Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

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)

sample1.9s (22.9%)

Memory

-23.5MiB live, 2 771.7MiB allocated; 554ms collecting garbage

Samples

637.0ms	6 071×	0	valid
394.0ms	779×	2	valid
299.0ms	1 406×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

adjust: 315.0ms (30.7% of total)

ival-add: 269.0ms (26.2% of total)

ival-div: 260.0ms (25.4% of total)

ival-sub: 94.0ms (9.2% of total)

ival->: 55.0ms (5.4% of total)

exact: 16.0ms (1.6% of total)

ival-and: 13.0ms (1.3% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain208.0ms (2.5%)

Memory

18.8MiB live, 205.5MiB allocated; 24ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
75	-	-	`(+.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	75	0

Confusion

	Predicted +	Predicted -
+	75	0
-	0	181

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	75	0	0
-	0	0	181

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	181
1	75

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms	60×	2	valid
37.0ms	364×	0	valid
14.0ms	88×	1	valid

Compiler

Compiled 113 to 34 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-div: 38.0ms (49.6% of total)

ival-add: 24.0ms (31.3% of total)

adjust: 9.0ms (11.7% of total)

ival-sub: 4.0ms (5.2% of total)

exact: 1.0ms (1.3% of total)

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

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

preprocess226.0ms (2.8%)

Memory

-17.0MiB live, 183.5MiB allocated; 35ms collecting garbage

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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.6%	(/.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)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series14.0ms (0.2%)

Memory

27.4MiB live, 27.4MiB allocated; 0ms collecting garbage

Counts

10 → 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)
beta
alpha
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)
#s(literal 2 binary64)
#s(literal 1 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
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ alpha beta)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (/ beta alpha)))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(- beta alpha)
(+ 2 alpha)
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (/ alpha beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))

Calls

6 calls:

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

simplify162.0ms (2%)

Memory

-2.0MiB live, 182.4MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2178
1	1507	2045
2	5976	1957
0	8067	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
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ alpha beta)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (/ beta alpha)))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(- beta alpha)
(+ 2 alpha)
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (/ alpha beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))

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

rewrite220.0ms (2.7%)

Memory

-9.2MiB live, 218.8MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
0	16	48
1	86	48
2	628	48
0	8529	47

Stop Event

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

Counts

10 → 442

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 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (+.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))) (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (-.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 2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #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 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64)) #s(literal 1 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 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
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(-.f64 beta alpha)
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beta
alpha
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(-.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))
(.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))))
(.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)))
(.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)))
(.f64 (/.f64 (.f64 (-.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (-.f64 alpha beta) (+.f64 alpha beta))) (+.f64 alpha beta))
(.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)))
(.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))))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (+.f64 alpha beta))
(*.f64 (/.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)))
(.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))))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)) (neg.f64 (+.f64 alpha beta)))
(.f64 (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha)) (/.f64 (+.f64 alpha beta) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (-.f64 beta alpha)))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 alpha beta) (-.f64 alpha beta)))
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta))) (-.f64 alpha beta))
(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))))) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)))
(/.f64 (-.f64 (.f64 (.f64 alpha (/.f64 alpha (-.f64 alpha beta))) (.f64 alpha (/.f64 alpha (-.f64 alpha beta)))) (.f64 (.f64 beta (/.f64 beta (-.f64 alpha beta))) (.f64 beta (/.f64 beta (-.f64 alpha beta))))) (fma.f64 alpha (/.f64 alpha (-.f64 alpha beta)) (*.f64 beta (/.f64 beta (-.f64 alpha beta)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) (/.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))) (/.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 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 (.f64 alpha (/.f64 alpha (-.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (.f64 beta (/.f64 beta (-.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (.f64 alpha (/.f64 alpha (-.f64 alpha beta))) (.f64 alpha (/.f64 alpha (-.f64 alpha beta))) (fma.f64 (.f64 beta (/.f64 beta (-.f64 alpha beta))) (.f64 beta (/.f64 beta (-.f64 alpha beta))) (.f64 (.f64 alpha (/.f64 alpha (-.f64 alpha beta))) (*.f64 beta (/.f64 beta (-.f64 alpha beta)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) (-.f64 (.f64 (/.f64 (pow.f64 beta #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 beta alpha) beta (.f64 alpha alpha))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)))))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (.f64 (-.f64 alpha beta) (.f64 beta beta))) (pow.f64 (-.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha)) (.f64 (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha)) (pow.f64 beta #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 alpha #s(literal 4 binary64)) (pow.f64 beta #s(literal 4 binary64))) (.f64 (fma.f64 alpha alpha (.f64 beta beta)) (-.f64 alpha beta)))
(/.f64 (-.f64 (pow.f64 beta #s(literal 4 binary64)) (pow.f64 alpha #s(literal 4 binary64))) (.f64 (fma.f64 alpha alpha (.f64 beta beta)) (-.f64 beta alpha)))
(/.f64 (-.f64 (pow.f64 alpha #s(literal 6 binary64)) (pow.f64 beta #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 beta beta) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 alpha #s(literal 4 binary64))) (-.f64 alpha beta)))
(/.f64 (-.f64 (pow.f64 alpha #s(literal 6 binary64)) (pow.f64 beta #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))))
(/.f64 (-.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 alpha #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta beta)) (pow.f64 beta #s(literal 4 binary64))) (-.f64 beta alpha)))
(/.f64 (+.f64 (pow.f64 beta #s(literal 9 binary64)) (pow.f64 alpha #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 alpha #s(literal 6 binary64)) (-.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 beta alpha))
(/.f64 (*.f64 (-.f64 alpha beta) (+.f64 alpha beta)) (-.f64 alpha beta))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)))
(neg.f64 (neg.f64 (+.f64 alpha beta)))
(fma.f64 (/.f64 (pow.f64 beta #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 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))))
(fma.f64 (/.f64 (pow.f64 beta #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 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(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 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))))
(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 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(fma.f64 (/.f64 (.f64 alpha alpha) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (/.f64 (*.f64 (neg.f64 beta) beta) (-.f64 alpha beta)))
(fma.f64 (/.f64 (.f64 alpha alpha) (.f64 (-.f64 alpha beta) (+.f64 alpha beta))) (+.f64 alpha beta) (/.f64 (*.f64 (neg.f64 beta) beta) (-.f64 alpha beta)))
(fma.f64 (pow.f64 beta #s(literal 3/2 binary64)) (/.f64 (pow.f64 beta #s(literal 3/2 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))))
(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 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))))
(fma.f64 (neg.f64 alpha) (/.f64 (neg.f64 alpha) (-.f64 alpha beta)) (/.f64 (*.f64 (neg.f64 beta) beta) (-.f64 alpha beta)))
(fma.f64 (fabs.f64 alpha) (/.f64 (fabs.f64 alpha) (-.f64 alpha beta)) (/.f64 (*.f64 (neg.f64 beta) beta) (-.f64 alpha beta)))
(fma.f64 (.f64 beta beta) (/.f64 beta (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(fma.f64 (.f64 alpha alpha) (/.f64 alpha (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))))
(fma.f64 alpha (/.f64 (.f64 alpha alpha) (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))))
(fma.f64 alpha (/.f64 alpha (-.f64 alpha beta)) (/.f64 (*.f64 (neg.f64 beta) beta) (-.f64 alpha beta)))
(fma.f64 beta (/.f64 (.f64 beta beta) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))))
(-.f64 (/.f64 (.f64 beta beta) (-.f64 beta alpha)) (/.f64 (.f64 alpha alpha) (-.f64 beta alpha)))
(-.f64 (.f64 alpha (/.f64 alpha (-.f64 alpha beta))) (.f64 beta (/.f64 beta (-.f64 alpha beta))))
(+.f64 (/.f64 (.f64 beta beta) (-.f64 beta alpha)) (.f64 alpha (/.f64 alpha (-.f64 alpha beta))))
(+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) (/.f64 (pow.f64 alpha #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 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 alpha (/.f64 alpha (-.f64 alpha beta))) (/.f64 (.f64 (neg.f64 beta) beta) (-.f64 alpha beta)))
(+.f64 alpha beta)
(+.f64 beta alpha)
#s(literal 2 binary64)
#s(literal 1 binary64)

eval86.0ms (1.1%)

Memory: 26.6MiB live, 135.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 19 121 to 2 499 computations (86.9% saved)

prune28.0ms (0.3%)

Memory

2.0MiB live, 47.0MiB allocated; 3ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	513	15	528
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	514	15	529

Accuracy

100.0%

Counts

529 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(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))
▶	73.6%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	40.7%	(/.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))
	73.2%	(/.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))
	46.3%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (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))))
	46.2%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64)) #s(literal 1 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))))
▶	46.2%	(/.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)))
	27.3%	(/.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))
▶	70.7%	#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)))
	30.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
	28.4%	#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)))
	30.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
▶	28.6%	#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))
	48.4%	#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)))
▶	37.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 900 to 516 computations (42.7% saved)

simplify0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

series109.0ms (1.3%)

Memory

-17.7MiB live, 73.5MiB allocated; 7ms collecting garbage

Counts

31 → 299

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
49.0ms	beta	@	-inf	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) beta alpha (+ 2 (+ alpha beta)) 2 (+ alpha beta) 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) 1 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 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))) -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (* (+ (* 2 beta) 2) (+ 2 beta)) (+ (* 2 beta) 2) (/ (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2)) (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (/ (- alpha beta) (+ 2 (+ alpha beta))) (- alpha beta) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1))
17.0ms	alpha	@	0	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) beta alpha (+ 2 (+ alpha beta)) 2 (+ alpha beta) 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) 1 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 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))) -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (* (+ (* 2 beta) 2) (+ 2 beta)) (+ (* 2 beta) 2) (/ (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2)) (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (/ (- alpha beta) (+ 2 (+ alpha beta))) (- alpha beta) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1))
10.0ms	beta	@	0	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) beta alpha (+ 2 (+ alpha beta)) 2 (+ alpha beta) 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) 1 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 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))) -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (* (+ (* 2 beta) 2) (+ 2 beta)) (+ (* 2 beta) 2) (/ (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2)) (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (/ (- alpha beta) (+ 2 (+ alpha beta))) (- alpha beta) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1))
9.0ms	alpha	@	-inf	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) beta alpha (+ 2 (+ alpha beta)) 2 (+ alpha beta) 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) 1 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 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))) -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (* (+ (* 2 beta) 2) (+ 2 beta)) (+ (* 2 beta) 2) (/ (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2)) (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (/ (- alpha beta) (+ 2 (+ alpha beta))) (- alpha beta) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1))
8.0ms	beta	@	inf	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) beta alpha (+ 2 (+ alpha beta)) 2 (+ alpha beta) 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) 1 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 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))) -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (* (+ (* 2 beta) 2) (+ 2 beta)) (+ (* 2 beta) 2) (/ (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2)) (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (/ (- alpha beta) (+ 2 (+ alpha beta))) (- alpha beta) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1))

simplify347.0ms (4.2%)

Memory

5.1MiB live, 252.3MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1549	14602
1	5354	14461
0	8210	13574

Stop Event

1×	iter limit
1×	node limit

Counts

299 → 297

Calls

Call 1

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

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

rewrite282.0ms (3.4%)

Memory

-9.7MiB live, 267.9MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	300
0	62	300
1	300	296
2	2294	282
0	8742	282

Stop Event

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

Counts

31 → 484

Calls

Call 1

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

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

eval265.0ms (3.2%)

Memory: -8.0MiB live, 293.5MiB allocated; 68ms collecting garbage
Compiler: Compiled 49 987 to 5 132 computations (89.7% saved)

prune40.0ms (0.5%)

Memory

-10.4MiB live, 83.1MiB allocated; 7ms collecting garbage

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	983	13	996
Fresh	5	5	10
Picked	3	2	5
Done	0	0	0
Total	991	20	1 011

Accuracy

100.0%

Counts

1 011 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.6%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	45.8%	(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))
	3.8%	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	40.7%	(/.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))
	46.3%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (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))))
	46.2%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64)) #s(literal 1 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))))
▶	45.8%	(/.f64 (-.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 (+.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)))
	46.2%	(/.f64 (-.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 (+.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)))
▶	70.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	28.4%	#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)))
	30.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
▶	24.0%	#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))
	6.7%	#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 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) beta)) (.f64 beta beta)))) alpha))
	41.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
	42.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
▶	30.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
▶	46.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	37.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	48.4%	#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)))
	27.7%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (neg.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha)) #s(literal -1/2 binary64)))) alpha))) alpha))) alpha))

Compiler

Compiled 1 257 to 727 computations (42.2% saved)

simplify0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

series33.0ms (0.4%)

Memory

36.2MiB live, 79.8MiB allocated; 5ms collecting garbage

Counts

35 → 261

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	beta	@	0	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) beta (/ 1/2 (+ 2 beta)) 1/2 (+ 2 beta) 2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ 1 beta)) 1 (/ 1 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))) -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (- (/ 4 alpha) 2) (/ 4 alpha) 4 alpha (/ (- (/ (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (+ (+ alpha beta) 2)) 1) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2)) (- (/ (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (+ (+ alpha beta) 2)) 1) (/ (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (+ (+ alpha beta) 2)) (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)))
3.0ms	alpha	@	0	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) beta (/ 1/2 (+ 2 beta)) 1/2 (+ 2 beta) 2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ 1 beta)) 1 (/ 1 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))) -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (- (/ 4 alpha) 2) (/ 4 alpha) 4 alpha (/ (- (/ (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (+ (+ alpha beta) 2)) 1) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2)) (- (/ (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (+ (+ alpha beta) 2)) 1) (/ (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (+ (+ alpha beta) 2)) (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)))
3.0ms	alpha	@	-inf	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) beta (/ 1/2 (+ 2 beta)) 1/2 (+ 2 beta) 2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ 1 beta)) 1 (/ 1 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))) -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (- (/ 4 alpha) 2) (/ 4 alpha) 4 alpha (/ (- (/ (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (+ (+ alpha beta) 2)) 1) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2)) (- (/ (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (+ (+ alpha beta) 2)) 1) (/ (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (+ (+ alpha beta) 2)) (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)))
3.0ms	beta	@	-inf	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) beta (/ 1/2 (+ 2 beta)) 1/2 (+ 2 beta) 2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ 1 beta)) 1 (/ 1 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))) -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (- (/ 4 alpha) 2) (/ 4 alpha) 4 alpha (/ (- (/ (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (+ (+ alpha beta) 2)) 1) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2)) (- (/ (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (+ (+ alpha beta) 2)) 1) (/ (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (+ (+ alpha beta) 2)) (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)))
3.0ms	beta	@	inf	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) beta (/ 1/2 (+ 2 beta)) 1/2 (+ 2 beta) 2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ 1 beta)) 1 (/ 1 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))) -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (- (/ 4 alpha) 2) (/ 4 alpha) 4 alpha (/ (- (/ (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (+ (+ alpha beta) 2)) 1) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2)) (- (/ (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (+ (+ alpha beta) 2)) 1) (/ (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (+ (+ alpha beta) 2)) (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta) (* (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) 2) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)))

simplify290.0ms (3.6%)

Memory

10.8MiB live, 471.1MiB allocated; 112ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1471	13921
1	4976	13791
0	9514	12751

Stop Event

1×	iter limit
1×	node limit

Counts

261 → 259

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))))))))))
(* -1/2 (/ (* (+ 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)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(/ 4 alpha)
(/ (+ 4 (* -2 alpha)) alpha)
alpha
(* 1/2 (/ (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1) (- (/ beta (+ 2 beta)) 1)))
(+ (* 1/2 (* alpha (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (/ beta (+ 2 beta)) 1)))) (+ (* -1 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (/ beta (+ 2 beta)) 1) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (/ beta (+ 2 beta)) 1))))))) (* 1/2 (/ (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1) (- (/ beta (+ 2 beta)) 1))))
(+ (* 1/2 (/ (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1) (- (/ beta (+ 2 beta)) 1))) (* alpha (+ (* 1/2 (* alpha (- (/ 1 (* (pow (+ 2 beta) 2) (- (/ beta (+ 2 beta)) 1))) (+ (* -1 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (/ beta (+ 2 beta)) 1)))) (+ (* -1 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (/ beta (+ 2 beta)) 1) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (/ beta (+ 2 beta)) 1)))))) (- (/ beta (+ 2 beta)) 1))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* (pow (+ 2 beta) 2) (- (/ beta (+ 2 beta)) 1))) (+ (/ (* (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (/ beta (+ 2 beta)) 1) 2)) (/ (pow beta 2) (* (pow (+ 2 beta) 4) (- (/ beta (+ 2 beta)) 1))))))))) (* 1/2 (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (/ beta (+ 2 beta)) 1)))) (+ (* -1 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (/ beta (+ 2 beta)) 1) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (/ beta (+ 2 beta)) 1)))))))))
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(- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)
(- (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) 1)
(- (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) 1)
(- (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))))) (/ 1 (pow (+ 2 beta) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) 1)
(/ (pow beta 2) (pow (+ 2 beta) 2))
(+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))))) (/ 1 (pow (+ 2 beta) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(/ (pow beta 2) (+ 2 beta))
(+ (* alpha (- (* -2 (/ beta (+ 2 beta))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+ (* alpha (- (+ (* -2 (/ beta (+ 2 beta))) (* alpha (- (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -2 (/ beta (pow (+ 2 beta) 2)))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+ (* alpha (- (+ (* -2 (/ beta (+ 2 beta))) (* alpha (- (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3)))) (* -2 (/ beta (pow (+ 2 beta) 2)))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow 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))
(+ alpha beta)
(* 2 (- (/ beta (+ 2 beta)) 1))
(+ (* -2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 2 (- (/ beta (+ 2 beta)) 1)))
(+ (* 2 (- (/ beta (+ 2 beta)) 1)) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 2 (- (/ beta (+ 2 beta)) 1)) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(- (/ beta (+ 2 beta)) 1)
(- (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) 1)
(- (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) 1)
(- (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) 1)
(* 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 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)
(* 1/2 (+ 2 (* 2 beta)))
(+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta))))
(* -1 (+ 2 (* 2 beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
-2
(- (* 4 (/ 1 alpha)) 2)
(* -1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))
(/ (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* 1/2 (/ (- (* -1/2 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/4 (* (+ 2 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))))) alpha))) alpha)
(/ (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (+ (* 1/2 (/ (- (* -1/2 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/4 (* (+ 2 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))))) alpha)) (* 1/2 (/ (- (* 1/2 (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))))) (+ (* -1/2 (* (+ 2 (* 2 beta)) (- (* -1/2 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/4 (* (+ 2 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))))))) (* 1/4 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))))) (pow alpha 2))))) alpha)
(/ (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (+ (* 1/2 (/ (- (* -1/2 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/4 (* (+ 2 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))))) alpha)) (+ (* 1/2 (/ (- (* 1/2 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))))) (+ (* -1/2 (* (+ 2 (* 2 beta)) (- (* 1/2 (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))))) (+ (* -1/2 (* (+ 2 (* 2 beta)) (- (* -1/2 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/4 (* (+ 2 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))))))) (* 1/4 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))))))) (+ (* -1/2 (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (* -1/2 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/4 (* (+ 2 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))))))) (* 1/4 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))))))) (pow alpha 3))) (* 1/2 (/ (- (* 1/2 (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))))) (+ (* -1/2 (* (+ 2 (* 2 beta)) (- (* -1/2 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/4 (* (+ 2 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))))))) (* 1/4 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))))) (pow alpha 2)))))) alpha)
(/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)
(/ (- (+ (* -2 beta) (/ (pow beta 2) alpha)) (+ 4 (+ (* 2 beta) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha) (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (+ (* -2 beta) (+ (* -1 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (/ (pow beta 2) alpha))) (+ 4 (+ (* 2 beta) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha) (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (+ (* -2 beta) (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))))) (pow alpha 3))) (/ (pow beta 2) alpha))) (+ 4 (+ (* 2 beta) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha) (+ (/ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 2)) (+ (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) alpha))))))) alpha)
1
(- (+ 1 (* -2 (/ beta alpha))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))
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(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
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(- (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) 2)
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(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
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1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1/4
(+ 1/4 (* -1/8 beta))
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2
(/ -1 beta)
(/ (- beta 1) beta)
(/ 1 beta)
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(- (+ (* 4 (/ 1 alpha)) (* beta (- (* 6 (/ 1 alpha)) 2))) 2)
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(- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)
(- (+ (* beta (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) 1)
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(- (+ (* beta (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (- (+ (* beta (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -2 (/ alpha (pow (+ 2 alpha) 4))) (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))))) (/ 1 (pow (+ 2 alpha) 2))) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) 1)
(/ (pow alpha 2) (pow (+ 2 alpha) 2))
(+ (* beta (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
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(/ (pow alpha 2) (+ 2 alpha))
(+ (* beta (- (* -2 (/ alpha (+ 2 alpha))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
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(* -1 (/ alpha (+ 2 alpha)))
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(- beta alpha)
(+ 2 alpha)
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(* -1 (+ 1 (/ alpha (+ 2 alpha))))
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(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(/ 1/2 beta)
(/ (- 1/2 (/ 1 beta)) beta)
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (/ 1 beta)) beta)
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) beta)
(* beta (+ 1 (* 2 (/ 1 beta))))
(* -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)))
(* 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)))))
(* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (+ 2 (* 2 alpha))))
(+ (* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (+ 2 (* 2 alpha)))) (* 1/2 (/ (- (* -1 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (* 2 alpha)) 2))) beta)))
(+ (* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (+ 2 (* 2 alpha)))) (+ (* 1/2 (/ (- (* -1 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (* 2 alpha)) 2))) beta)) (* 1/2 (/ (- (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (+ 2 (* 2 alpha))) (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (+ 2 (* 2 alpha)))) (+ (* -1 (/ (* (- (* -1 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (* 2 alpha)) 2))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (pow (+ 2 (* 2 alpha)) 2)))) (pow beta 2)))))
(+ (* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (+ 2 (* 2 alpha)))) (+ (* 1/2 (/ (- (* -1 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (* 2 alpha)) 2))) beta)) (+ (* 1/2 (/ (- (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))))) (+ 2 (* 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (+ 2 (* 2 alpha)))) (+ (* -1 (/ (* (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (- (* -1 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (* 2 alpha)) 2)))) (+ 2 (* 2 alpha)))) (+ (* -1 (/ (* (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (- (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (+ 2 (* 2 alpha))) (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (+ 2 (* 2 alpha)))) (+ (* -1 (/ (* (- (* -1 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (* 2 alpha)) 2))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (pow (+ 2 (* 2 alpha)) 2))))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* alpha (pow (+ 2 alpha) 3)) (* -1 (pow (+ 2 alpha) 4)))) (pow (+ 2 (* 2 alpha)) 2))))) (pow beta 3))) (* 1/2 (/ (- (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (+ 2 (* 2 alpha))) (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (+ 2 (* 2 alpha)))) (+ (* -1 (/ (* (- (* -1 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (* 2 alpha)) 2))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (pow (+ 2 (* 2 alpha)) 2)))) (pow beta 2))))))
(/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta)
(/ (- (+ (* -2 alpha) (/ (pow alpha 2) beta)) (+ 4 (+ (* 2 alpha) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) beta) (/ (pow (+ 2 alpha) 2) beta))))) beta)
(/ (- (+ (* -2 alpha) (+ (* -1 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))) (/ (pow alpha 2) beta))) (+ 4 (+ (* 2 alpha) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) beta) (/ (pow (+ 2 alpha) 2) beta))))) beta)
(/ (- (+ (* -2 alpha) (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))))) (pow beta 3))) (/ (pow alpha 2) beta))) (+ 4 (+ (* 2 alpha) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) beta) (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (pow beta 2)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) beta))))))) beta)
(- (+ 1 (* -2 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))
(- (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(- (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(* beta (- (+ 1 (* -2 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (- (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))) (pow beta 2))))))
(* beta (- (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -1 (/ (* (+ 2 alpha) (- (pow alpha 2) (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))) (pow beta 2))))))
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (/ alpha beta)))
(* -2 (/ (+ 2 (* 2 alpha)) beta))
(/ (+ (* -2 (+ 2 (* 2 alpha))) (* 2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) beta))) beta)
(/ (+ (* -2 (+ 2 (* 2 alpha))) (+ (* 2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 2))) (* 2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) beta)))) beta)
(/ (+ (* -2 (+ 2 (* 2 alpha))) (+ (* 2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 2))) (+ (* 2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 2 (/ (- (* alpha (pow (+ 2 alpha) 3)) (* -1 (pow (+ 2 alpha) 4))) (pow beta 3)))))) beta)
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(/ (- (/ (* alpha (+ 2 alpha)) beta) (+ 2 (+ (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* 2 alpha)))) beta)
(/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) (+ 2 (+ (* -1 (/ (pow (+ 2 alpha) 2) beta)) (+ (* 2 alpha) (/ (pow (+ 2 alpha) 3) (pow beta 2)))))) beta)
(/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (+ (/ (* alpha (+ 2 alpha)) beta) (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ 2 (+ (* -1 (/ (pow (+ 2 alpha) 2) beta)) (+ (* -1 (/ (pow (+ 2 alpha) 4) (pow beta 3))) (+ (* 2 alpha) (/ (pow (+ 2 alpha) 3) (pow beta 2))))))) beta)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(* -1 (/ (- (/ 1 beta) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 beta)) 1) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1) beta)) 1/2) beta))
(* (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)))
(* (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))))
(* -1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- (* -1 alpha) (+ 2 alpha))))
(+ (* -1/2 (/ (- (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- (* -1 alpha) (+ 2 alpha)))))
(+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))) (* (+ 2 alpha) (- (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))))))) beta)) (* 1/2 (- (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))))) beta)) (* -1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- (* -1 alpha) (+ 2 alpha)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))))) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1 (/ (* (pow (+ 2 alpha) 3) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* (+ 2 alpha) (- (+ (* -2 (/ (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))) (* (+ 2 alpha) (- (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))))))) (* (pow (+ 2 alpha) 2) (- (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))))))) beta)) (* 1/2 (- (+ (* -2 (/ (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))) (* (+ 2 alpha) (- (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))))))))) beta)) (* 1/2 (- (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))))) beta)) (* -1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- (* -1 alpha) (+ 2 alpha)))))
(* -1 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta))
(* -1 (/ (- (+ (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))
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(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))))) beta)) (pow alpha 2)) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))
(+ 1 (* -1 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta)))
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(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) beta) (pow alpha 2))) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta)))
(* -1 (* beta (- (* -1 (/ (- (* -2 alpha) (+ 2 alpha)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (- (* -1 (pow alpha 2)) (* -1 (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))))) beta))) (+ 2 alpha)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (- (* -1 (pow alpha 2)) (* -1 (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha)))))) beta)) (* -1 (pow alpha 2))) (* -1 (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))))) beta))) (+ 2 alpha)) beta)) 1)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* 2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))) beta))
(/ (- (* -1 alpha) (+ 2 alpha)) beta)
(* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))
(* -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 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) 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 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) (pow alpha 2))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))) (*.f64 alpha alpha))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) alpha)
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(+ (* 1/2 (/ (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1) (- (/ beta (+ 2 beta)) 1))) (* alpha (+ (* 1/2 (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (/ beta (+ 2 beta)) 1)))) (+ (* -1 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (/ beta (+ 2 beta)) 1) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (/ beta (+ 2 beta)) 1)))))) (* alpha (+ (* 1/2 (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 6) (- (/ beta (+ 2 beta)) 1))) (+ (* -2 (/ beta (* (pow (+ 2 beta) 4) (- (/ beta (+ 2 beta)) 1)))) (+ (* -1 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (* (pow (+ 2 beta) 2) (- (/ beta (+ 2 beta)) 1))) (+ (* -1 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (/ beta (+ 2 beta)) 1)))) (+ (* -1 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (/ beta (+ 2 beta)) 1) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (/ beta (+ 2 beta)) 1)))))) (- (/ beta (+ 2 beta)) 1))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* (pow (+ 2 beta) 2) (- (/ beta (+ 2 beta)) 1))) (+ (/ (* (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (/ beta (+ 2 beta)) 1) 2)) (/ (pow beta 2) (* (pow (+ 2 beta) 4) (- (/ beta (+ 2 beta)) 1)))))))) (- (/ beta (+ 2 beta)) 1))) (+ (* -1 (/ (* (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (/ beta (+ 2 beta)) 1) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (* (pow (+ 2 beta) 2) (- (/ beta (+ 2 beta)) 1))) (/ (* (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (/ beta (+ 2 beta)) 1)))) (+ (* -1 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (/ beta (+ 2 beta)) 1) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (/ beta (+ 2 beta)) 1))))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (- (/ beta (+ 2 beta)) 1))))))))) (* 1/2 (- (/ 1 (* (pow (+ 2 beta) 2) (- (/ beta (+ 2 beta)) 1))) (+ (* -1 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (/ beta (+ 2 beta)) 1)))) (+ (* -1 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (/ beta (+ 2 beta)) 1) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 4) (- (/ beta (+ 2 beta)) 1)))))) (- (/ beta (+ 2 beta)) 1))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* (pow (+ 2 beta) 2) (- (/ beta (+ 2 beta)) 1))) (+ (/ (* (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)) (pow (- (/ beta (+ 2 beta)) 1) 2)) (/ (pow beta 2) (* (pow (+ 2 beta) 4) (- (/ beta (+ 2 beta)) 1)))))))))))))
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(/ (pow beta 2) (pow (+ 2 beta) 2))
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(/ (pow beta 2) (+ 2 beta))
(/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta))
(+ (* alpha (- (* -2 (/ beta (+ 2 beta))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
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beta
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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(* alpha (- (+ 1 (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (* (+ 2 beta) (- (pow beta 2) (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))))) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2))))) (+ (* 2 (/ 1 alpha)) (+ (/ beta alpha) (/ (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))) (pow alpha 2))))))
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(- (+ (/ 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)))))
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(* 1/4 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha) #s(literal 1/4 binary64))
(* -1 (/ (+ (* -1/2 (/ (- (* -1/2 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/4 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/2 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/4 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* -1/4 (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -2 (+ 2 beta))))))) alpha)) (* 1/2 (- (* -1/2 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/4 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (+ (* 2 (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* 1/2 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/2 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/4 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* -1/4 (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -2 (+ 2 beta))))))))) (+ (* -1/4 (* (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (- (* 2 beta) (* -2 (+ 2 beta))))) (* 1/2 (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (- (* -1/2 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/4 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta))))))))))) alpha)) (* 1/2 (- (* 1/2 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/2 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/4 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* -1/4 (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -2 (+ 2 beta))))))))) alpha)) (* 1/2 (- (* -1/2 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/4 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))
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(/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (-.f64 (.f64 alpha alpha) (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) beta) (*.f64 alpha alpha)) (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) (neg.f64 beta))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))))) beta)) (pow alpha 2)) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))
(/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 alpha alpha (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (-.f64 (.f64 alpha alpha) (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) (+.f64 #s(literal 2 binary64) alpha)))) beta) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (-.f64 (*.f64 alpha alpha) (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))))) (neg.f64 beta))) (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) (neg.f64 beta))
(+ 1 (* -1 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta)))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta)))
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (neg.f64 beta)) (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) (neg.f64 beta)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) beta) (pow alpha 2))) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (-.f64 (.f64 alpha alpha) (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) beta) (*.f64 alpha alpha)) (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(* -1 (* beta (- (* -1 (/ (- (* -2 alpha) (+ 2 alpha)) beta)) 1)))
(.f64 (neg.f64 beta) (-.f64 (/.f64 (-.f64 (-.f64 (.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) alpha) (neg.f64 beta)) #s(literal 1 binary64)))
(* -1 (* beta (- (* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (- (* -1 (pow alpha 2)) (* -1 (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))))) beta))) (+ 2 alpha)) beta)) 1)))
(.f64 (neg.f64 beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha (-.f64 (/.f64 (-.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (-.f64 (.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) alpha))) (neg.f64 beta)) (+.f64 #s(literal 2 binary64) alpha))) (neg.f64 beta)) #s(literal 1 binary64)))
(* -1 (* beta (- (* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (- (* -1 (pow alpha 2)) (* -1 (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha)))))) beta)) (* -1 (pow alpha 2))) (* -1 (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))))) beta))) (+ 2 alpha)) beta)) 1)))
(.f64 (neg.f64 beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha (-.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha (/.f64 (.f64 (-.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (-.f64 (.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) alpha))) (+.f64 #s(literal 2 binary64) alpha)) beta))) (.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (-.f64 (*.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) alpha))) (neg.f64 beta)) (+.f64 #s(literal 2 binary64) alpha))) (neg.f64 beta)) #s(literal 1 binary64)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 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)))
(fma.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.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)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) #s(literal 1 binary64)))
(* 2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))
(/.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)) #s(literal 2 binary64) (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) #s(literal -2 binary64))) (neg.f64 beta))
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))
(/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) #s(literal -2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)) #s(literal 2 binary64))) (neg.f64 beta))) (neg.f64 beta))
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))) beta))
(/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) #s(literal -2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)) #s(literal 2 binary64))) (neg.f64 beta))) (neg.f64 beta))) (neg.f64 beta))
(/ (- (* -1 alpha) (+ 2 alpha)) beta)
(/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)
(* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) (neg.f64 beta))
(* -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 (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) (neg.f64 beta))
(* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) beta))
(/.f64 (neg.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta))) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) (neg.f64 beta))

rewrite256.0ms (3.1%)

Memory

7.2MiB live, 374.0MiB allocated; 130ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	403
0	73	377
1	329	359
2	2370	359
0	8294	351

Stop Event

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

Counts

35 → 377

Calls

Call 1

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

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

eval115.0ms (1.4%)

Memory: 29.4MiB live, 263.3MiB allocated; 30ms collecting garbage
Compiler: Compiled 41 010 to 3 819 computations (90.7% saved)

prune29.0ms (0.4%)

Memory

-20.9MiB live, 78.3MiB allocated; 9ms collecting garbage

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	707	6	713
Fresh	4	9	13
Picked	1	4	5
Done	0	2	2
Total	712	21	733

Accuracy

100.0%

Counts

733 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.6%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	45.8%	(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))
	3.8%	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	40.7%	(/.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))
	46.2%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	46.2%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))
	46.3%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (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))))
	43.8%	(/.f64 (-.f64 (/.f64 #s(approx (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (/.f64 (.f64 alpha alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.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)))
✓	70.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	41.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (+ 2 beta)) (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
▶	42.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (+ 2 beta)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
▶	28.4%	#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)))
▶	30.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	24.0%	#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 (pow.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64))))) alpha))
✓	24.0%	#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))
	6.7%	#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 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) beta)) (.f64 beta beta)))) alpha))
✓	30.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
✓	46.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	37.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
▶	48.4%	#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)))
	27.7%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (neg.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha)) #s(literal -1/2 binary64)))) alpha))) alpha))) alpha))

Compiler

Compiled 1 306 to 721 computations (44.8% saved)

simplify0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

series45.0ms (0.6%)

Memory

3.1MiB live, 96.0MiB allocated; 4ms collecting garbage

Counts

42 → 302

Calls

Call 1

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

Outputs
(+ 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)))))))))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(* 1/2 alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
alpha
2
(+ 2 alpha)
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(/ (+ 1 beta) alpha)
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(pow beta 2)
(+ (* alpha beta) (pow beta 2))
(+ (* alpha (+ alpha beta)) (pow beta 2))
beta
(+ alpha beta)
(/ 1 (* beta (+ 2 beta)))
(+ (* -1 (* alpha (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (pow (+ 2 beta) 2)))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2)))))))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (pow (+ 2 beta) 2)))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2)))))) (+ (* beta (+ 2 beta)) (pow beta 2))) (* (pow beta 2) (+ 2 beta)))) (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2))))))) (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2)))))))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (pow (+ 2 beta) 2)))))) (/ 1 (* beta (+ 2 beta))))
(+ beta (* -1 alpha))
(* (pow beta 2) (+ 2 beta))
(+ (* alpha (+ (* beta (+ 2 beta)) (pow beta 2))) (* (pow beta 2) (+ 2 beta)))
(+ (* alpha (+ (* alpha (+ 2 (* 2 beta))) (+ (* beta (+ 2 beta)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))
(+ (* alpha (+ (* alpha (+ 2 (+ alpha (* 2 beta)))) (+ (* beta (+ 2 beta)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))))) (pow alpha 3))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))))) (pow alpha 2))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ 2 (* 2 beta)))) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))))) (pow alpha 2))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) alpha)
(* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))
(/ (- (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) alpha)
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)
(* -1 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)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
1
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ (+ 2 (* 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 (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))
(* alpha (- (/ beta alpha) 1))
(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 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))) alpha)
(* -1/2 (+ 2 (* 2 beta)))
(+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))
(+ (* -1/2 (+ 2 (* 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))
(+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)))
(* (+ 2 beta) (+ 2 (* 2 beta)))
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))
(* -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 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) 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))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(/ (- (* -1 (/ (- (* -1 beta) (+ 2 (* 2 beta))) alpha)) 1) (pow alpha 2))
(/ (- (* -1 (/ (- (+ (* -1 beta) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (- (* -1 beta) (+ 2 (* 2 beta)))) alpha)) (* -1 (/ (pow beta 2) alpha))))) (+ 2 (* 2 beta))) alpha)) 1) (pow alpha 2))
(/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow beta 2))) (- (* -1 beta) (+ 2 (* 2 beta)))) alpha)) (+ (/ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 (* 2 beta)) (- (* -1 beta) (+ 2 (* 2 beta))))) (* -1 (pow beta 2))))) alpha) (/ (* (pow beta 2) (+ 2 beta)) alpha))) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 (* 2 beta)) (- (* -1 beta) (+ 2 (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ 2 (* 2 beta))) alpha)) 1) (pow alpha 2))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 2 (* 2 beta)) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta))))
(* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1/4
(+ 1/4 (* -1/8 beta))
(+ 1/4 (* beta (- (* 1/16 beta) 1/8)))
(+ 1/4 (* beta (- (* beta (+ 1/16 (* -1/32 beta))) 1/8)))
(+ (/ 1 alpha) (/ beta alpha))
(+ 1 beta)
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(+ (* alpha beta) (pow alpha 2))
(+ (* beta (+ alpha beta)) (pow alpha 2))
(/ -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))))
(- (* 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))))
(- beta alpha)
(* (pow alpha 2) (+ 2 alpha))
(+ (* beta (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (* (pow alpha 2) (+ 2 alpha)))
(+ (* beta (+ (* alpha (+ 2 alpha)) (+ (* beta (+ 2 (* 2 alpha))) (pow alpha 2)))) (* (pow alpha 2) (+ 2 alpha)))
(+ (* beta (+ (* alpha (+ 2 alpha)) (+ (* beta (+ 2 (+ beta (* 2 alpha)))) (pow alpha 2)))) (* (pow alpha 2) (+ 2 alpha)))
(* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha))
(+ (* -1 (* beta (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)))) (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)))
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* -1/2 (/ (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2))))) alpha)))))
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* beta (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))))))
(- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) 1))) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) 1))) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))))) 1))) 1)
-2
(- (* -2 beta) 2)
(* -2 beta)
(* -1 beta)
(* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha))
(+ (* 1/2 (* beta (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)))
(+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))))))
(+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (+ (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2))))))))))
(* -1/2 (- 4 (* 8 (/ 1 alpha))))
(+ (* -1/2 (* beta (- 6 (* 16 (/ 1 alpha))))) (* -1/2 (- 4 (* 8 (/ 1 alpha)))))
(+ (* -1/2 (- 4 (* 8 (/ 1 alpha)))) (* beta (+ (* -1/2 (* beta (- 2 (* 10 (/ 1 alpha))))) (* -1/2 (- 6 (* 16 (/ 1 alpha)))))))
(+ (* -1/2 (- 4 (* 8 (/ 1 alpha)))) (* beta (+ (* -1/2 (- 6 (* 16 (/ 1 alpha)))) (* beta (+ (* -1/2 (- 2 (* 10 (/ 1 alpha)))) (/ beta alpha))))))
(- 4 (* 8 (/ 1 alpha)))
(- (+ 4 (* beta (- 6 (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha)))
(- (+ 4 (* beta (- (+ 6 (* beta (- 2 (* 10 (/ 1 alpha))))) (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha)))
(- (+ 4 (* beta (- (+ 6 (* beta (- (+ 2 (* -2 (/ beta alpha))) (* 10 (/ 1 alpha))))) (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha)))
4
(+ 4 (* 6 beta))
(+ 4 (* beta (+ 6 (* 2 beta))))
(+ 2 (* 2 beta))
(/ 8 alpha)
(+ (* 16 (/ beta alpha)) (* 8 (/ 1 alpha)))
(+ (* beta (+ (* 10 (/ beta alpha)) (* 16 (/ 1 alpha)))) (* 8 (/ 1 alpha)))
(+ (* beta (+ (* beta (+ (* 2 (/ beta alpha)) (* 10 (/ 1 alpha)))) (* 16 (/ 1 alpha)))) (* 8 (/ 1 alpha)))
8
(+ 8 (* 16 beta))
(+ 8 (* beta (+ 16 (* 10 beta))))
(+ 8 (* beta (+ 16 (* beta (+ 10 (* 2 beta))))))
(+ 4 (* 4 beta))
(+ 4 (* beta (+ 4 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)))))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(/ 1/2 beta)
(/ (- 1/2 (/ 1 beta)) beta)
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (/ 1 beta)) beta)
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) beta)
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ 1 (/ 1 beta)))
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(* (pow beta 2) (+ 1 (/ alpha beta)))
(* (pow beta 2) (+ 1 (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))
(* beta (+ 1 (/ 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))
(* beta (+ 1 (* -1 (/ alpha beta))))
(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)) (/ alpha beta))))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 3))) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))))
(* -1 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3))))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (/ 1 (pow alpha 2))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (/ 1 (pow alpha 2))))
(/ (pow beta 3) alpha)
(* (pow beta 3) (+ (* -1/2 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (/ 1 alpha)))
(* (pow beta 3) (+ (* -1/2 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (+ (* -1/2 (/ (- 6 (* 16 (/ 1 alpha))) (pow beta 2))) (/ 1 alpha))))
(* (pow beta 3) (+ (* -1/2 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (+ (* -1/2 (/ (- 4 (* 8 (/ 1 alpha))) (pow beta 3))) (+ (* -1/2 (/ (- 6 (* 16 (/ 1 alpha))) (pow beta 2))) (/ 1 alpha)))))
(* -2 (/ (pow beta 3) alpha))
(* (pow beta 3) (- (* 2 (/ 1 beta)) (+ (* 2 (/ 1 alpha)) (/ 10 (* alpha beta)))))
(* (pow beta 3) (- (+ (* 2 (/ 1 beta)) (/ 6 (pow beta 2))) (+ (* 2 (/ 1 alpha)) (+ (* 16 (/ 1 (* alpha (pow beta 2)))) (/ 10 (* alpha beta))))))
(* (pow beta 3) (- (+ (* 2 (/ 1 beta)) (+ (* 4 (/ 1 (pow beta 3))) (/ 6 (pow beta 2)))) (+ (* 2 (/ 1 alpha)) (+ (* 16 (/ 1 (* alpha (pow beta 2)))) (+ (/ 8 (* alpha (pow beta 3))) (/ 10 (* alpha beta)))))))
(* 2 (pow beta 2))
(* (pow beta 2) (+ 2 (* 6 (/ 1 beta))))
(* (pow beta 2) (+ 2 (+ (* 6 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* 2 beta)
(* beta (+ 2 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* 2 (/ (pow beta 3) alpha))
(* (pow beta 3) (+ (* 2 (/ 1 alpha)) (* 10 (/ 1 (* alpha beta)))))
(* (pow beta 3) (+ (* 2 (/ 1 alpha)) (+ (/ 10 (* alpha beta)) (/ 16 (* alpha (pow beta 2))))))
(* (pow beta 3) (+ (* 2 (/ 1 alpha)) (+ (* 16 (/ 1 (* alpha (pow beta 2)))) (+ (* 8 (/ 1 (* alpha (pow beta 3)))) (/ 10 (* alpha beta))))))
(* 2 (pow beta 3))
(* (pow beta 3) (+ 2 (* 10 (/ 1 beta))))
(* (pow beta 3) (+ 2 (+ (* 10 (/ 1 beta)) (/ 16 (pow beta 2)))))
(* (pow beta 3) (+ 2 (+ (* 10 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (/ 16 (pow beta 2))))))
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(* -1 (/ (- (/ 1 beta) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 beta)) 1) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1) beta)) 1/2) beta))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(/ (+ 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 (* beta (- (/ alpha beta) 1)))
(* -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 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha beta))) (/ 1 (* alpha beta)))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (* alpha beta)))) (/ 1 (* alpha beta))) beta)) (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (* 1/2 (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (/ 1 alpha))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (- 2 (* 10 (/ 1 alpha)))) (* 1/2 (/ (- (* 16 (/ 1 alpha)) 6) beta))) beta)) (/ 1 alpha))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 16 (/ 1 alpha)) 6)) (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) beta))) beta)) (* -1/2 (- 2 (* 10 (/ 1 alpha))))) beta)) (/ 1 alpha))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 16 (/ 1 alpha)) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (- 4 (* 8 (/ 1 alpha))) beta)) (* 16 (/ 1 alpha))) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 alpha)) (* 16 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 alpha)) (+ (/ 8 (* alpha (pow beta 2))) (/ 16 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 10 (* 16 (/ 1 beta))) beta)) 2)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 10 (+ (* 16 (/ 1 beta)) (/ 8 (pow beta 2)))) beta)) 2)))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	beta	@	inf	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) alpha (+ 2 alpha) 2 -1/2 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) beta (/ 1/2 (+ 2 beta)) 1/4 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) 1 (/ (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) 2) (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) (+ (* (+ alpha beta) alpha) (* beta beta)) (+ alpha beta) (* beta beta) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta)))) (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (- (- (neg beta) beta) 2) (- (neg beta) beta) (neg beta) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha)) (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) (* (+ (* 2 beta) 2) (+ 2 beta)) (+ (* 2 beta) 2) (+ 2 beta) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha) (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2) (neg alpha))
6.0ms	alpha	@	inf	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) alpha (+ 2 alpha) 2 -1/2 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) beta (/ 1/2 (+ 2 beta)) 1/4 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) 1 (/ (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) 2) (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) (+ (* (+ alpha beta) alpha) (* beta beta)) (+ alpha beta) (* beta beta) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta)))) (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (- (- (neg beta) beta) 2) (- (neg beta) beta) (neg beta) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha)) (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) (* (+ (* 2 beta) 2) (+ 2 beta)) (+ (* 2 beta) 2) (+ 2 beta) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha) (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2) (neg alpha))
6.0ms	alpha	@	0	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) alpha (+ 2 alpha) 2 -1/2 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) beta (/ 1/2 (+ 2 beta)) 1/4 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) 1 (/ (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) 2) (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) (+ (* (+ alpha beta) alpha) (* beta beta)) (+ alpha beta) (* beta beta) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta)))) (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (- (- (neg beta) beta) 2) (- (neg beta) beta) (neg beta) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha)) (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) (* (+ (* 2 beta) 2) (+ 2 beta)) (+ (* 2 beta) 2) (+ 2 beta) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha) (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2) (neg alpha))
5.0ms	beta	@	-inf	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) alpha (+ 2 alpha) 2 -1/2 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) beta (/ 1/2 (+ 2 beta)) 1/4 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) 1 (/ (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) 2) (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) (+ (* (+ alpha beta) alpha) (* beta beta)) (+ alpha beta) (* beta beta) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta)))) (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (- (- (neg beta) beta) 2) (- (neg beta) beta) (neg beta) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha)) (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) (* (+ (* 2 beta) 2) (+ 2 beta)) (+ (* 2 beta) 2) (+ 2 beta) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha) (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2) (neg alpha))
5.0ms	beta	@	0	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) alpha (+ 2 alpha) 2 -1/2 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) beta (/ 1/2 (+ 2 beta)) 1/4 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) 1 (/ (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) 2) (+ (* (+ (* (+ alpha beta) alpha) (* beta beta)) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))))) 1) (+ (* (+ alpha beta) alpha) (* beta beta)) (+ alpha beta) (* beta beta) (/ (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta)))) (- beta alpha) (* (+ (* (+ alpha beta) alpha) (* beta beta)) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (- (- (neg beta) beta) 2) (- (neg beta) beta) (neg beta) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha)) (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) (* (+ (* 2 beta) 2) (+ 2 beta)) (+ (* 2 beta) 2) (+ 2 beta) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha) (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2) (neg alpha))

simplify298.0ms (3.6%)

Memory

-15.1MiB live, 273.7MiB allocated; 78ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1416	7490
1	5099	7399
0	8059	6989

Stop Event

1×	iter limit
1×	node limit

Counts

302 → 300

Calls

Call 1

Inputs
(+ 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)))))))))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(* 1/2 alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
alpha
2
(+ 2 alpha)
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(/ (+ 1 beta) alpha)
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(pow beta 2)
(+ (* alpha beta) (pow beta 2))
(+ (* alpha (+ alpha beta)) (pow beta 2))
beta
(+ alpha beta)
(/ 1 (* beta (+ 2 beta)))
(+ (* -1 (* alpha (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (pow (+ 2 beta) 2)))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2)))))))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (pow (+ 2 beta) 2)))))) (/ 1 (* beta (+ 2 beta))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2)))))) (+ (* beta (+ 2 beta)) (pow beta 2))) (* (pow beta 2) (+ 2 beta)))) (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2))))))) (+ (* -1 (/ (* (+ (* beta (+ 2 beta)) (pow beta 2)) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))))) (* (pow beta 2) (+ 2 beta)))) (+ (* 2 (/ 1 (* (pow beta 2) (pow (+ 2 beta) 2)))) (* 2 (/ 1 (* (pow beta 3) (pow (+ 2 beta) 2)))))))) (+ (* 2 (/ 1 (* (pow beta 2) (+ 2 beta)))) (/ 1 (* beta (pow (+ 2 beta) 2)))))) (/ 1 (* beta (+ 2 beta))))
(+ beta (* -1 alpha))
(* (pow beta 2) (+ 2 beta))
(+ (* alpha (+ (* beta (+ 2 beta)) (pow beta 2))) (* (pow beta 2) (+ 2 beta)))
(+ (* alpha (+ (* alpha (+ 2 (* 2 beta))) (+ (* beta (+ 2 beta)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))
(+ (* alpha (+ (* alpha (+ 2 (+ alpha (* 2 beta)))) (+ (* beta (+ 2 beta)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))))) (pow alpha 3))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))))) (pow alpha 2))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ 2 (* 2 beta)))) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))))) (pow alpha 2))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) alpha)
(* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))
(/ (- (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) alpha)
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)
(* -1 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)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
1
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ (+ 2 (* 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 (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))
(* alpha (- (/ beta alpha) 1))
(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 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))) alpha)
(* -1/2 (+ 2 (* 2 beta)))
(+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))
(+ (* -1/2 (+ 2 (* 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))
(+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)))
(* (+ 2 beta) (+ 2 (* 2 beta)))
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))
(* -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 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) 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))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(/ (- (* -1 (/ (- (* -1 beta) (+ 2 (* 2 beta))) alpha)) 1) (pow alpha 2))
(/ (- (* -1 (/ (- (+ (* -1 beta) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (- (* -1 beta) (+ 2 (* 2 beta)))) alpha)) (* -1 (/ (pow beta 2) alpha))))) (+ 2 (* 2 beta))) alpha)) 1) (pow alpha 2))
(/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow beta 2))) (- (* -1 beta) (+ 2 (* 2 beta)))) alpha)) (+ (/ (* (+ 2 (* 2 beta)) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 (* 2 beta)) (- (* -1 beta) (+ 2 (* 2 beta))))) (* -1 (pow beta 2))))) alpha) (/ (* (pow beta 2) (+ 2 beta)) alpha))) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 (* 2 beta)) (- (* -1 beta) (+ 2 (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ 2 (* 2 beta))) alpha)) 1) (pow alpha 2))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 2 (* 2 beta)) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta))))
(* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1/4
(+ 1/4 (* -1/8 beta))
(+ 1/4 (* beta (- (* 1/16 beta) 1/8)))
(+ 1/4 (* beta (- (* beta (+ 1/16 (* -1/32 beta))) 1/8)))
(+ (/ 1 alpha) (/ beta alpha))
(+ 1 beta)
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(+ (* alpha beta) (pow alpha 2))
(+ (* beta (+ alpha beta)) (pow alpha 2))
(/ -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))))
(- (* 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))))
(- beta alpha)
(* (pow alpha 2) (+ 2 alpha))
(+ (* beta (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (* (pow alpha 2) (+ 2 alpha)))
(+ (* beta (+ (* alpha (+ 2 alpha)) (+ (* beta (+ 2 (* 2 alpha))) (pow alpha 2)))) (* (pow alpha 2) (+ 2 alpha)))
(+ (* beta (+ (* alpha (+ 2 alpha)) (+ (* beta (+ 2 (+ beta (* 2 alpha)))) (pow alpha 2)))) (* (pow alpha 2) (+ 2 alpha)))
(* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha))
(+ (* -1 (* beta (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)))) (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)))
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* -1/2 (/ (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2))))) alpha)))))
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* beta (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))))))
(- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) 1))) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) 1))) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))))) 1))) 1)
-2
(- (* -2 beta) 2)
(* -2 beta)
(* -1 beta)
(* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha))
(+ (* 1/2 (* beta (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)))
(+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))))))
(+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (+ (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2))))))))))
(* -1/2 (- 4 (* 8 (/ 1 alpha))))
(+ (* -1/2 (* beta (- 6 (* 16 (/ 1 alpha))))) (* -1/2 (- 4 (* 8 (/ 1 alpha)))))
(+ (* -1/2 (- 4 (* 8 (/ 1 alpha)))) (* beta (+ (* -1/2 (* beta (- 2 (* 10 (/ 1 alpha))))) (* -1/2 (- 6 (* 16 (/ 1 alpha)))))))
(+ (* -1/2 (- 4 (* 8 (/ 1 alpha)))) (* beta (+ (* -1/2 (- 6 (* 16 (/ 1 alpha)))) (* beta (+ (* -1/2 (- 2 (* 10 (/ 1 alpha)))) (/ beta alpha))))))
(- 4 (* 8 (/ 1 alpha)))
(- (+ 4 (* beta (- 6 (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha)))
(- (+ 4 (* beta (- (+ 6 (* beta (- 2 (* 10 (/ 1 alpha))))) (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha)))
(- (+ 4 (* beta (- (+ 6 (* beta (- (+ 2 (* -2 (/ beta alpha))) (* 10 (/ 1 alpha))))) (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha)))
4
(+ 4 (* 6 beta))
(+ 4 (* beta (+ 6 (* 2 beta))))
(+ 2 (* 2 beta))
(/ 8 alpha)
(+ (* 16 (/ beta alpha)) (* 8 (/ 1 alpha)))
(+ (* beta (+ (* 10 (/ beta alpha)) (* 16 (/ 1 alpha)))) (* 8 (/ 1 alpha)))
(+ (* beta (+ (* beta (+ (* 2 (/ beta alpha)) (* 10 (/ 1 alpha)))) (* 16 (/ 1 alpha)))) (* 8 (/ 1 alpha)))
8
(+ 8 (* 16 beta))
(+ 8 (* beta (+ 16 (* 10 beta))))
(+ 8 (* beta (+ 16 (* beta (+ 10 (* 2 beta))))))
(+ 4 (* 4 beta))
(+ 4 (* beta (+ 4 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)))))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(/ 1/2 beta)
(/ (- 1/2 (/ 1 beta)) beta)
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (/ 1 beta)) beta)
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) beta)
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ 1 (/ 1 beta)))
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(* (pow beta 2) (+ 1 (/ alpha beta)))
(* (pow beta 2) (+ 1 (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))
(* beta (+ 1 (/ 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))
(* beta (+ 1 (* -1 (/ alpha beta))))
(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)) (/ alpha beta))))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 3))) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))))
(* -1 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3))))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (/ 1 (pow alpha 2))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (/ 1 (pow alpha 2))))
(/ (pow beta 3) alpha)
(* (pow beta 3) (+ (* -1/2 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (/ 1 alpha)))
(* (pow beta 3) (+ (* -1/2 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (+ (* -1/2 (/ (- 6 (* 16 (/ 1 alpha))) (pow beta 2))) (/ 1 alpha))))
(* (pow beta 3) (+ (* -1/2 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (+ (* -1/2 (/ (- 4 (* 8 (/ 1 alpha))) (pow beta 3))) (+ (* -1/2 (/ (- 6 (* 16 (/ 1 alpha))) (pow beta 2))) (/ 1 alpha)))))
(* -2 (/ (pow beta 3) alpha))
(* (pow beta 3) (- (* 2 (/ 1 beta)) (+ (* 2 (/ 1 alpha)) (/ 10 (* alpha beta)))))
(* (pow beta 3) (- (+ (* 2 (/ 1 beta)) (/ 6 (pow beta 2))) (+ (* 2 (/ 1 alpha)) (+ (* 16 (/ 1 (* alpha (pow beta 2)))) (/ 10 (* alpha beta))))))
(* (pow beta 3) (- (+ (* 2 (/ 1 beta)) (+ (* 4 (/ 1 (pow beta 3))) (/ 6 (pow beta 2)))) (+ (* 2 (/ 1 alpha)) (+ (* 16 (/ 1 (* alpha (pow beta 2)))) (+ (/ 8 (* alpha (pow beta 3))) (/ 10 (* alpha beta)))))))
(* 2 (pow beta 2))
(* (pow beta 2) (+ 2 (* 6 (/ 1 beta))))
(* (pow beta 2) (+ 2 (+ (* 6 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* 2 beta)
(* beta (+ 2 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* 2 (/ (pow beta 3) alpha))
(* (pow beta 3) (+ (* 2 (/ 1 alpha)) (* 10 (/ 1 (* alpha beta)))))
(* (pow beta 3) (+ (* 2 (/ 1 alpha)) (+ (/ 10 (* alpha beta)) (/ 16 (* alpha (pow beta 2))))))
(* (pow beta 3) (+ (* 2 (/ 1 alpha)) (+ (* 16 (/ 1 (* alpha (pow beta 2)))) (+ (* 8 (/ 1 (* alpha (pow beta 3)))) (/ 10 (* alpha beta))))))
(* 2 (pow beta 3))
(* (pow beta 3) (+ 2 (* 10 (/ 1 beta))))
(* (pow beta 3) (+ 2 (+ (* 10 (/ 1 beta)) (/ 16 (pow beta 2)))))
(* (pow beta 3) (+ 2 (+ (* 10 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (/ 16 (pow beta 2))))))
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(* -1 (/ (- (/ 1 beta) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 beta)) 1) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1) beta)) 1/2) beta))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(/ (+ 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 (* beta (- (/ alpha beta) 1)))
(* -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 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha beta))) (/ 1 (* alpha beta)))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (* alpha beta)))) (/ 1 (* alpha beta))) beta)) (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (* 1/2 (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (/ 1 alpha))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (- 2 (* 10 (/ 1 alpha)))) (* 1/2 (/ (- (* 16 (/ 1 alpha)) 6) beta))) beta)) (/ 1 alpha))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 16 (/ 1 alpha)) 6)) (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) beta))) beta)) (* -1/2 (- 2 (* 10 (/ 1 alpha))))) beta)) (/ 1 alpha))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 16 (/ 1 alpha)) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (- 4 (* 8 (/ 1 alpha))) beta)) (* 16 (/ 1 alpha))) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 alpha)) (* 16 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 alpha)) (+ (/ 8 (* alpha (pow beta 2))) (/ 16 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 10 (* 16 (/ 1 beta))) beta)) 2)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 10 (+ (* 16 (/ 1 beta)) (/ 8 (pow beta 2)))) beta)) 2)))

Outputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(fma.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha))
(+ 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)))))))))
(fma.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) alpha (.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 alpha))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64))
(* 1/2 alpha)
(*.f64 #s(literal 1/2 binary64) alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) alpha)
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) alpha)
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) alpha)
alpha
2
#s(literal 2 binary64)
(+ 2 alpha)
(+.f64 #s(literal 2 binary64) alpha)
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
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(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha beta))) (/ 1 (* alpha beta)))) beta)) (/ 1 (pow alpha 3)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 alpha beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (* alpha beta)))) (/ 1 (* alpha beta))) beta)) (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) alpha) #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (.f64 alpha alpha))) beta) (neg.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha))) (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta)) (neg.f64 beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) beta) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (* 1/2 (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (.f64 alpha alpha))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 beta))) #s(literal 1 binary64)) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) beta) #s(literal -1/2 binary64) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) #s(literal 1/2 binary64))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (.f64 alpha alpha))) beta) #s(literal -1/2 binary64) (.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64))) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (/ 1 alpha))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 10 binary64) alpha)) beta) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (- 2 (* 10 (/ 1 alpha)))) (* 1/2 (/ (- (* 16 (/ 1 alpha)) 6) beta))) beta)) (/ 1 alpha))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) alpha) #s(literal 6 binary64)) beta) #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 10 binary64) alpha)) #s(literal -1/2 binary64))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) alpha)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 16 (/ 1 alpha)) 6)) (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) beta))) beta)) (* -1/2 (- 2 (* 10 (/ 1 alpha))))) beta)) (/ 1 alpha))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 10 binary64) alpha)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) beta) #s(literal 1/2 binary64) (.f64 (-.f64 (/.f64 #s(literal 16 binary64) alpha) #s(literal 6 binary64)) #s(literal -1/2 binary64))) (neg.f64 beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) alpha)))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 10 binary64) alpha)) beta) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha))) (pow.f64 beta #s(literal 3 binary64)))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 16 (/ 1 alpha)) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) alpha) #s(literal 6 binary64)) beta) #s(literal -1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 10 binary64) alpha)) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) alpha)))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (- 4 (* 8 (/ 1 alpha))) beta)) (* 16 (/ 1 alpha))) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) beta) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 16 binary64) alpha) #s(literal 6 binary64))) beta) #s(literal -1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 10 binary64) alpha)) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) alpha)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 alpha)) (* 16 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) alpha) beta) (/.f64 #s(literal 10 binary64) alpha)) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) alpha)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 alpha)) (+ (/ 8 (* alpha (pow beta 2))) (/ 16 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (*.f64 beta beta) alpha)) (/.f64 (/.f64 #s(literal 16 binary64) alpha) beta)) (/.f64 #s(literal 10 binary64) alpha)) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) alpha)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 10 (* 16 (/ 1 beta))) beta)) 2)))
(*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) beta) #s(literal 10 binary64)) (neg.f64 beta)) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 10 (+ (* 16 (/ 1 beta)) (/ 8 (pow beta 2)))) beta)) 2)))
(.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 beta beta)) (/.f64 #s(literal 16 binary64) beta)) #s(literal 10 binary64)) (neg.f64 beta)) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))

rewrite319.0ms (3.9%)

Memory

41.9MiB live, 312.3MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	473
0	91	473
1	402	405
2	3483	405
0	10565	404

Stop Event

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

Counts

42 → 716

Calls

Call 1

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

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

eval430.0ms (5.3%)

Memory: 10.4MiB live, 581.4MiB allocated; 72ms collecting garbage
Compiler: Compiled 76 438 to 8 842 computations (88.4% saved)

prune82.0ms (1%)

Memory

-27.5MiB live, 121.0MiB allocated; 16ms collecting garbage

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	1 438	9	1 447
Fresh	3	7	10
Picked	2	3	5
Done	1	5	6
Total	1 444	24	1 468

Accuracy

100.0%

Counts

1 468 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.6%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	45.8%	(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))
	3.8%	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	46.2%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	46.2%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))
	46.3%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (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))))
	43.8%	(/.f64 (-.f64 (/.f64 #s(approx (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (/.f64 (.f64 alpha alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.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)))
✓	70.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	41.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (+ 2 beta)) (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
✓	42.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (+ 2 beta)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
	28.7%	#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)))
✓	30.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	9.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
✓	30.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
✓	46.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	37.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
✓	48.4%	#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)))
	45.2%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64))))
	45.8%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64))))
	44.8%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
	24.3%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))))
	25.2%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))))
	24.0%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
	25.0%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))

Compiler

Compiled 2 128 to 727 computations (65.8% saved)

regimes68.0ms (0.8%)

Memory

0.5MiB live, 139.3MiB allocated; 17ms collecting garbage

Counts

44 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (+ 2 beta)) #s(literal 1/4 binary64)) #s(literal 1/2 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))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (+ 2 beta)) (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 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 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #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)))
#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 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) 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))
#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 (.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))
(/.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) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 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))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 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 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) beta)) (.f64 beta beta)))) alpha))
(/.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 (-.f64 (/.f64 #s(approx (* (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha)) (/.f64 (.f64 alpha alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.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 (-.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 (+.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 (-.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 (+.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)))
(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))
#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 (pow.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64))))) alpha))
(/.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)))
#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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64)) #s(literal 1 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 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (.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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (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))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (neg.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha)) #s(literal -1/2 binary64)))) alpha))) alpha))) alpha))
(/.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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))

Outputs

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

5 calls:

13.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
11.0ms	beta
11.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
11.0ms	alpha
9.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
94.6%	2	`alpha`
73.6%	1	`beta`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes17.0ms (0.2%)

Memory

3.7MiB live, 49.7MiB allocated; 2ms collecting garbage

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms

(/.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))

4.0ms

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

Results

Accuracy	Segments	Branch
99.5%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
99.5%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.5%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes15.0ms (0.2%)

Memory

-5.6MiB live, 40.5MiB allocated; 2ms collecting garbage

Counts

19 → 3

Calls

Call 1

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

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

Calls

3 calls:

6.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
99.1%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
99.1%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.1%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes12.0ms (0.1%)

Memory

39.5MiB live, 39.5MiB allocated; 0ms collecting garbage

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

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
98.6%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
98.6%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.6%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes12.0ms (0.2%)

Memory

-12.1MiB live, 34.5MiB allocated; 2ms collecting garbage

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms

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

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
97.6%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
97.6%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.6%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes78.0ms (1%)

Memory

-32.2MiB live, 26.5MiB allocated; 120ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

71.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
97.4%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
97.4%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.4%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes23.0ms (0.3%)

Memory

-12.3MiB live, 38.7MiB allocated; 9ms collecting garbage

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

12.0ms	alpha
3.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
3.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
67.7%	2	`alpha`
91.7%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
91.7%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.7%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes10.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
91.3%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
91.3%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.3%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes9.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
90.9%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
90.9%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
90.9%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes13.0ms (0.2%)

Memory

-28.1MiB live, 16.8MiB allocated; 7ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
69.6%	2	`beta`
69.5%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
69.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
69.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes6.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

4 calls:

2.0ms	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
69.4%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
69.4%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
69.4%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
69.4%	2	`beta`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes5.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
37.7%	1	`alpha`
37.7%	1	`beta`
37.7%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
37.7%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
37.7%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6653345369377348e-15	1.811023758180319e-7

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.570293128225462	0.9205106054157768
0.0ms	1.6653345369377348e-15	1.811023758180319e-7

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.570293128225462	0.9205106054157768
0.0ms	1.6653345369377348e-15	1.811023758180319e-7

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.570293128225462	0.9205106054157768
0.0ms	1.6653345369377348e-15	1.811023758180319e-7

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch3.0ms (0%)

Memory

-44.2MiB live, 1.9MiB allocated; 4ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.570293128225462	0.9205106054157768
0.0ms	0.0010621584214751678	0.49990315712751227

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.570293128225462	0.9205106054157768
0.0ms	0.0010621584214751678	0.49990315712751227

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.570293128225462	0.9205106054157768
0.0ms	0.0010621584214751678	0.49990315712751227

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.570293128225462	0.9205106054157768
0.0ms	0.0010621584214751678	0.49990315712751227

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.570293128225462	0.9205106054157768
0.0ms	0.0010621584214751678	0.49990315712751227

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch16.0ms (0.2%)

Memory

31.9MiB live, 32.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.46884698642921563	10.580294581819295

Samples

5.0ms	82×	0	valid
3.0ms	13×	2	valid
2.0ms	17×	1	valid

Compiler

Compiled 317 to 253 computations (20.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

adjust: 2.0ms (28.1% of total)

ival-div: 2.0ms (28.1% of total)

ival-add: 2.0ms (28.1% of total)

ival-sub: 1.0ms (14% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.570293128225462	0.9205106054157768

Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify80.0ms (1%)

Memory

-14.9MiB live, 78.8MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1006
1	152	1006
2	209	1006
3	293	1006
4	462	1006
5	685	1006
6	1255	1006
7	2256	1006
8	4141	1006
9	7367	1006

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2535301200456459/1267650600228229401496703205376 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 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 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)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 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 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 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) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ ( (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ ( (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ ( (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2535301200456459/1267650600228229401496703205376 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 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 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)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))))
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(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

derivations1.9s (23.7%)

Memory

-66.5MiB live, 979.1MiB allocated; 1.6s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
0	16	48
1	86	48
2	628	48
0	8529	47
0	1416	7490
1	5099	7399
0	8059	6989
0	37	300
0	62	300
1	300	296
2	2294	282
0	8742	282
0	1549	14602
1	5354	14461
0	8210	13574
0	433	2178
1	1507	2045
2	5976	1957
0	8067	1860

Stop Event

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

Compiler

Compiled 1 006 to 108 computations (89.3% saved)

preprocess97.0ms (1.2%)

Memory: -4.8MiB live, 187.0MiB allocated; 59ms collecting garbage
Compiler: Compiled 2 038 to 236 computations (88.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze2.0ms (0%)

sample1.9s (22.9%)

explain208.0ms (2.5%)

preprocess226.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series14.0ms (0.2%)

simplify162.0ms (2%)

rewrite220.0ms (2.7%)

eval86.0ms (1.1%)

prune28.0ms (0.3%)

simplify0.0ms (0%)

series109.0ms (1.3%)

simplify347.0ms (4.2%)

rewrite282.0ms (3.4%)

eval265.0ms (3.2%)

prune40.0ms (0.5%)

simplify0.0ms (0%)

series33.0ms (0.4%)

simplify290.0ms (3.6%)

rewrite256.0ms (3.1%)

eval115.0ms (1.4%)

prune29.0ms (0.4%)

simplify0.0ms (0%)

series45.0ms (0.6%)

simplify298.0ms (3.6%)

rewrite319.0ms (3.9%)

eval430.0ms (5.3%)

prune82.0ms (1%)

regimes68.0ms (0.8%)

regimes17.0ms (0.2%)

regimes15.0ms (0.2%)

regimes12.0ms (0.1%)

regimes12.0ms (0.2%)

regimes78.0ms (1%)

regimes23.0ms (0.3%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch16.0ms (0.2%)

bsearch0.0ms (0%)

simplify80.0ms (1%)

derivations1.9s (23.7%)

preprocess97.0ms (1.2%)

end0.0ms (0%)

Profiling