Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze25.0ms (0.3%)

Memory

-35.5MiB live, 3.4MiB 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)

sample1.3s (16.6%)

Memory

72.9MiB live, 1 585.3MiB allocated

Samples

499.0ms	6 076×	0	valid
218.0ms	1 482×	1	valid
175.0ms	698×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 632.0ms

ival-add: 246.0ms (38.9% of total)

ival-div: 133.0ms (21% of total)

adjust: 106.0ms (16.8% of total)

ival-sub: 80.0ms (12.7% of total)

ival->: 40.0ms (6.3% of total)

exact: 13.0ms (2.1% of total)

ival-and: 10.0ms (1.6% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain217.0ms (2.8%)

Memory

-32.8MiB live, 190.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`	cancellation	81	0

Confusion

	Predicted +	Predicted -
+	81	0
-	0	175

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	0
-	0	0	175

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	175
1	81

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms	92×	1	valid
27.0ms	62×	2	valid
22.0ms	358×	0	valid

Compiler

Compiled 113 to 34 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

adjust: 30.0ms (56.4% of total)

ival-add: 10.0ms (18.8% of total)

ival-div: 9.0ms (16.9% of total)

ival-sub: 4.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess213.0ms (2.7%)

Memory

8.5MiB live, 168.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	73
1	69	73
2	143	73
3	231	73
4	391	73
5	824	71
6	1602	69
7	2893	69
8	5038	69
9	7368	69
0	10	13
0	16	13
1	31	13
2	48	13
3	63	13
4	97	13
5	179	13
6	373	13
7	764	13
8	1175	13
9	2235	13
10	3693	13
11	4964	13
12	6022	13
13	6870	13
14	7404	13
15	7716	13
0	8470	12

Stop Event

1×	iter limit
1×	node limit
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))

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

simplify163.0ms (2.1%)

Memory

5.5MiB live, 88.7MiB 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	1	(/.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	31	48
2	48	48
3	63	48
4	97	48
5	179	48
6	373	48
7	764	48
8	1175	48
9	2235	48
10	3693	48
11	4964	48
12	6022	48
13	6870	48
14	7404	48
15	7716	48
0	8470	47

Stop Event

1×	iter limit
1×	node limit
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))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 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 #s(literal 2 binary64) (+.f64 alpha beta)))
(-.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 alpha beta)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize99.0ms (1.3%)

Memory

-27.2MiB live, 48.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0.0	(+.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

38.0ms	31×	2	valid
11.0ms	179×	0	valid
6.0ms	46×	1	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 4.0ms (28.6% of total)

ival-add: 4.0ms (28.6% of total)

adjust: 3.0ms (21.4% of total)

ival-sub: 2.0ms (14.3% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB 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))

simplify203.0ms (2.6%)

Memory

-0.4MiB live, 117.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2178
1	1507	2045
2	5969	1957
0	8060	1860

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

rewrite273.0ms (3.5%)

Memory

-14.0MiB live, 109.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	16	44
1	86	44
2	628	44
0	8529	43

Stop Event

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

Counts

6 → 438

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 alpha beta) #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (pow.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 (-.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (+.f64 (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 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)))
(/.f64 (+.f64 #s(literal 512 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (+.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 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (neg.f64 (-.f64 (+.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 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (+.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)))
(neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(fma.f64 (/.f64 #s(literal 8 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (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))))
(fma.f64 (/.f64 #s(literal 8 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))) (/.f64 (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))))
(fma.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(fma.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) #s(literal 2 binary64))
(fma.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 2 binary64))
(fma.f64 (/.f64 (.f64 (-.f64 alpha beta) (+.f64 alpha beta)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 2 binary64))
(fma.f64 (/.f64 (.f64 (-.f64 alpha beta) (+.f64 alpha beta)) (.f64 (-.f64 alpha beta) (+.f64 alpha beta))) (+.f64 alpha beta) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (pow.f64 alpha #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 beta alpha) beta) #s(literal 2 binary64)))) (-.f64 (.f64 alpha alpha) (*.f64 (-.f64 beta alpha) beta)) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 beta alpha) beta) (-.f64 (.f64 (-.f64 beta alpha) beta) (.f64 alpha alpha)) (pow.f64 alpha #s(literal 4 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (-.f64 (pow.f64 alpha #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 beta alpha) beta) #s(literal 2 binary64)))) (-.f64 (.f64 alpha alpha) (.f64 (-.f64 beta alpha) beta)) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) #s(literal 2 binary64)))
(fma.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 beta alpha) beta) (-.f64 (.f64 (-.f64 beta alpha) beta) (.f64 alpha alpha)) (pow.f64 alpha #s(literal 4 binary64))) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (+.f64 alpha beta) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))))) (/.f64 (-.f64 beta alpha) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)) (neg.f64 (+.f64 alpha beta)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(fma.f64 (pow.f64 alpha #s(literal 3/2 binary64)) (/.f64 (pow.f64 alpha #s(literal 3/2 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha)) (/.f64 (+.f64 alpha beta) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) #s(literal 2 binary64))
(fma.f64 (.f64 alpha alpha) (/.f64 alpha (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(fma.f64 (+.f64 alpha beta) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (-.f64 beta alpha)) #s(literal 2 binary64))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 alpha beta) (-.f64 alpha beta)) #s(literal 2 binary64))
(fma.f64 alpha (/.f64 (.f64 alpha alpha) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 2 binary64) (.f64 alpha (/.f64 alpha (-.f64 alpha beta)))) (.f64 beta (/.f64 beta (-.f64 alpha 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 (-.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (-.f64 alpha beta) #s(literal 2 binary64))))
(-.f64 (.f64 alpha (/.f64 alpha (-.f64 alpha beta))) (-.f64 (.f64 beta (/.f64 beta (-.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 #s(literal 2 binary64) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha)))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))))
(+.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (.f64 alpha alpha))))
(+.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64))))
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)
(+.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(+.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 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 (+.f64 #s(literal 2 binary64) beta))
(+.f64 beta (+.f64 #s(literal 2 binary64) alpha))

eval111.0ms (1.4%)

Memory: 24.1MiB live, 96.9MiB allocated
Compiler: Compiled 19 030 to 2 499 computations (86.9% saved)

prune41.0ms (0.5%)

Memory

-25.7MiB live, 26.3MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	505	16	521
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	506	16	522

Accuracy

99.9%

Counts

522 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (/.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
▶	71.6%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	43.6%	(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	53.0%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	71.5%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
	71.2%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	47.2%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	71.6%	(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
	47.2%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	29.0%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 alpha)) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (+.f64 #s(literal 2 binary64) beta)) beta) (neg.f64 alpha))) #s(literal 2 binary64))
	68.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
	32.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	30.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 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 1 172 to 562 computations (52% saved)

simplify144.0ms (1.8%)

Memory

34.8MiB live, 187.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))
cost-diff	0	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	0	(+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))
cost-diff	1	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (/.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	0	(fma.f64 (/.f64 (-.f64 beta alpha) (+.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 (-.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
cost-diff	6	(+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
cost-diff	6	(-.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
cost-diff	24	(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	462
0	82	462
1	179	462
2	536	426
3	2383	404
0	8494	400

Stop Event

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

Calls

Call 1

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

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

localize201.0ms (2.6%)

Memory

-17.7MiB live, 377.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha))
accuracy	0.06478500976844201	(pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))
accuracy	6.970276933046231	(/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))
accuracy	26.15430133781995	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64))
accuracy	0.0	(+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))
accuracy	0.025722509768442016	(pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))
accuracy	6.958558183046231	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))
accuracy	26.158948145200448	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (/.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
accuracy	0.0	(+.f64 alpha beta)
accuracy	0.0	(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
accuracy	0.02734375	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	18.17823984272699	(fma.f64 (/.f64 (-.f64 beta alpha) (+.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	0.05078125	(*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
accuracy	0.0625	(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
accuracy	0.06640625	(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
accuracy	18.155656179591354	(-.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))

Samples

61.0ms	179×	0	valid
59.0ms	32×	2	valid
35.0ms	45×	1	valid

Compiler

Compiled 472 to 50 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-pow: 32.0ms (27.2% of total)

ival-add: 25.0ms (21.2% of total)

ival-div: 22.0ms (18.7% of total)

ival-mult: 15.0ms (12.7% of total)

adjust: 13.0ms (11% of total)

ival-sub: 6.0ms (5.1% of total)

ival-pow2: 3.0ms (2.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series106.0ms (1.3%)

Memory

18.2MiB live, 216.3MiB allocated

Counts

21 → 354

Calls

Call 1

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

Outputs
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))))))))
(pow (+ 1 (/ beta (+ 2 beta))) 2)
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ beta (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* alpha (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4))))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ 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))))))))))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ 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 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
beta
(+ beta (* -1 alpha))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 1/2 (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3)))))
(+ 1/2 (+ (* 1/2 (* alpha (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* 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 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* 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 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* 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 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* 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))) (+ (/ (* beta (+ 4 (* beta (- beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* 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 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* 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 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))))))))))))
(/ beta (+ 8 (pow beta 3)))
(+ (* -1 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ beta (* 2 beta)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (pow beta 2)) (pow beta 2))) (+ 8 (pow beta 3)))) (/ beta (pow (+ 8 (pow beta 3)) 2)))))) (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3))))
(+ 8 (pow beta 3))
(+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3)))
(+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3)))
(+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3)))
(+ (* 1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (* 2 (/ 1 (pow (+ 2 beta) 3)))))) (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (* 2 (/ 1 (pow (+ 2 beta) 3))))))))))
(+ 1 (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (* 2 (/ 1 (pow (+ 2 beta) 3)))))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (+ (* 2 (/ 1 (pow (+ 2 beta) 3))) (* 2 (/ beta (pow (+ 2 beta) 3))))))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(/ beta (pow (+ 2 beta) 3))
(+ (* -1 (/ alpha (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))
(+ (* alpha (- (* -1 (/ (* (pow alpha 2) beta) (pow (+ 2 beta) 6))) (/ 1 (pow (+ 2 beta) 3)))) (/ beta (pow (+ 2 beta) 3)))
(+ (* alpha (- (* (pow alpha 2) (- (/ alpha (pow (+ 2 beta) 6)) (/ beta (pow (+ 2 beta) 6)))) (/ 1 (pow (+ 2 beta) 3)))) (/ beta (pow (+ 2 beta) 3)))
(/ (pow alpha 2) (pow (+ 2 beta) 2))
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))))) (/ (pow beta 2) (pow (+ 2 beta) 4))))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ alpha beta)
(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))
(pow (+ 2 beta) 2)
(+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2))
(+ (* alpha (+ alpha (* -1 (+ 2 beta)))) (pow (+ 2 beta) 2))
(* 1/4 (/ (+ 4 (* 4 beta)) alpha))
(/ (+ (* 1/4 (+ 4 (* 4 beta))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) alpha))) alpha)
(/ (+ (* 1/4 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) alpha)) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))))) (pow alpha 2))))) alpha)
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(/ (+ 4 (* 4 beta)) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 4 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))) alpha)
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(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (* 2 (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3))) (+ (* 4 beta) (+ (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3)) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha))))))))))))))) alpha)
2
(- 2 (* 2 (/ 1 alpha)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (pow alpha 2)))) (* 2 (/ 1 alpha)))
(- (+ 2 (* -1 (/ (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ (* beta (+ 2 beta)) (pow alpha 2)))))
(* 1/2 (/ (+ 4 (* 4 beta)) alpha))
(/ (- (+ (* 1/2 (+ 4 (* 4 beta))) (* 1/2 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha))) (* -1/2 (/ (+ 4 (* 4 beta)) alpha))) alpha)
(/ (- (+ (* 1/2 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (/ (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2)))))) (pow alpha 2))))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) (pow alpha 2))) (+ (* -1/2 (/ (+ 4 (* 4 beta)) alpha)) (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2)))))) alpha)
(/ (- (+ (* 1/2 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ (* 1/2 (/ (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2)))))) (pow alpha 3))) (* 1/2 (/ (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2)))))) (pow alpha 2)))))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) (pow alpha 2))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))))) (pow alpha 3))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (pow alpha 3))) (+ (* -1/2 (/ (+ 4 (* 4 beta)) alpha)) (+ (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (pow alpha 3))) (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2))))))))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* 1/2 (/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha))
(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (* 1/2 (/ (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))) alpha)
(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ 4 (* beta (- beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (+ 4 (* beta (- beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ 4 (* beta (- beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))))) alpha)
(/ -1 (pow alpha 2))
(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ beta (* 2 beta)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))))) (+ (* -1 (+ 8 (pow beta 3))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- beta (* -1 (+ beta (* 2 beta))))))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ (+ beta (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) (pow alpha 2))) (/ (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))) (pow alpha 2))
(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))) (+ (* 8 (/ 1 (pow alpha 3))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3)))))))))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 3))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) (pow alpha 3))) (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 3))) (pow alpha 2)))))) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/ (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))))))) (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2)))) alpha)
(/ (- (/ beta alpha) 1) (pow alpha 2))
(/ (- (+ (/ beta alpha) (/ (pow (+ 2 beta) 3) (pow alpha 3))) 1) (pow alpha 2))
(/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 4))) (/ beta alpha)) (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3))))) (pow alpha 2))
1
(+ 1 (* -1 (/ (+ 4 (* 2 beta)) alpha)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(+ 1 (* 2 (/ beta alpha)))
(+ 1 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(+ 1 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 3))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2)))))))
(* alpha (+ 1 (/ 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 beta 3) (pow alpha 3))))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(* (pow alpha 2) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))
(* -1/4 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) alpha)) (* 1/4 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))) alpha)) (* 1/2 (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* 1/4 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (+ 2 beta) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3))))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2))))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 3) (* beta (pow (+ 2 beta) 2))))) (+ (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))))) (* 1/2 (* (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta)))))))) alpha)) (* 1/2 (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))))) alpha)) (* 1/2 (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* 1/4 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)))) alpha))
(* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3))))) alpha)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) alpha)))) alpha))
(* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* -1 (/ (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (+ 2 beta) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3))))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2)))))) alpha)) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) alpha)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) alpha)))) alpha))
(+ 2 (* -1 (/ (+ 2 (+ beta (* -1 beta))) alpha)))
(+ 2 (* -1 (/ (+ 2 (+ beta (+ (* -1 beta) (* -1 (/ (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))) alpha))))) alpha)))
(+ 2 (* -1 (/ (+ 2 (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (pow (+ 2 beta) 3) (* beta (pow (+ 2 beta) 2))) alpha)) (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))))) alpha)))
(* -1/2 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
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(/ (pow alpha 2) (pow (+ 2 alpha) 2))
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8
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4
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(* beta (+ 1 (* -1 (/ alpha beta))))
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(/ 1 (pow beta 2))
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 3)))) (pow beta 3))))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow beta 2)) (/ (pow alpha 2) (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)))))))
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(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (- 4 alpha)) (pow beta 2))) (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (/ (pow alpha 2) (pow beta 2)))))) (+ (* 6 (/ (- (* -1 alpha) (+ 2 alpha)) (pow beta 2))) (+ (* 2 (/ 1 beta)) (+ (/ 12 (pow beta 2)) (/ alpha beta)))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (pow beta 3))) (+ (* -1 (/ (* alpha (- 4 alpha)) (pow beta 2))) (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (/ (pow alpha 2) (pow beta 2))))))) (+ (* 6 (/ (- (* -1 alpha) (+ 2 alpha)) (pow beta 2))) (+ (* 6 (/ (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 12 (* 6 (- (* -1 alpha) (+ 2 alpha))))) (pow beta 3))) (+ (* 12 (/ (- (* -1 alpha) (+ 2 alpha)) (pow beta 3))) (+ (* 2 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (+ (/ 12 (pow beta 2)) (+ (/ alpha beta) (/ (pow alpha 3) (pow beta 3))))))))))
(/ (- (+ 1 (* -1 (/ alpha beta))) (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 12 (* 6 (- (* -1 alpha) 6))) (pow beta 2))))) (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 8 (+ (* -6 (+ 12 (* 6 (- (* -1 alpha) 6)))) (+ (* 12 (- (* -1 alpha) 6)) (pow alpha 3)))) (pow beta 3))))) (+ (* 6 (/ (- (* -1 alpha) 6) (pow beta 2))) (+ (* 6 (/ 1 beta)) (/ 12 (pow beta 2))))) (pow beta 2))
(/ (pow alpha 2) (pow beta 2))
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2))
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* -4 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* -2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))
(* beta (+ 1 (/ 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 alpha 3) (pow beta 3))))))))
(* (pow beta 3) (+ 1 (* 6 (/ 1 beta))))
(* (pow beta 3) (+ 1 (+ (* 6 (/ 1 beta)) (/ 12 (pow beta 2)))))
(* (pow beta 3) (+ 1 (+ (* 6 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (/ 12 (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (- (+ 1 (* 4 (/ 1 beta))) (/ alpha beta)))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (+ (* 4 (/ 1 beta)) (/ (pow alpha 2) (pow beta 2))))) (/ alpha beta)))
(+ 1 (* -1/2 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (* 1/2 (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3))) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (pow alpha 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ alpha (* -1 alpha))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))) beta))))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (+ (* -1 (/ (- (pow (+ 2 alpha) 3) (* alpha (pow (+ 2 alpha) 2))) beta)) (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) beta))))) beta)))
(+ 2 (* -1 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha)))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 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 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 1 (* 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 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* -1 (/ (+ 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 (pow alpha 2))))) beta))) 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 (/ (+ 8 (pow alpha 3)) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))
(+ 1 (* 1/2 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (* 1/2 (/ (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)))) (* 1/2 (/ (- (* -1 (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (+ 8 (+ (* -6 (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)))) (+ (* 12 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (pow alpha 3))))) beta))) beta)) (* -1/2 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6))) beta)))
(- (+ 2 (* -1 (/ (- (+ alpha (* -1 (- 2 alpha))) 2) beta))) (* 6 (/ 1 beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (+ (* -1 (/ (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))) beta)) (* 12 (/ 1 beta)))) (* -6 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta))) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (* -1 (/ (- (+ (* -1 (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)))) (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) beta))) (+ (* -6 (/ (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6))) beta)) (+ (* 12 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta)) (+ (* 8 (/ 1 beta)) (/ (pow alpha 3) beta))))) beta))) beta)))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 alpha) 6)) (* 12 (/ 1 beta))) (* -6 (/ (- (* -1 alpha) 6) beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 6)) (* -1 (/ (+ (* -1 (- 12 (* -6 (- (* -1 alpha) 6)))) (* -1 (/ (+ 8 (+ (* -6 (- 12 (* -6 (- (* -1 alpha) 6)))) (+ (* 12 (- (* -1 alpha) 6)) (pow alpha 3)))) beta))) beta))) beta))) (pow beta 2))
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (pow (+ 2 alpha) 3) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 4 (+ 2 alpha))) beta)))
(* -1 (* beta (- (* -1 (/ 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)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 6 (* 12 (/ 1 beta))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 6 (+ (* 12 (/ 1 beta)) (/ 8 (pow beta 2)))) beta)) 1)))
(* (pow beta 2) (+ 1 (* -1 (/ (- (* -1 (- 2 alpha)) 2) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 (- 2 alpha)) (* -1 (/ (+ (* 2 (- 2 alpha)) (pow alpha 2)) beta))) 2) beta))))

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	alpha	@	inf	((/ (/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) 2) (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (/ (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4) 2)) 1/2) (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ 8 (pow (+ alpha beta) 3)) (/ (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) 2) (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (+ alpha beta) (pow (+ alpha beta) 3) (pow (+ 2 beta) 3) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha)))
16.0ms	beta	@	0	((/ (/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) 2) (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (/ (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4) 2)) 1/2) (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ 8 (pow (+ alpha beta) 3)) (/ (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) 2) (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (+ alpha beta) (pow (+ alpha beta) 3) (pow (+ 2 beta) 3) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha)))
16.0ms	beta	@	inf	((/ (/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) 2) (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (/ (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4) 2)) 1/2) (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ 8 (pow (+ alpha beta) 3)) (/ (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) 2) (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (+ alpha beta) (pow (+ alpha beta) 3) (pow (+ 2 beta) 3) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha)))
14.0ms	beta	@	-inf	((/ (/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) 2) (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (/ (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4) 2)) 1/2) (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ 8 (pow (+ alpha beta) 3)) (/ (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) 2) (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (+ alpha beta) (pow (+ alpha beta) 3) (pow (+ 2 beta) 3) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha)))
13.0ms	alpha	@	-inf	((/ (/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) 2) (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (/ (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4) 2)) 1/2) (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ 8 (pow (+ alpha beta) 3)) (/ (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) 2) (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (+ alpha beta) (pow (+ alpha beta) 3) (pow (+ 2 beta) 3) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha)))

simplify259.0ms (3.3%)

Memory

-12.6MiB live, 387.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2607	21545
0	8648	20261

Stop Event

1×	iter limit
1×	node limit

Counts

354 → 352

Calls

Call 1

Inputs
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))))
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2
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(/ (- (+ (* 1/2 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (/ (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2)))))) (pow alpha 2))))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) (pow alpha 2))) (+ (* -1/2 (/ (+ 4 (* 4 beta)) alpha)) (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2)))))) alpha)
(/ (- (+ (* 1/2 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ (* 1/2 (/ (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2)))))) (pow alpha 3))) (* 1/2 (/ (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2)))))) (pow alpha 2)))))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) (pow alpha 2))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))))) (pow alpha 3))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (pow alpha 3))) (+ (* -1/2 (/ (+ 4 (* 4 beta)) alpha)) (+ (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (pow alpha 3))) (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2))))))))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* 1/2 (/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha))
(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (* 1/2 (/ (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))) alpha)
(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ 4 (* beta (- beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (+ 4 (* beta (- beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ 4 (* beta (- beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))))) alpha)
(/ -1 (pow alpha 2))
(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ beta (* 2 beta)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))))) (+ (* -1 (+ 8 (pow beta 3))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- beta (* -1 (+ beta (* 2 beta))))))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ (+ beta (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) (pow alpha 2))) (/ (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))) (pow alpha 2))
(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))) (+ (* 8 (/ 1 (pow alpha 3))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3)))))))))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 3))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) (pow alpha 3))) (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 3))) (pow alpha 2)))))) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/ (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))))))) (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2)))) alpha)
(/ (- (/ beta alpha) 1) (pow alpha 2))
(/ (- (+ (/ beta alpha) (/ (pow (+ 2 beta) 3) (pow alpha 3))) 1) (pow alpha 2))
(/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 4))) (/ beta alpha)) (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3))))) (pow alpha 2))
1
(+ 1 (* -1 (/ (+ 4 (* 2 beta)) alpha)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(+ 1 (* 2 (/ beta alpha)))
(+ 1 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(+ 1 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 3))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2)))))))
(* alpha (+ 1 (/ 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 beta 3) (pow alpha 3))))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(* (pow alpha 2) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))
(* -1/4 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) alpha)) (* 1/4 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))) alpha)) (* 1/2 (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* 1/4 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (+ 2 beta) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3))))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2))))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 3) (* beta (pow (+ 2 beta) 2))))) (+ (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))))) (* 1/2 (* (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta)))))))) alpha)) (* 1/2 (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))))) alpha)) (* 1/2 (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* 1/4 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)))) alpha))
(* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3))))) alpha)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) alpha)))) alpha))
(* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* -1 (/ (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (+ 2 beta) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3))))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2)))))) alpha)) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) alpha)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) alpha)))) alpha))
(+ 2 (* -1 (/ (+ 2 (+ beta (* -1 beta))) alpha)))
(+ 2 (* -1 (/ (+ 2 (+ beta (+ (* -1 beta) (* -1 (/ (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))) alpha))))) alpha)))
(+ 2 (* -1 (/ (+ 2 (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (pow (+ 2 beta) 3) (* beta (pow (+ 2 beta) 2))) alpha)) (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))))) alpha)))
(* -1/2 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) alpha)) (* 1/2 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))) alpha)) (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) alpha)) (* 1/2 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (+ 2 beta) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3))))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2))))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 3) (* beta (pow (+ 2 beta) 2))))) (+ (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))))) (* 1/2 (* (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta)))))))) alpha)) (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3))))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))) alpha)) (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) alpha)) (* 1/2 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
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(/ (pow alpha 2) (pow (+ 2 alpha) 2))
(+ (* -1 (/ (* (pow alpha 2) (* beta (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 4))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
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(+ 1 (* 2 (/ beta (+ 2 alpha))))
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(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (+ beta (* 2 alpha)))) (pow alpha 2)))) (pow alpha 3))
8
(+ 8 (* 12 beta))
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4
(+ 4 (* -4 (/ (+ 2 alpha) beta)))
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(- 2 (* 2 (/ 1 beta)))
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(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
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(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
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(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (+ 4 (* alpha (- alpha 2))))) (+ 8 (+ (* (+ alpha (* 2 alpha)) (- (+ 4 (+ (* -1 (* alpha (- (* 2 alpha) 2))) (* alpha (- alpha 2)))) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))) (pow alpha 2))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha))) (pow alpha 3))))) (pow beta 3))) (* 1/2 (/ (- (+ 4 (+ (* -1 (* alpha (- (* 2 alpha) 2))) (* alpha (- alpha 2)))) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))) (pow alpha 2)))) (pow beta 2))))))
(/ 1 (pow beta 2))
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 3)))) (pow beta 3))))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow beta 2)) (/ (pow alpha 2) (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))) (+ (* 8 (/ 1 (pow beta 3))) (+ (/ alpha beta) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3)))))))))
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (* 1/2 (/ (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 12 (* 6 (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2)))))
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (+ 8 (+ (* 6 (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 12 (* 6 (- (* -1 alpha) (+ 2 alpha)))))) (+ (* 12 (- (* -1 alpha) (+ 2 alpha))) (pow alpha 3))))) (pow beta 3))) (* 1/2 (/ (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 12 (* 6 (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2))))))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (- 4 alpha)) (pow beta 2))) (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (/ (pow alpha 2) (pow beta 2)))))) (+ (* 6 (/ (- (* -1 alpha) (+ 2 alpha)) (pow beta 2))) (+ (* 2 (/ 1 beta)) (+ (/ 12 (pow beta 2)) (/ alpha beta)))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (pow beta 3))) (+ (* -1 (/ (* alpha (- 4 alpha)) (pow beta 2))) (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (/ (pow alpha 2) (pow beta 2))))))) (+ (* 6 (/ (- (* -1 alpha) (+ 2 alpha)) (pow beta 2))) (+ (* 6 (/ (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 12 (* 6 (- (* -1 alpha) (+ 2 alpha))))) (pow beta 3))) (+ (* 12 (/ (- (* -1 alpha) (+ 2 alpha)) (pow beta 3))) (+ (* 2 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (+ (/ 12 (pow beta 2)) (+ (/ alpha beta) (/ (pow alpha 3) (pow beta 3))))))))))
(/ (- (+ 1 (* -1 (/ alpha beta))) (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 12 (* 6 (- (* -1 alpha) 6))) (pow beta 2))))) (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 8 (+ (* -6 (+ 12 (* 6 (- (* -1 alpha) 6)))) (+ (* 12 (- (* -1 alpha) 6)) (pow alpha 3)))) (pow beta 3))))) (+ (* 6 (/ (- (* -1 alpha) 6) (pow beta 2))) (+ (* 6 (/ 1 beta)) (/ 12 (pow beta 2))))) (pow beta 2))
(/ (pow alpha 2) (pow beta 2))
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2))
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* -4 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* -2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))
(* beta (+ 1 (/ 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 alpha 3) (pow beta 3))))))))
(* (pow beta 3) (+ 1 (* 6 (/ 1 beta))))
(* (pow beta 3) (+ 1 (+ (* 6 (/ 1 beta)) (/ 12 (pow beta 2)))))
(* (pow beta 3) (+ 1 (+ (* 6 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (/ 12 (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (- (+ 1 (* 4 (/ 1 beta))) (/ alpha beta)))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (+ (* 4 (/ 1 beta)) (/ (pow alpha 2) (pow beta 2))))) (/ alpha beta)))
(+ 1 (* -1/2 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (* 1/2 (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3))) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (pow alpha 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ alpha (* -1 alpha))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))) beta))))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (+ (* -1 (/ (- (pow (+ 2 alpha) 3) (* alpha (pow (+ 2 alpha) 2))) beta)) (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) beta))))) beta)))
(+ 2 (* -1 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha)))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 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 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 1 (* 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 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* -1 (/ (+ 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 (pow alpha 2))))) beta))) 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 (/ (+ 8 (pow alpha 3)) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))
(+ 1 (* 1/2 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (* 1/2 (/ (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)))) (* 1/2 (/ (- (* -1 (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (+ 8 (+ (* -6 (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)))) (+ (* 12 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (pow alpha 3))))) beta))) beta)) (* -1/2 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6))) beta)))
(- (+ 2 (* -1 (/ (- (+ alpha (* -1 (- 2 alpha))) 2) beta))) (* 6 (/ 1 beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (+ (* -1 (/ (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))) beta)) (* 12 (/ 1 beta)))) (* -6 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta))) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (* -1 (/ (- (+ (* -1 (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)))) (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) beta))) (+ (* -6 (/ (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6))) beta)) (+ (* 12 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta)) (+ (* 8 (/ 1 beta)) (/ (pow alpha 3) beta))))) beta))) beta)))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 alpha) 6)) (* 12 (/ 1 beta))) (* -6 (/ (- (* -1 alpha) 6) beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 6)) (* -1 (/ (+ (* -1 (- 12 (* -6 (- (* -1 alpha) 6)))) (* -1 (/ (+ 8 (+ (* -6 (- 12 (* -6 (- (* -1 alpha) 6)))) (+ (* 12 (- (* -1 alpha) 6)) (pow alpha 3)))) beta))) beta))) beta))) (pow beta 2))
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (pow (+ 2 alpha) 3) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 4 (+ 2 alpha))) beta)))
(* -1 (* beta (- (* -1 (/ 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)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 6 (* 12 (/ 1 beta))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 6 (+ (* 12 (/ 1 beta)) (/ 8 (pow beta 2)))) beta)) 1)))
(* (pow beta 2) (+ 1 (* -1 (/ (- (* -1 (- 2 alpha)) 2) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 (- 2 alpha)) (* -1 (/ (+ (* 2 (- 2 alpha)) (pow alpha 2)) beta))) 2) beta))))

Outputs
(* 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 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 alpha (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))))
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))))))))
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(pow (+ 1 (/ beta (+ 2 beta))) 2)
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ beta (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
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(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (-.f64 (/.f64 (.f64 beta 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 2 binary64))))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
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(+ 1 (/ beta (+ 2 beta)))
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(+ 1 (+ (* alpha (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
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(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
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beta
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(fma.f64 alpha (-.f64 (.f64 (.f64 alpha alpha) (-.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))
(/ (pow alpha 2) (pow (+ 2 beta) 2))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
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(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
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(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
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(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
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(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))))) (/ (pow beta 2) (pow (+ 2 beta) 4))))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
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(+.f64 alpha beta)
(pow beta 3)
(pow.f64 beta #s(literal 3 binary64))
(+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3))
(fma.f64 alpha (.f64 #s(literal 3 binary64) (.f64 beta beta)) (pow.f64 beta #s(literal 3 binary64)))
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3))
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(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3))
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(pow (+ 2 beta) 2)
(pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))
(+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2))
(fma.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))
(+ (* alpha (+ alpha (* -1 (+ 2 beta)))) (pow (+ 2 beta) 2))
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(* 1/4 (/ (+ 4 (* 4 beta)) alpha))
(*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64)) alpha))
(/ (+ (* 1/4 (+ 4 (* 4 beta))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) alpha))) alpha)
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(/ (+ (* 1/4 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) alpha)) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))))) (pow alpha 2))))) alpha)
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(/ (+ (* 1/4 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) alpha)) (+ (* 1/2 (/ (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))))))) (+ (* -1/2 (* (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))))))) (pow alpha 3))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))))) (pow alpha 2)))))) alpha)
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8
#s(literal 8 binary64)
(+ 8 (* 12 beta))
(fma.f64 #s(literal 12 binary64) beta #s(literal 8 binary64))
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#s(literal 4 binary64)
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(- 2 (* 2 (/ 1 beta)))
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(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) alpha (neg.f64 (-.f64 alpha #s(literal 2 binary64))))) (.f64 #s(literal 3 binary64) alpha)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.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 -1 binary64) (fma.f64 (.f64 #s(literal 3 binary64) alpha) (-.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) alpha (neg.f64 (-.f64 alpha #s(literal 2 binary64))))) (.f64 #s(literal 3 binary64) alpha)) (.f64 alpha alpha)) (.f64 #s(literal -2 binary64) (.f64 alpha alpha)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 (.f64 (neg.f64 alpha) (fma.f64 alpha (-.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 3 binary64) alpha)) (-.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 -1 binary64) (fma.f64 (.f64 #s(literal 3 binary64) alpha) (-.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) alpha (neg.f64 (-.f64 alpha #s(literal 2 binary64))))) (.f64 #s(literal 3 binary64) alpha)) (.f64 alpha alpha)) (.f64 #s(literal -2 binary64) (.f64 alpha alpha)))) (fma.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 alpha alpha) #s(literal -3 binary64))) (-.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) alpha (neg.f64 (-.f64 alpha #s(literal 2 binary64))))) (*.f64 #s(literal 3 binary64) alpha)) (pow.f64 alpha #s(literal 3 binary64))))) beta))) beta))) beta) #s(literal 1 binary64))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (-.f64 (neg.f64 alpha) (.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 3 binary64) alpha) (-.f64 (neg.f64 alpha) (.f64 #s(literal 3 binary64) alpha)) (.f64 alpha alpha)) (.f64 #s(literal -2 binary64) (.f64 alpha alpha))) beta))) beta) #s(literal 1 binary64)) (.f64 beta beta))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* -1 (/ (+ 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 (pow alpha 2))))) beta))) beta))) (pow beta 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 alpha alpha) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 (fma.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 alpha alpha) #s(literal -3 binary64))) (-.f64 (neg.f64 alpha) (.f64 #s(literal 3 binary64) alpha)) (fma.f64 (.f64 #s(literal 3 binary64) alpha) (fma.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 3 binary64) alpha) (-.f64 (neg.f64 alpha) (.f64 #s(literal 3 binary64) alpha)) (.f64 alpha alpha)) (.f64 #s(literal -2 binary64) (.f64 alpha alpha))) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal 8 binary64)) beta) (.f64 alpha alpha)) (neg.f64 (.f64 (.f64 #s(literal 3 binary64) alpha) (-.f64 (neg.f64 alpha) (.f64 #s(literal 3 binary64) alpha)))))) beta) (neg.f64 (-.f64 (neg.f64 alpha) (.f64 #s(literal 3 binary64) alpha)))) beta) #s(literal 1 binary64)) (*.f64 beta beta))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (* 2 alpha)) beta)) 1)))
(neg.f64 (.f64 (pow.f64 beta #s(literal 3 binary64)) (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) (/.f64 alpha beta))) #s(literal 1 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(neg.f64 (.f64 (pow.f64 beta #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) alpha (neg.f64 (/.f64 (.f64 (*.f64 alpha alpha) #s(literal -3 binary64)) beta))) alpha) beta)) #s(literal 1 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (+ 8 (pow alpha 3)) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))
(neg.f64 (.f64 (pow.f64 beta #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) alpha (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 alpha alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal 8 binary64)) beta) (neg.f64 (*.f64 alpha alpha)))) beta))) alpha) beta)) #s(literal 1 binary64))))
(+ 1 (* 1/2 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)) beta) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (* 1/2 (/ (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6))) beta))) beta)))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) alpha) (fma.f64 alpha (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 alpha alpha))) #s(literal 12 binary64)) (*.f64 #s(literal -6 binary64) (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)))) beta))) beta) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)))) (* 1/2 (/ (- (* -1 (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (+ 8 (+ (* -6 (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)))) (+ (* 12 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (pow alpha 3))))) beta))) beta)) (* -1/2 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6))) beta)))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 (.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) alpha) (.f64 alpha alpha))) #s(literal 8 binary64)) (fma.f64 #s(literal -6 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) alpha) (fma.f64 alpha (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 alpha alpha))) #s(literal 12 binary64)) (.f64 #s(literal -6 binary64) (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 #s(literal 12 binary64) (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) beta) (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) alpha) (fma.f64 alpha (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 alpha alpha))) #s(literal 12 binary64)) (*.f64 #s(literal -6 binary64) (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)))))) beta))) beta) #s(literal 1 binary64))
(- (+ 2 (* -1 (/ (- (+ alpha (* -1 (- 2 alpha))) 2) beta))) (* 6 (/ 1 beta)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)) beta))
(+ 2 (* -1 (/ (- (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (+ (* -1 (/ (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))) beta)) (* 12 (/ 1 beta)))) (* -6 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta))) beta)))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) alpha) (fma.f64 alpha (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 alpha alpha))) beta) (/.f64 #s(literal 12 binary64) beta))) (.f64 #s(literal -6 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)) beta))) beta) #s(literal 2 binary64))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (* -1 (/ (- (+ (* -1 (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)))) (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) beta))) (+ (* -6 (/ (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6))) beta)) (+ (* 12 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta)) (+ (* 8 (/ 1 beta)) (/ (pow alpha 3) beta))))) beta))) beta)))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) alpha) (fma.f64 alpha (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 alpha alpha))) #s(literal 12 binary64)) (.f64 #s(literal -6 binary64) (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)))) (/.f64 (.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) alpha) (.f64 alpha alpha))) beta)) (fma.f64 #s(literal -6 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) alpha) (fma.f64 alpha (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 alpha alpha))) #s(literal 12 binary64)) (.f64 #s(literal -6 binary64) (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)))) beta) (fma.f64 #s(literal 12 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)) beta) (/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal 8 binary64)) beta)))) beta) (neg.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)))) beta) #s(literal 2 binary64))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 alpha) 6)) (* 12 (/ 1 beta))) (* -6 (/ (- (* -1 alpha) 6) beta))) beta))) (pow beta 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (neg.f64 alpha) #s(literal 6 binary64)) (/.f64 #s(literal 12 binary64) beta)) (.f64 #s(literal -6 binary64) (/.f64 (-.f64 (neg.f64 alpha) #s(literal 6 binary64)) beta))) beta) #s(literal 1 binary64)) (.f64 beta beta))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 6)) (* -1 (/ (+ (* -1 (- 12 (* -6 (- (* -1 alpha) 6)))) (* -1 (/ (+ 8 (+ (* -6 (- 12 (* -6 (- (* -1 alpha) 6)))) (+ (* 12 (- (* -1 alpha) 6)) (pow alpha 3)))) beta))) beta))) beta))) (pow beta 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal -6 binary64) (fma.f64 #s(literal 6 binary64) (-.f64 (neg.f64 alpha) #s(literal 6 binary64)) #s(literal 12 binary64)) (fma.f64 #s(literal 12 binary64) (-.f64 (neg.f64 alpha) #s(literal 6 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal 8 binary64)) beta) (neg.f64 (fma.f64 #s(literal 6 binary64) (-.f64 (neg.f64 alpha) #s(literal 6 binary64)) #s(literal 12 binary64)))) beta) (neg.f64 (-.f64 (neg.f64 alpha) #s(literal 6 binary64)))) beta) #s(literal 1 binary64)) (*.f64 beta beta))
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2))
(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 alpha alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) (.f64 alpha alpha)) (.f64 beta beta))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/.f64 (fma.f64 alpha alpha (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 (.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)) (.f64 #s(literal 2 binary64) (.f64 (.f64 alpha alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta))) (.f64 beta beta))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/.f64 (fma.f64 alpha alpha (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (.f64 #s(literal -3 binary64) (.f64 (.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta) (.f64 (.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta)))) (.f64 #s(literal -3 binary64) (.f64 (.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta) (.f64 #s(literal 2 binary64) (.f64 (.f64 alpha alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta))) (*.f64 beta beta))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) alpha) (neg.f64 (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta))) beta) #s(literal 4 binary64))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (pow (+ 2 alpha) 3) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 4 (+ 2 alpha))) beta)))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) alpha) (neg.f64 (/.f64 (fma.f64 #s(literal -6 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta))) beta) #s(literal 4 binary64))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) #s(literal 1 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)))
(neg.f64 (.f64 (pow.f64 beta #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) alpha (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 alpha alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) beta) (neg.f64 (*.f64 alpha alpha)))) beta))) alpha) beta)) #s(literal 1 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 6 (* 12 (/ 1 beta))) beta)) 1)))
(neg.f64 (*.f64 (pow.f64 beta #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 12 binary64) beta) #s(literal 6 binary64)) beta)) #s(literal 1 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 6 (+ (* 12 (/ 1 beta)) (/ 8 (pow beta 2)))) beta)) 1)))
(neg.f64 (.f64 (pow.f64 beta #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 beta beta)) (/.f64 #s(literal 12 binary64) beta)) #s(literal 6 binary64)) beta)) #s(literal 1 binary64))))
(* (pow beta 2) (+ 1 (* -1 (/ (- (* -1 (- 2 alpha)) 2) beta))))
(.f64 (.f64 beta beta) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 (- 2 alpha)) (* -1 (/ (+ (* 2 (- 2 alpha)) (pow alpha 2)) beta))) 2) beta))))
(.f64 (.f64 beta beta) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)) beta) (neg.f64 (-.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64)) beta) #s(literal 1 binary64)))

rewrite224.0ms (2.9%)

Memory

0.9MiB live, 272.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	351
0	82	335
1	420	251
2	3830	251
0	8164	251

Stop Event

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

Counts

21 → 546

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) (.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 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.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 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 6 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64))) (pow.f64 (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) #s(literal 2 binary64))) (*.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 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.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))))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.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)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.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 2 binary64)))
(neg.f64 (/.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 (*.f64 (/.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 beta alpha)) (-.f64 #s(literal 64 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)))) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 9 binary64)) #s(literal 512 binary64))) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 64 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 (/.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 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))))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 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))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.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 2 binary64))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (.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 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64)))) (/.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (+.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(*.f64 (+.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(*.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 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 6 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 6 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) #s(literal 2 binary64))))
(fma.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (exp.f64 (log1p.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (neg.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
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(exp.f64 (fma.f64 (log.f64 (+.f64 #s(literal 2 binary64) beta)) #s(literal 3/2 binary64) (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) beta)) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 #s(literal 2 binary64) beta)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal 2 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 2 binary64))))
(+.f64 (.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta))
(+.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 alpha #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (-.f64 (.f64 alpha alpha) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (pow.f64 alpha #s(literal 4 binary64)) (.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (neg.f64 alpha) alpha)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (pow.f64 alpha #s(literal 4 binary64)))) (neg.f64 (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (.f64 (neg.f64 alpha) alpha))))
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 alpha alpha) (-.f64 (.f64 alpha alpha) (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (pow.f64 alpha #s(literal 4 binary64))) (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (.f64 (neg.f64 alpha) alpha)))
(/.f64 (+.f64 (pow.f64 alpha #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64))) (+.f64 (pow.f64 alpha #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)))))
(/.f64 (+.f64 (pow.f64 alpha #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64))) (fma.f64 (.f64 alpha alpha) (-.f64 (.f64 alpha alpha) (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 (neg.f64 alpha)) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)))
(fma.f64 (neg.f64 (fabs.f64 alpha)) (neg.f64 (fabs.f64 alpha)) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)))
(fma.f64 (fabs.f64 (fabs.f64 alpha)) (fabs.f64 (fabs.f64 alpha)) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)))
(fma.f64 (neg.f64 alpha) (neg.f64 alpha) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)))
(fma.f64 (fabs.f64 alpha) (fabs.f64 alpha) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)))
(fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 (neg.f64 (neg.f64 alpha)) alpha))
(fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha))
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 (neg.f64 (neg.f64 alpha)) alpha))
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha))
(fma.f64 alpha alpha (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (.f64 (neg.f64 alpha) alpha))) (/.f64 (pow.f64 alpha #s(literal 4 binary64)) (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 (neg.f64 alpha) alpha))))
(-.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) (.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 alpha)))
(-.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) (.f64 (neg.f64 (fabs.f64 alpha)) (fabs.f64 alpha)))
(-.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) (.f64 (neg.f64 alpha) alpha))
(-.f64 (.f64 alpha alpha) (.f64 (neg.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 2 binary64) beta)))
(-.f64 (.f64 alpha alpha) (.f64 (neg.f64 (+.f64 #s(literal 2 binary64) beta)) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64)) (fma.f64 (.f64 alpha alpha) (-.f64 (.f64 alpha alpha) (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) (/.f64 (pow.f64 alpha #s(literal 6 binary64)) (fma.f64 (.f64 alpha alpha) (-.f64 (.f64 alpha alpha) (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))))
(+.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) (.f64 (neg.f64 (neg.f64 alpha)) alpha))
(+.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha))
(+.f64 (.f64 alpha alpha) (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)))

eval253.0ms (3.2%)

Memory: 3.0MiB live, 481.7MiB allocated
Compiler: Compiled 74 579 to 6 531 computations (91.2% saved)

prune36.0ms (0.5%)

Memory

1.6MiB live, 116.3MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	1 233	14	1 247
Fresh	7	4	11
Picked	4	1	5
Done	0	0	0
Total	1 244	19	1 263

Accuracy

100.0%

Counts

1 263 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.4%	(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	53.0%	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 1/2 binary64))
	71.1%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	68.9%	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	3.9%	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	43.6%	(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	58.3%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 alpha (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	53.0%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	48.0%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) alpha)) (*.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))
	69.9%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64))
	70.3%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (/.f64 (.f64 (neg.f64 alpha) alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
▶	71.6%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
	32.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
▶	30.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
✓	34.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	32.4%	#s(approx (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (/ (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4) 2)) 1/2) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta) (neg.f64 (*.f64 #s(literal 3 binary64) beta))) alpha)))
	32.4%	#s(approx (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (/ (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4) 2)) 1/2) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) beta (neg.f64 (-.f64 beta #s(literal 2 binary64))))) (.f64 #s(literal 3 binary64) beta)) alpha)))
	47.8%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)))

Compiler

Compiled 1 321 to 700 computations (47% saved)

simplify173.0ms (2.2%)

Memory

3.9MiB live, 243.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64))))
cost-diff	0	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	0	(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)))
cost-diff	0	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
cost-diff	2	(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))
cost-diff	0	#s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha)))
cost-diff	0	(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64))
cost-diff	0	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	2	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
cost-diff	6	(+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
cost-diff	12	(-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
cost-diff	22	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	633
0	109	633
1	243	611
2	707	531
3	2820	531
0	8789	524

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(+.f64 (/.f64 beta (+.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
#s(literal 1 binary64)
(*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha)))
(-.f64 beta alpha)
beta
alpha
#s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))
(+.f64 #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)
(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)))
#s(literal -1/2 binary64)
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta)
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha)
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta))
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))
#s(literal 2 binary64)
beta
(+.f64 #s(literal 2 binary64) beta)
alpha
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64))))
(-.f64 beta alpha)
beta
alpha
(+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64)))
#s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64)))
(fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))
(fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64))
(+.f64 #s(literal 6 binary64) beta)
#s(literal 6 binary64)
#s(literal 12 binary64)
#s(literal 8 binary64)
(pow.f64 alpha #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha))
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
(-.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(*.f64 alpha alpha)
#s(literal 1 binary64)

Outputs
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
#s(literal 1 binary64)
(*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 alpha beta) (+.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)))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha)))
(/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 alpha #s(literal 2 binary64))))
(-.f64 beta alpha)
beta
alpha
#s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))
#s(approx (+ 2 (+ alpha beta)) (+.f64 alpha #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) alpha)
(+.f64 alpha #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal -1/2 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)
(*.f64 (/.f64 #s(literal -1/2 binary64) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))))
(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) beta) (fma.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 #s(literal 2 binary64) beta)) alpha) beta)
(-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) beta)) beta)
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha)
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) beta))
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))
#s(literal 2 binary64)
beta
(+.f64 #s(literal 2 binary64) beta)
alpha
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha)) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(approx (pow (+ 2 beta) 3) (fma.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta #s(literal 8 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha)) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(approx (pow (+ 2 beta) 3) (fma.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta #s(literal 8 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64))))
(/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(approx (pow (+ 2 beta) 3) (fma.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta #s(literal 8 binary64)))))
(-.f64 beta alpha)
beta
alpha
(+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64)))
(+.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(approx (pow (+ 2 beta) 3) (fma.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta #s(literal 8 binary64))))
#s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64)))
#s(approx (pow (+ 2 beta) 3) (fma.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta #s(literal 8 binary64)))
(fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))
(fma.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta #s(literal 8 binary64))
(fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64))
(fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64))
(+.f64 #s(literal 6 binary64) beta)
#s(literal 6 binary64)
#s(literal 12 binary64)
#s(literal 8 binary64)
(pow.f64 alpha #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha))
(fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha))
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
(-.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(*.f64 alpha alpha)
#s(literal 1 binary64)

localize183.0ms (2.3%)

Memory

-6.5MiB live, 321.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha))
accuracy	0.03125	(fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))
accuracy	6.970276933046231	(/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64))))
accuracy	26.15430133781995	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64))
accuracy	0.0234375	(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta))
accuracy	0.30816249152479	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)
accuracy	1.20259759334917	(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha)
accuracy	43.62743475410542	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
accuracy	0.0	(+.f64 #s(literal 2 binary64) alpha)
accuracy	0.02734375	(/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha)))
accuracy	17.000645830381632	#s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))
accuracy	18.17823984272699	(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	18.17823984272699	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	42.962961579818575	#s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64))
accuracy	0.05078125	(*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
accuracy	0.0625	(*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
accuracy	0.06640625	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
accuracy	18.155656179591354	(-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))

Samples

65.0ms	179×	0	valid
37.0ms	32×	2	valid
33.0ms	45×	1	valid

Compiler

Compiled 565 to 59 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-div: 24.0ms (23.6% of total)

ival-add: 23.0ms (22.6% of total)

ival-mult: 19.0ms (18.7% of total)

adjust: 14.0ms (13.8% of total)

ival-pow: 13.0ms (12.8% of total)

ival-sub: 7.0ms (6.9% of total)

exact: 1.0ms (1% of total)

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

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

series48.0ms (0.6%)

Memory

7.3MiB live, 45.2MiB allocated

Counts

24 → 326

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha)))
(-.f64 beta alpha)
#s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)
(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64))))
(*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) alpha)
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha)
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta))
(fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha))

Outputs
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4))))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(pow (+ 1 (/ beta (+ 2 beta))) 2)
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ beta (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ 1 (+ (* alpha (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))))))))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ 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 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
beta
(+ beta (* -1 alpha))
(+ 2 beta)
(+ 2 (+ alpha beta))
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(+ (* -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))))))))))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) (pow alpha 2))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) alpha)
(+ (* 1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (* 2 (/ 1 (pow (+ 2 beta) 3)))))) (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (* 2 (/ 1 (pow (+ 2 beta) 3))))))))))
(+ 1 (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (* 2 (/ 1 (pow (+ 2 beta) 3)))))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (+ (* 2 (/ 1 (pow (+ 2 beta) 3))) (* 2 (/ beta (pow (+ 2 beta) 3))))))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(/ beta (pow (+ 2 beta) 3))
(+ (* -1 (/ alpha (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))
(+ (* alpha (- (* -1 (/ (* (pow alpha 2) beta) (pow (+ 2 beta) 6))) (/ 1 (pow (+ 2 beta) 3)))) (/ beta (pow (+ 2 beta) 3)))
(+ (* alpha (- (* (pow alpha 2) (- (/ alpha (pow (+ 2 beta) 6)) (/ beta (pow (+ 2 beta) 6)))) (/ 1 (pow (+ 2 beta) 3)))) (/ beta (pow (+ 2 beta) 3)))
(/ (pow alpha 2) (pow (+ 2 beta) 2))
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))))) (/ (pow beta 2) (pow (+ 2 beta) 4))))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
2
(+ 2 alpha)
(pow (+ 2 beta) 2)
(+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2))
(+ (* alpha (+ alpha (* -1 (+ 2 beta)))) (pow (+ 2 beta) 2))
(* 1/2 (/ (+ 4 (* 4 beta)) alpha))
(/ (- (+ (* 1/2 (+ 4 (* 4 beta))) (* 1/2 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha))) (* -1/2 (/ (+ 4 (* 4 beta)) alpha))) alpha)
(/ (- (+ (* 1/2 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (/ (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2)))))) (pow alpha 2))))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) (pow alpha 2))) (+ (* -1/2 (/ (+ 4 (* 4 beta)) alpha)) (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2)))))) alpha)
(/ (- (+ (* 1/2 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ (* 1/2 (/ (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2)))))) (pow alpha 3))) (* 1/2 (/ (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2)))))) (pow alpha 2)))))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) (pow alpha 2))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))))) (pow alpha 3))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (pow alpha 3))) (+ (* -1/2 (/ (+ 4 (* 4 beta)) alpha)) (+ (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (pow alpha 3))) (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2))))))))) alpha)
(/ (+ 4 (* 4 beta)) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 4 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))) alpha)
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(- 2 (* 2 (/ 1 alpha)))
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(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
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-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
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(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* -1 (+ 2 (* 2 beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
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(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)
(* 1/2 (+ 2 (* 2 beta)))
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 3))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) (pow alpha 3))) (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 3))) (pow alpha 2)))))) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/ (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))))))) (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2)))) alpha)
(/ -1 (pow alpha 2))
(/ (- (/ beta alpha) 1) (pow alpha 2))
(/ (- (+ (/ beta alpha) (/ (pow (+ 2 beta) 3) (pow alpha 3))) 1) (pow alpha 2))
(/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 4))) (/ beta alpha)) (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3))))) (pow alpha 2))
1
(+ 1 (* -1 (/ (+ 4 (* 2 beta)) alpha)))
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(* alpha (+ 1 (* 2 (/ 1 alpha))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(* (pow alpha 2) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))
(* -1/2 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
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(+ 2 (* -1 (/ (+ 2 (+ beta (* -1 beta))) alpha)))
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(* -1/4 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (/ (+ (* 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 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (+ 2 (* 2 beta))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) alpha))
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(* -1 (/ (+ (* -1 (+ 2 (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* -1 (/ (- (+ (* -1 (* beta (pow (+ 2 beta) 2))) (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) alpha)) (pow (+ 2 beta) 3)) alpha))) alpha))) alpha))
(/ (- (* -1 (/ (+ (* -1 beta) (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2)))) alpha)) 1) (pow alpha 2))
(/ (- (* -1 (/ (- (+ (* -1 beta) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (/ (pow (+ 2 beta) 3) (pow alpha 2))) alpha)) 1) (pow alpha 2))
(+ 1 (* -2 (/ (+ 2 beta) alpha)))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 2) alpha)) (* -2 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (* 2 (/ (pow (+ 2 beta) 3) alpha))) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (* -2 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) alpha))) alpha)))
(+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -2 (* beta (pow (+ 2 beta) 2))) (* 2 (* (pow beta 2) (+ 2 beta)))) alpha)) (pow beta 2))) alpha))) alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))))
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(+ 4 (* -4 (/ (+ 2 alpha) beta)))
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(- (+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* -4 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* -2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 3)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))) (/ (pow alpha 2) (pow beta 2)))
(- 2 (* 2 (/ 1 beta)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2)))) (* 2 (/ 1 beta)))
(- (+ 2 (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2)))))
(+ 1 (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)))
(+ 1 (+ (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)) (* 1/2 (/ (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (pow beta 2)))))
(+ 1 (+ (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)) (+ (* 1/2 (/ (- (* 1/2 (+ (* -4 (pow (+ 2 alpha) 3)) (+ (* -2 (pow (+ 2 alpha) 3)) (* (pow alpha 2) (+ 4 (* 2 alpha)))))) (+ (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* -1 (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))))))) (* -1/2 (* (+ 2 (* -2 (+ 2 alpha))) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))))) (pow beta 3))) (* 1/2 (/ (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (pow beta 2))))))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* 2 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta))))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (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))))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (/ 1 (pow alpha 2))))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 alpha)) 2) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 alpha)) 2) beta))) (/ 1 alpha)))
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (* 1/2 (/ (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 12 (* 6 (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2)))))
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (+ 8 (+ (* 6 (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 12 (* 6 (- (* -1 alpha) (+ 2 alpha)))))) (+ (* 12 (- (* -1 alpha) (+ 2 alpha))) (pow alpha 3))))) (pow beta 3))) (* 1/2 (/ (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 12 (* 6 (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2))))))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (- 4 alpha)) (pow beta 2))) (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (/ (pow alpha 2) (pow beta 2)))))) (+ (* 6 (/ (- (* -1 alpha) (+ 2 alpha)) (pow beta 2))) (+ (* 2 (/ 1 beta)) (+ (/ 12 (pow beta 2)) (/ alpha beta)))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (pow beta 3))) (+ (* -1 (/ (* alpha (- 4 alpha)) (pow beta 2))) (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (/ (pow alpha 2) (pow beta 2))))))) (+ (* 6 (/ (- (* -1 alpha) (+ 2 alpha)) (pow beta 2))) (+ (* 6 (/ (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 12 (* 6 (- (* -1 alpha) (+ 2 alpha))))) (pow beta 3))) (+ (* 12 (/ (- (* -1 alpha) (+ 2 alpha)) (pow beta 3))) (+ (* 2 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (+ (/ 12 (pow beta 2)) (+ (/ alpha beta) (/ (pow alpha 3) (pow beta 3))))))))))
(/ 1 (pow beta 2))
(/ (- (+ 1 (* -1 (/ alpha beta))) (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 12 (* 6 (- (* -1 alpha) 6))) (pow beta 2))))) (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 8 (+ (* -6 (+ 12 (* 6 (- (* -1 alpha) 6)))) (+ (* 12 (- (* -1 alpha) 6)) (pow alpha 3)))) (pow beta 3))))) (+ (* 6 (/ (- (* -1 alpha) 6) (pow beta 2))) (+ (* 6 (/ 1 beta)) (/ 12 (pow beta 2))))) (pow beta 2))
(/ (pow alpha 2) (pow beta 2))
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2))
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* -4 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* -2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta)))))
(* 2 (pow beta 2))
(* (pow beta 2) (+ 2 (* 6 (/ 1 beta))))
(* (pow beta 2) (+ 2 (+ (* 6 (/ 1 beta)) (/ 4 (pow beta 2)))))
(pow beta 3)
(* (pow beta 3) (+ 1 (* 6 (/ 1 beta))))
(* (pow beta 3) (+ 1 (+ (* 6 (/ 1 beta)) (/ 12 (pow beta 2)))))
(* (pow beta 3) (+ 1 (+ (* 6 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (/ 12 (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (- (+ 1 (* 4 (/ 1 beta))) (/ alpha beta)))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (+ (* 4 (/ 1 beta)) (/ (pow alpha 2) (pow beta 2))))) (/ alpha beta)))
(+ 2 (* -1 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha)))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3))) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (pow alpha 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ alpha (* -1 alpha))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))) beta))))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (+ (* -1 (/ (- (pow (+ 2 alpha) 3) (* alpha (pow (+ 2 alpha) 2))) beta)) (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) beta))))) beta)))
(+ 1 (* -1/2 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (* 1/2 (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 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 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* 1/2 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- 2 (* 6 (/ 1 alpha)))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) 2) beta))) beta)) (/ 1 alpha)))
(+ 1 (* 1/2 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (* 1/2 (/ (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)))) (* 1/2 (/ (- (* -1 (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (+ 8 (+ (* -6 (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)))) (+ (* 12 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (pow alpha 3))))) beta))) beta)) (* -1/2 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6))) beta)))
(- (+ 2 (* -1 (/ (- (+ alpha (* -1 (- 2 alpha))) 2) beta))) (* 6 (/ 1 beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (+ (* -1 (/ (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))) beta)) (* 12 (/ 1 beta)))) (* -6 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta))) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (* -1 (/ (- (+ (* -1 (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)))) (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) beta))) (+ (* -6 (/ (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6))) beta)) (+ (* 12 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta)) (+ (* 8 (/ 1 beta)) (/ (pow alpha 3) beta))))) beta))) beta)))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 alpha) 6)) (* 12 (/ 1 beta))) (* -6 (/ (- (* -1 alpha) 6) beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 6)) (* -1 (/ (+ (* -1 (- 12 (* -6 (- (* -1 alpha) 6)))) (* -1 (/ (+ 8 (+ (* -6 (- 12 (* -6 (- (* -1 alpha) 6)))) (+ (* 12 (- (* -1 alpha) 6)) (pow alpha 3)))) beta))) beta))) beta))) (pow beta 2))
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (pow (+ 2 alpha) 3) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 4 (+ 2 alpha))) beta)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 6 (* 12 (/ 1 beta))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 6 (+ (* 12 (/ 1 beta)) (/ 8 (pow beta 2)))) beta)) 1)))
(* (pow beta 2) (+ 1 (* -1 (/ (- (* -1 (- 2 alpha)) 2) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 (- 2 alpha)) (* -1 (/ (+ (* 2 (- 2 alpha)) (pow alpha 2)) beta))) 2) beta))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	0	((/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2)))) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2)))) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (/ (/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2)))) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (/ (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) 2) (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (+ 2 alpha) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (* (+ (* 2 beta) 2) (+ 2 beta)) (+ (* beta (+ (* beta (+ 6 beta)) 12)) 8) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha)))
4.0ms	alpha	@	-inf	((/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2)))) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2)))) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (/ (/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2)))) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (/ (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) 2) (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (+ 2 alpha) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (* (+ (* 2 beta) 2) (+ 2 beta)) (+ (* beta (+ (* beta (+ 6 beta)) 12)) 8) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha)))
3.0ms	alpha	@	0	((/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2)))) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2)))) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (/ (/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2)))) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (/ (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) 2) (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (+ 2 alpha) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (* (+ (* 2 beta) 2) (+ 2 beta)) (+ (* beta (+ (* beta (+ 6 beta)) 12)) 8) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha)))
3.0ms	alpha	@	inf	((/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2)))) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2)))) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (/ (/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2)))) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (/ (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) 2) (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (+ 2 alpha) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (* (+ (* 2 beta) 2) (+ 2 beta)) (+ (* beta (+ (* beta (+ 6 beta)) 12)) 8) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha)))
3.0ms	beta	@	-inf	((/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2)))) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2)))) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (/ (/ (- (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2)))) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (/ (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) 2) (+ (* (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha))) 1) (/ (- beta alpha) (+ (pow (+ 2 beta) 3) (pow alpha 3))) (* (/ alpha (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (+ 2 alpha) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (* (+ (* 2 beta) 2) (+ 2 beta)) (+ (* beta (+ (* beta (+ 6 beta)) 12)) 8) (+ (* (+ 2 beta) (- (+ 2 beta) alpha)) (* alpha alpha)))

simplify247.0ms (3.2%)

Memory

19.2MiB live, 255.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2110	17361
1	7691	17029
0	8176	16014

Stop Event

1×	iter limit
1×	node limit

Counts

326 → 324

Calls

Call 1

Inputs
(+ 1 (/ beta (+ 2 beta)))
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(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
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(/ beta (+ 2 beta))
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beta
(+ beta (* -1 alpha))
(+ 2 beta)
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(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
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(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))
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(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
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(/ (pow alpha 2) (pow (+ 2 beta) 2))
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
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(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
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2
(+ 2 alpha)
(pow (+ 2 beta) 2)
(+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2))
(+ (* alpha (+ alpha (* -1 (+ 2 beta)))) (pow (+ 2 beta) 2))
(* 1/2 (/ (+ 4 (* 4 beta)) alpha))
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(/ (- (+ (* 1/2 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (/ (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2)))))) (pow alpha 2))))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) (pow alpha 2))) (+ (* -1/2 (/ (+ 4 (* 4 beta)) alpha)) (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2)))))) alpha)
(/ (- (+ (* 1/2 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ (* 1/2 (/ (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2)))))) (pow alpha 3))) (* 1/2 (/ (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2)))))) (pow alpha 2)))))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) (pow alpha 2))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))))) (pow alpha 3))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (pow alpha 3))) (+ (* -1/2 (/ (+ 4 (* 4 beta)) alpha)) (+ (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (pow alpha 3))) (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2))))))))) alpha)
(/ (+ 4 (* 4 beta)) alpha)
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(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
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-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
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(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* -1 (+ 2 (* 2 beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
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(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)
(* 1/2 (+ 2 (* 2 beta)))
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 3))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) (pow alpha 3))) (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 3))) (pow alpha 2)))))) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/ (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))))))) (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2)))) alpha)
(/ -1 (pow alpha 2))
(/ (- (/ beta alpha) 1) (pow alpha 2))
(/ (- (+ (/ beta alpha) (/ (pow (+ 2 beta) 3) (pow alpha 3))) 1) (pow alpha 2))
(/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 4))) (/ beta alpha)) (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3))))) (pow alpha 2))
1
(+ 1 (* -1 (/ (+ 4 (* 2 beta)) alpha)))
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(+ 1 (* 2 (/ beta alpha)))
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(* alpha (+ 1 (* 2 (/ 1 alpha))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(* (pow alpha 2) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))
(* -1/2 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
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(+ 2 (* -1 (/ (+ 2 (+ beta (* -1 beta))) alpha)))
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(* -1/4 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (/ (+ (* 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 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (+ 2 (* 2 beta))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) alpha))
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(* -1 (/ (+ (* -1 (+ 2 (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* -1 (/ (- (+ (* -1 (* beta (pow (+ 2 beta) 2))) (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) alpha)) (pow (+ 2 beta) 3)) alpha))) alpha))) alpha))
(/ (- (* -1 (/ (+ (* -1 beta) (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2)))) alpha)) 1) (pow alpha 2))
(/ (- (* -1 (/ (- (+ (* -1 beta) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (/ (pow (+ 2 beta) 3) (pow alpha 2))) alpha)) 1) (pow alpha 2))
(+ 1 (* -2 (/ (+ 2 beta) alpha)))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 2) alpha)) (* -2 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (* 2 (/ (pow (+ 2 beta) 3) alpha))) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (* -2 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) alpha))) alpha)))
(+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -2 (* beta (pow (+ 2 beta) 2))) (* 2 (* (pow beta 2) (+ 2 beta)))) alpha)) (pow beta 2))) alpha))) alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))))
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(- (+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* -4 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* -2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 3)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))) (/ (pow alpha 2) (pow beta 2)))
(- 2 (* 2 (/ 1 beta)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2)))) (* 2 (/ 1 beta)))
(- (+ 2 (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2)))))
(+ 1 (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)))
(+ 1 (+ (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)) (* 1/2 (/ (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (pow beta 2)))))
(+ 1 (+ (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)) (+ (* 1/2 (/ (- (* 1/2 (+ (* -4 (pow (+ 2 alpha) 3)) (+ (* -2 (pow (+ 2 alpha) 3)) (* (pow alpha 2) (+ 4 (* 2 alpha)))))) (+ (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* -1 (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))))))) (* -1/2 (* (+ 2 (* -2 (+ 2 alpha))) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))))) (pow beta 3))) (* 1/2 (/ (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (pow beta 2))))))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* 2 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta))))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (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))))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (/ 1 (pow alpha 2))))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 alpha)) 2) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 alpha)) 2) beta))) (/ 1 alpha)))
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (* 1/2 (/ (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 12 (* 6 (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2)))))
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (+ 8 (+ (* 6 (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 12 (* 6 (- (* -1 alpha) (+ 2 alpha)))))) (+ (* 12 (- (* -1 alpha) (+ 2 alpha))) (pow alpha 3))))) (pow beta 3))) (* 1/2 (/ (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 12 (* 6 (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2))))))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (- 4 alpha)) (pow beta 2))) (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (/ (pow alpha 2) (pow beta 2)))))) (+ (* 6 (/ (- (* -1 alpha) (+ 2 alpha)) (pow beta 2))) (+ (* 2 (/ 1 beta)) (+ (/ 12 (pow beta 2)) (/ alpha beta)))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (pow beta 3))) (+ (* -1 (/ (* alpha (- 4 alpha)) (pow beta 2))) (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (/ (pow alpha 2) (pow beta 2))))))) (+ (* 6 (/ (- (* -1 alpha) (+ 2 alpha)) (pow beta 2))) (+ (* 6 (/ (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 12 (* 6 (- (* -1 alpha) (+ 2 alpha))))) (pow beta 3))) (+ (* 12 (/ (- (* -1 alpha) (+ 2 alpha)) (pow beta 3))) (+ (* 2 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (+ (/ 12 (pow beta 2)) (+ (/ alpha beta) (/ (pow alpha 3) (pow beta 3))))))))))
(/ 1 (pow beta 2))
(/ (- (+ 1 (* -1 (/ alpha beta))) (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 12 (* 6 (- (* -1 alpha) 6))) (pow beta 2))))) (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 8 (+ (* -6 (+ 12 (* 6 (- (* -1 alpha) 6)))) (+ (* 12 (- (* -1 alpha) 6)) (pow alpha 3)))) (pow beta 3))))) (+ (* 6 (/ (- (* -1 alpha) 6) (pow beta 2))) (+ (* 6 (/ 1 beta)) (/ 12 (pow beta 2))))) (pow beta 2))
(/ (pow alpha 2) (pow beta 2))
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2))
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* -4 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* -2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta)))))
(* 2 (pow beta 2))
(* (pow beta 2) (+ 2 (* 6 (/ 1 beta))))
(* (pow beta 2) (+ 2 (+ (* 6 (/ 1 beta)) (/ 4 (pow beta 2)))))
(pow beta 3)
(* (pow beta 3) (+ 1 (* 6 (/ 1 beta))))
(* (pow beta 3) (+ 1 (+ (* 6 (/ 1 beta)) (/ 12 (pow beta 2)))))
(* (pow beta 3) (+ 1 (+ (* 6 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (/ 12 (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (- (+ 1 (* 4 (/ 1 beta))) (/ alpha beta)))
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (+ (* 4 (/ 1 beta)) (/ (pow alpha 2) (pow beta 2))))) (/ alpha beta)))
(+ 2 (* -1 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha)))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3))) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (pow alpha 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ alpha (* -1 alpha))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))) beta))))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (+ (* -1 (/ (- (pow (+ 2 alpha) 3) (* alpha (pow (+ 2 alpha) 2))) beta)) (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) beta))))) beta)))
(+ 1 (* -1/2 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (* 1/2 (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 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 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* 1/2 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- 2 (* 6 (/ 1 alpha)))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) 2) beta))) beta)) (/ 1 alpha)))
(+ 1 (* 1/2 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (* 1/2 (/ (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)))) (* 1/2 (/ (- (* -1 (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (+ 8 (+ (* -6 (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)))) (+ (* 12 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (pow alpha 3))))) beta))) beta)) (* -1/2 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6))) beta)))
(- (+ 2 (* -1 (/ (- (+ alpha (* -1 (- 2 alpha))) 2) beta))) (* 6 (/ 1 beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (+ (* -1 (/ (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))) beta)) (* 12 (/ 1 beta)))) (* -6 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta))) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (* -1 (/ (- (+ (* -1 (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)))) (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) beta))) (+ (* -6 (/ (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6))) beta)) (+ (* 12 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta)) (+ (* 8 (/ 1 beta)) (/ (pow alpha 3) beta))))) beta))) beta)))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 alpha) 6)) (* 12 (/ 1 beta))) (* -6 (/ (- (* -1 alpha) 6) beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 6)) (* -1 (/ (+ (* -1 (- 12 (* -6 (- (* -1 alpha) 6)))) (* -1 (/ (+ 8 (+ (* -6 (- 12 (* -6 (- (* -1 alpha) 6)))) (+ (* 12 (- (* -1 alpha) 6)) (pow alpha 3)))) beta))) beta))) beta))) (pow beta 2))
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (pow (+ 2 alpha) 3) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 4 (+ 2 alpha))) beta)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 6 (* 12 (/ 1 beta))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 6 (+ (* 12 (/ 1 beta)) (/ 8 (pow beta 2)))) beta)) 1)))
(* (pow beta 2) (+ 1 (* -1 (/ (- (* -1 (- 2 alpha)) 2) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 (- 2 alpha)) (* -1 (/ (+ (* 2 (- 2 alpha)) (pow alpha 2)) beta))) 2) beta))))

Outputs
(+ 1 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (-.f64 (/.f64 (neg.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 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
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(pow (+ 1 (/ beta (+ 2 beta))) 2)
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ beta (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
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(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
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(+ 1 (+ (* alpha (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
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(+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))))
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(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
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(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
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(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
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(+ 1/2 (+ (* 1/2 (/ 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 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
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(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
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beta
(+ beta (* -1 alpha))
(fma.f64 #s(literal -1 binary64) alpha beta)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
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(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
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(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))
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(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) (pow alpha 2))
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(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
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(/ beta (pow (+ 2 beta) 3))
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(/ (+ 2 (* 2 beta)) alpha)
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(/ (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta)))) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2)))) alpha)
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#s(literal 1 binary64)
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(- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
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(+ 1 (* 2 (/ beta alpha)))
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(* alpha (+ 1 (* 2 (/ 1 alpha))))
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(pow alpha 2)
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
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(* (pow alpha 2) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))
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(* -1/2 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
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(* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) alpha)) (* 1/2 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (+ 2 beta) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3))))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2))))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 3) (* beta (pow (+ 2 beta) 2))))) (+ (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))))) (* 1/2 (* (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta)))))))) alpha)) (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3))))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))) alpha)) (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) alpha)) (* 1/2 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
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(+ 2 (* -1 (/ (- (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (+ (* -1 (/ (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))) beta)) (* 12 (/ 1 beta)))) (* -6 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta))) beta)))
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) (fma.f64 (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) alpha (.f64 alpha alpha))) #s(literal -1 binary64) #s(literal 12 binary64)) (.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)) #s(literal -6 binary64))) beta)) beta) #s(literal -1 binary64) #s(literal 2 binary64))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)) (* -1 (/ (- (+ (* -1 (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6)))) (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) beta))) (+ (* -6 (/ (- (+ 12 (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))))) (* -6 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6))) beta)) (+ (* 12 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) 6) beta)) (+ (* 8 (/ 1 beta)) (/ (pow alpha 3) beta))))) beta))) beta)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) (fma.f64 (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) alpha (.f64 alpha alpha))) #s(literal -1 binary64) #s(literal 12 binary64)) (.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)) #s(literal -6 binary64))) #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 alpha) (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) (.f64 alpha alpha))) beta)) (+.f64 (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) (fma.f64 (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) alpha (.f64 alpha alpha))) #s(literal -1 binary64) #s(literal 12 binary64)) (.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)) #s(literal -6 binary64))) #s(literal -6 binary64) (*.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)) #s(literal 12 binary64))) beta) (/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64))) beta))) beta) #s(literal -1 binary64) (neg.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64) alpha) #s(literal 2 binary64))) #s(literal 6 binary64)))) beta) #s(literal -1 binary64) #s(literal 2 binary64))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 alpha) 6)) (* 12 (/ 1 beta))) (* -6 (/ (- (* -1 alpha) 6) beta))) beta))) (pow beta 2))
(/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 alpha) #s(literal 6 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 12 binary64) beta)) (.f64 (/.f64 (-.f64 (neg.f64 alpha) #s(literal 6 binary64)) beta) #s(literal -6 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 beta beta))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 6)) (* -1 (/ (+ (* -1 (- 12 (* -6 (- (* -1 alpha) 6)))) (* -1 (/ (+ 8 (+ (* -6 (- 12 (* -6 (- (* -1 alpha) 6)))) (+ (* 12 (- (* -1 alpha) 6)) (pow alpha 3)))) beta))) beta))) beta))) (pow beta 2))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 alpha) #s(literal 6 binary64)) #s(literal 6 binary64) #s(literal 12 binary64)) #s(literal -6 binary64) (fma.f64 (-.f64 (neg.f64 alpha) #s(literal 6 binary64)) #s(literal 12 binary64) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal 8 binary64)) beta) #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 (neg.f64 alpha) #s(literal 6 binary64)) #s(literal 6 binary64) #s(literal 12 binary64)))) beta) #s(literal -1 binary64) (neg.f64 (-.f64 (neg.f64 alpha) #s(literal 6 binary64)))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 beta beta))
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2))
(/.f64 (fma.f64 (.f64 (.f64 alpha alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal -2 binary64) (.f64 alpha alpha)) (.f64 beta beta))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/.f64 (fma.f64 alpha alpha (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (.f64 (.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 alpha alpha)))) beta))) (.f64 beta beta))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/.f64 (fma.f64 alpha alpha (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 alpha alpha))) (+.f64 #s(literal 2 binary64) alpha) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (.f64 alpha alpha))) beta)) (.f64 #s(literal -3 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 alpha alpha)))) beta) #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 alpha alpha)))) beta))) (*.f64 beta beta))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta))) beta) #s(literal -1 binary64) #s(literal 4 binary64))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (pow (+ 2 alpha) 3) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 4 (+ 2 alpha))) beta)))
(fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) #s(literal -6 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta))) beta) #s(literal -1 binary64) #s(literal 4 binary64))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 6 (* 12 (/ 1 beta))) beta)) 1)))
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 12 binary64) beta) #s(literal 6 binary64)) beta)) #s(literal 1 binary64)) (pow.f64 beta #s(literal 3 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 6 (+ (* 12 (/ 1 beta)) (/ 8 (pow beta 2)))) beta)) 1)))
(neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 beta beta)) (/.f64 #s(literal 12 binary64) beta)) #s(literal 6 binary64)) beta)) #s(literal 1 binary64)) (pow.f64 beta #s(literal 3 binary64))))
(* (pow beta 2) (+ 1 (* -1 (/ (- (* -1 (- 2 alpha)) 2) beta))))
(.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 beta beta))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -1 (- 2 alpha)) (* -1 (/ (+ (* 2 (- 2 alpha)) (pow alpha 2)) beta))) 2) beta))))
(.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) (.f64 alpha alpha)) beta) #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 beta beta))

rewrite209.0ms (2.7%)

Memory

19.9MiB live, 287.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	489
0	109	433
1	527	373
2	4646	373
0	8933	373

Stop Event

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

Counts

24 → 492

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha)))
(-.f64 beta alpha)
#s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)
(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64))))
(*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) alpha)
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha)
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta))
(fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha))

Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.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 (+.f64 (/.f64 (-.f64 beta 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))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 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))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 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))))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 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))))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 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)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 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))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 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))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 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))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 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))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 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))))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 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)))))))))
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(/.f64 (neg.f64 (+.f64 #s(literal 512 binary64) (pow.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 2 binary64)) #s(literal 64 binary64)) (.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 2 binary64)) #s(literal 64 binary64)) (-.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 8 binary64)))
(/.f64 (+.f64 #s(literal 512 binary64) (pow.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 3 binary64))) (+.f64 #s(literal 64 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 8 binary64)))))
(/.f64 (+.f64 #s(literal 512 binary64) (pow.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 2 binary64)) #s(literal 64 binary64)) (.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 8 binary64))))
(fma.f64 (*.f64 beta beta) (+.f64 #s(literal 6 binary64) beta) (fma.f64 #s(literal 12 binary64) beta #s(literal 8 binary64)))
(fma.f64 (*.f64 (+.f64 #s(literal 6 binary64) beta) beta) beta (fma.f64 #s(literal 12 binary64) beta #s(literal 8 binary64)))
(fma.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta #s(literal 8 binary64))
(fma.f64 (+.f64 #s(literal 6 binary64) beta) (*.f64 beta beta) (fma.f64 #s(literal 12 binary64) beta #s(literal 8 binary64)))
(fma.f64 beta (*.f64 (+.f64 #s(literal 6 binary64) beta) beta) (fma.f64 #s(literal 12 binary64) beta #s(literal 8 binary64)))
(fma.f64 beta (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) #s(literal 8 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (-.f64 (*.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 8 binary64))))
(-.f64 #s(literal 8 binary64) (*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64))) beta))
(-.f64 #s(literal 8 binary64) (*.f64 (neg.f64 beta) (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64))))
(+.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (+.f64 #s(literal 6 binary64) beta) beta) beta)) (*.f64 #s(literal 12 binary64) beta))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 2 binary64)) #s(literal 64 binary64)) (.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 8 binary64)))) (/.f64 #s(literal 512 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 2 binary64)) #s(literal 64 binary64)) (.f64 (*.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 8 binary64)))))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 6 binary64) beta) beta) beta) (fma.f64 #s(literal 12 binary64) beta #s(literal 8 binary64)))
(+.f64 (*.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta) #s(literal 8 binary64))
(+.f64 #s(literal 8 binary64) (*.f64 (fma.f64 (+.f64 #s(literal 6 binary64) beta) beta #s(literal 12 binary64)) beta))
(/.f64 (-.f64 (pow.f64 alpha #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (-.f64 (.f64 alpha alpha) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (+.f64 (pow.f64 alpha #s(literal 4 binary64)) (.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (neg.f64 alpha) alpha)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (pow.f64 alpha #s(literal 4 binary64)))) (neg.f64 (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (.f64 (neg.f64 alpha) alpha))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 alpha alpha) (-.f64 (.f64 alpha alpha) (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (pow.f64 alpha #s(literal 4 binary64))) (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (.f64 (neg.f64 alpha) alpha)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 6 binary64))) (+.f64 (pow.f64 alpha #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 6 binary64))) (fma.f64 (.f64 alpha alpha) (-.f64 (.f64 alpha alpha) (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 (neg.f64 alpha)) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)))
(fma.f64 (neg.f64 (fabs.f64 alpha)) (neg.f64 (fabs.f64 alpha)) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)))
(fma.f64 (fabs.f64 (fabs.f64 alpha)) (fabs.f64 (fabs.f64 alpha)) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)))
(fma.f64 (neg.f64 alpha) (neg.f64 alpha) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)))
(fma.f64 (fabs.f64 alpha) (fabs.f64 alpha) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)))
(fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 (neg.f64 (neg.f64 alpha)) alpha))
(fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha))
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 (neg.f64 (neg.f64 alpha)) alpha))
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha))
(fma.f64 alpha alpha (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (.f64 (neg.f64 alpha) alpha))) (/.f64 (pow.f64 alpha #s(literal 4 binary64)) (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 (neg.f64 alpha) alpha))))
(-.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) (.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 alpha)))
(-.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) (.f64 (neg.f64 (fabs.f64 alpha)) (fabs.f64 alpha)))
(-.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) (.f64 (neg.f64 alpha) alpha))
(-.f64 (.f64 alpha alpha) (.f64 (neg.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 2 binary64) beta)))
(-.f64 (.f64 alpha alpha) (.f64 (neg.f64 (+.f64 #s(literal 2 binary64) beta)) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64)) (fma.f64 (.f64 alpha alpha) (-.f64 (.f64 alpha alpha) (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) (/.f64 (pow.f64 alpha #s(literal 6 binary64)) (fma.f64 (.f64 alpha alpha) (-.f64 (.f64 alpha alpha) (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))))
(+.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) (.f64 (neg.f64 (neg.f64 alpha)) alpha))
(+.f64 (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha))
(+.f64 (.f64 alpha alpha) (.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta)))

eval156.0ms (2%)

Memory: 1.1MiB live, 238.2MiB allocated
Compiler: Compiled 55 078 to 4 877 computations (91.1% saved)

prune30.0ms (0.4%)

Memory

-5.3MiB live, 70.8MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	824	7	831
Fresh	3	10	13
Picked	3	2	5
Done	0	1	1
Total	830	20	850

Accuracy

100.0%

Counts

850 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 1/2 binary64))
▶	71.1%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	45.9%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ 2 (+ alpha beta)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	68.9%	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	3.9%	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	43.6%	(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	58.3%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 alpha (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	53.0%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	71.6%	(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
	48.0%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) alpha)) (*.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))
	69.9%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64))
	9.6%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) #s(approx (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha)))) #s(literal 2 binary64))
	24.1%	(/.f64 (/.f64 (-.f64 #s(approx (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
▶	32.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	25.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha))
✓	34.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	32.4%	#s(approx (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (/ (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4) 2)) 1/2) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta) (neg.f64 (*.f64 #s(literal 3 binary64) beta))) alpha)))
	32.4%	#s(approx (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (/ (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4) 2)) 1/2) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) beta (neg.f64 (-.f64 beta #s(literal 2 binary64))))) (.f64 #s(literal 3 binary64) beta)) alpha)))
	47.8%	#s(approx (+ (* (/ (- beta alpha) (+ 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 1 410 to 741 computations (47.4% saved)

simplify131.0ms (1.7%)

Memory

-6.9MiB live, 149.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) (fma.f64 alpha (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 alpha (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff	1	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 alpha (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	0	(+.f64 alpha beta)
cost-diff	0	(fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))
cost-diff	1	(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	17	(fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
cost-diff	0	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #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	0	(/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
cost-diff	1	(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
cost-diff	4	(fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))
cost-diff	6	(+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	568
0	95	568
1	206	568
2	557	508
3	2292	504
0	8893	500

Stop Event

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

Calls

Call 1

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

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

localize246.0ms (3.1%)

Memory

22.5MiB live, 266.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))
accuracy	17.87109373735274	(/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	17.873827556655073	(/.f64 (-.f64 beta alpha) (fma.f64 alpha (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))
accuracy	18.437385895334096	(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 alpha (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy	0.0078125	(fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))
accuracy	0.0703125	(.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	12.665152521911919	(/.f64 (-.f64 beta alpha) (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy	26.180832052891652	(fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
accuracy	0.0	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0.0	(+.f64 alpha beta)
accuracy	0.01953125	(/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	18.465497035411847	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
accuracy	0.0	(+.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	0.0234375	(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	0.05078125	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))
accuracy	0.06640625	(/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
accuracy	18.18607249872786	(fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))

Samples

103.0ms	179×	0	valid
37.0ms	32×	2	valid
33.0ms	45×	1	valid

Compiler

Compiled 587 to 55 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-div: 42.0ms (29.7% of total)

ival-pow2: 38.0ms (26.8% of total)

ival-add: 25.0ms (17.7% of total)

ival-mult: 18.0ms (12.7% of total)

adjust: 12.0ms (8.5% of total)

ival-sub: 5.0ms (3.5% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series97.0ms (1.2%)

Memory

-18.7MiB live, 136.1MiB allocated

Counts

24 → 368

Calls

Call 1

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

Outputs
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* alpha (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
(pow (+ 1 (/ beta (+ 2 beta))) 2)
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ beta (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))))))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4))))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ 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)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ 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 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
beta
(+ beta (* -1 alpha))
(/ 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))))
(+ 2 beta)
(+ 2 (+ alpha 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) (pow beta 2))
(+ (* alpha (+ alpha beta)) (pow beta 2))
(+ alpha beta)
(+ (* 1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ 1 (pow (+ 2 beta) 3))) (* 2 (/ beta (pow (+ 2 beta) 3)))) (+ (/ (* beta (+ 2 (+ beta (* -1 (+ 2 beta))))) (pow (+ 2 beta) 4)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3)))))) (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (+ (/ beta (pow (+ 2 beta) 4)) (+ (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ 1 (pow (+ 2 beta) 3))) (* 2 (/ beta (pow (+ 2 beta) 3)))) (+ (/ (* beta (+ 2 (+ beta (* -1 (+ 2 beta))))) (pow (+ 2 beta) 4)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3))))) (pow (+ 2 beta) 3))))))) (* 1/2 (- (+ (* 2 (/ 1 (pow (+ 2 beta) 3))) (* 2 (/ beta (pow (+ 2 beta) 3)))) (+ (/ (* beta (+ 2 (+ beta (* -1 (+ 2 beta))))) (pow (+ 2 beta) 4)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3))))))))))
(+ 1 (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ 1 (pow (+ 2 beta) 3))) (* 2 (/ beta (pow (+ 2 beta) 3)))) (+ (/ (* beta (+ 2 (+ beta (* -1 (+ 2 beta))))) (pow (+ 2 beta) 4)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3)))))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (+ (/ beta (pow (+ 2 beta) 4)) (+ (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ 1 (pow (+ 2 beta) 3))) (* 2 (/ beta (pow (+ 2 beta) 3)))) (+ (/ (* beta (+ 2 (+ beta (* -1 (+ 2 beta))))) (pow (+ 2 beta) 4)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3))))) (pow (+ 2 beta) 3))))))) (+ (* 2 (/ 1 (pow (+ 2 beta) 3))) (* 2 (/ beta (pow (+ 2 beta) 3))))) (+ (/ (* beta (+ 2 (+ beta (* -1 (+ 2 beta))))) (pow (+ 2 beta) 4)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3)))))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (/ beta (+ 2 beta))))
(/ beta (pow (+ 2 beta) 2))
(+ (* -1 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (/ beta (pow (+ 2 beta) 2)))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (/ beta (pow (+ 2 beta) 2)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 5))) (+ (* -1 (/ (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 5))))))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (/ beta (pow (+ 2 beta) 2)))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))))) (/ (pow beta 2) (pow (+ 2 beta) 4))))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(/ beta (+ 2 beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(/ 1 (* beta (+ 2 beta)))
(+ (* -1 (* alpha (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (pow (+ 2 beta) 2)))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2)))))))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (pow (+ 2 beta) 2)))))) (/ 1 (* beta (+ 2 beta))))
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(* (pow beta 2) (+ 2 beta))
(+ (* alpha (+ (* beta (+ 2 beta)) (pow beta 2))) (* (pow beta 2) (+ 2 beta)))
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(+ 2 (+ beta (* -2 alpha)))
(+ 2 (+ beta (* alpha (- (* 3 (/ alpha (+ 2 beta))) 2))))
(+ 2 (+ beta (* alpha (- (* alpha (+ (* -3 (/ alpha (pow (+ 2 beta) 2))) (* 3 (/ 1 (+ 2 beta))))) 2))))
2
(- 2 (* 2 (/ 1 alpha)))
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(/ (+ 4 (* 4 beta)) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 4 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (* 4 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))))))) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (* 2 (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3))) (+ (* 4 beta) (+ (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3)) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha))))))))))))))) alpha)
(* 1/4 (/ (+ 4 (* 4 beta)) alpha))
(/ (+ (* 1/4 (+ 4 (* 4 beta))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) alpha))) alpha)
(/ (+ (* 1/4 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) alpha)) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))))) (pow alpha 2))))) alpha)
(/ (+ (* 1/4 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) alpha)) (+ (* 1/2 (/ (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))))))) (+ (* -1/2 (* (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))))))) (pow alpha 3))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))))) (pow alpha 2)))))) alpha)
(* 1/2 (/ (+ 4 (* 4 beta)) alpha))
(/ (- (+ (* 1/2 (+ 4 (* 4 beta))) (* 1/2 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha))) (* -1/2 (/ (+ 4 (* 4 beta)) alpha))) alpha)
(/ (- (+ (* 1/2 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (/ (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2)))))) (pow alpha 2))))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) (pow alpha 2))) (+ (* -1/2 (/ (+ 4 (* 4 beta)) alpha)) (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2)))))) alpha)
(/ (- (+ (* 1/2 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ (* 1/2 (/ (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2)))))) (pow alpha 3))) (* 1/2 (/ (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2)))))) (pow alpha 2)))))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) (pow alpha 2))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))))) (pow alpha 3))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (pow alpha 3))) (+ (* -1/2 (/ (+ 4 (* 4 beta)) alpha)) (+ (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (pow alpha 3))) (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2))))))))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(/ 1/2 alpha)
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta 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)
(* (pow alpha 2) (+ 1 (/ beta alpha)))
(* (pow alpha 2) (+ 1 (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))
(* alpha (+ 1 (/ beta alpha)))
(* 1/2 (/ (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))) alpha))
(/ (+ (* 1/2 (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))) alpha))) alpha)
(/ (+ (* 1/2 (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) (+ (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))))) (+ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (pow (+ 2 beta) 3) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))) (pow alpha 3))) (+ (* 1/2 (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) (+ (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))) alpha))))) alpha)
(/ (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta)))) (+ (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) alpha)) (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) alpha)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (+ (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) alpha) (+ (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (pow alpha 2)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) (pow alpha 2)))))))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))))) (+ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (pow (+ 2 beta) 3) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))))))) (+ (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) alpha) (+ (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (pow alpha 2)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) (pow alpha 2)))))))) alpha)
(/ -1 alpha)
(* -1 (/ (+ 1 (* 2 (/ 1 alpha))) alpha))
(/ (- (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* 2 (+ 2 beta))) (pow alpha 2))) (+ 1 (* 2 (/ 1 alpha)))) alpha)
(/ (- (* -1 (/ (+ (* -2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ (* -1 (pow (+ 2 beta) 2)) (* 2 (+ 2 beta))))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha)))))) alpha)
1
(+ 1 (* 2 (/ beta alpha)))
(+ 1 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(+ 1 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 3))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2)))))))
(/ beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ -1 (pow alpha 2))
(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 (* 2 beta)) alpha)))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* -1 (+ (* beta (+ 2 beta)) (pow beta 2))) (* (+ 2 (* 2 beta)) (- beta (* -1 (+ 2 (* 2 beta)))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 (* 2 beta)) alpha)))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* beta (+ 2 beta)) (pow beta 2))) (* (+ 2 (* 2 beta)) (- beta (* -1 (+ 2 (* 2 beta)))))))) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (* (+ (* beta (+ 2 beta)) (pow beta 2)) (- beta (* -1 (+ 2 (* 2 beta))))))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ (+ 2 (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* beta (+ 2 beta)) (pow beta 2)) (pow alpha 2))) (/ (* (+ 2 (* 2 beta)) (- beta (* -1 (+ 2 (* 2 beta))))) (pow alpha 2)))))) (pow alpha 2))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (+ (/ (* beta (+ 2 beta)) (pow alpha 2)) (/ (pow beta 2) (pow alpha 2)))))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (+ (/ (* beta (+ 2 beta)) (pow alpha 2)) (+ (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 3)) (/ (pow beta 2) (pow alpha 2))))))))
(* alpha (- (+ 1 (* -1 (/ (+ 2 beta) alpha))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (- (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (+ (* 2 (/ 1 alpha)) (+ (/ beta alpha) (/ (* (+ 2 beta) (- (* -1 (+ 2 beta)) (+ 2 beta))) (pow alpha 2))))))
(* alpha (- (+ 1 (+ (* -1 (/ (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* (+ 2 beta) (- (* -1 (+ 2 beta)) (+ 2 beta))))) (pow alpha 3))) (+ (* -1 (/ (+ 2 beta) alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))) (+ (* 2 (/ 1 alpha)) (+ (/ beta alpha) (/ (* (+ 2 beta) (- (* -1 (+ 2 beta)) (+ 2 beta))) (pow alpha 2))))))
(+ 2 (* -1 (/ (+ 2 (+ beta (* -1 beta))) alpha)))
(+ 2 (* -1 (/ (+ 2 (+ beta (+ (* -1 beta) (* -1 (/ (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))) alpha))))) alpha)))
(+ 2 (* -1 (/ (+ 2 (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (pow (+ 2 beta) 3) (* beta (pow (+ 2 beta) 2))) alpha)) (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))))) alpha)))
(* -1 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
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(- (* beta (- (+ (* -1 (* beta (+ (* -1 (/ (+ 2 (* 2 alpha)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (- (/ 1 (* (pow alpha 2) (+ 2 alpha))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (* (pow alpha 2) (+ 2 alpha)))))) (/ 1 (* (pow alpha 2) (+ 2 alpha)))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (/ 1 (* alpha (+ 2 alpha))))
(- (* beta (- (+ (* beta (- (* beta (- (/ 1 (* (pow alpha 3) (pow (+ 2 alpha) 2))) (+ (* -1 (/ (* (+ (* -1 (/ (+ 2 (* 2 alpha)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (- (/ 1 (* (pow alpha 2) (+ 2 alpha))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (* (pow alpha 2) (+ 2 alpha)))) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (* (pow alpha 2) (+ 2 alpha)))) (/ (* (+ 2 (* 2 alpha)) (- (/ 1 (* (pow alpha 2) (+ 2 alpha))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (* (pow alpha 2) (+ 2 alpha)))))) (+ (* -1 (/ (+ 2 (* 2 alpha)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))) (/ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (- (/ 1 (* (pow alpha 2) (+ 2 alpha))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (* (pow alpha 2) (+ 2 alpha)))))) (/ 1 (* (pow alpha 2) (+ 2 alpha)))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (/ 1 (* alpha (+ 2 alpha))))
(* (pow alpha 2) (+ 2 alpha))
(+ (* beta (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (* (pow alpha 2) (+ 2 alpha)))
(+ (* beta (+ (* alpha (+ 2 alpha)) (+ (* beta (+ 2 (* 2 alpha))) (pow alpha 2)))) (* (pow alpha 2) (+ 2 alpha)))
(+ (* beta (+ (* alpha (+ 2 alpha)) (+ (* beta (+ 2 (+ beta (* 2 alpha)))) (pow alpha 2)))) (* (pow alpha 2) (+ 2 alpha)))
(/ (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ 2 alpha))
(+ (* 2 (/ (- 2 alpha) (+ 2 alpha))) (+ (* beta (- (* 4 (/ 1 (+ 2 alpha))) (+ (* 2 (/ (- 2 alpha) (pow (+ 2 alpha) 2))) (+ (/ alpha (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))))) (/ (pow alpha 2) (+ 2 alpha))))
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(+ (* 2 (/ (- 2 alpha) (+ 2 alpha))) (+ (* beta (- (+ (* 4 (/ 1 (+ 2 alpha))) (* beta (- (+ (* 2 (/ (- 2 alpha) (pow (+ 2 alpha) 3))) (+ (* beta (- (* 4 (/ 1 (pow (+ 2 alpha) 3))) (+ (* 2 (/ (- 2 alpha) (pow (+ 2 alpha) 4))) (+ (/ 1 (pow (+ 2 alpha) 2)) (+ (/ alpha (pow (+ 2 alpha) 3)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))))) (+ (/ 1 (+ 2 alpha)) (+ (/ alpha (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 3)))))) (* 4 (/ 1 (pow (+ 2 alpha) 2)))))) (+ (* 2 (/ (- 2 alpha) (pow (+ 2 alpha) 2))) (+ (/ alpha (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))))) (/ (pow alpha 2) (+ 2 alpha))))
4
(+ 4 (* 4 beta))
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(+ 4 (* -4 (/ (+ 2 alpha) beta)))
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(+ 1 (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)))
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(+ 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))))
(* beta (+ 1 (/ 1 beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(/ 1/2 beta)
(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha 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 (/ alpha beta)))
(* (pow beta 2) (+ 1 (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))
(* beta (+ 1 (/ alpha beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 4 (+ (* -1 (* (+ 2 (* 2 alpha)) (+ 6 (+ alpha (* -1 alpha))))) (+ (* alpha (- alpha 2)) (* (+ 2 alpha) (+ 4 (* -1 alpha))))))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (+ (* -1 (* (+ 2 (* 2 alpha)) (+ 4 (+ (* alpha (- alpha 2)) (* (+ 2 alpha) (+ 4 (* -1 alpha))))))) (+ (* (+ 2 alpha) (+ 4 (* alpha (- alpha 2)))) (* (+ 6 (+ alpha (* -1 alpha))) (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 4 (+ (* -1 (* (+ 2 (* 2 alpha)) (+ 6 (+ alpha (* -1 alpha))))) (+ (* alpha (- alpha 2)) (* (+ 2 alpha) (+ 4 (* -1 alpha))))))))))) (pow beta 3))) (* 1/2 (/ (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 4 (+ (* -1 (* (+ 2 (* 2 alpha)) (+ 6 (+ alpha (* -1 alpha))))) (+ (* alpha (- alpha 2)) (* (+ 2 alpha) (+ 4 (* -1 alpha))))))) (pow beta 2))))))
(- (+ 2 (+ (* -1 (/ (* alpha (- 4 alpha)) (pow beta 2))) (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (/ (pow alpha 2) (pow beta 2))))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ 6 (+ alpha (* -1 alpha)))) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (+ (/ (* alpha (- alpha 2)) (pow beta 2)) (/ (* (+ 2 alpha) (+ 4 (* -1 alpha))) (pow beta 2))))))))
(- (+ 2 (+ (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (pow beta 3))) (+ (* -1 (/ (* alpha (- 4 alpha)) (pow beta 2))) (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (/ (pow alpha 2) (pow beta 2)))))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ 4 (+ (* alpha (- alpha 2)) (* (+ 2 alpha) (+ 4 (* -1 alpha)))))) (pow beta 3))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ 6 (+ alpha (* -1 alpha)))) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (+ (/ (* alpha (- alpha 2)) (pow beta 2)) (+ (/ (* (+ 2 alpha) (+ 4 (* -1 alpha))) (pow beta 2)) (+ (/ (* (+ 2 alpha) (+ 4 (* alpha (- alpha 2)))) (pow beta 3)) (/ (* (+ 6 (+ alpha (* -1 alpha))) (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 4 (+ (* -1 (* (+ 2 (* 2 alpha)) (+ 6 (+ alpha (* -1 alpha))))) (+ (* alpha (- alpha 2)) (* (+ 2 alpha) (+ 4 (* -1 alpha)))))))) (pow beta 3)))))))))))
(/ 1 beta)
(/ (- 1 (* 4 (/ 1 beta))) beta)
(/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -4 (+ 4 (* -1 alpha))) (* alpha (- alpha 2)))) (pow beta 2)))) (* 4 (/ 1 beta))) beta)
(/ (- (+ 1 (* -1 (/ (+ (* -4 (+ 4 (* alpha (- alpha 2)))) (* -1 (* (+ 4 (* -1 alpha)) (+ 4 (+ (* -4 (+ 4 (* -1 alpha))) (* alpha (- alpha 2))))))) (pow beta 3)))) (+ (* -4 (/ (+ 4 (* -1 alpha)) (pow beta 2))) (+ (* 4 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ (* alpha (- alpha 2)) (pow beta 2)))))) beta)
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* -4 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* -2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(/ 1 (pow beta 2))
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* alpha (+ 2 alpha)) (+ (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (pow alpha 2))) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* alpha (+ 2 alpha)) (+ (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (pow alpha 2))))) (+ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (* (pow alpha 2) (+ 2 alpha)))) (pow beta 3))))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (+ (/ (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))))) (pow beta 2))
(pow beta 3)
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2)))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (+ (/ (* (pow alpha 2) (+ 2 alpha)) (pow beta 3)) (/ (pow alpha 2) (pow beta 2))))))))
(* beta (- (+ 1 (* 2 (/ 1 beta))) (* 2 (/ alpha beta))))
(* beta (- (+ 1 (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (/ (* (+ 2 alpha) (- 2 (* 2 alpha))) (pow beta 2)))))
(* beta (- (+ 1 (+ (* -1 (/ (* (+ 2 alpha) (- (+ (* 2 (- 2 alpha)) (pow alpha 2)) (* (+ 2 alpha) (- 2 (* 2 alpha))))) (pow beta 3))) (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ (pow alpha 2) (pow beta 2)))))) (+ (* 2 (/ alpha beta)) (/ (* (+ 2 alpha) (- 2 (* 2 alpha))) (pow beta 2)))))
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(+ 2 (* -1 (/ (+ 2 (+ alpha (* -1 alpha))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))) beta))))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (+ (* -1 (/ (- (pow (+ 2 alpha) 3) (* alpha (pow (+ 2 alpha) 2))) beta)) (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) beta))))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow alpha 2)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3))) beta)) (+ (* -1 (pow alpha 2)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 1 (* -1/2 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (+ (* -1 (pow alpha 2)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (* 1/2 (- (+ (* 1/2 (+ (* -1 (pow alpha 2)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(+ 2 (* -1 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
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(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (+ (* -1 (pow alpha 2)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (+ (* 1/2 (+ (* -1 (pow alpha 2)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (* alpha (+ 2 alpha)))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 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 (* beta (- (/ alpha beta) 1)))
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(- (+ 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 (/ (pow alpha 2) beta))) beta))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(+ 1 (* 1/2 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4)))))) (* 1/2 (/ (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2)))) (+ (* -1 (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4))))))) (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* (+ 2 alpha) (- alpha 4))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2)))) (+ (* -1 (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4))))))) (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* (+ 2 alpha) (- alpha 4)))))) (* 1/2 (/ (- (* -1 (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (+ (* -1 (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2)))) (+ (* -1 (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4))))))) (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* (+ 2 alpha) (- alpha 4))))))) (+ (* -1 (* (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* (+ 2 alpha) (- alpha 4))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4))))))) (* (+ 2 alpha) (+ 4 (* alpha (- alpha 2))))))) beta))) beta)) (* -1/2 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4))))))) beta)))
(- (+ 2 (* -1 (/ (- (+ alpha (* -1 (- 2 alpha))) 2) beta))) (+ (* -1 (/ (- alpha 4) beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 2 (* -1 (/ (- (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4)))))) (* -1 (/ (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))) beta))) (+ (* -1 (/ (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4)))))) beta)) (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) beta)) (/ (* (+ 2 alpha) (- alpha 4)) beta)))) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2)))) (+ (* -1 (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4))))))) (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* (+ 2 alpha) (- alpha 4)))))) (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) beta))) (+ (* -1 (/ (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2)))) (+ (* -1 (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4))))))) (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* (+ 2 alpha) (- alpha 4)))))) beta)) (+ (* -1 (/ (* (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* (+ 2 alpha) (- alpha 4))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4)))))) beta)) (/ (* (+ 2 alpha) (+ 4 (* alpha (- alpha 2)))) beta)))) beta))) beta)))
(* -1 (/ (- (* 4 (/ 1 beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ 4 (+ (* 4 (- alpha 4)) (* alpha (- alpha 2)))) beta)) 4) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -1 (/ (+ (* -1 (* (+ 4 (+ (* 4 (- alpha 4)) (* alpha (- alpha 2)))) (- alpha 4))) (* 4 (+ 4 (* alpha (- alpha 2))))) beta)) (+ (* 4 (- alpha 4)) (* alpha (- alpha 2))))) beta)) 4) beta)) 1) beta))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (pow (+ 2 alpha) 3) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 (* 2 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 (* 2 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (+ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (* -1 (pow alpha 2))))) (* (pow alpha 2) (+ 2 alpha)))) beta)) (* -1 (pow alpha 2))))) beta))) beta))) (pow beta 2))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 2 (* 2 alpha)) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (- (* -1 (- 2 alpha)) 2)) (+ 2 alpha)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -1 (- 2 alpha)) 2)) (* -1 (/ (- (* -1 (+ (* 2 (- 2 alpha)) (pow alpha 2))) (* -1 (* (+ 2 alpha) (- (* -1 (- (* -1 (- 2 alpha)) 2)) (+ 2 alpha))))) beta))) (+ 2 alpha)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -1 (- 2 alpha)) 2)) (* -1 (/ (- (+ (* -1 (+ (* 2 (- 2 alpha)) (pow alpha 2))) (* -1 (/ (* (+ 2 alpha) (- (* -1 (+ (* 2 (- 2 alpha)) (pow alpha 2))) (* -1 (* (+ 2 alpha) (- (* -1 (- (* -1 (- 2 alpha)) 2)) (+ 2 alpha)))))) beta))) (* -1 (* (+ 2 alpha) (- (* -1 (- (* -1 (- 2 alpha)) 2)) (+ 2 alpha))))) beta))) (+ 2 alpha)) beta)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	beta	@	-inf	((+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (+ (* (/ (neg alpha) (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2)) (/ (/ (+ (* (/ (neg alpha) (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) 2) (/ (+ (* (/ (neg alpha) (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2) (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) 2) (+ (* (+ alpha beta) alpha) (* beta beta)) (+ alpha beta) (/ (+ (* (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (+ (* (- (+ 2 beta) alpha) (+ 2 beta)) (* alpha alpha)) (+ (+ alpha beta) 2))) 1) 2) (+ (* (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (+ (* (- (+ 2 beta) alpha) (+ 2 beta)) (* alpha alpha)) (+ (+ alpha beta) 2))) 1) (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2) (/ beta (+ 2 (+ alpha beta))) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta)))) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))) (/ (+ (* (- (+ 2 beta) alpha) (+ 2 beta)) (* alpha alpha)) (+ (+ alpha beta) 2)) (pow (+ 2 beta) 2))
16.0ms	beta	@	inf	((+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (+ (* (/ (neg alpha) (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2)) (/ (/ (+ (* (/ (neg alpha) (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) 2) (/ (+ (* (/ (neg alpha) (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2) (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) 2) (+ (* (+ alpha beta) alpha) (* beta beta)) (+ alpha beta) (/ (+ (* (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (+ (* (- (+ 2 beta) alpha) (+ 2 beta)) (* alpha alpha)) (+ (+ alpha beta) 2))) 1) 2) (+ (* (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (+ (* (- (+ 2 beta) alpha) (+ 2 beta)) (* alpha alpha)) (+ (+ alpha beta) 2))) 1) (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2) (/ beta (+ 2 (+ alpha beta))) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta)))) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))) (/ (+ (* (- (+ 2 beta) alpha) (+ 2 beta)) (* alpha alpha)) (+ (+ alpha beta) 2)) (pow (+ 2 beta) 2))
13.0ms	beta	@	0	((+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (+ (* (/ (neg alpha) (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2)) (/ (/ (+ (* (/ (neg alpha) (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) 2) (/ (+ (* (/ (neg alpha) (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2) (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) 2) (+ (* (+ alpha beta) alpha) (* beta beta)) (+ alpha beta) (/ (+ (* (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (+ (* (- (+ 2 beta) alpha) (+ 2 beta)) (* alpha alpha)) (+ (+ alpha beta) 2))) 1) 2) (+ (* (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (+ (* (- (+ 2 beta) alpha) (+ 2 beta)) (* alpha alpha)) (+ (+ alpha beta) 2))) 1) (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2) (/ beta (+ 2 (+ alpha beta))) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta)))) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))) (/ (+ (* (- (+ 2 beta) alpha) (+ 2 beta)) (* alpha alpha)) (+ (+ alpha beta) 2)) (pow (+ 2 beta) 2))
12.0ms	alpha	@	-inf	((+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (+ (* (/ (neg alpha) (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2)) (/ (/ (+ (* (/ (neg alpha) (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) 2) (/ (+ (* (/ (neg alpha) (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2) (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) 2) (+ (* (+ alpha beta) alpha) (* beta beta)) (+ alpha beta) (/ (+ (* (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (+ (* (- (+ 2 beta) alpha) (+ 2 beta)) (* alpha alpha)) (+ (+ alpha beta) 2))) 1) 2) (+ (* (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (+ (* (- (+ 2 beta) alpha) (+ 2 beta)) (* alpha alpha)) (+ (+ alpha beta) 2))) 1) (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2) (/ beta (+ 2 (+ alpha beta))) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta)))) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))) (/ (+ (* (- (+ 2 beta) alpha) (+ 2 beta)) (* alpha alpha)) (+ (+ alpha beta) 2)) (pow (+ 2 beta) 2))
8.0ms	alpha	@	inf	((+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (+ (* (/ (neg alpha) (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2)) (/ (/ (+ (* (/ (neg alpha) (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) 2) (/ (+ (* (/ (neg alpha) (+ (+ alpha beta) 2)) (/ alpha (+ (+ alpha beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2)) (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2) (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) (/ (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) 2) (+ (* (+ alpha beta) alpha) (* beta beta)) (+ alpha beta) (/ (+ (* (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (+ (* (- (+ 2 beta) alpha) (+ 2 beta)) (* alpha alpha)) (+ (+ alpha beta) 2))) 1) 2) (+ (* (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (+ (* (- (+ 2 beta) alpha) (+ 2 beta)) (* alpha alpha)) (+ (+ alpha beta) 2))) 1) (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ (+ alpha beta) 2))) 2) (/ beta (+ 2 (+ alpha beta))) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta)))) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))) (/ (+ (* (- (+ 2 beta) alpha) (+ 2 beta)) (* alpha alpha)) (+ (+ alpha beta) 2)) (pow (+ 2 beta) 2))

simplify426.0ms (5.4%)

Memory

-80.0MiB live, 334.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2642	23620
0	8772	22153

Stop Event

1×	iter limit
1×	node limit

Counts

368 → 366

Calls

Call 1

Inputs
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* alpha (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
(pow (+ 1 (/ beta (+ 2 beta))) 2)
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ beta (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))))))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4))))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ 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)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ 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 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
beta
(+ beta (* -1 alpha))
(/ 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))))
(+ 2 beta)
(+ 2 (+ alpha 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) (pow beta 2))
(+ (* alpha (+ alpha beta)) (pow beta 2))
(+ alpha beta)
(+ (* 1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ 1 (pow (+ 2 beta) 3))) (* 2 (/ beta (pow (+ 2 beta) 3)))) (+ (/ (* beta (+ 2 (+ beta (* -1 (+ 2 beta))))) (pow (+ 2 beta) 4)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3)))))) (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (+ (/ beta (pow (+ 2 beta) 4)) (+ (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ 1 (pow (+ 2 beta) 3))) (* 2 (/ beta (pow (+ 2 beta) 3)))) (+ (/ (* beta (+ 2 (+ beta (* -1 (+ 2 beta))))) (pow (+ 2 beta) 4)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3))))) (pow (+ 2 beta) 3))))))) (* 1/2 (- (+ (* 2 (/ 1 (pow (+ 2 beta) 3))) (* 2 (/ beta (pow (+ 2 beta) 3)))) (+ (/ (* beta (+ 2 (+ beta (* -1 (+ 2 beta))))) (pow (+ 2 beta) 4)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3))))))))))
(+ 1 (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ 1 (pow (+ 2 beta) 3))) (* 2 (/ beta (pow (+ 2 beta) 3)))) (+ (/ (* beta (+ 2 (+ beta (* -1 (+ 2 beta))))) (pow (+ 2 beta) 4)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3)))))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (+ (/ beta (pow (+ 2 beta) 4)) (+ (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ 1 (pow (+ 2 beta) 3))) (* 2 (/ beta (pow (+ 2 beta) 3)))) (+ (/ (* beta (+ 2 (+ beta (* -1 (+ 2 beta))))) (pow (+ 2 beta) 4)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3))))) (pow (+ 2 beta) 3))))))) (+ (* 2 (/ 1 (pow (+ 2 beta) 3))) (* 2 (/ beta (pow (+ 2 beta) 3))))) (+ (/ (* beta (+ 2 (+ beta (* -1 (+ 2 beta))))) (pow (+ 2 beta) 4)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3)))))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 4))))) (/ beta (+ 2 beta))))
(/ beta (pow (+ 2 beta) 2))
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2
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(* 1/4 (/ (+ 4 (* 4 beta)) alpha))
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(* 1/2 (/ (+ 4 (* 4 beta)) alpha))
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 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 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(/ 1/2 alpha)
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta 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)
(* (pow alpha 2) (+ 1 (/ beta alpha)))
(* (pow alpha 2) (+ 1 (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))
(* alpha (+ 1 (/ beta alpha)))
(* 1/2 (/ (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))) alpha))
(/ (+ (* 1/2 (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))) alpha))) alpha)
(/ (+ (* 1/2 (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) (+ (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))))) (+ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (pow (+ 2 beta) 3) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))) (pow alpha 3))) (+ (* 1/2 (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) (+ (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))) alpha))))) alpha)
(/ (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta)))) (+ (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) alpha)) (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) alpha)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (+ (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) alpha) (+ (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (pow alpha 2)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) (pow alpha 2)))))))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))))) (+ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (pow (+ 2 beta) 3) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))))))) (+ (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) alpha) (+ (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (pow alpha 2)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) (pow alpha 2)))))))) alpha)
(/ -1 alpha)
(* -1 (/ (+ 1 (* 2 (/ 1 alpha))) alpha))
(/ (- (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* 2 (+ 2 beta))) (pow alpha 2))) (+ 1 (* 2 (/ 1 alpha)))) alpha)
(/ (- (* -1 (/ (+ (* -2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ (* -1 (pow (+ 2 beta) 2)) (* 2 (+ 2 beta))))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha)))))) alpha)
1
(+ 1 (* 2 (/ beta alpha)))
(+ 1 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(+ 1 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 3))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2)))))))
(/ beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ -1 (pow alpha 2))
(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 (* 2 beta)) alpha)))) (pow alpha 2))
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(pow alpha 3)
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(+ 1 (* 2 (/ beta (+ 2 alpha))))
(+ 1 (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (* 2 (/ 1 (+ 2 alpha))))))
(+ 1 (* beta (+ (* beta (- (/ (pow beta 2) (pow (+ 2 alpha) 4)) (/ 1 (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (+ 2 alpha))))))
(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(/ -1 (* alpha (+ 2 alpha)))
(- (* beta (- (/ 1 (* (pow alpha 2) (+ 2 alpha))) (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (* (pow alpha 3) (pow (+ 2 alpha) 2)))))) (/ 1 (* alpha (+ 2 alpha))))
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(* (pow alpha 2) (+ 2 alpha))
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(/ (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ 2 alpha))
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4
(+ 4 (* 4 beta))
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(+ 1 (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)))
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(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
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(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ 1 (/ 1 beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
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(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(/ 1/2 beta)
(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha 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 (/ alpha beta)))
(* (pow beta 2) (+ 1 (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))
(* beta (+ 1 (/ alpha beta)))
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (+ (* -1 (* (+ 2 (* 2 alpha)) (+ 4 (+ (* alpha (- alpha 2)) (* (+ 2 alpha) (+ 4 (* -1 alpha))))))) (+ (* (+ 2 alpha) (+ 4 (* alpha (- alpha 2)))) (* (+ 6 (+ alpha (* -1 alpha))) (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 4 (+ (* -1 (* (+ 2 (* 2 alpha)) (+ 6 (+ alpha (* -1 alpha))))) (+ (* alpha (- alpha 2)) (* (+ 2 alpha) (+ 4 (* -1 alpha))))))))))) (pow beta 3))) (* 1/2 (/ (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 4 (+ (* -1 (* (+ 2 (* 2 alpha)) (+ 6 (+ alpha (* -1 alpha))))) (+ (* alpha (- alpha 2)) (* (+ 2 alpha) (+ 4 (* -1 alpha))))))) (pow beta 2))))))
(- (+ 2 (+ (* -1 (/ (* alpha (- 4 alpha)) (pow beta 2))) (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (/ (pow alpha 2) (pow beta 2))))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ 6 (+ alpha (* -1 alpha)))) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (+ (/ (* alpha (- alpha 2)) (pow beta 2)) (/ (* (+ 2 alpha) (+ 4 (* -1 alpha))) (pow beta 2))))))))
(- (+ 2 (+ (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (pow beta 3))) (+ (* -1 (/ (* alpha (- 4 alpha)) (pow beta 2))) (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (/ (pow alpha 2) (pow beta 2)))))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ 4 (+ (* alpha (- alpha 2)) (* (+ 2 alpha) (+ 4 (* -1 alpha)))))) (pow beta 3))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ 6 (+ alpha (* -1 alpha)))) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (+ (/ (* alpha (- alpha 2)) (pow beta 2)) (+ (/ (* (+ 2 alpha) (+ 4 (* -1 alpha))) (pow beta 2)) (+ (/ (* (+ 2 alpha) (+ 4 (* alpha (- alpha 2)))) (pow beta 3)) (/ (* (+ 6 (+ alpha (* -1 alpha))) (- (+ (* -1 (* alpha (- 4 alpha))) (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 4 (+ (* -1 (* (+ 2 (* 2 alpha)) (+ 6 (+ alpha (* -1 alpha))))) (+ (* alpha (- alpha 2)) (* (+ 2 alpha) (+ 4 (* -1 alpha)))))))) (pow beta 3)))))))))))
(/ 1 beta)
(/ (- 1 (* 4 (/ 1 beta))) beta)
(/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -4 (+ 4 (* -1 alpha))) (* alpha (- alpha 2)))) (pow beta 2)))) (* 4 (/ 1 beta))) beta)
(/ (- (+ 1 (* -1 (/ (+ (* -4 (+ 4 (* alpha (- alpha 2)))) (* -1 (* (+ 4 (* -1 alpha)) (+ 4 (+ (* -4 (+ 4 (* -1 alpha))) (* alpha (- alpha 2))))))) (pow beta 3)))) (+ (* -4 (/ (+ 4 (* -1 alpha)) (pow beta 2))) (+ (* 4 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ (* alpha (- alpha 2)) (pow beta 2)))))) beta)
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
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(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(/ 1 (pow beta 2))
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* alpha (+ 2 alpha)) (+ (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (pow alpha 2))) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* alpha (+ 2 alpha)) (+ (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (pow alpha 2))))) (+ (* (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (* (pow alpha 2) (+ 2 alpha)))) (pow beta 3))))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (+ (/ (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))))) (pow beta 2))
(pow beta 3)
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2)))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (+ (/ (* (pow alpha 2) (+ 2 alpha)) (pow beta 3)) (/ (pow alpha 2) (pow beta 2))))))))
(* beta (- (+ 1 (* 2 (/ 1 beta))) (* 2 (/ alpha beta))))
(* beta (- (+ 1 (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (/ (* (+ 2 alpha) (- 2 (* 2 alpha))) (pow beta 2)))))
(* beta (- (+ 1 (+ (* -1 (/ (* (+ 2 alpha) (- (+ (* 2 (- 2 alpha)) (pow alpha 2)) (* (+ 2 alpha) (- 2 (* 2 alpha))))) (pow beta 3))) (+ (* 2 (/ (- 2 alpha) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ (pow alpha 2) (pow beta 2)))))) (+ (* 2 (/ alpha beta)) (/ (* (+ 2 alpha) (- 2 (* 2 alpha))) (pow beta 2)))))
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(+ 2 (* -1 (/ (+ 2 (+ alpha (* -1 alpha))) beta)))
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(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (+ (* -1 (/ (- (pow (+ 2 alpha) 3) (* alpha (pow (+ 2 alpha) 2))) beta)) (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) beta))))) beta)))
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(+ 1 (* -1/2 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
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(+ 2 (* -1 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
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(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (+ (* -1 (pow alpha 2)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (+ (* 1/2 (+ (* -1 (pow alpha 2)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (* alpha (+ 2 alpha)))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 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 (* beta (- (/ alpha beta) 1)))
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(- (+ 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 (/ (pow alpha 2) beta))) beta))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(+ 1 (* 1/2 (/ (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4)))))) (* 1/2 (/ (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2)))) (+ (* -1 (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4))))))) (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* (+ 2 alpha) (- alpha 4))))) beta))) beta)))
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(- (+ 2 (* -1 (/ (- (+ alpha (* -1 (- 2 alpha))) 2) beta))) (+ (* -1 (/ (- alpha 4) beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 2 (* -1 (/ (- (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4)))))) (* -1 (/ (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))) beta))) (+ (* -1 (/ (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4)))))) beta)) (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) beta)) (/ (* (+ 2 alpha) (- alpha 4)) beta)))) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2)))) (+ (* -1 (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4))))))) (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* (+ 2 alpha) (- alpha 4)))))) (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) beta))) (+ (* -1 (/ (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2)))) (+ (* -1 (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4))))))) (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* (+ 2 alpha) (- alpha 4)))))) beta)) (+ (* -1 (/ (* (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* (+ 2 alpha) (- alpha 4))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4)))))) beta)) (/ (* (+ 2 alpha) (+ 4 (* alpha (- alpha 2)))) beta)))) beta))) beta)))
(* -1 (/ (- (* 4 (/ 1 beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ 4 (+ (* 4 (- alpha 4)) (* alpha (- alpha 2)))) beta)) 4) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -1 (/ (+ (* -1 (* (+ 4 (+ (* 4 (- alpha 4)) (* alpha (- alpha 2)))) (- alpha 4))) (* 4 (+ 4 (* alpha (- alpha 2))))) beta)) (+ (* 4 (- alpha 4)) (* alpha (- alpha 2))))) beta)) 4) beta)) 1) beta))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (pow (+ 2 alpha) 3) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 (* 2 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 (* 2 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (+ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (* -1 (pow alpha 2))))) (* (pow alpha 2) (+ 2 alpha)))) beta)) (* -1 (pow alpha 2))))) beta))) beta))) (pow beta 2))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 2 (* 2 alpha)) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (- (* -1 (- 2 alpha)) 2)) (+ 2 alpha)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -1 (- 2 alpha)) 2)) (* -1 (/ (- (* -1 (+ (* 2 (- 2 alpha)) (pow alpha 2))) (* -1 (* (+ 2 alpha) (- (* -1 (- (* -1 (- 2 alpha)) 2)) (+ 2 alpha))))) beta))) (+ 2 alpha)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -1 (- 2 alpha)) 2)) (* -1 (/ (- (+ (* -1 (+ (* 2 (- 2 alpha)) (pow alpha 2))) (* -1 (/ (* (+ 2 alpha) (- (* -1 (+ (* 2 (- 2 alpha)) (pow alpha 2))) (* -1 (* (+ 2 alpha) (- (* -1 (- (* -1 (- 2 alpha)) 2)) (+ 2 alpha)))))) beta))) (* -1 (* (+ 2 alpha) (- (* -1 (- (* -1 (- 2 alpha)) 2)) (+ 2 alpha))))) beta))) (+ 2 alpha)) beta)) 1)))

Outputs
(+ 1 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 alpha (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 alpha (fma.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.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)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 alpha (fma.f64 alpha (-.f64 (-.f64 (*.f64 alpha (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64))
(pow (+ 1 (/ beta (+ 2 beta))) 2)
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ beta (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 alpha (.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (-.f64 (/.f64 (.f64 beta 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 2 binary64))))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(fma.f64 alpha (fma.f64 alpha (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 alpha (fma.f64 #s(literal -2 binary64) (fma.f64 beta (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (/.f64 (.f64 beta 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 2 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (*.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 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 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 alpha (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))))
(fma.f64 alpha (.f64 #s(literal 1/2 binary64) (fma.f64 alpha (-.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (.f64 beta beta) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.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)))))) (fma.f64 (-.f64 (/.f64 (neg.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 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (-.f64 (/.f64 (neg.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 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))))))))
(fma.f64 alpha (fma.f64 alpha (.f64 #s(literal 1/2 binary64) (fma.f64 alpha (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 beta beta) (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64)))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (/.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)))) (-.f64 (/.f64 (neg.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))) (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (.f64 beta beta) (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.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)))))) (fma.f64 (-.f64 (/.f64 (neg.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 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))) (-.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (.f64 beta beta) (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.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)))))) (fma.f64 (-.f64 (/.f64 (neg.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 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (neg.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 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
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(/ (+ 1 beta) alpha)
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beta
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(/ 1/2 (+ 2 beta))
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(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) alpha)) (.f64 #s(literal 1/2 binary64) (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
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(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
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(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (/ beta alpha) 1))
(*.f64 alpha (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)))
(/ 1/2 alpha)
(/.f64 #s(literal 1/2 binary64) alpha)
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 1/2 binary64)) alpha)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 alpha alpha)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) alpha)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 alpha alpha)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 1 binary64)))
(/ (+ 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 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) #s(literal 2 binary64)) (/.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) 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)
(/.f64 (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) (fma.f64 #s(literal 2 binary64) beta (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (.f64 alpha alpha)))) (fma.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 alpha 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)
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(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (/ beta alpha)))
(.f64 (.f64 alpha alpha) (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)))
(* (pow alpha 2) (+ 1 (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (+.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (/.f64 (.f64 beta beta) (.f64 alpha alpha))))
(* alpha (+ 1 (/ beta alpha)))
(*.f64 alpha (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)))
(* 1/2 (/ (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))) alpha))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) beta) beta) #s(literal 2 binary64)))) alpha))
(/ (+ (* 1/2 (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))) alpha))) alpha)
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(/ (+ (* 1/2 (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) (+ (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))))) (+ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (pow (+ 2 beta) 3) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))) (pow alpha 3))) (+ (* 1/2 (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) (+ (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))) alpha))))) alpha)
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(/ (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))) alpha)
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) beta) beta) #s(literal 2 binary64)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta)))) (+ (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) alpha)) (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) alpha)))) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (+ (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) alpha) (+ (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (pow alpha 2)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) (pow alpha 2)))))))) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))))) (+ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (* (pow (+ 2 beta) 3) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))))))) (+ (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) alpha) (+ (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta)))))))))) (pow alpha 2)) (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ 2 (* 2 beta)) (* -1 (+ 2 (+ beta (* -1 (+ 2 beta))))))) (pow alpha 2)))))))) alpha)
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(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(* -1 (/ (+ 1 (* 2 (/ 1 alpha))) alpha))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha))
(/ (- (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* 2 (+ 2 beta))) (pow alpha 2))) (+ 1 (* 2 (/ 1 alpha)))) alpha)
(/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 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 alpha alpha))) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))) alpha)
(/ (- (* -1 (/ (+ (* -2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ (* -1 (pow (+ 2 beta) 2)) (* 2 (+ 2 beta))))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha)))))) alpha)
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1
#s(literal 1 binary64)
(+ 1 (* 2 (/ beta alpha)))
(fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha)) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (/.f64 (.f64 beta beta) (.f64 alpha alpha)))) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 3))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2)))))))
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(/ beta alpha)
(/.f64 beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) beta) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/.f64 (-.f64 (fma.f64 beta (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 alpha alpha)) beta) (/.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 beta (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 3 binary64))) beta) (fma.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 alpha alpha)))) alpha)
(/ -1 (pow alpha 2))
(/.f64 #s(literal -1 binary64) (*.f64 alpha alpha))
(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 (* 2 beta)) alpha)))) (pow alpha 2))
(/.f64 (-.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))) (*.f64 alpha alpha))
(/ (- (+ (* -1 (/ (+ (* -1 (+ (* beta (+ 2 beta)) (pow beta 2))) (* (+ 2 (* 2 beta)) (- beta (* -1 (+ 2 (* 2 beta)))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 (* 2 beta)) alpha)))) (pow alpha 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (neg.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) beta) (.f64 beta beta)))) (.f64 alpha alpha)) (-.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)))) (*.f64 alpha alpha))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -1 (+ (* beta (+ 2 beta)) (pow beta 2))) (* (+ 2 (* 2 beta)) (- beta (* -1 (+ 2 (* 2 beta)))))))) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (* (+ (* beta (+ 2 beta)) (pow beta 2)) (- beta (* -1 (+ 2 (* 2 beta))))))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ (+ 2 (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* beta (+ 2 beta)) (pow beta 2)) (pow alpha 2))) (/ (* (+ 2 (* 2 beta)) (- beta (* -1 (+ 2 (* 2 beta))))) (pow alpha 2)))))) (pow alpha 2))
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(pow alpha 3)
(pow.f64 alpha #s(literal 3 binary64))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))))
(*.f64 (pow.f64 alpha #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1 binary64)))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (+ (/ (* beta (+ 2 beta)) (pow alpha 2)) (/ (pow beta 2) (pow alpha 2)))))))
(.f64 (pow.f64 alpha #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) beta) (.f64 beta beta)) (*.f64 alpha alpha))) #s(literal 1 binary64)))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (+ (/ (* beta (+ 2 beta)) (pow alpha 2)) (+ (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 3)) (/ (pow beta 2) (pow alpha 2))))))))
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(* alpha (- (+ 1 (* -1 (/ (+ 2 beta) alpha))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) alpha)))
(* alpha (- (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (+ (* 2 (/ 1 alpha)) (+ (/ beta alpha) (/ (* (+ 2 beta) (- (* -1 (+ 2 beta)) (+ 2 beta))) (pow alpha 2))))))
(.f64 alpha (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 alpha alpha))) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha)))))
(* alpha (- (+ 1 (+ (* -1 (/ (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* (+ 2 beta) (- (* -1 (+ 2 beta)) (+ 2 beta))))) (pow alpha 3))) (+ (* -1 (/ (+ 2 beta) alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))) (+ (* 2 (/ 1 alpha)) (+ (/ beta alpha) (/ (* (+ 2 beta) (- (* -1 (+ 2 beta)) (+ 2 beta))) (pow alpha 2))))))
(.f64 alpha (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 alpha alpha)))) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))))))
(+ 2 (* -1 (/ (+ 2 (+ beta (* -1 beta))) alpha)))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 2 binary64))
(+ 2 (* -1 (/ (+ 2 (+ beta (+ (* -1 beta) (* -1 (/ (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))) alpha))))) alpha)))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 0 binary64) beta (neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha))) #s(literal 2 binary64)) alpha) #s(literal 2 binary64))
(+ 2 (* -1 (/ (+ 2 (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (pow (+ 2 beta) 3) (* beta (pow (+ 2 beta) 2))) alpha)) (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))))) alpha)))
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(* -1 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
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(* -1/2 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
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(* -1 (/ (- (+ (* -1 (+ 2 (* 2 beta))) (* -1 (/ (- (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (+ (* -1 (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* -1 (+ 2 (* 2 beta))) (+ 2 (+ beta (* -1 (+ 2 beta))))))) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) alpha))) (+ 2 (+ beta (* -1 (+ 2 beta))))) alpha))
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(* -1 (/ (- (+ (* -1 (+ 2 (* 2 beta))) (* -1 (/ (- (+ (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* -1 (/ (- (* -1 (* beta (pow (+ 2 beta) 2))) (+ (* -1 (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (+ (* -1 (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* -1 (+ 2 (* 2 beta))) (+ 2 (+ beta (* -1 (+ 2 beta))))))) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))))) (+ (* -1 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1 (+ 2 (* 2 beta))) (+ 2 (+ beta (* -1 (+ 2 beta))))))) (pow (+ 2 beta) 3)))) alpha))) (+ (* -1 (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* -1 (+ 2 (* 2 beta))) (+ 2 (+ beta (* -1 (+ 2 beta))))))) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) alpha))) (+ 2 (+ beta (* -1 (+ 2 beta))))) alpha))
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(* -1 (/ (- (+ (* -1 (+ 2 (* 2 beta))) (* -1 (/ (- (+ (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* -1 (/ (- (+ (* -1 (* beta (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* -1 (* beta (pow (+ 2 beta) 2))) (+ (* -1 (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (+ (* -1 (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* -1 (+ 2 (* 2 beta))) (+ 2 (+ beta (* -1 (+ 2 beta))))))) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))))) (+ (* -1 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1 (+ 2 (* 2 beta))) (+ 2 (+ beta (* -1 (+ 2 beta))))))) (pow (+ 2 beta) 3))))) alpha)) (+ (* -1 (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (+ (* -1 (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* -1 (+ 2 (* 2 beta))) (+ 2 (+ beta (* -1 (+ 2 beta))))))) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))))) alpha)) (* -1 (/ (* (pow (+ 2 beta) 3) (- (* -1 (+ 2 (* 2 beta))) (+ 2 (+ beta (* -1 (+ 2 beta)))))) alpha))))) (+ (* -1 (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (+ (* -1 (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* -1 (+ 2 (* 2 beta))) (+ 2 (+ beta (* -1 (+ 2 beta))))))) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))))) (+ (* -1 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1 (+ 2 (* 2 beta))) (+ 2 (+ beta (* -1 (+ 2 beta))))))) (pow (+ 2 beta) 3)))) alpha))) (+ (* -1 (* (+ 2 (+ beta (* -1 (+ 2 beta)))) (- (* -1 (+ 2 (* 2 beta))) (+ 2 (+ beta (* -1 (+ 2 beta))))))) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) alpha))) (+ 2 (+ beta (* -1 (+ 2 beta))))) alpha))
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(/ (- 1 (* 4 (/ 1 beta))) beta)
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(/ (- (+ 1 (* -1 (/ (+ (* -4 (+ 4 (* alpha (- alpha 2)))) (* -1 (* (+ 4 (* -1 alpha)) (+ 4 (+ (* -4 (+ 4 (* -1 alpha))) (* alpha (- alpha 2))))))) (pow beta 3)))) (+ (* -4 (/ (+ 4 (* -1 alpha)) (pow beta 2))) (+ (* 4 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ (* alpha (- alpha 2)) (pow beta 2)))))) beta)
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(+ 1 (* -1 (/ (+ 2 alpha) beta)))
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(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* alpha (+ 2 alpha)) (+ (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha)))) (pow alpha 2))) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) (pow beta 2))
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(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (+ (/ (* (pow alpha 2) (+ 2 alpha)) (pow beta 3)) (/ (pow alpha 2) (pow beta 2))))))))
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(* beta (- (+ 1 (* 2 (/ 1 beta))) (* 2 (/ alpha beta))))
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(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
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(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
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(+ 2 (* -1 (/ (+ 2 (+ alpha (* -1 alpha))) beta)))
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(+ 1 (* -1/2 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
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(+ 2 (* -1 (/ (- (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4)))))) (* -1 (/ (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2))) beta))) (+ (* -1 (/ (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4)))))) beta)) (+ (* -1 (/ (+ 4 (* alpha (- alpha 2))) beta)) (/ (* (+ 2 alpha) (- alpha 4)) beta)))) beta)))
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(+ 2 (* -1 (/ (+ (* -1 (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2)))) (+ (* -1 (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4))))))) (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* (+ 2 alpha) (- alpha 4)))))) (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) beta))) (+ (* -1 (/ (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (- (* -1 (- 2 alpha)) 2)) (pow alpha 2)))) (+ (* -1 (* (+ 2 (+ alpha (* -1 (- alpha 4)))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4))))))) (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* (+ 2 alpha) (- alpha 4)))))) beta)) (+ (* -1 (/ (* (+ (* -1 (+ 4 (* alpha (- alpha 2)))) (* (+ 2 alpha) (- alpha 4))) (- (* -1 (- (+ alpha (* -1 (- 2 alpha))) 2)) (+ 2 (+ alpha (* -1 (- alpha 4)))))) beta)) (/ (* (+ 2 alpha) (+ 4 (* alpha (- alpha 2)))) beta)))) beta))) beta)))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) alpha) (fma.f64 alpha (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 alpha alpha)))) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1 binary64) (-.f64 alpha #s(literal 4 binary64)) alpha) #s(literal 2 binary64))) (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1 binary64) (-.f64 alpha #s(literal 4 binary64)) alpha) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 alpha #s(literal 4 binary64)) (neg.f64 (fma.f64 alpha (-.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 (.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) alpha) (.f64 alpha alpha))) beta)) (/.f64 (neg.f64 (.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (-.f64 alpha #s(literal 4 binary64)) alpha) #s(literal 2 binary64)) (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) alpha) (fma.f64 alpha (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (.f64 alpha alpha)))) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1 binary64) (-.f64 alpha #s(literal 4 binary64)) alpha) #s(literal 2 binary64))) (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1 binary64) (-.f64 alpha #s(literal 4 binary64)) alpha) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 alpha #s(literal 4 binary64)) (neg.f64 (fma.f64 alpha (-.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))))))) beta)) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 alpha (-.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)) beta) (neg.f64 (.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 alpha #s(literal 4 binary64)) (neg.f64 (fma.f64 alpha (-.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1 binary64) (-.f64 alpha #s(literal 4 binary64)) alpha) #s(literal 2 binary64))) beta))))) beta) (neg.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1 binary64) (-.f64 alpha #s(literal 4 binary64)) alpha) #s(literal 2 binary64))))) beta) #s(literal 2 binary64))
(* -1 (/ (- (* 4 (/ 1 beta)) 1) beta))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal 1 binary64)) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ 4 (+ (* 4 (- alpha 4)) (* alpha (- alpha 2)))) beta)) 4) beta)) 1) beta))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (-.f64 alpha #s(literal 4 binary64)) (*.f64 alpha (-.f64 alpha #s(literal 2 binary64)))) #s(literal 4 binary64)) beta)) #s(literal 4 binary64)) beta)) #s(literal 1 binary64)) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -1 (/ (+ (* -1 (* (+ 4 (+ (* 4 (- alpha 4)) (* alpha (- alpha 2)))) (- alpha 4))) (* 4 (+ 4 (* alpha (- alpha 2))))) beta)) (+ (* 4 (- alpha 4)) (* alpha (- alpha 2))))) beta)) 4) beta)) 1) beta))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 alpha (-.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (-.f64 alpha #s(literal 4 binary64)) (.f64 alpha (-.f64 alpha #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 alpha #s(literal 4 binary64))))) beta) (fma.f64 #s(literal 4 binary64) (-.f64 alpha #s(literal 4 binary64)) (*.f64 alpha (-.f64 alpha #s(literal 2 binary64))))) #s(literal 4 binary64)) beta)) #s(literal 4 binary64)) beta)) #s(literal 1 binary64)) beta))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) alpha) (neg.f64 (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta))) beta) #s(literal 4 binary64))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (pow (+ 2 alpha) 3) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 4 (+ 2 alpha))) beta)))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) alpha) (neg.f64 (/.f64 (fma.f64 #s(literal -6 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta))) beta) #s(literal 4 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) beta) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta)) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta) (+.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1 binary64))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 (* 2 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (-.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) (.f64 alpha alpha)) (.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) beta))) beta) #s(literal 1 binary64)) (.f64 beta beta))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 (* 2 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (+ (* -1 (/ (+ (* -1 (* (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (+ (* (+ 2 (* 2 alpha)) (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 alpha) (+ 2 (* 2 alpha))))) (* -1 (pow alpha 2))))) (* (pow alpha 2) (+ 2 alpha)))) beta)) (* -1 (pow alpha 2))))) beta))) beta))) (pow beta 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (fma.f64 alpha (+.f64 #s(literal 2 binary64) alpha) (.f64 alpha alpha)))) (-.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) (.f64 alpha alpha)) (.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) (.f64 (.f64 alpha alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta) (.f64 alpha alpha)) (neg.f64 (.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))))))) beta) (neg.f64 (-.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))))) beta) #s(literal 1 binary64)) (.f64 beta beta))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 2 (* 2 alpha)) beta)) 1)))
(neg.f64 (*.f64 (pow.f64 beta #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) #s(literal 1 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(neg.f64 (.f64 (pow.f64 beta #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) alpha (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 alpha (+.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) beta))) #s(literal 2 binary64)) beta)) #s(literal 1 binary64))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))
(neg.f64 (.f64 (pow.f64 beta #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) alpha (neg.f64 (/.f64 (fma.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha) (.f64 #s(literal -1 binary64) (fma.f64 (.f64 alpha alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (.f64 alpha alpha)))) beta))) #s(literal 2 binary64)) beta)) #s(literal 1 binary64))))
(* -1 (* beta (- (* -1 (/ (- (* -1 (- (* -1 (- 2 alpha)) 2)) (+ 2 alpha)) beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal 1 binary64)))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -1 (- 2 alpha)) 2)) (* -1 (/ (- (* -1 (+ (* 2 (- 2 alpha)) (pow alpha 2))) (* -1 (* (+ 2 alpha) (- (* -1 (- (* -1 (- 2 alpha)) 2)) (+ 2 alpha))))) beta))) (+ 2 alpha)) beta)) 1)))
(.f64 (neg.f64 beta) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) alpha) (.f64 alpha alpha))) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (-.f64 (neg.f64 (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) alpha)))) beta) (neg.f64 (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal 1 binary64)))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -1 (- 2 alpha)) 2)) (* -1 (/ (- (+ (* -1 (+ (* 2 (- 2 alpha)) (pow alpha 2))) (* -1 (/ (* (+ 2 alpha) (- (* -1 (+ (* 2 (- 2 alpha)) (pow alpha 2))) (* -1 (* (+ 2 alpha) (- (* -1 (- (* -1 (- 2 alpha)) 2)) (+ 2 alpha)))))) beta))) (* -1 (* (+ 2 alpha) (- (* -1 (- (* -1 (- 2 alpha)) 2)) (+ 2 alpha))))) beta))) (+ 2 alpha)) beta)) 1)))
(.f64 (neg.f64 beta) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) alpha) (.f64 alpha alpha))) (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (-.f64 (neg.f64 (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) alpha))))) beta) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) alpha) (.f64 alpha alpha)))) (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (-.f64 (neg.f64 (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) alpha)))) beta) (neg.f64 (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal 1 binary64)))

rewrite220.0ms (2.8%)

Memory

-6.4MiB live, 269.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	422
0	95	456
1	469	314
2	4580	314
0	8805	314

Stop Event

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

Counts

24 → 607

Calls

Call 1

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

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

eval312.0ms (4%)

Memory: 40.2MiB live, 419.1MiB allocated
Compiler: Compiled 78 544 to 6 788 computations (91.4% saved)

prune94.0ms (1.2%)

Memory

-40.0MiB live, 86.0MiB allocated

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1 250	9	1 259
Fresh	2	10	12
Picked	3	2	5
Done	1	2	3
Total	1 256	23	1 279

Accuracy

100.0%

Counts

1 279 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 1/2 binary64))
✓	71.1%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	68.2%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
	45.9%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
	68.9%	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	3.9%	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	32.0%	(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(approx (/ (- beta alpha) ( (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta)))) (/.f64 #s(literal -1 binary64) (*.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	48.9%	(/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	44.6%	(/.f64 (fma.f64 #s(approx (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (/.f64 (neg.f64 alpha) (fma.f64 alpha (-.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	71.6%	(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
	48.0%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) alpha)) (*.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))
	69.9%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64))
	9.6%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) #s(approx (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha)))) #s(literal 2 binary64))
	24.1%	(/.f64 (/.f64 (-.f64 #s(approx (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
	29.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (-.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))
	25.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha))
	32.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64)))) alpha))
	26.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
✓	34.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	32.4%	#s(approx (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (/ (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4) 2)) 1/2) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta) (neg.f64 (*.f64 #s(literal 3 binary64) beta))) alpha)))
	47.8%	#s(approx (+ (* (/ (- beta alpha) (+ 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 2 545 to 761 computations (70.1% saved)

regimes86.0ms (1.1%)

Memory

37.4MiB live, 74.4MiB allocated

Counts

47 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (- beta alpha) (+ 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 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ 2 (+ alpha beta)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (-.f64 #s(literal 1 binary64) beta) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64)))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha))
(/.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) (+ 8 (pow (+ alpha beta) 3))) (/ (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4) 2)) 1/2) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) beta (neg.f64 (-.f64 beta #s(literal 2 binary64))))) (.f64 #s(literal 3 binary64) beta)) alpha)))
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (/ (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4) 2)) 1/2) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta) (neg.f64 (*.f64 #s(literal 3 binary64) beta))) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(approx (/ (- beta alpha) ( (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta)))) (/.f64 #s(literal -1 binary64) (*.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (-.f64 beta alpha) (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(approx (/ (- beta alpha) (+ (* alpha (- alpha (+ 2 beta))) (pow (+ 2 beta) 2))) (/.f64 (neg.f64 alpha) (fma.f64 alpha (-.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(approx (* (+ (/ beta (+ 2 (+ alpha beta))) 1) (+ (/ beta (+ 2 (+ alpha beta))) 1)) (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) #s(approx (+ (+ (/ beta (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta)))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha)))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (/.f64 (.f64 (neg.f64 alpha) alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (/.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(approx (pow (+ 2 beta) 3) (fma.f64 beta (fma.f64 beta (+.f64 #s(literal 6 binary64) beta) #s(literal 12 binary64)) #s(literal 8 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 alpha (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha 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) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
(/.f64 (/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) alpha)) (*.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 alpha)) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (+.f64 #s(literal 2 binary64) beta)) beta) (neg.f64 alpha))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))

Outputs

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

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

Calls

5 calls:

34.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
13.0ms	beta
13.0ms	alpha
12.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
11.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
96.4%	2	`alpha`
71.6%	1	`beta`
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 35 to 30 computations (14.3% saved)

regimes53.0ms (0.7%)

Memory

-0.7MiB live, 38.6MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

36.0ms

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

8.0ms

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

7.0ms

(/.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
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)

regimes25.0ms (0.3%)

Memory

-16.6MiB live, 25.8MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

13.0ms

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

5.0ms

(/.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 (-.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

-15.1MiB live, 21.5MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

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
99.4%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.4%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.4%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes12.0ms (0.2%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

4.0ms

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

Results

Accuracy	Segments	Branch
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)

regimes31.0ms (0.4%)

Memory

-19.2MiB live, 19.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Calls

3 calls:

23.0ms

(/.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
97.7%	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)

regimes10.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (- beta alpha) (+ 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 alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #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
75.8%	2	`alpha`
96.4%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
96.4%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
96.4%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes36.0ms (0.5%)

Memory

-17.9MiB live, 20.5MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

5 calls:

28.0ms	beta
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
51.8%	2	`beta`
60.0%	2	`alpha`
63.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
63.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
63.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes7.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

#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)))
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
53.6%	2	`alpha`
57.2%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
57.2%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
57.2%	2	`(/.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

12.3MiB live, 12.3MiB allocated

Accuracy

Total -20.1b remaining (-48.2%)

Threshold costs -20.1b (-48.2%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999934617	-0.9999999939422659

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (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

0.5MiB live, 0.5MiB 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

0.5MiB live, 0.5MiB 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

0.5MiB 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)

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

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0007219303786676287	0.9903743172416978
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	-0.9433530500535358	-0.03271644552313695

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	-0.9433530500535358	-0.03271644552313695

Compiler

Compiled 16 to 16 computations (0% saved)

simplify96.0ms (1.2%)

Memory

-20.4MiB live, 64.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	508
1	116	508
2	157	508
3	203	508
4	304	508
5	463	508
6	870	508
7	1610	508
8	3080	508
9	6537	508

Stop Event

1×	node limit

Calls

Call 1

Inputs
(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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.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 -2251799802426249/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 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)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ (+ alpha beta) 2) (+.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 #s(literal 2 binary64) 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) (/.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 alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #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 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.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 #s(literal 1 binary64) alpha))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -2251799802426249/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.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 -2251799802426249/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (fma.f64 (-.f64 beta alpha) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 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)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ (+ alpha beta) 2) (+.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 #s(literal 2 binary64) 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) (/.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 alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #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 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.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 #s(literal 1 binary64) alpha))) #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) #s(approx (/ (+ 1 beta) alpha) (pow.f64 alpha #s(literal -1 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))

soundness899.0ms (11.5%)

Memory

3.2MiB live, 644.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2607	21545
0	8648	20261
0	2642	23620
0	8772	22153
0	10	44
0	16	44
1	86	44
2	628	44
0	8529	43
0	433	2178
1	1507	2045
2	5969	1957
0	8060	1860
0	46	351
0	82	335
1	420	251
2	3830	251
0	8164	251

Stop Event

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

Compiler

Compiled 1 023 to 299 computations (70.8% saved)

preprocess86.0ms (1.1%)

Memory: 15.4MiB live, 93.0MiB allocated
Compiler: Compiled 1 042 to 174 computations (83.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze25.0ms (0.3%)

sample1.3s (16.6%)

explain217.0ms (2.8%)

preprocess213.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify163.0ms (2.1%)

localize99.0ms (1.3%)

series12.0ms (0.2%)

simplify203.0ms (2.6%)

rewrite273.0ms (3.5%)

eval111.0ms (1.4%)

prune41.0ms (0.5%)

simplify144.0ms (1.8%)

localize201.0ms (2.6%)

series106.0ms (1.3%)

simplify259.0ms (3.3%)

rewrite224.0ms (2.9%)

eval253.0ms (3.2%)

prune36.0ms (0.5%)

simplify173.0ms (2.2%)

localize183.0ms (2.3%)

series48.0ms (0.6%)

simplify247.0ms (3.2%)

rewrite209.0ms (2.7%)

eval156.0ms (2%)

prune30.0ms (0.4%)

simplify131.0ms (1.7%)

localize246.0ms (3.1%)

series97.0ms (1.2%)

simplify426.0ms (5.4%)

rewrite220.0ms (2.8%)

eval312.0ms (4%)

prune94.0ms (1.2%)

regimes86.0ms (1.1%)

regimes53.0ms (0.7%)

regimes25.0ms (0.3%)

regimes18.0ms (0.2%)

regimes12.0ms (0.2%)

regimes31.0ms (0.4%)

regimes10.0ms (0.1%)

regimes36.0ms (0.5%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify96.0ms (1.2%)

soundness899.0ms (11.5%)

preprocess86.0ms (1.1%)

end0.0ms (0%)

Profiling