Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	56.2%	43.8%	0%	0%	0%	0
0%	0%	56.2%	43.8%	0%	0%	0%	1
50%	28.1%	28.1%	43.8%	0%	0%	0%	2
75%	42.1%	14%	43.8%	0%	0%	0%	3
87.5%	49.2%	7%	43.8%	0%	0%	0%	4
93.8%	52.7%	3.5%	43.8%	0%	0%	0%	5
96.9%	54.4%	1.8%	43.8%	0%	0%	0%	6
98.4%	55.3%	0.9%	43.8%	0%	0%	0%	7
99.2%	55.7%	0.4%	43.8%	0%	0%	0%	8
99.6%	56%	0.2%	43.8%	0%	0%	0%	9
99.8%	56.1%	0.1%	43.8%	0%	0%	0%	10
99.9%	56.1%	0.1%	43.8%	0%	0%	0%	11
100%	56.1%	0%	43.8%	0%	0%	0%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample1.3s (18%)

Memory

5.7MiB live, 1 743.3MiB allocated

Samples

509.0ms	6 085×	0	valid
264.0ms	1 413×	1	valid
180.0ms	758×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 688.0ms

ival-div: 235.0ms (34.1% of total)

ival-add: 223.0ms (32.4% of total)

ival-sub: 88.0ms (12.8% of total)

adjust: 76.0ms (11% of total)

ival->: 39.0ms (5.7% of total)

exact: 14.0ms (2% of total)

ival-and: 12.0ms (1.7% of total)

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

Bogosity

explain182.0ms (2.6%)

Memory

13.4MiB live, 243.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
72	-	-	`(+.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	72	1

Confusion

	Predicted +	Predicted -
+	72	0
-	0	184

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	0
-	0	1	183

Precision?

0.9863013698630136

Recall?

1.0

Freqs

test

number	freq
0	184
1	72

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms	376×	0	valid
17.0ms	90×	1	valid
10.0ms	46×	2	valid

Compiler

Compiled 161 to 44 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-add: 41.0ms (69.5% of total)

ival-div: 9.0ms (15.3% of total)

adjust: 4.0ms (6.8% of total)

ival-sub: 4.0ms (6.8% of total)

exact: 1.0ms (1.7% of total)

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

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

preprocess266.0ms (3.7%)

Memory

-15.2MiB live, 192.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	71
1	82	67
2	234	67
3	690	65
4	2203	65
5	5647	65
0	10	13
0	16	13
1	33	13
2	58	13
3	108	13
4	246	13
5	650	13
6	1807	13
7	4001	13
8	5504	13
9	5814	13
10	6380	13
0	8047	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))

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.4%	(/.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: 0.0MiB live, 0.0MiB allocated

localize58.0ms (0.8%)

Memory

21.2MiB live, 56.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0.0	(+.f64 alpha beta)
accuracy	0.015625	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	16.35680417189104	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

32.0ms	23×	2	valid
12.0ms	188×	0	valid
6.0ms	45×	1	valid

Compiler

Compiled 98 to 22 computations (77.6% saved)

Precisions

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

ival-add: 31.0ms (76.5% of total)

ival-div: 4.0ms (9.9% of total)

adjust: 2.0ms (4.9% of total)

ival-sub: 2.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

-14.5MiB live, 22.1MiB allocated

Counts

4 → 58

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	alpha	@	inf	((+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ alpha beta) (+ (+ alpha beta) 2))
2.0ms	beta	@	inf	((+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ alpha beta) (+ (+ alpha beta) 2))
1.0ms	beta	@	0	((+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ alpha beta) (+ (+ alpha beta) 2))
1.0ms	alpha	@	-inf	((+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ alpha beta) (+ (+ alpha beta) 2))
1.0ms	alpha	@	0	((+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ alpha beta) (+ (+ alpha beta) 2))

simplify176.0ms (2.5%)

Memory

-6.2MiB live, 186.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	1376
1	1058	1288
2	4132	1190
0	8402	1107

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 56

Calls

Call 1

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

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

rewrite192.0ms (2.7%)

Memory

10.7MiB live, 327.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	14	28
1	82	28
2	735	28
0	8451	28

Stop Event

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

Counts

4 → 351

Calls

Call 1

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

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

eval127.0ms (1.8%)

Memory: -35.1MiB live, 172.7MiB allocated
Compiler: Compiled 13 307 to 1 936 computations (85.5% saved)

prune33.0ms (0.5%)

Memory

-10.4MiB live, 35.3MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	388	14	402
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	388	15	403

Accuracy

100.0%

Counts

403 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.8%	(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	46.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
✓	74.4%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	46.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	74.4%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	72.1%	(/.f64 (+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	49.0%	(/.f64 (+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	3.7%	(/.f64 (+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	28.6%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)) #s(literal 2 binary64))
	29.5%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) #s(literal 2 binary64))
	25.7%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 beta) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha)) alpha) (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (neg.f64 alpha))) #s(literal 2 binary64))
	25.5%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) beta (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) alpha))) alpha)) #s(literal 2 binary64))
	28.5%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (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) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)) #s(literal 2 binary64))
	30.7%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))) #s(literal 2 binary64))
▶	37.9%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) #s(literal 2 binary64)) #s(literal 2 binary64))

Compiler

Compiled 807 to 504 computations (37.5% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize182.0ms (2.5%)

Memory

-0.1MiB live, 194.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.033535009768442016	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
accuracy	0.0390625	(pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
accuracy	16.922251734848494	(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
accuracy	33.25360070349741	(-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy	0.0	(+.f64 #s(literal 2 binary64) alpha)
accuracy	0.015625	(/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) alpha)))
accuracy	16.35680417189104	(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1 binary64))
accuracy	18.285107279633195	#s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) alpha))
accuracy	0.0	(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
accuracy	0.0	(-.f64 #s(literal -2 binary64) alpha)
accuracy	16.35680417189104	(+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1 binary64))
accuracy	30.838942894302683	#s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
accuracy	0.0	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy	39.75063350836994	#s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) #s(literal 2 binary64))
accuracy	0.0	(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
accuracy	0.03515625	(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha))
accuracy	0.09765625	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)))
accuracy	16.35680417189104	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha))) #s(literal 1 binary64))

Samples

64.0ms	95×	1	valid
34.0ms	44×	2	valid
22.0ms	117×	0	valid

Compiler

Compiled 654 to 68 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-div: 45.0ms (50.5% of total)

ival-sub: 17.0ms (19.1% of total)

adjust: 11.0ms (12.3% of total)

ival-add: 11.0ms (12.3% of total)

ival-pow2: 5.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

series60.0ms (0.8%)

Memory

22.3MiB live, 60.3MiB allocated

Counts

18 → 198

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
21.0ms	beta	@	inf	((+ (/ 1 (/ (+ 2 (+ alpha beta)) (- beta alpha))) 1) (/ 1 (/ (+ 2 (+ alpha beta)) (- beta alpha))) (/ (+ 2 (+ alpha beta)) (- beta alpha)) (+ 2 (+ alpha beta)) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (- -2 alpha) (/ alpha (- -2 alpha)) (+ (+ alpha beta) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ 2 alpha) (- (pow (/ (- beta alpha) (- -2 (+ alpha beta))) 2) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (pow (/ (- beta alpha) (- -2 (+ alpha beta))) 2) (/ (- (pow (/ (- beta alpha) (- -2 (+ alpha beta))) 2) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)))
9.0ms	beta	@	-inf	((+ (/ 1 (/ (+ 2 (+ alpha beta)) (- beta alpha))) 1) (/ 1 (/ (+ 2 (+ alpha beta)) (- beta alpha))) (/ (+ 2 (+ alpha beta)) (- beta alpha)) (+ 2 (+ alpha beta)) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (- -2 alpha) (/ alpha (- -2 alpha)) (+ (+ alpha beta) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ 2 alpha) (- (pow (/ (- beta alpha) (- -2 (+ alpha beta))) 2) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (pow (/ (- beta alpha) (- -2 (+ alpha beta))) 2) (/ (- (pow (/ (- beta alpha) (- -2 (+ alpha beta))) 2) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)))
7.0ms	alpha	@	inf	((+ (/ 1 (/ (+ 2 (+ alpha beta)) (- beta alpha))) 1) (/ 1 (/ (+ 2 (+ alpha beta)) (- beta alpha))) (/ (+ 2 (+ alpha beta)) (- beta alpha)) (+ 2 (+ alpha beta)) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (- -2 alpha) (/ alpha (- -2 alpha)) (+ (+ alpha beta) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ 2 alpha) (- (pow (/ (- beta alpha) (- -2 (+ alpha beta))) 2) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (pow (/ (- beta alpha) (- -2 (+ alpha beta))) 2) (/ (- (pow (/ (- beta alpha) (- -2 (+ alpha beta))) 2) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)))
6.0ms	alpha	@	0	((+ (/ 1 (/ (+ 2 (+ alpha beta)) (- beta alpha))) 1) (/ 1 (/ (+ 2 (+ alpha beta)) (- beta alpha))) (/ (+ 2 (+ alpha beta)) (- beta alpha)) (+ 2 (+ alpha beta)) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (- -2 alpha) (/ alpha (- -2 alpha)) (+ (+ alpha beta) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ 2 alpha) (- (pow (/ (- beta alpha) (- -2 (+ alpha beta))) 2) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (pow (/ (- beta alpha) (- -2 (+ alpha beta))) 2) (/ (- (pow (/ (- beta alpha) (- -2 (+ alpha beta))) 2) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)))
5.0ms	beta	@	0	((+ (/ 1 (/ (+ 2 (+ alpha beta)) (- beta alpha))) 1) (/ 1 (/ (+ 2 (+ alpha beta)) (- beta alpha))) (/ (+ 2 (+ alpha beta)) (- beta alpha)) (+ 2 (+ alpha beta)) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (- -2 alpha) (/ alpha (- -2 alpha)) (+ (+ alpha beta) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ 2 alpha) (- (pow (/ (- beta alpha) (- -2 (+ alpha beta))) 2) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (pow (/ (- beta alpha) (- -2 (+ alpha beta))) 2) (/ (- (pow (/ (- beta alpha) (- -2 (+ alpha beta))) 2) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)))

simplify286.0ms (4%)

Memory

-23.6MiB live, 289.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1261	12715
1	4519	12364
0	8255	11632

Stop Event

1×	iter limit
1×	node limit

Counts

198 → 196

Calls

Call 1

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

rewrite371.0ms (5.2%)

Memory

43.5MiB live, 396.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	206
0	53	188
1	295	188
2	2457	188
0	9161	188

Stop Event

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

Counts

18 → 1 397

Calls

Call 1

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

Outputs
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(+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1 binary64))
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eval392.0ms (5.5%)

Memory: -36.6MiB live, 324.0MiB allocated
Compiler: Compiled 59 182 to 7 007 computations (88.2% saved)

prune98.0ms (1.4%)

Memory

6.8MiB live, 83.2MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1 497	8	1 505
Fresh	3	6	9
Picked	4	1	5
Done	0	1	1
Total	1 504	16	1 520

Accuracy

100.0%

Counts

1 520 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.8%	(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	45.3%	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
✓	74.4%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	46.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	72.1%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 2 (+ alpha beta)) (- beta alpha)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	46.2%	(/.f64 (+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	3.7%	(/.f64 (+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	28.6%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)) #s(literal 2 binary64))
	25.7%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 beta) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha)) alpha) (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (neg.f64 alpha))) #s(literal 2 binary64))
	25.5%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) beta (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) alpha))) alpha)) #s(literal 2 binary64))
	28.5%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (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) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)) #s(literal 2 binary64))
▶	37.9%	(*.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) #s(literal 2 binary64)) #s(literal 1/2 binary64))
▶	30.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
	29.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)))
	49.0%	#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)))
▶	72.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))

Compiler

Compiled 888 to 567 computations (36.1% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize217.0ms (3%)

Memory

-0.0MiB live, 118.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.033535009768442016	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
accuracy	16.922251734848494	(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
accuracy	17.949422327776276	(/.f64 (.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
accuracy	33.25360070349741	(-.f64 (/.f64 (.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))
accuracy	0.0	(/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)
accuracy	0.00390625	(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy	44.33611308789525	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
accuracy	0.0078125	(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
accuracy	17.840639580762808	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))
accuracy	0.0	(*.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) #s(literal 2 binary64)) #s(literal 1/2 binary64))
accuracy	39.75063350836994	#s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) #s(literal 2 binary64))
accuracy	0.015625	(/.f64 (+.f64 #s(literal 2 binary64) beta) beta)
accuracy	0.09765625	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ 2 (+ alpha beta)) (- beta alpha)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta)))
accuracy	16.35680417189104	(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 2 (+ alpha beta)) (- beta alpha)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) #s(literal 1 binary64))
accuracy	31.894497601600595	#s(approx (/ (+ 2 (+ alpha beta)) (- beta alpha)) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))

Samples

66.0ms	117×	0	valid
66.0ms	95×	1	valid
37.0ms	44×	2	valid

Compiler

Compiled 754 to 93 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-mult: 49.0ms (35.7% of total)

adjust: 29.0ms (21.1% of total)

ival-div: 28.0ms (20.4% of total)

ival-add: 19.0ms (13.8% of total)

ival-sub: 9.0ms (6.6% of total)

ival-neg: 2.0ms (1.5% of total)

exact: 1.0ms (0.7% of total)

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

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

series41.0ms (0.6%)

Memory

35.0MiB live, 35.0MiB allocated

Counts

18 → 217

Calls

Call 1

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

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

Calls

6 calls:

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

simplify236.0ms (3.3%)

Memory

1.3MiB live, 153.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1309	13445
1	4848	12929
0	8018	12248

Stop Event

1×	iter limit
1×	node limit

Counts

217 → 217

Calls

Call 1

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

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

rewrite344.0ms (4.8%)

Memory

-37.3MiB live, 252.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	257
0	74	257
1	385	216
2	3494	216
0	9615	212

Stop Event

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

Counts

18 → 665

Calls

Call 1

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

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

eval222.0ms (3.1%)

Memory: 17.5MiB live, 245.6MiB allocated
Compiler: Compiled 41 239 to 4 373 computations (89.4% saved)

prune34.0ms (0.5%)

Memory

9.0MiB live, 92.3MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	871	9	880
Fresh	0	9	9
Picked	4	1	5
Done	0	2	2
Total	875	21	896

Accuracy

100.0%

Counts

896 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.8%	(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	45.3%	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
▶	44.2%	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (-.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 2 binary64))
✓	74.4%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	46.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	46.2%	(/.f64 (+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	3.7%	(/.f64 (+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	28.6%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)) #s(literal 2 binary64))
	25.7%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 beta) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha)) alpha) (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (neg.f64 alpha))) #s(literal 2 binary64))
	25.5%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) beta (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) alpha))) alpha)) #s(literal 2 binary64))
	28.5%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (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) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)) #s(literal 2 binary64))
✓	37.9%	(*.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) #s(literal 2 binary64)) #s(literal 1/2 binary64))
▶	33.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* 2 alpha) 2) (*.f64 alpha #s(literal 2 binary64))) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
▶	72.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	29.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)))
	49.0%	#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)))
	60.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 beta (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (-.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64))))
	31.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
	42.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
	44.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
▶	47.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) #s(literal 1/2 binary64)))

Compiler

Compiled 1 221 to 794 computations (35% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize245.0ms (3.4%)

Memory

3.3MiB live, 363.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.033535009768442016	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (-.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
accuracy	17.949422327776276	(/.f64 (.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
accuracy	18.286330049560934	#s(approx (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (-.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
accuracy	33.25360070349741	(-.f64 (/.f64 (.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 alpha #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 (/.f64 #s(approx (+ (* 2 alpha) 2) (*.f64 alpha #s(literal 2 binary64))) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy	42.196200229719935	#s(approx (+ (* 2 alpha) 2) (*.f64 alpha #s(literal 2 binary64)))
accuracy	44.33611308789525	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* 2 alpha) 2) (*.f64 alpha #s(literal 2 binary64))) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.0	(/.f64 (+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy	16.35680417189104	(+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	45.01736979910301	#s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64))
accuracy	17.840639580762808	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) #s(literal 1/2 binary64)))
accuracy	19.10485935793086	#s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) #s(literal 1/2 binary64))
accuracy	0.0	(+.f64 beta #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.01171875	(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
accuracy	17.840639580762808	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Samples

82.0ms	117×	0	valid
58.0ms	95×	1	valid
50.0ms	44×	2	valid

Compiler

Compiled 724 to 103 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-mult: 62.0ms (39.4% of total)

ival-add: 30.0ms (19.1% of total)

ival-div: 27.0ms (17.2% of total)

adjust: 21.0ms (13.4% of total)

ival-sub: 14.0ms (8.9% of total)

ival-neg: 2.0ms (1.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series20.0ms (0.3%)

Memory

9.8MiB live, 48.4MiB allocated

Counts

17 → 187

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	-inf	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ beta (+ beta 2)) (+ (* (/ beta (+ beta 2)) 1/2) 1/2) (+ beta 2) (* 1/2 (+ (/ beta (+ 2 beta)) 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* 2 alpha) 2) (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (* alpha 2) (- (/ (* (- beta alpha) (neg (- beta alpha))) (* (- (- -2 alpha) beta) (+ (+ beta alpha) 2))) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (/ (* (- beta alpha) (neg (- beta alpha))) (* (- (- -2 alpha) beta) (+ (+ beta alpha) 2))) (/ (- (/ (* (- beta alpha) (neg (- beta alpha))) (* (- (- -2 alpha) beta) (+ (+ beta alpha) 2))) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)))
2.0ms	alpha	@	inf	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ beta (+ beta 2)) (+ (* (/ beta (+ beta 2)) 1/2) 1/2) (+ beta 2) (* 1/2 (+ (/ beta (+ 2 beta)) 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* 2 alpha) 2) (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (* alpha 2) (- (/ (* (- beta alpha) (neg (- beta alpha))) (* (- (- -2 alpha) beta) (+ (+ beta alpha) 2))) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (/ (* (- beta alpha) (neg (- beta alpha))) (* (- (- -2 alpha) beta) (+ (+ beta alpha) 2))) (/ (- (/ (* (- beta alpha) (neg (- beta alpha))) (* (- (- -2 alpha) beta) (+ (+ beta alpha) 2))) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)))
2.0ms	beta	@	inf	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ beta (+ beta 2)) (+ (* (/ beta (+ beta 2)) 1/2) 1/2) (+ beta 2) (* 1/2 (+ (/ beta (+ 2 beta)) 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* 2 alpha) 2) (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (* alpha 2) (- (/ (* (- beta alpha) (neg (- beta alpha))) (* (- (- -2 alpha) beta) (+ (+ beta alpha) 2))) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (/ (* (- beta alpha) (neg (- beta alpha))) (* (- (- -2 alpha) beta) (+ (+ beta alpha) 2))) (/ (- (/ (* (- beta alpha) (neg (- beta alpha))) (* (- (- -2 alpha) beta) (+ (+ beta alpha) 2))) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)))
2.0ms	alpha	@	0	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ beta (+ beta 2)) (+ (* (/ beta (+ beta 2)) 1/2) 1/2) (+ beta 2) (* 1/2 (+ (/ beta (+ 2 beta)) 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* 2 alpha) 2) (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (* alpha 2) (- (/ (* (- beta alpha) (neg (- beta alpha))) (* (- (- -2 alpha) beta) (+ (+ beta alpha) 2))) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (/ (* (- beta alpha) (neg (- beta alpha))) (* (- (- -2 alpha) beta) (+ (+ beta alpha) 2))) (/ (- (/ (* (- beta alpha) (neg (- beta alpha))) (* (- (- -2 alpha) beta) (+ (+ beta alpha) 2))) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)))
2.0ms	beta	@	0	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ beta (+ beta 2)) (+ (* (/ beta (+ beta 2)) 1/2) 1/2) (+ beta 2) (* 1/2 (+ (/ beta (+ 2 beta)) 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (- beta alpha) (+ (+ alpha beta) 2)) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* 2 alpha) 2) (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (* alpha 2) (- (/ (* (- beta alpha) (neg (- beta alpha))) (* (- (- -2 alpha) beta) (+ (+ beta alpha) 2))) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (/ (* (- beta alpha) (neg (- beta alpha))) (* (- (- -2 alpha) beta) (+ (+ beta alpha) 2))) (/ (- (/ (* (- beta alpha) (neg (- beta alpha))) (* (- (- -2 alpha) beta) (+ (+ beta alpha) 2))) 1) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)))

simplify193.0ms (2.7%)

Memory

-5.6MiB live, 306.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1177	12818
1	4367	12120
0	8258	11222

Stop Event

1×	iter limit
1×	node limit

Counts

187 → 186

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

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

rewrite202.0ms (2.8%)

Memory

-2.3MiB live, 244.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	270
0	77	268
1	435	241
2	3798	241
0	8147	234

Stop Event

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

Counts

17 → 394

Calls

Call 1

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

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

eval145.0ms (2%)

Memory: 18.7MiB live, 211.9MiB allocated
Compiler: Compiled 32 609 to 2 946 computations (91% saved)

prune33.0ms (0.5%)

Memory

-33.1MiB live, 88.4MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	571	7	578
Fresh	3	10	13
Picked	3	2	5
Done	0	3	3
Total	577	22	599

Accuracy

100.0%

Counts

599 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.7%	(fma.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	58.8%	(/.f64 (fma.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	48.0%	(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) #s(literal -1 binary64)) #s(approx (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (-.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 2 binary64))
	45.3%	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
✓	44.2%	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (-.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 2 binary64))
✓	74.4%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	46.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	46.2%	(/.f64 (+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	28.6%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)) #s(literal 2 binary64))
	25.7%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 beta) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha)) alpha) (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (neg.f64 alpha))) #s(literal 2 binary64))
	25.5%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) beta (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) alpha))) alpha)) #s(literal 2 binary64))
	28.5%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (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) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)) #s(literal 2 binary64))
✓	37.9%	(*.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) #s(literal 2 binary64)) #s(literal 1/2 binary64))
	60.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64))) (-.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	33.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* 2 alpha) 2) (+.f64 alpha alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
	72.1%	#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)))
	29.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)))
	49.0%	#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)))
	31.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
	42.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ beta 2)) 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))))
	44.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ beta 2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
✓	47.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) #s(literal 1/2 binary64)))

Compiler

Compiled 1 740 to 683 computations (60.7% saved)

regimes78.0ms (1.1%)

Memory

11.7MiB live, 89.2MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

40.0ms	alpha
10.0ms	beta
9.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
9.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
8.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
95.9%	2	`alpha`
74.4%	1	`beta`
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes33.0ms (0.5%)

Memory

-0.8MiB live, 38.3MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

18.0ms

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

7.0ms

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

6.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes26.0ms (0.4%)

Memory

-7.2MiB live, 41.3MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

13.0ms

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

6.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
98.0%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.0%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.0%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes24.0ms (0.3%)

Memory

5.6MiB live, 44.3MiB allocated

Counts

16 → 2

Calls

Call 1

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

5 calls:

6.0ms	alpha
5.0ms	beta
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
73.8%	2	`beta`
72.1%	1	`alpha`
72.1%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
72.1%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
72.1%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes20.0ms (0.3%)

Memory

2.1MiB live, 38.8MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs
#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

4 calls:

7.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
4.0ms	beta
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))

Results

Accuracy	Segments	Branch
72.1%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
72.1%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
72.1%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
72.1%	1	`beta`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes18.0ms (0.3%)

Memory

3.9MiB live, 42.7MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

5.0ms	alpha
4.0ms	beta
3.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
3.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
71.2%	2	`beta`
51.5%	2	`alpha`
71.1%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
71.1%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
71.1%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes13.0ms (0.2%)

Memory

-20.3MiB live, 25.7MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 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	beta
3.0ms	(/.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))

Results

Accuracy	Segments	Branch
70.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
70.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
70.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
71.0%	2	`beta`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

beta

Results

Accuracy	Segments	Branch
71.0%	2	`beta`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
70.7%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
70.7%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
70.7%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
70.7%	2	`beta`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes7.0ms (0.1%)

Memory

-22.4MiB live, 16.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
47.9%	1	`alpha`
47.9%	1	`beta`
47.9%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
47.9%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
47.9%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999934123723	-0.9999879439910535

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999701771	-0.9999999934123723

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9844715553687144	-1.3524146857456112e-8

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch13.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.7587133129204261e-74	7.376869603460062e-74

Samples

3.0ms	64×	0	valid
3.0ms	23×	1	valid
2.0ms	9×	2	valid

Compiler

Compiled 286 to 231 computations (19.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (37.7% of total)

ival-add: 2.0ms (37.7% of total)

adjust: 1.0ms (18.9% of total)

ival-sub: 1.0ms (18.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch25.0ms (0.4%)

Memory

-18.9MiB live, 58.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	7.736054904785697e-11	6.135355417802855

Samples

6.0ms	110×	0	valid
6.0ms	30×	1	valid
4.0ms	20×	2	valid

Compiler

Compiled 636 to 465 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 5.0ms (45.4% of total)

ival-add: 3.0ms (27.2% of total)

adjust: 2.0ms (18.2% of total)

ival-sub: 1.0ms (9.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.736054904785697e-11	6.135355417802855

Compiler

Compiled 476 to 385 computations (19.1% saved)

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.736054904785697e-11	6.135355417802855

Compiler

Compiled 446 to 365 computations (18.2% saved)

bsearch6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.3408110356038038	0.7541594807740867

Samples

3.0ms

80×

valid

Compiler

Compiled 216 to 181 computations (16.2% saved)

Precisions

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify51.0ms (0.7%)

Memory

-28.0MiB live, 93.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	469
1	99	469
2	118	469
3	142	469
4	201	469
5	319	469
6	382	469
7	461	469
8	514	469
9	587	469
10	655	469
11	695	469
12	714	469
13	716	469

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) (/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -2251799802426249/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #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 beta #s(literal 2291665473376297/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 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 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) (*.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) #s(literal 1/2 binary64))) (*.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) #s(literal 1/2 binary64)))

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) (/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007109182748445/9007199254740992 binary64)) (/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -2251799802426249/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -2251799802426249/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #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 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))) #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 beta #s(literal 2291665473376297/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 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 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* 2 alpha) 2) beta) -1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) (*.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) #s(literal 1/2 binary64))) (*.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) #s(literal 1/2 binary64))) (*.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* 1/2 (+ (/ beta (+ 2 beta)) 1)) #s(literal 1/2 binary64)))

soundness1.0s (14.3%)

Memory

11.0MiB live, 842.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1309	13445
1	4848	12929
0	8018	12248
0	33	206
0	53	188
1	295	188
2	2457	188
0	9161	188
0	305	1376
1	1058	1288
2	4132	1190
0	8402	1107
0	52	270
0	77	268
1	435	241
2	3798	241
0	8147	234
0	45	257
0	74	257
1	385	216
2	3494	216
0	9615	212
0	1261	12715
1	4519	12364
0	8255	11632

Stop Event

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

Compiler

Compiled 875 to 425 computations (51.4% saved)

preprocess125.0ms (1.8%)

Memory: 5.7MiB live, 80.6MiB allocated
Compiler: Compiled 964 to 192 computations (80.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	80	469
1	99	469
2	118	469
3	142	469
4	201	469
5	319	469
6	382	469
7	461	469
8	514	469
9	587	469
10	655	469
11	695	469
12	714	469
13	716	469

Iter	Nodes	Cost
0	80	469
1	99	469
2	118	469
3	142	469
4	201	469
5	319	469
6	382	469
7	461	469
8	514	469
9	587	469
10	655	469
11	695	469
12	714	469
13	716	469

start0.0ms (0%)

analyze2.0ms (0%)

sample1.3s (18%)

explain182.0ms (2.6%)

preprocess266.0ms (3.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize58.0ms (0.8%)

series13.0ms (0.2%)

simplify176.0ms (2.5%)

rewrite192.0ms (2.7%)

eval127.0ms (1.8%)

prune33.0ms (0.5%)

simplify0.0ms (0%)

localize182.0ms (2.5%)

series60.0ms (0.8%)

simplify286.0ms (4%)

rewrite371.0ms (5.2%)

eval392.0ms (5.5%)

prune98.0ms (1.4%)

simplify0.0ms (0%)

localize217.0ms (3%)

series41.0ms (0.6%)

simplify236.0ms (3.3%)

rewrite344.0ms (4.8%)

eval222.0ms (3.1%)

prune34.0ms (0.5%)

simplify0.0ms (0%)

localize245.0ms (3.4%)

series20.0ms (0.3%)

simplify193.0ms (2.7%)

rewrite202.0ms (2.8%)

eval145.0ms (2%)

prune33.0ms (0.5%)

regimes78.0ms (1.1%)

regimes33.0ms (0.5%)

regimes26.0ms (0.4%)

regimes24.0ms (0.3%)

regimes20.0ms (0.3%)

regimes18.0ms (0.3%)

regimes13.0ms (0.2%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.2%)

bsearch25.0ms (0.4%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch6.0ms (0.1%)

simplify51.0ms (0.7%)

soundness1.0s (14.3%)

preprocess125.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	80	469
1	99	469
2	118	469
3	142	469
4	201	469
5	319	469
6	382	469
7	461	469
8	514	469
9	587	469
10	655	469
11	695	469
12	714	469
13	716	469