta 3)))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ 4 (+ (* -1 (* beta (- (* 2 beta) 2))) (* beta (- beta 2)))) (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ 2 beta))) (pow beta 2))))))) (pow alpha 3)))))) alpha)
(/ -1/2 (pow alpha 2))
(/ (- (* -1/2 (/ (- (* -1 beta) (+ beta (* 2 beta))) alpha)) 1/2) (pow alpha 2))
(/ (- (+ (* -1/2 (/ (- (* -1 beta) (+ beta (* 2 beta))) alpha)) (* 1/2 (/ (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta)))) (pow beta 2))) (pow alpha 2)))) 1/2) (pow alpha 2))
(/ (- (+ (* -1/2 (/ (- (* -1 beta) (+ beta (* 2 beta))) alpha)) (+ (* 1/2 (/ (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta)))) (pow beta 2))))) (+ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (* -1 beta) (+ beta (* 2 beta)))) (pow beta 3)))) (pow alpha 3))) (* 1/2 (/ (+ (* 2 (pow beta 2)) (+ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta)))) (pow beta 2))) (pow alpha 2))))) 1/2) (pow alpha 2))
(* 1/2 alpha)
(* alpha (+ 1/2 (* -1/2 (/ beta alpha))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ (* beta (+ 2 beta)) (pow alpha 2))))))
(/ 1 (pow alpha 2))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 beta)) alpha))) (pow alpha 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 2 beta))) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))) (pow alpha 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* beta (* (+ 2 beta) (+ 2 (* 2 beta))))) (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 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 alpha 2))
(* (pow alpha 2) (+ 1 (* 2 (/ 1 alpha))))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (/ beta alpha))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3))))))))
(* -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))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -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))
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 3) alpha)) (* -1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ 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))
(* (pow alpha 2) (- (* -1 (/ (+ beta (* -1 beta)) alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (+ beta (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha)))) alpha)) 1))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1/2 (/ (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha)) (* 1/2 (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha)) (* 1/2 (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (pow beta 3)))))) (* 1/2 (/ (+ (* -1 (* (+ 8 (pow beta 3)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (pow beta 3))))))) (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))))) alpha))) alpha)) (* 1/2 (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) alpha))
(/ (- (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ beta (* 2 beta)))) (* 1/2 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2)))) alpha))) alpha)) 1/2) (pow alpha 2))
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) (* 1/2 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 beta) (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) (pow beta 3)))) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ beta (* 2 beta))))) alpha)) 1/2) (pow alpha 2))
(* -1 (* alpha (- (* 1/2 (/ beta alpha)) 1/2)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (+ 2 beta))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (+ (* -1 (+ 2 beta)) (* -1 (/ (* beta (+ 2 beta)) alpha)))) alpha))))
(/ (+ 1 (+ (* -1 (/ beta alpha)) (* -1 (/ (+ 2 beta) alpha)))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2) alpha)) (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 beta) (* -1 (+ 2 beta)))) alpha))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* beta (* (+ 2 beta) (+ (* -1 beta) (* -1 (+ 2 beta))))) alpha)) (* -1 (/ (* (+ (* -1 beta) (* -1 (+ 2 beta))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta)))) alpha))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta)))) alpha)) (+ (* -1 beta) (* -1 (+ 2 beta)))) alpha))) (pow alpha 2))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (pow beta 3) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1)))
-12
(- (* -20 beta) 12)
(- (* beta (- (* -7 beta) 20)) 12)
1/2
4
(+ 4 (* 4 beta))
2
(+ 2 (* -1 beta))
(+ 2 (* beta (- beta 1)))
(+ 2 (* beta (- (* beta (+ 1 (* -1 beta))) 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)
(+ (/ 1 alpha) (/ beta alpha))
1
(+ 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)))))))))))
(+ alpha (* -1 beta))
(/ -1/2 (+ 2 alpha))
(- (* 1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha))))
(- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(- (* beta (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(* -1 (+ 2 alpha))
(- (* -1 beta) (+ 2 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 (pow alpha 2)) (* beta (+ alpha (* -1 alpha))))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (+ beta (* -1 alpha)))))
(+ 1/2 (* -1/2 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (+ 8 (pow alpha 3)))))
(+ 1/2 (+ (* -1/2 (* beta (- (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) (+ 8 (pow alpha 3)))) (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (* -1/2 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (+ 8 (pow alpha 3))))))
(+ 1/2 (+ (* -1/2 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (+ 8 (pow alpha 3)))) (* beta (+ (* -1/2 (* beta (- (+ (* -1 (/ (- (* 2 alpha) 2) (+ 8 (pow alpha 3)))) (/ alpha (+ 8 (pow alpha 3)))) (+ (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2)) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) (+ 8 (pow alpha 3)))) (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))) (+ 8 (pow alpha 3))))))) (* -1/2 (- (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) (+ 8 (pow alpha 3)))) (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))))))
(+ 1/2 (+ (* -1/2 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (+ 8 (pow alpha 3)))) (* beta (+ (* -1/2 (- (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) (+ 8 (pow alpha 3)))) (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))) (* beta (+ (* -1/2 (- (+ (* -1 (/ (- (* 2 alpha) 2) (+ 8 (pow alpha 3)))) (/ alpha (+ 8 (pow alpha 3)))) (+ (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2)) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) (+ 8 (pow alpha 3)))) (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))) (+ 8 (pow alpha 3)))))) (* 1/2 (* beta (+ (/ 1 (+ 8 (pow alpha 3))) (+ (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)) (+ (/ (* (+ alpha (* 2 alpha)) (- (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) (+ 8 (pow alpha 3)))) (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))) (+ 8 (pow alpha 3))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (- (* 2 alpha) 2) (+ 8 (pow alpha 3)))) (/ alpha (+ 8 (pow alpha 3)))) (+ (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2)) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) (+ 8 (pow alpha 3)))) (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))) (+ 8 (pow alpha 3)))))) (+ 8 (pow alpha 3))))))))))))))
(* -1/2 (/ alpha (+ 8 (pow alpha 3))))
(+ (* -1/2 (/ alpha (+ 8 (pow alpha 3)))) (* 1/2 (* beta (+ (/ 1 (+ 8 (pow alpha 3))) (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))))
(+ (* -1/2 (/ alpha (+ 8 (pow alpha 3)))) (* beta (+ (* 1/2 (* beta (+ (* -1 (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (/ 1 (+ 8 (pow alpha 3))) (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))) (+ 8 (pow alpha 3)))) (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))))) (* 1/2 (+ (/ 1 (+ 8 (pow alpha 3))) (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))))))
(+ (* -1/2 (/ alpha (+ 8 (pow alpha 3)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 8 (pow alpha 3))) (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))) (* beta (+ (* 1/2 (* beta (+ (* -1 (/ (* (+ alpha (* 2 alpha)) (+ (/ 1 (+ 8 (pow alpha 3))) (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))) (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (/ 1 (+ 8 (pow alpha 3))) (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))) (+ 8 (pow alpha 3)))) (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ 8 (pow alpha 3)))) (/ alpha (pow (+ 8 (pow alpha 3)) 2)))))) (* 1/2 (+ (* -1 (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (/ 1 (+ 8 (pow alpha 3))) (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))) (+ 8 (pow alpha 3)))) (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2)))))))))
3/4
(+ 3/4 (* -1/4 beta))
(+ 3/4 (* beta (- (* 1/4 beta) 1/4)))
(+ 3/4 (* beta (- (* beta (+ 1/4 (* -1/4 beta))) 1/4)))
(+ 1 (* -1 beta))
(+ 1 (* beta (- beta 1)))
(+ 1 (* beta (- (* beta (+ 1 (* -1 beta))) 1)))
(+ (* alpha (+ 2 alpha)) (* beta (+ 2 (* 2 alpha))))
(+ (* alpha (+ 2 alpha)) (* beta (+ 2 (+ beta (* 2 alpha)))))
(/ 1 (* alpha (+ 2 alpha)))
(+ (* -1 (* beta (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))))) (/ 1 (* alpha (+ 2 alpha))))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (* alpha (+ 2 alpha)))) (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))))) (/ 1 (* alpha (+ 2 alpha))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (* alpha (+ 2 alpha)))) (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* alpha (+ 2 alpha)))) (* -1 (/ (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* alpha (+ 2 alpha))))))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (* alpha (+ 2 alpha)))) (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))))) (/ 1 (* alpha (+ 2 alpha))))
(+ (* beta (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow alpha 3))
(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (* 2 alpha))) (pow alpha 2)))) (pow alpha 3))
(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (+ beta (* 2 alpha)))) (pow alpha 2)))) (pow alpha 3))
(* -7 (pow beta 2))
(* -1 (* (pow beta 2) (+ 7 (* 20 (/ 1 beta)))))
(* (pow beta 2) (- (* -1 (/ (+ 20 (* 12 (/ 1 beta))) beta)) 7))
(* 4 beta)
(* beta (+ 4 (* 4 (/ 1 beta))))
(+ 1 (/ 1 beta))
(- (+ 1 (/ 1 beta)) (/ 1 (pow beta 2)))
(- (+ 1 (+ (/ 1 beta) (/ 1 (pow beta 3)))) (/ 1 (pow beta 2)))
(+ 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))))))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ 1 (/ 1 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))))))
(* beta (- (/ alpha beta) 1))
(/ -1/2 beta)
(/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta)
(/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta)))) beta)
(/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) beta)
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(+ 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))))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))))
(* beta (+ 1 (/ alpha beta)))
(+ 1 (* -1/2 (/ (- (+ alpha (* -1 (- (* 2 alpha) 2))) (* -1 (+ alpha (* 2 alpha)))) beta)))
(+ 1 (+ (* -1/2 (/ (- (+ alpha (* -1 (- (* 2 alpha) 2))) (* -1 (+ alpha (* 2 alpha)))) beta)) (* -1/2 (/ (- (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* alpha (- (* 2 alpha) 2))) (+ (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (* (+ alpha (* 2 alpha)) (- (+ alpha (* -1 (- (* 2 alpha) 2))) (* -1 (+ alpha (* 2 alpha))))))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (- (* alpha (+ 4 (* alpha (- alpha 2)))) (+ (* -1 (+ 8 (pow alpha 3))) (+ (* (+ alpha (* 2 alpha)) (- (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* alpha (- (* 2 alpha) 2))) (+ (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (* (+ alpha (* 2 alpha)) (- (+ alpha (* -1 (- (* 2 alpha) 2))) (* -1 (+ alpha (* 2 alpha)))))))) (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ alpha (* -1 (- (* 2 alpha) 2))) (* -1 (+ alpha (* 2 alpha)))))))) (pow beta 3))) (+ (* -1/2 (/ (- (+ alpha (* -1 (- (* 2 alpha) 2))) (* -1 (+ alpha (* 2 alpha)))) beta)) (* -1/2 (/ (- (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* alpha (- (* 2 alpha) 2))) (+ (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (* (+ alpha (* 2 alpha)) (- (+ alpha (* -1 (- (* 2 alpha) 2))) (* -1 (+ alpha (* 2 alpha))))))) (pow beta 2))))))
(/ 1/2 (pow beta 2))
(/ (+ 1/2 (* -1/2 (/ (- alpha (* -1 (+ alpha (* 2 alpha)))) beta))) (pow beta 2))
(/ (+ 1/2 (+ (* -1/2 (/ (- alpha (* -1 (+ alpha (* 2 alpha)))) beta)) (* 1/2 (/ (+ (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (* (+ alpha (* 2 alpha)) (- alpha (* -1 (+ alpha (* 2 alpha)))))) (pow beta 2))))) (pow beta 2))
(/ (+ 1/2 (+ (* -1/2 (/ (- alpha (* -1 (+ alpha (* 2 alpha)))) beta)) (+ (* 1/2 (/ (+ (* -1 (* (+ alpha (* 2 alpha)) (+ (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (* (+ alpha (* 2 alpha)) (- alpha (* -1 (+ alpha (* 2 alpha)))))))) (+ (* -1 (+ 8 (pow alpha 3))) (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- alpha (* -1 (+ alpha (* 2 alpha))))))) (pow beta 3))) (* 1/2 (/ (+ (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (* (+ alpha (* 2 alpha)) (- alpha (* -1 (+ alpha (* 2 alpha)))))) (pow beta 2)))))) (pow beta 2))
(* beta (- (* 1/2 (/ alpha beta)) 1/2))
(+ 1/2 (* 1/4 (/ 1 beta)))
(- (+ 1/2 (* 1/4 (/ 1 beta))) (/ 1/4 (pow beta 2)))
(- (+ 1/2 (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 (pow beta 3))))) (/ 1/4 (pow beta 2)))
(/ 1 beta)
(/ (- 1 (/ 1 beta)) beta)
(/ (- (+ 1 (/ 1 (pow beta 2))) (/ 1 beta)) beta)
(/ (- (+ 1 (/ 1 (pow beta 2))) (+ (/ 1 beta) (/ 1 (pow beta 3)))) beta)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2))))))
(/ 1 (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 alpha)) beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (* alpha (+ 2 alpha))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* alpha (* (+ 2 alpha) (+ 2 (* 2 alpha))))) (* -1 (* (+ 2 (* 2 alpha)) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (* alpha (+ 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 beta 2))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3))))))))
(+ 1 (* -1 (/ (- (/ 1 beta) 1) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 beta) 1) beta)) 1) 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)))
(+ 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 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) beta)) (* -1/2 (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 3) beta)) (* -1/2 (pow (+ 2 alpha) 2))) beta)) (* -1/2 (+ 2 alpha))) beta))) beta))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ 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)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(+ 1 (* 1/2 (/ (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha)))) (* 1/2 (/ (- (* -1 (+ 4 (+ (* alpha (+ (* -1 alpha) (* -1 (- alpha 2)))) (* alpha (- alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (+ 4 (+ (* alpha (+ (* -1 alpha) (* -1 (- alpha 2)))) (* alpha (- alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) (* 1/2 (/ (- (* -1 (* alpha (+ 4 (* alpha (- alpha 2))))) (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 4 (+ (* alpha (+ (* -1 alpha) (* -1 (- alpha 2)))) (* alpha (- alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))))) (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) (pow alpha 3))))) beta))) beta)) (* -1/2 (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) beta)))
(/ (+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ alpha (* 2 alpha))) beta))) (pow beta 2))
(/ (+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1/2 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* (+ alpha (* 2 alpha)) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) (pow alpha 3)))) beta)) (* 1/2 (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) beta)) (* -1/2 (- (* -1 alpha) (+ alpha (* 2 alpha))))) beta))) (pow beta 2))
(* -1 (* beta (+ 1/2 (* -1/2 (/ alpha beta)))))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/4) beta)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/4) beta)) 1/4) beta)))
(* -1 (/ (- (/ 1 beta) 1) beta))
(* -1 (/ (- (* -1 (/ (- (/ 1 beta) 1) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 beta) 1) beta)) 1) beta)) 1) beta))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (/ (* alpha (+ 2 alpha)) beta)))) beta))))
(/ (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 2 alpha) beta)))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2) beta)) (/ (* alpha (+ 2 alpha)) beta)) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (* (+ 2 alpha) (+ (* -1 alpha) (* -1 (+ 2 alpha))))) beta)) (* -1 (/ (* (+ (* -1 alpha) (* -1 (+ 2 alpha))) (+ (* -1 (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) (* alpha (+ 2 alpha)))) beta))) (+ (* -1 (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) (* alpha (+ 2 alpha)))) beta)) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) beta))) (pow beta 2))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (* 2 alpha)) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (pow alpha 3) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))

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

rewrite207.0ms (2.2%)

Memory

-21.1MiB live, 294.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	342
0	104	316
1	514	314
2	4940	314
0	8198	309

Stop Event

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

Counts

24 → 600

Calls

Call 1

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

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

eval225.0ms (2.4%)

Memory: 18.3MiB live, 452.6MiB allocated
Compiler: Compiled 66 882 to 6 616 computations (90.1% saved)

prune28.0ms (0.3%)

Memory

-3.3MiB live, 82.7MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1 063	10	1 073
Fresh	10	4	14
Picked	3	2	5
Done	0	1	1
Total	1 076	17	1 093

Accuracy

100.0%

Counts

1 093 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.1%	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
	68.2%	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64))
	45.9%	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
▶	46.7%	(/.f64 (fma.f64 #s(approx (* (+ alpha beta) (- beta alpha)) (.f64 (neg.f64 alpha) alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	71.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))))
	46.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) (+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))) alpha)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))))))
▶	76.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))))))
▶	68.9%	#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)))
	31.8%	#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))
✓	32.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	26.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
	32.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) beta))))
▶	9.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
▶	32.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
	32.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) alpha)) beta)))
✓	34.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	47.8%	#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)))

Compiler

Compiled 1 050 to 623 computations (40.7% saved)

simplify177.0ms (1.9%)

Memory

-3.1MiB live, 234.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 alpha) alpha)
cost-diff	0	#s(approx (* (+ alpha beta) (- beta alpha)) (*.f64 (neg.f64 alpha) alpha))
cost-diff	0	(/.f64 (fma.f64 #s(approx (* (+ alpha beta) (- beta alpha)) (.f64 (neg.f64 alpha) alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	192	(fma.f64 #s(approx (* (+ alpha beta) (- beta alpha)) (.f64 (neg.f64 alpha) alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) alpha)
cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))
cost-diff	0	#s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
cost-diff	0	(+.f64 #s(literal 2 binary64) beta)
cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
cost-diff	0	#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)))
cost-diff	0	(/.f64 beta alpha)
cost-diff	0	#s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
cost-diff	128	(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))
cost-diff	128	(-.f64 (neg.f64 (/.f64 #s(approx (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))))
cost-diff	128	(.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))))
cost-diff	384	(fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	825
0	106	785
1	227	773
2	552	701
3	1924	582
0	8588	542

Stop Event

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

Calls

Call 1

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

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

localize304.0ms (3.3%)

Memory

8.8MiB live, 405.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.5428520680758521	(/.f64 #s(literal 1 binary64) #s(approx (* (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)))
accuracy	26.18705609105954	(fma.f64 #s(approx (* (+ alpha beta) (- beta alpha)) (.f64 (neg.f64 alpha) alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #s(literal 1 binary64))
accuracy	26.88469128113064	#s(approx (* (+ alpha beta) (- beta alpha)) (*.f64 (neg.f64 alpha) alpha))
accuracy	30.320292764715546	#s(approx (* (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))
accuracy	0	(/.f64 #s(literal 1 binary64) alpha)
accuracy	0	#s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))
accuracy	0.0234375	(+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))
accuracy	43.19580154872777	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
accuracy	0	(+.f64 #s(literal 2 binary64) beta)
accuracy	0.00390625	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
accuracy	0.01953125	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
accuracy	19.91255456655449	#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)))
accuracy	0	(/.f64 beta alpha)
accuracy	42.35521787039507	#s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))
accuracy	43.19580154872777	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
accuracy	0.0546875	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))))))
accuracy	0.109375	(.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))))
accuracy	0.23680067030919322	(/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))
accuracy	18.51227268369135	#s(approx (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64))

Samples

104.0ms	92×	1	valid
84.0ms	48×	2	valid
67.0ms	116×	0	valid

Compiler

Compiled 1 451 to 157 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-div: 75.0ms (36.5% of total)

ival-mult: 36.0ms (17.5% of total)

adjust: 32.0ms (15.6% of total)

ival-add: 26.0ms (12.6% of total)

ival-sub: 18.0ms (8.8% of total)

ival-pow: 7.0ms (3.4% of total)

ival-pow2: 7.0ms (3.4% of total)

ival-neg: 4.0ms (1.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series56.0ms (0.6%)

Memory

11.8MiB live, 49.8MiB allocated

Counts

24 → 203

Calls

Call 1

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

Outputs
(+ (* -2 (/ (+ 2 (* 2 beta)) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))))
(+ (* -2 (/ (+ 2 (* 2 beta)) (+ (* 2 beta) (* 2 (+ 2 beta))))) (+ (* 4 (/ alpha (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))))
(* -1 (/ (+ (* -2 (/ (+ 2 (* 2 beta)) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha))
(/ (- (* -4 (/ alpha (+ (* 2 beta) (* 2 (+ 2 beta))))) (+ (* -2 (/ (+ 2 (* 2 beta)) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))))) alpha)
(* 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) alpha)
(/ beta alpha)
(/ 1 alpha)
(+ 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)
(+ (* alpha (+ beta (* -1 beta))) (pow beta 2))
(+ (* alpha (+ beta (+ (* -1 alpha) (* -1 beta)))) (pow beta 2))
(* -1 (pow alpha 2))
(/ (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1) (- (* 2 (/ beta (+ 2 beta))) 2))
(- (+ (* alpha (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (* (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2)))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2)))
(- (+ (* alpha (- (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* alpha (- (/ 1 (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (* -2 (/ (* (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (* (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2))))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (* -2 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (pow beta 2) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2))))))))) (+ (* -2 (/ (* (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2)))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2)))
(- (+ (* alpha (- (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* alpha (- (+ (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 6) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (* -2 (/ beta (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (* (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (* (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2))))) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (* -2 (/ (* (- (/ 1 (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (* -2 (/ (* (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (* (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2))))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (* -2 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (pow beta 2) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2))))))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (* -2 (/ (* (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))))))))) (/ 1 (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (* (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (* (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2))))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (* -2 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (pow beta 2) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2))))))))) (+ (* -2 (/ (* (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2)))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2)))
(* beta (+ 2 beta))
(+ (* alpha (+ 2 (* 2 beta))) (* beta (+ 2 beta)))
(+ (* alpha (+ 2 (+ alpha (* 2 beta)))) (* beta (+ 2 beta)))
(/ 1 (* beta (+ 2 beta)))
(+ (* -1 (* alpha (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (* beta (+ 2 beta)))) (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (* beta (+ 2 beta)))) (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))) (* beta (+ 2 beta)))) (* -1 (/ (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))) (* beta (+ 2 beta))))))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (* beta (+ 2 beta)))) (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))))) (/ 1 (* beta (+ 2 beta))))
(* 4 (/ alpha (+ (* 2 beta) (* 2 (+ 2 beta)))))
(* alpha (+ (* -2 (/ (+ 2 (* 2 beta)) (* alpha (+ (* 2 beta) (* 2 (+ 2 beta)))))) (+ (* 4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow (+ 2 beta) 2))) (* alpha (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) (* 4 (/ 1 (+ (* 2 beta) (* 2 (+ 2 beta))))))))
(/ -4 (+ (* 2 beta) (* 2 (+ 2 beta))))
(- (* -1 (/ (+ (* -2 (/ (+ 2 (* 2 beta)) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (* 4 (/ 1 (+ (* 2 beta) (* 2 (+ 2 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)
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) 1))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) 1))
(* -1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))
(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha))) (* -1/8 (/ (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (+ (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha)) (* 1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) (+ (* -1/8 (/ (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta))) alpha)) (+ (* 1/8 (/ (* (+ 2 beta) (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta)))))) (pow alpha 2)))))) alpha)
(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (+ (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha)) (+ (* 1/4 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))))) (pow alpha 3))) (* 1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2)))))) (+ (* -1/2 (/ (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta))))))) (pow alpha 3))) (+ (* -1/8 (/ (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta))) alpha)) (+ (* -1/8 (/ (* (pow (+ 2 beta) 2) (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta)))) (pow alpha 3))) (+ (* 1/8 (/ (* (+ 2 beta) (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta)))))) (pow alpha 2))) (* 1/2 (/ (* (- (* -1 beta) (+ 2 beta)) (- (* 1/4 (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))))) (+ (* 1/8 (* (+ 2 beta) (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta))))) (* 1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta)))))))))) (pow alpha 3))))))))) alpha)
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ (* beta (+ 2 beta)) (pow alpha 2))))))
(/ 1 (pow alpha 2))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 beta)) alpha))) (pow alpha 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 2 beta))) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))) (pow alpha 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* beta (* (+ 2 beta) (+ 2 (* 2 beta))))) (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 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 alpha 2))
(* -1 (* alpha (- (* -1 (/ (+ (* -2 (/ (+ 2 (* 2 beta)) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (* 4 (/ 1 (+ (* 2 beta) (* 2 (+ 2 beta))))))))
(* -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) 1) 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))
(* (pow alpha 2) (- (* -1 (/ (+ beta (* -1 beta)) alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (+ beta (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha)))) alpha)) 1))
(* 1/4 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* -1/8 (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) (* 1/2 (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))))))) alpha)) (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* -1/8 (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* 2 (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))))) (+ (* -1/8 (* (pow (+ 2 beta) 2) (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* 1/2 (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta))))))))) (* 1/2 (* (- beta (* -1 (+ 2 beta))) (- (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* -1/8 (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) (* 1/2 (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta))))))))))))))) alpha)) (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))))) (+ (* -1/8 (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) (* 1/2 (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))))))) alpha)) (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* -1/8 (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (+ 2 beta))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (+ (* -1 (+ 2 beta)) (* -1 (/ (* beta (+ 2 beta)) alpha)))) alpha))))
(/ (+ 1 (+ (* -1 (/ beta alpha)) (* -1 (/ (+ 2 beta) alpha)))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2) alpha)) (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 beta) (* -1 (+ 2 beta)))) alpha))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* beta (* (+ 2 beta) (+ (* -1 beta) (* -1 (+ 2 beta))))) alpha)) (* -1 (/ (* (+ (* -1 beta) (* -1 (+ 2 beta))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta)))) alpha))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta)))) alpha)) (+ (* -1 beta) (* -1 (+ 2 beta)))) alpha))) (pow alpha 2))
4
(+ 4 (* 4 beta))
(* alpha (- (+ 1 (* 3 (/ 1 alpha))) (/ 1 alpha)))
(+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (- (+ 1 (* 3 (/ 1 alpha))) (/ 1 alpha))))
(+ (* alpha (- (+ 1 (* 3 (/ 1 alpha))) (/ 1 alpha))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* alpha (* beta (+ 1 (/ 1 alpha)))))))
(+ (* alpha (- (+ 1 (* 3 (/ 1 alpha))) (/ 1 alpha))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (/ 1 alpha))))))))
(- (/ 1 alpha) (+ 1 (* 3 (/ 1 alpha))))
(- (+ (* beta (+ 1 (/ 1 alpha))) (/ 1 alpha)) (+ 1 (* 3 (/ 1 alpha))))
(- (+ (* beta (+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (/ 1 alpha)))) (/ 1 alpha)) (+ 1 (* 3 (/ 1 alpha))))
(- (+ (* beta (+ 1 (+ (* beta (- (* beta (+ 1 (/ 1 alpha))) (+ 1 (/ 1 alpha)))) (/ 1 alpha)))) (/ 1 alpha)) (+ 1 (* 3 (/ 1 alpha))))
(+ 4 (* 2 beta))
(* 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 alpha))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
2
(+ 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)))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (* -1 alpha))))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (+ beta (* -1 alpha)))))
(+ 2 (* -1 beta))
(+ 2 (* beta (- beta 1)))
(+ 2 (* beta (- (* beta (+ 1 (* -1 beta))) 1)))
1
(+ 1 (* -1 beta))
(+ 1 (* beta (- beta 1)))
(+ 1 (* beta (- (* beta (+ 1 (* -1 beta))) 1)))
(/ (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1) (- (* -2 (/ alpha (+ 2 alpha))) 2))
(- (+ (* beta (- (* -2 (/ alpha (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))))) (/ (pow alpha 2) (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (/ 1 (- (* -2 (/ alpha (+ 2 alpha))) 2)))
(- (+ (* beta (- (+ (* -2 (/ alpha (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (* beta (- (/ 1 (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (* (+ 2 alpha) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -2 (/ alpha (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))))) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (/ (pow alpha 2) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2))))))))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))))) (/ (pow alpha 2) (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (/ 1 (- (* -2 (/ alpha (+ 2 alpha))) 2)))
(- (+ (* beta (- (+ (* -2 (/ alpha (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (* beta (- (+ (* beta (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (pow (+ 2 alpha) 6) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (+ (* -2 (/ alpha (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -2 (/ alpha (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))))) (* (+ 2 alpha) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ 1 (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (* (+ 2 alpha) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -2 (/ alpha (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))))) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (/ (pow alpha 2) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))))))) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (+ (* 2 (/ (* (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2))))))))) (/ 1 (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (* (+ 2 alpha) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -2 (/ alpha (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))))) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (/ (pow alpha 2) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2))))))))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))))) (/ (pow alpha 2) (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (/ 1 (- (* -2 (/ alpha (+ 2 alpha))) 2)))
(* alpha (+ 2 alpha))
(+ (* alpha (+ 2 alpha)) (* beta (+ 2 (* 2 alpha))))
(+ (* alpha (+ 2 alpha)) (* beta (+ 2 (+ beta (* 2 alpha)))))
(/ 1 (* alpha (+ 2 alpha)))
(+ (* -1 (* beta (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))))) (/ 1 (* alpha (+ 2 alpha))))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (* alpha (+ 2 alpha)))) (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))))) (/ 1 (* alpha (+ 2 alpha))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (* alpha (+ 2 alpha)))) (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* alpha (+ 2 alpha)))) (* -1 (/ (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* alpha (+ 2 alpha))))))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (* alpha (+ 2 alpha)))) (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))))) (/ 1 (* alpha (+ 2 alpha))))
(* 4 beta)
(* beta (+ 4 (* 4 (/ 1 beta))))
(+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (/ (* alpha (+ 1 (/ 1 alpha))) beta) (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 3)))))
(/ -1 alpha)
(- (* -1 (/ (+ 1 (/ 1 alpha)) beta)) (/ 1 alpha))
(- (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(- (+ (* -1 (/ (+ 1 (/ 1 alpha)) (pow beta 3))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* 2 beta)
(* beta (+ 2 (* 4 (/ 1 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))))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+ 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))))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))))
(+ 1 (/ 1 beta))
(- (+ 1 (/ 1 beta)) (/ 1 (pow beta 2)))
(- (+ 1 (+ (/ 1 beta) (/ 1 (pow beta 3)))) (/ 1 (pow beta 2)))
(/ 1 beta)
(/ (- 1 (/ 1 beta)) beta)
(/ (- (+ 1 (/ 1 (pow beta 2))) (/ 1 beta)) beta)
(/ (- (+ 1 (/ 1 (pow beta 2))) (+ (/ 1 beta) (/ 1 (pow beta 3)))) beta)
(* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (- alpha (* -1 (+ 2 alpha)))))
(- (+ (* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (- alpha (* -1 (+ 2 alpha))))) (* -1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (* beta (- alpha (* -1 (+ 2 alpha))))))) (* 1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* beta (- alpha (* -1 (+ 2 alpha)))))))
(- (+ (* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (- alpha (* -1 (+ 2 alpha))))) (+ (* -1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1 (/ (* (+ 2 alpha) (- (* -1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))))) (pow beta 2))) (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* beta (- alpha (* -1 (+ 2 alpha)))))))))
(- (+ (* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (- alpha (* -1 (+ 2 alpha))))) (+ (* -1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (* beta (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/2 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))))) (* (pow beta 3) (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha))))))))) (+ (* -1 (/ (* (+ 2 alpha) (- (* -1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))))) (pow beta 2))) (+ (* -1 (/ (* (+ 2 alpha) (- (* 1/2 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (- alpha (* -1 (+ 2 alpha))))) (+ (* -1 (* (+ 2 alpha) (- (* -1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- alpha (* -1 (+ 2 alpha)))))))) (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- alpha (* -1 (+ 2 alpha)))))))) (pow beta 3))) (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* beta (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 3) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* (pow beta 3) (- alpha (* -1 (+ 2 alpha)))))) (/ (* (pow (+ 2 alpha) 2) (- (* -1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))))) (pow beta 3))))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2))))))
(/ 1 (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 alpha)) beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (* alpha (+ 2 alpha))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* alpha (* (+ 2 alpha) (+ 2 (* 2 alpha))))) (* -1 (* (+ 2 (* 2 alpha)) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (* alpha (+ 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 beta 2))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta))) beta)))
(- (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 alpha)) beta)) (/ 1 alpha))) beta)) (/ 1 alpha))
(- (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 alpha)) beta)) (/ 1 alpha))) beta)) (/ 1 alpha))) beta)) (/ 1 alpha))
(+ 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 (/ (- (+ 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 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) 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)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
(+ 1 (* -1 (/ (- (/ 1 beta) 1) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 beta) 1) beta)) 1) beta)))
(* -1 (/ (- (/ 1 beta) 1) beta))
(* -1 (/ (- (* -1 (/ (- (/ 1 beta) 1) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 beta) 1) beta)) 1) beta)) 1) beta))
(* 1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- alpha (* -1 (+ 2 alpha)))))
(+ (* -1 (/ (- (* 1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- alpha (* -1 (+ 2 alpha))))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))) (* (+ 2 alpha) (- (* 1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))))))) beta)) (* 1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- alpha (* -1 (+ 2 alpha))))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ (* 2 (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 3) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))) (+ (* (+ 2 alpha) (- (* -1/2 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))) (* (+ 2 alpha) (- (* 1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha)))))))))) (* (pow (+ 2 alpha) 2) (- (* 1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha)))))))))) beta)) (* -1/2 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))) (* (+ 2 alpha) (- (* 1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))))))) beta)) (* 1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- alpha (* -1 (+ 2 alpha))))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (/ (* alpha (+ 2 alpha)) beta)))) beta))))
(/ (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 2 alpha) beta)))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2) beta)) (/ (* alpha (+ 2 alpha)) beta)) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (* (+ 2 alpha) (+ (* -1 alpha) (* -1 (+ 2 alpha))))) beta)) (* -1 (/ (* (+ (* -1 alpha) (* -1 (+ 2 alpha))) (+ (* -1 (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) (* alpha (+ 2 alpha)))) beta))) (+ (* -1 (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) (* alpha (+ 2 alpha)))) beta)) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) beta))) (pow beta 2))

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	alpha	@	inf	((+ (* 2 beta) (* 2 (+ 2 beta))) (* (neg alpha) (- (neg (/ (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))))) (- (neg (/ (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 2 (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (/ beta alpha) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ (/ 1 alpha) (/ beta alpha)) (/ 1 alpha) (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) 2) (* (+ alpha beta) (- beta alpha)) (* (neg alpha) alpha) (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))) (/ 1 (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1))) (* (+ alpha beta) (+ 2 (+ alpha beta))) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta)))))
6.0ms	alpha	@	0	((+ (* 2 beta) (* 2 (+ 2 beta))) (* (neg alpha) (- (neg (/ (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))))) (- (neg (/ (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 2 (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (/ beta alpha) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ (/ 1 alpha) (/ beta alpha)) (/ 1 alpha) (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) 2) (* (+ alpha beta) (- beta alpha)) (* (neg alpha) alpha) (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))) (/ 1 (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1))) (* (+ alpha beta) (+ 2 (+ alpha beta))) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta)))))
5.0ms	alpha	@	-inf	((+ (* 2 beta) (* 2 (+ 2 beta))) (* (neg alpha) (- (neg (/ (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))))) (- (neg (/ (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 2 (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (/ beta alpha) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ (/ 1 alpha) (/ beta alpha)) (/ 1 alpha) (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) 2) (* (+ alpha beta) (- beta alpha)) (* (neg alpha) alpha) (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))) (/ 1 (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1))) (* (+ alpha beta) (+ 2 (+ alpha beta))) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta)))))
4.0ms	beta	@	inf	((+ (* 2 beta) (* 2 (+ 2 beta))) (* (neg alpha) (- (neg (/ (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))))) (- (neg (/ (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 2 (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (/ beta alpha) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ (/ 1 alpha) (/ beta alpha)) (/ 1 alpha) (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) 2) (* (+ alpha beta) (- beta alpha)) (* (neg alpha) alpha) (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))) (/ 1 (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1))) (* (+ alpha beta) (+ 2 (+ alpha beta))) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta)))))
3.0ms	beta	@	-inf	((+ (* 2 beta) (* 2 (+ 2 beta))) (* (neg alpha) (- (neg (/ (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))))) (- (neg (/ (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 2 (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (/ beta alpha) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ (/ 1 alpha) (/ beta alpha)) (/ 1 alpha) (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (* (+ alpha beta) (- beta alpha)) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta))))) 1) 2) (* (+ alpha beta) (- beta alpha)) (* (neg alpha) alpha) (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))) (/ 1 (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1))) (* (+ alpha beta) (+ 2 (+ alpha beta))) (/ 1 (* (+ alpha beta) (+ 2 (+ alpha beta)))))

simplify303.0ms (3.3%)

Memory

-9.5MiB live, 233.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1281	10494
1	4335	9944
0	8755	9381

Stop Event

1×	iter limit
1×	node limit

Counts

203 → 202

Calls

Call 1

Inputs
(+ (* -2 (/ (+ 2 (* 2 beta)) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))))
(+ (* -2 (/ (+ 2 (* 2 beta)) (+ (* 2 beta) (* 2 (+ 2 beta))))) (+ (* 4 (/ alpha (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))))
(* -1 (/ (+ (* -2 (/ (+ 2 (* 2 beta)) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha))
(/ (- (* -4 (/ alpha (+ (* 2 beta) (* 2 (+ 2 beta))))) (+ (* -2 (/ (+ 2 (* 2 beta)) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))))) alpha)
(* 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) alpha)
(/ beta alpha)
(/ 1 alpha)
(+ 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)
(+ (* alpha (+ beta (* -1 beta))) (pow beta 2))
(+ (* alpha (+ beta (+ (* -1 alpha) (* -1 beta)))) (pow beta 2))
(* -1 (pow alpha 2))
(/ (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1) (- (* 2 (/ beta (+ 2 beta))) 2))
(- (+ (* alpha (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (* (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2)))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2)))
(- (+ (* alpha (- (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* alpha (- (/ 1 (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (* -2 (/ (* (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (* (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2))))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (* -2 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (pow beta 2) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2))))))))) (+ (* -2 (/ (* (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2)))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2)))
(- (+ (* alpha (- (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* alpha (- (+ (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 6) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (* -2 (/ beta (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (* (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (* (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2))))) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (* -2 (/ (* (- (/ 1 (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (* -2 (/ (* (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (* (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2))))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (* -2 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (pow beta 2) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2))))))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (* -2 (/ (* (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))))))))) (/ 1 (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (* (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (* (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2))))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (* -2 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (pow beta 2) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2))))))))) (+ (* -2 (/ (* (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (* 2 (/ beta (+ 2 beta))) 2)))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2)))
(* beta (+ 2 beta))
(+ (* alpha (+ 2 (* 2 beta))) (* beta (+ 2 beta)))
(+ (* alpha (+ 2 (+ alpha (* 2 beta)))) (* beta (+ 2 beta)))
(/ 1 (* beta (+ 2 beta)))
(+ (* -1 (* alpha (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (* beta (+ 2 beta)))) (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (* beta (+ 2 beta)))) (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))) (* beta (+ 2 beta)))) (* -1 (/ (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))) (* beta (+ 2 beta))))))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (* beta (+ 2 beta)))) (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (* beta (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2))))))) (/ 1 (* beta (+ 2 beta))))
(* 4 (/ alpha (+ (* 2 beta) (* 2 (+ 2 beta)))))
(* alpha (+ (* -2 (/ (+ 2 (* 2 beta)) (* alpha (+ (* 2 beta) (* 2 (+ 2 beta)))))) (+ (* 4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow (+ 2 beta) 2))) (* alpha (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) (* 4 (/ 1 (+ (* 2 beta) (* 2 (+ 2 beta))))))))
(/ -4 (+ (* 2 beta) (* 2 (+ 2 beta))))
(- (* -1 (/ (+ (* -2 (/ (+ 2 (* 2 beta)) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (* 4 (/ 1 (+ (* 2 beta) (* 2 (+ 2 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)
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) 1))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) 1))
(* -1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))
(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha))) (* -1/8 (/ (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (+ (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha)) (* 1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) (+ (* -1/8 (/ (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta))) alpha)) (+ (* 1/8 (/ (* (+ 2 beta) (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta)))))) (pow alpha 2)))))) alpha)
(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (+ (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha)) (+ (* 1/4 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))))) (pow alpha 3))) (* 1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2)))))) (+ (* -1/2 (/ (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta))))))) (pow alpha 3))) (+ (* -1/8 (/ (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta))) alpha)) (+ (* -1/8 (/ (* (pow (+ 2 beta) 2) (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta)))) (pow alpha 3))) (+ (* 1/8 (/ (* (+ 2 beta) (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta)))))) (pow alpha 2))) (* 1/2 (/ (* (- (* -1 beta) (+ 2 beta)) (- (* 1/4 (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))))) (+ (* 1/8 (* (+ 2 beta) (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta))))) (* 1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 beta) (+ 2 beta)))))))))) (pow alpha 3))))))))) alpha)
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ (* beta (+ 2 beta)) (pow alpha 2))))))
(/ 1 (pow alpha 2))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 beta)) alpha))) (pow alpha 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 2 beta))) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))) (pow alpha 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* beta (* (+ 2 beta) (+ 2 (* 2 beta))))) (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (* beta (+ 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 alpha 2))
(* -1 (* alpha (- (* -1 (/ (+ (* -2 (/ (+ 2 (* 2 beta)) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* 4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (* 4 (/ 1 (+ (* 2 beta) (* 2 (+ 2 beta))))))))
(* -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) 1) 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))
(* (pow alpha 2) (- (* -1 (/ (+ beta (* -1 beta)) alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (+ beta (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha)))) alpha)) 1))
(* 1/4 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* -1/8 (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) (* 1/2 (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))))))) alpha)) (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* -1/8 (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* 2 (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))))) (+ (* -1/8 (* (pow (+ 2 beta) 2) (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* 1/2 (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta))))))))) (* 1/2 (* (- beta (* -1 (+ 2 beta))) (- (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* -1/8 (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) (* 1/2 (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta))))))))))))))) alpha)) (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))))) (+ (* -1/8 (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) (* 1/2 (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* -1/8 (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))))))) alpha)) (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* -1/8 (* (- beta (* -1 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (+ 2 beta))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (+ (* -1 (+ 2 beta)) (* -1 (/ (* beta (+ 2 beta)) alpha)))) alpha))))
(/ (+ 1 (+ (* -1 (/ beta alpha)) (* -1 (/ (+ 2 beta) alpha)))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2) alpha)) (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 beta) (* -1 (+ 2 beta)))) alpha))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* beta (* (+ 2 beta) (+ (* -1 beta) (* -1 (+ 2 beta))))) alpha)) (* -1 (/ (* (+ (* -1 beta) (* -1 (+ 2 beta))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta)))) alpha))) (+ (* -1 (pow (+ (* -1 beta) (* -1 (+ 2 beta))) 2)) (* beta (+ 2 beta)))) alpha)) (+ (* -1 beta) (* -1 (+ 2 beta)))) alpha))) (pow alpha 2))
4
(+ 4 (* 4 beta))
(* alpha (- (+ 1 (* 3 (/ 1 alpha))) (/ 1 alpha)))
(+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (- (+ 1 (* 3 (/ 1 alpha))) (/ 1 alpha))))
(+ (* alpha (- (+ 1 (* 3 (/ 1 alpha))) (/ 1 alpha))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* alpha (* beta (+ 1 (/ 1 alpha)))))))
(+ (* alpha (- (+ 1 (* 3 (/ 1 alpha))) (/ 1 alpha))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (/ 1 alpha))))))))
(- (/ 1 alpha) (+ 1 (* 3 (/ 1 alpha))))
(- (+ (* beta (+ 1 (/ 1 alpha))) (/ 1 alpha)) (+ 1 (* 3 (/ 1 alpha))))
(- (+ (* beta (+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (/ 1 alpha)))) (/ 1 alpha)) (+ 1 (* 3 (/ 1 alpha))))
(- (+ (* beta (+ 1 (+ (* beta (- (* beta (+ 1 (/ 1 alpha))) (+ 1 (/ 1 alpha)))) (/ 1 alpha)))) (/ 1 alpha)) (+ 1 (* 3 (/ 1 alpha))))
(+ 4 (* 2 beta))
(* 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 alpha))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
2
(+ 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)))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (* -1 alpha))))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (+ beta (* -1 alpha)))))
(+ 2 (* -1 beta))
(+ 2 (* beta (- beta 1)))
(+ 2 (* beta (- (* beta (+ 1 (* -1 beta))) 1)))
1
(+ 1 (* -1 beta))
(+ 1 (* beta (- beta 1)))
(+ 1 (* beta (- (* beta (+ 1 (* -1 beta))) 1)))
(/ (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1) (- (* -2 (/ alpha (+ 2 alpha))) 2))
(- (+ (* beta (- (* -2 (/ alpha (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))))) (/ (pow alpha 2) (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (/ 1 (- (* -2 (/ alpha (+ 2 alpha))) 2)))
(- (+ (* beta (- (+ (* -2 (/ alpha (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (* beta (- (/ 1 (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (* (+ 2 alpha) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -2 (/ alpha (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))))) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (/ (pow alpha 2) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2))))))))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))))) (/ (pow alpha 2) (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (/ 1 (- (* -2 (/ alpha (+ 2 alpha))) 2)))
(- (+ (* beta (- (+ (* -2 (/ alpha (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (* beta (- (+ (* beta (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (pow (+ 2 alpha) 6) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (+ (* -2 (/ alpha (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -2 (/ alpha (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))))) (* (+ 2 alpha) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ 1 (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (* (+ 2 alpha) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -2 (/ alpha (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))))) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (/ (pow alpha 2) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))))))) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (+ (* 2 (/ (* (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2))))))))) (/ 1 (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (* (+ 2 alpha) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -2 (/ alpha (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))))) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (/ (pow alpha 2) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2))))))))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (pow (+ 2 alpha) 4) (- (* -2 (/ alpha (+ 2 alpha))) 2)))))) (/ (pow alpha 2) (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2)))) (/ 1 (- (* -2 (/ alpha (+ 2 alpha))) 2)))
(* alpha (+ 2 alpha))
(+ (* alpha (+ 2 alpha)) (* beta (+ 2 (* 2 alpha))))
(+ (* alpha (+ 2 alpha)) (* beta (+ 2 (+ beta (* 2 alpha)))))
(/ 1 (* alpha (+ 2 alpha)))
(+ (* -1 (* beta (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))))) (/ 1 (* alpha (+ 2 alpha))))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (* alpha (+ 2 alpha)))) (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))))) (/ 1 (* alpha (+ 2 alpha))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (* alpha (+ 2 alpha)))) (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* alpha (+ 2 alpha)))) (* -1 (/ (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* alpha (+ 2 alpha))))))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (* alpha (+ 2 alpha)))) (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (+ (* 2 (/ 1 (* alpha (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (* (pow alpha 2) (pow (+ 2 alpha) 2))))))) (/ 1 (* alpha (+ 2 alpha))))
(* 4 beta)
(* beta (+ 4 (* 4 (/ 1 beta))))
(+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (/ (* alpha (+ 1 (/ 1 alpha))) beta) (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 3)))))
(/ -1 alpha)
(- (* -1 (/ (+ 1 (/ 1 alpha)) beta)) (/ 1 alpha))
(- (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(- (+ (* -1 (/ (+ 1 (/ 1 alpha)) (pow beta 3))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2)))) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* 2 beta)
(* beta (+ 2 (* 4 (/ 1 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))))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+ 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))))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))))
(+ 1 (/ 1 beta))
(- (+ 1 (/ 1 beta)) (/ 1 (pow beta 2)))
(- (+ 1 (+ (/ 1 beta) (/ 1 (pow beta 3)))) (/ 1 (pow beta 2)))
(/ 1 beta)
(/ (- 1 (/ 1 beta)) beta)
(/ (- (+ 1 (/ 1 (pow beta 2))) (/ 1 beta)) beta)
(/ (- (+ 1 (/ 1 (pow beta 2))) (+ (/ 1 beta) (/ 1 (pow beta 3)))) beta)
(* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (- alpha (* -1 (+ 2 alpha)))))
(- (+ (* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (- alpha (* -1 (+ 2 alpha))))) (* -1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (* beta (- alpha (* -1 (+ 2 alpha))))))) (* 1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* beta (- alpha (* -1 (+ 2 alpha)))))))
(- (+ (* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (- alpha (* -1 (+ 2 alpha))))) (+ (* -1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1 (/ (* (+ 2 alpha) (- (* -1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))))) (pow beta 2))) (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* beta (- alpha (* -1 (+ 2 alpha)))))))))
(- (+ (* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (- alpha (* -1 (+ 2 alpha))))) (+ (* -1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (* beta (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/2 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))))) (* (pow beta 3) (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha))))))))) (+ (* -1 (/ (* (+ 2 alpha) (- (* -1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))))) (pow beta 2))) (+ (* -1 (/ (* (+ 2 alpha) (- (* 1/2 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (- alpha (* -1 (+ 2 alpha))))) (+ (* -1 (* (+ 2 alpha) (- (* -1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- alpha (* -1 (+ 2 alpha)))))))) (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- alpha (* -1 (+ 2 alpha)))))))) (pow beta 3))) (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* beta (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 3) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* (pow beta 3) (- alpha (* -1 (+ 2 alpha)))))) (/ (* (pow (+ 2 alpha) 2) (- (* -1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))))) (pow beta 3))))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2))))))
(/ 1 (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 2 (* 2 alpha)) beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (* alpha (+ 2 alpha))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* alpha (* (+ 2 alpha) (+ 2 (* 2 alpha))))) (* -1 (* (+ 2 (* 2 alpha)) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (* alpha (+ 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 beta 2))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta))) beta)))
(- (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 alpha)) beta)) (/ 1 alpha))) beta)) (/ 1 alpha))
(- (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 alpha)) beta)) (/ 1 alpha))) beta)) (/ 1 alpha))) beta)) (/ 1 alpha))
(+ 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 (/ (- (+ 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 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) 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)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
(+ 1 (* -1 (/ (- (/ 1 beta) 1) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 beta) 1) beta)) 1) beta)))
(* -1 (/ (- (/ 1 beta) 1) beta))
(* -1 (/ (- (* -1 (/ (- (/ 1 beta) 1) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 beta) 1) beta)) 1) beta)) 1) beta))
(* 1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- alpha (* -1 (+ 2 alpha)))))
(+ (* -1 (/ (- (* 1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- alpha (* -1 (+ 2 alpha))))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))) (* (+ 2 alpha) (- (* 1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))))))) beta)) (* 1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- alpha (* -1 (+ 2 alpha))))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ (* 2 (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 3) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))) (+ (* (+ 2 alpha) (- (* -1/2 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))) (* (+ 2 alpha) (- (* 1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha)))))))))) (* (pow (+ 2 alpha) 2) (- (* 1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha)))))))))) beta)) (* -1/2 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))) (* (+ 2 alpha) (- (* 1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha))))))))) beta)) (* 1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- alpha (* -1 (+ 2 alpha))))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (/ (* alpha (+ 2 alpha)) beta)))) beta))))
(/ (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 2 alpha) beta)))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2) beta)) (/ (* alpha (+ 2 alpha)) beta)) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (* (+ 2 alpha) (+ (* -1 alpha) (* -1 (+ 2 alpha))))) beta)) (* -1 (/ (* (+ (* -1 alpha) (* -1 (+ 2 alpha))) (+ (* -1 (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) (* alpha (+ 2 alpha)))) beta))) (+ (* -1 (pow (+ (* -1 alpha) (* -1 (+ 2 alpha))) 2)) (* alpha (+ 2 alpha)))) beta)) (+ (* -1 alpha) (* -1 (+ 2 alpha)))) beta))) (pow beta 2))

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

rewrite223.0ms (2.4%)

Memory

5.5MiB live, 247.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	570
0	106	541
1	602	527
2	5923	527
0	9366	513

Stop Event

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

Counts

24 → 365

Calls

Call 1

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

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

eval96.0ms (1%)

Memory: -16.6MiB live, 211.6MiB allocated
Compiler: Compiled 47 794 to 3 390 computations (92.9% saved)

prune59.0ms (0.6%)

Memory

-5.1MiB live, 119.3MiB allocated

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	604	8	612
Fresh	4	5	9
Picked	2	3	5
Done	0	3	3
Total	610	19	629

Accuracy

100.0%

Counts

629 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.1%	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
	68.2%	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64))
	45.9%	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
	69.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) #s(approx (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))) #s(literal 1 binary64))))))
	34.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) #s(approx (* (neg alpha) (- (neg (/ (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))))) (+.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64)))))
✓	68.9%	#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)))
	44.0%	#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
	43.0%	#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
	43.8%	#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
	27.8%	#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
	46.0%	#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
✓	32.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	26.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
	15.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 (fma.f64 alpha beta alpha) (*.f64 alpha alpha))))
✓	9.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
✓	32.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
	32.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) alpha)) beta)))
✓	34.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	47.8%	#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)))

Compiler

Compiled 2 513 to 749 computations (70.2% saved)

regimes76.0ms (0.8%)

Memory

24.3MiB live, 143.3MiB allocated

Counts

52 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) 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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 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) (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) #s(approx (/ (+ 1 beta) alpha) (/.f64 (fma.f64 alpha beta alpha) (*.f64 alpha alpha))))
#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)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) beta))))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 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 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) #s(approx (* (neg alpha) (- (neg (/ (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))))) (+.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) #s(approx (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) alpha)) beta)))
(/.f64 (fma.f64 #s(approx (* (+ alpha beta) (- beta alpha)) (.f64 (neg.f64 alpha) alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #s(literal 1 binary64)) #s(literal 2 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 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #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 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) (+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))) alpha)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))))))
(/.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 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) alpha #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.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)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (-.f64 beta alpha) (+.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))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (/.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 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 beta 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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (pow.f64 (-.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -2 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (neg.f64 (/.f64 (fma.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (neg.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha)) #s(literal 1/2 binary64) (.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) (neg.f64 beta))))) alpha))) alpha))) alpha)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))) #s(literal -2 binary64) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 (.f64 beta beta) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64))))) alpha)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))))))
#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 (fma.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs

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

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

Calls

5 calls:

18.0ms	alpha
15.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
14.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
14.0ms	beta
12.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
96.7%	2	`alpha`
99.8%	2	`beta`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes39.0ms (0.4%)

Memory

-17.1MiB live, 57.6MiB allocated

Counts

38 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) 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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 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) (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) #s(approx (/ (+ 1 beta) alpha) (/.f64 (fma.f64 alpha beta alpha) (*.f64 alpha alpha))))
#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)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) beta))))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 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 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) #s(approx (* (neg alpha) (- (neg (/ (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))))) (+.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) #s(approx (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) alpha)) beta)))
(/.f64 (fma.f64 #s(approx (* (+ alpha beta) (- beta alpha)) (.f64 (neg.f64 alpha) alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #s(literal 1 binary64)) #s(literal 2 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 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #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 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) (+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))) alpha)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))))))
(/.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 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))))

Outputs

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

(/.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))

Calls

3 calls:

14.0ms

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

14.0ms

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

8.0ms

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

Results

Accuracy	Segments	Branch
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes44.0ms (0.5%)

Memory

-9.0MiB live, 74.3MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) 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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 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) (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) #s(approx (/ (+ 1 beta) alpha) (/.f64 (fma.f64 alpha beta alpha) (*.f64 alpha alpha))))
#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)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) beta))))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 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 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) #s(approx (* (neg alpha) (- (neg (/ (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))))) (+.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) #s(approx (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) alpha)) beta)))
(/.f64 (fma.f64 #s(approx (* (+ alpha beta) (- beta alpha)) (.f64 (neg.f64 alpha) alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #s(literal 1 binary64)) #s(literal 2 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 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #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 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 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 (-.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))

Calls

4 calls:

13.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
10.0ms	beta
8.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
8.0ms	(/.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
96.0%	2	`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 34 to 28 computations (17.6% saved)

regimes26.0ms (0.3%)

Memory

11.1MiB live, 49.8MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) 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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 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) (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) #s(approx (/ (+ 1 beta) alpha) (/.f64 (fma.f64 alpha beta alpha) (*.f64 alpha alpha))))
#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)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) beta))))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 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 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) #s(approx (* (neg alpha) (- (neg (/ (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))))) (+.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) #s(approx (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) alpha)) beta)))
(/.f64 (fma.f64 #s(approx (* (+ alpha beta) (- beta alpha)) (.f64 (neg.f64 alpha) alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #s(literal 1 binary64)) #s(literal 2 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 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #s(literal 1 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))

(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:

9.0ms

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

8.0ms

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

7.0ms

(+.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)

regimes22.0ms (0.2%)

Memory

3.8MiB live, 42.5MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) 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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 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) (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) #s(approx (/ (+ 1 beta) alpha) (/.f64 (fma.f64 alpha beta alpha) (*.f64 alpha alpha))))
#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)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) beta))))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 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 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) #s(approx (* (neg alpha) (- (neg (/ (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) alpha)) (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))))) (+.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) #s(approx (/ 4 (+ (* 2 beta) (* 2 (+ 2 beta)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) alpha)) beta)))
(/.f64 (fma.f64 #s(approx (* (+ alpha beta) (- beta alpha)) (.f64 (neg.f64 alpha) alpha)) (/.f64 #s(literal 1 binary64) #s(approx ( (+ alpha beta) (+ 2 (+ alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs

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

8.0ms

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

7.0ms

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

6.0ms

(+.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)

regimes19.0ms (0.2%)

Memory

-9.6MiB live, 34.6MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) 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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 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) (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) #s(approx (/ (+ 1 beta) alpha) (/.f64 (fma.f64 alpha beta alpha) (*.f64 alpha alpha))))
#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)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) beta))))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 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) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 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:

8.0ms

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

5.0ms

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

5.0ms

(+.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)

regimes18.0ms (0.2%)

Memory

-5.5MiB live, 33.2MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) 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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 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) (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) #s(approx (/ (+ 1 beta) alpha) (/.f64 (fma.f64 alpha beta alpha) (*.f64 alpha alpha))))
#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)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) beta))))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Outputs

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

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

Calls

3 calls:

7.0ms

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

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.4%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.4%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes14.0ms (0.1%)

Memory

37.9MiB live, 37.9MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) 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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 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) (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) #s(approx (/ (+ 1 beta) alpha) (/.f64 (fma.f64 alpha beta alpha) (*.f64 alpha alpha))))
#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)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) 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) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #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 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 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))

Results

Accuracy	Segments	Branch
98.4%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.4%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.4%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes15.0ms (0.2%)

Memory

-36.2MiB live, 42.7MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) 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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 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) (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) #s(approx (/ (+ 1 beta) alpha) (/.f64 (fma.f64 alpha beta alpha) (*.f64 alpha alpha))))
#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)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #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 (/ (+ (/ (- 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:

5.0ms

(/.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 beta alpha) (+.f64 (+.f64 alpha beta) #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
97.7%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.7%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.7%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes20.0ms (0.2%)

Memory

-0.7MiB live, 48.2MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) 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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 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)))

Outputs

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

#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))

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

Calls

5 calls:

7.0ms	beta
4.0ms	alpha
3.0ms	(/.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
68.9%	2	`beta`
75.8%	2	`alpha`
97.2%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.2%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.2%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes9.0ms (0.1%)

Memory

-8.4MiB live, 30.9MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) 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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))

Outputs

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

#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))

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

Calls

3 calls:

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 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))

Results

Accuracy	Segments	Branch
97.1%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.1%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.1%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes8.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))

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

Calls

3 calls:

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
96.9%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
96.9%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.9%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes7.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))

Outputs

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

#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))

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

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
90.5%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
90.5%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
90.5%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes8.0ms (0.1%)

Memory

-24.2MiB live, 14.8MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

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))

Results

Accuracy	Segments	Branch
89.9%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
89.9%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
89.9%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes8.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

2.0ms	alpha
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
54.8%	3	`alpha`
73.0%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
73.0%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
73.0%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes7.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
67.5%	2	`beta`
67.4%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
67.4%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
67.4%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes37.0ms (0.4%)

Memory

-25.8MiB live, 13.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

4 calls:

33.0ms	beta
1.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 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))

Results

Accuracy	Segments	Branch
66.2%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
66.2%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
66.2%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
66.2%	2	`beta`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes6.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	alpha
1.0ms	beta
1.0ms	(/.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
34.7%	1	`alpha`
34.7%	1	`beta`
34.7%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
34.7%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
34.7%	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

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9996938660952245	-0.9991074269953996

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9996938660952245	-0.9991074269953996

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999939422659	-0.9999966358065605

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999939422659	-0.9999966358065605

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999934617	-0.9999999939422659

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999934617	-0.9999999939422659

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9433530500535358	-0.03271644552313695

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9433530500535358	-0.03271644552313695

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9433530500535358	-0.03271644552313695

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0007219303786676287	0.9903743172416978
0.0ms	-0.9433530500535358	-0.03271644552313695

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0007219303786676287	0.9903743172416978
0.0ms	-0.9433530500535358	-0.03271644552313695

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0007219303786676287	0.9903743172416978
0.0ms	-0.9433530500535358	-0.03271644552313695

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0007219303786676287	0.9903743172416978
0.0ms	-0.9433530500535358	-0.03271644552313695

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0007219303786676287	0.9903743172416978
0.0ms	-0.9433530500535358	-0.03271644552313695

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0007219303786676287	0.9903743172416978
0.0ms	-1.0	-0.9999999999998505

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch64.0ms (0.7%)

Memory

-16.7MiB live, 24.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
61.0ms	0.40775464956100527	205.77746890473637

Samples

5.0ms	88×	0	valid
3.0ms	16×	2	valid
3.0ms	24×	1	valid

Compiler

Compiled 408 to 295 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 3.0ms (39.1% of total)

ival-div: 2.0ms (26.1% of total)

adjust: 1.0ms (13% of total)

ival-sub: 1.0ms (13% of total)

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

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

exact: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0007219303786676287	0.9903743172416978

Samples

4.0ms

128×

valid

Compiler

Compiled 384 to 280 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (58.2% of total)

ival-add: 1.0ms (58.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify88.0ms (1%)

Memory

-21.2MiB live, 94.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1392
1	207	1392
2	258	1388
3	329	1388
4	400	1388
5	473	1388
6	543	1388
7	650	1388
8	811	1388
9	934	1388
10	1080	1388
11	1183	1388
12	1254	1388
13	1292	1388
14	1320	1388
15	1338	1388
16	1351	1388
17	1363	1388
18	1370	1388
19	1376	1388

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))))))) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) alpha #s(literal -1 binary64))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))))))) (/.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)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007181240342483/9007199254740992 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 (-.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)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007181240342483/9007199254740992 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 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 -2251799802426249/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 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 -2251799802426249/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 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) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) 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)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) 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 -1/2 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 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.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)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.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)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 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 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 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 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) #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 -4501347827556811/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))))))) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) alpha #s(literal -1 binary64))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (+.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 #s(approx (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) alpha))) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) alpha #s(literal -1 binary64))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 #s(approx (+ ( (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))))))) (/.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)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1)) (.f64 (+.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 #s(approx (+ (* (/ (- beta (+ -2 (neg beta))) (+ (* 2 beta) (* 2 (+ 2 beta)))) -2) (* 4 (/ (- (* beta beta) (+ (* (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ 2 beta)) -2) (pow (+ 2 beta) 2))) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)))) #s(literal 2 binary64)) alpha)) alpha))) (/.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)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007181240342483/9007199254740992 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 (-.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)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007181240342483/9007199254740992 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 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)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007181240342483/9007199254740992 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 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 -9007181240342483/9007199254740992 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 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 -2251799802426249/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 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 -2251799802426249/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (-.f64 (/.f64 beta alpha) (/.f64 #s(literal -1 binary64) 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 -2251799802426249/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 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 -2251799802426249/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (-.f64 (/.f64 beta alpha) (/.f64 #s(literal -1 binary64) 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) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #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) #s(approx (/ (+ 1 beta) alpha) (-.f64 (/.f64 beta alpha) (/.f64 #s(literal -1 binary64) alpha)))) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) 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)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #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)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) 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 -1/2 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 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.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 -1/2 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 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.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)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.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 -1/2 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 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (-.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)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #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)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 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 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #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 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 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 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #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 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #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 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) #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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) #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))

soundness1.4s (15.6%)

Memory

13.1MiB live, 1 212.0MiB 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	433	2206
1	1394	2067
2	4570	1878
0	8653	1750
0	36	270
0	62	240
1	332	238
2	3189	238
0	9169	238
0	1593	9362
1	5346	8850
0	8308	8384
0	2153	23487
1	7131	23487
0	8407	21976
0	1281	10494
1	4335	9944
0	8755	9381

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node 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 2 594 to 846 computations (67.4% saved)

preprocess117.0ms (1.3%)

Memory: 3.2MiB live, 160.1MiB allocated
Compiler: Compiled 2 802 to 360 computations (87.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample1.6s (17.4%)

explain318.0ms (3.5%)

preprocess334.0ms (3.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify132.0ms (1.4%)

localize65.0ms (0.7%)

series12.0ms (0.1%)

simplify210.0ms (2.3%)

rewrite214.0ms (2.3%)

eval98.0ms (1.1%)

prune30.0ms (0.3%)

simplify151.0ms (1.6%)

localize173.0ms (1.9%)

series189.0ms (2.1%)

simplify310.0ms (3.4%)

rewrite260.0ms (2.8%)

eval386.0ms (4.2%)

prune81.0ms (0.9%)

simplify213.0ms (2.3%)

localize369.0ms (4%)

series79.0ms (0.9%)

simplify192.0ms (2.1%)

rewrite207.0ms (2.2%)

eval225.0ms (2.4%)

prune28.0ms (0.3%)

simplify177.0ms (1.9%)

localize304.0ms (3.3%)

series56.0ms (0.6%)

simplify303.0ms (3.3%)

rewrite223.0ms (2.4%)

eval96.0ms (1%)

prune59.0ms (0.6%)

regimes76.0ms (0.8%)

regimes39.0ms (0.4%)

regimes44.0ms (0.5%)

regimes26.0ms (0.3%)

regimes22.0ms (0.2%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes14.0ms (0.1%)

regimes15.0ms (0.2%)

regimes20.0ms (0.2%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes37.0ms (0.4%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch64.0ms (0.7%)

bsearch11.0ms (0.1%)

simplify88.0ms (1%)

soundness1.4s (15.6%)

preprocess117.0ms (1.3%)

end0.0ms (0%)

Profiling