Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample1.2s (15.6%)

Memory

47.8MiB live, 1 765.4MiB allocated

Samples

533.0ms	6 049×	0	valid
228.0ms	1 509×	1	valid
158.0ms	698×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 687.0ms

ival-add: 214.0ms (31.1% of total)

ival-div: 175.0ms (25.5% of total)

ival-sub: 92.0ms (13.4% of total)

adjust: 90.0ms (13.1% of total)

ival->: 90.0ms (13.1% of total)

exact: 14.0ms (2% of total)

ival-and: 11.0ms (1.6% of total)

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

Bogosity

explain125.0ms (1.6%)

Memory

6.0MiB live, 245.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
56	-	-	`(+.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	56	0

Confusion

	Predicted +	Predicted -
+	56	0
-	0	200

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	56	0	0
-	0	0	200

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	200
1	56

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms	402×	0	valid
14.0ms	80×	1	valid
8.0ms	30×	2	valid

Compiler

Compiled 113 to 34 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sub: 12.0ms (34.6% of total)

ival-add: 9.0ms (26% of total)

ival-div: 8.0ms (23.1% of total)

adjust: 5.0ms (14.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess322.0ms (4%)

Memory

1.0MiB live, 108.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	71
1	73	67
2	167	67
3	440	65
4	1163	65
5	2800	65
6	5550	65
7	6406	65
8	6673	65
9	6796	65
10	6822	65
11	6822	65
12	6870	65
13	6969	65
14	6969	65
15	6969	65
16	7073	65
0	10	13
0	16	13
1	28	13
2	45	13
3	73	13
4	133	13
5	292	13
6	575	13
7	978	13
8	1693	13
9	2955	13
10	3280	13
11	3378	13
12	3432	13
13	3434	13
14	3434	13
15	3434	13
0	3434	12

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.8%	(/.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)

simplify129.0ms (1.6%)

Memory

20.4MiB live, 98.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
0	16	48
1	28	48
2	45	48
3	73	48
4	133	48
5	292	48
6	575	48
7	978	48
8	1693	48
9	2955	48
10	3280	48
11	3378	48
12	3432	48
13	3434	48
14	3434	48
15	3434	48
0	3434	47

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize73.0ms (0.9%)

Memory

-41.7MiB live, 100.1MiB 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	12.948680655221283	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

15.0ms	201×	0	valid
6.0ms	40×	1	valid
5.0ms	15×	2	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-div: 6.0ms (40.6% of total)

ival-add: 4.0ms (27% of total)

adjust: 2.0ms (13.5% of total)

ival-sub: 2.0ms (13.5% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

6 → 87

Calls

Call 1

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

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

Calls

6 calls:

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

simplify185.0ms (2.3%)

Memory

15.2MiB live, 204.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2206
1	1394	2067
2	4609	1878
0	8705	1750

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 85

Calls

Call 1

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

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

rewrite229.0ms (2.9%)

Memory

11.2MiB live, 288.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	16	44
1	91	44
2	748	44
0	8667	43

Stop Event

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

Counts

6 → 463

Calls

Call 1

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

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

eval130.0ms (1.6%)

Memory: -43.6MiB live, 200.1MiB allocated
Compiler: Compiled 16 463 to 2 397 computations (85.4% saved)

prune85.0ms (1.1%)

Memory

-4.6MiB live, 32.1MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	534	8	542
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	535	8	543

Accuracy

99.9%

Counts

543 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.8%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	46.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
▶	35.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶	77.2%	#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)))
	22.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
	24.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	50.0%	#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)))
▶	43.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 342 to 242 computations (29.2% saved)

simplify141.0ms (1.8%)

Memory

-8.4MiB live, 110.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	236
0	52	236
1	107	236
2	174	236
3	326	234
4	702	232
5	1685	229
6	4909	229
7	7191	229
0	8036	229

Stop Event

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

Calls

Call 1

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

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

localize184.0ms (2.3%)

Memory

16.2MiB live, 215.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
accuracy	0.178066259768442	(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64))
accuracy	20.374922906725594	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))
accuracy	33.30042892182792	(-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
accuracy	0.01953125	(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
accuracy	41.14721301840141	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.0	(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
accuracy	0.0	(-.f64 beta #s(literal -2 binary64))
accuracy	14.5782203849079	#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)))
accuracy	36.35773149122759	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0.0	(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
accuracy	0.0	(+.f64 alpha beta)
accuracy	0.015625	(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
accuracy	12.947366648948877	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

82.0ms	53×	2	valid
53.0ms	88×	1	valid
27.0ms	115×	0	valid

Compiler

Compiled 225 to 34 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 54.0ms (39.7% of total)

ival-add: 24.0ms (17.7% of total)

ival-div: 19.0ms (14% of total)

adjust: 17.0ms (12.5% of total)

ival-sub: 10.0ms (7.4% of total)

ival-pow: 10.0ms (7.4% of total)

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

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

exact: 0.0ms (0% of total)

series75.0ms (0.9%)

Memory

-7.3MiB live, 69.8MiB allocated

Counts

19 → 232

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	alpha	@	0	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (/ (- -2 (+ alpha beta)) (- alpha beta)) (+ alpha beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))
15.0ms	beta	@	0	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (/ (- -2 (+ alpha beta)) (- alpha beta)) (+ alpha beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))
8.0ms	alpha	@	-inf	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (/ (- -2 (+ alpha beta)) (- alpha beta)) (+ alpha beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))
7.0ms	beta	@	inf	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (/ (- -2 (+ alpha beta)) (- alpha beta)) (+ alpha beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))
6.0ms	alpha	@	inf	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (- (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (/ (- -2 (+ alpha beta)) (- alpha beta)) (+ alpha beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))

simplify256.0ms (3.2%)

Memory

23.7MiB live, 287.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1392	13306
1	4478	12727
0	8219	11878

Stop Event

1×	iter limit
1×	node limit

Counts

232 → 230

Calls

Call 1

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

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

rewrite178.0ms (2.2%)

Memory

-12.6MiB live, 350.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	198
0	52	198
1	289	198
2	2441	198
0	8547	198

Stop Event

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

Counts

19 → 490

Calls

Call 1

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

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

eval217.0ms (2.7%)

Memory: -1.9MiB live, 346.8MiB allocated
Compiler: Compiled 42 570 to 4 153 computations (90.2% saved)

prune27.0ms (0.3%)

Memory

25.0MiB live, 102.3MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	966	13	979
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	969	18	987

Accuracy

99.9%

Counts

987 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.8%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	3.5%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	46.1%	(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
	46.1%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -6 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64))))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
▶	47.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))))
	46.1%	(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
	46.1%	(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
	46.1%	(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
▶	39.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	77.2%	#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)))
	22.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
	24.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	44.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
▶	43.4%	#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))))
	44.7%	#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))))
▶	49.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	43.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
▶	50.0%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

Compiler

Compiled 1 193 to 631 computations (47.1% saved)

simplify203.0ms (2.5%)

Memory

-10.0MiB live, 228.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	371
0	79	371
1	161	371
2	280	371
3	603	371
4	1478	371
5	4536	371
0	8088	362

Stop Event

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

Calls

Call 1

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

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

localize342.0ms (4.3%)

Memory

-10.0MiB live, 285.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.178066259768442	(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64))
accuracy	0.21750518791572604	(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64))
accuracy	20.53544078389398	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64))
accuracy	33.30628096459623	(-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 #s(literal -2 binary64) alpha)
accuracy	0.01953125	(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
accuracy	41.14721301840141	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	43.56669301915185	#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
accuracy	0.0	(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
accuracy	0.0	(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))
accuracy	14.5782203849079	#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))))
accuracy	23.63904605530769	#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)))
accuracy	14.5782203849079	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
accuracy	20.026482101731652	#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))
accuracy	0.0	(+.f64 #s(literal 2 binary64) alpha)
accuracy	0.015625	(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
accuracy	17.51246075888753	(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	20.863193687550552	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

Samples

136.0ms	86×	1	valid
100.0ms	57×	2	valid
67.0ms	113×	0	valid

Compiler

Compiled 305 to 53 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-div: 71.0ms (37% of total)

ival-sub: 31.0ms (16.2% of total)

ival-add: 31.0ms (16.2% of total)

adjust: 25.0ms (13% of total)

ival-mult: 20.0ms (10.4% of total)

ival-pow: 13.0ms (6.8% of total)

exact: 1.0ms (0.5% of total)

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

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

series116.0ms (1.5%)

Memory

0.7MiB live, 110.9MiB allocated

Counts

21 → 229

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	beta	@	0	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (- (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) 1) (* (+ (* (- alpha beta) (/ 2 (- -2 (+ beta alpha)))) -2) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1))) (- (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) 1) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (/ (- -2 (+ beta alpha)) (- alpha beta)) (* -2 alpha) (+ (* (- alpha beta) (/ 2 (- -2 (+ beta alpha)))) -2) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2))
15.0ms	beta	@	inf	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (- (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) 1) (* (+ (* (- alpha beta) (/ 2 (- -2 (+ beta alpha)))) -2) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1))) (- (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) 1) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (/ (- -2 (+ beta alpha)) (- alpha beta)) (* -2 alpha) (+ (* (- alpha beta) (/ 2 (- -2 (+ beta alpha)))) -2) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2))
12.0ms	alpha	@	-inf	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (- (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) 1) (* (+ (* (- alpha beta) (/ 2 (- -2 (+ beta alpha)))) -2) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1))) (- (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) 1) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (/ (- -2 (+ beta alpha)) (- alpha beta)) (* -2 alpha) (+ (* (- alpha beta) (/ 2 (- -2 (+ beta alpha)))) -2) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2))
12.0ms	alpha	@	inf	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (- (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) 1) (* (+ (* (- alpha beta) (/ 2 (- -2 (+ beta alpha)))) -2) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1))) (- (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) 1) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (/ (- -2 (+ beta alpha)) (- alpha beta)) (* -2 alpha) (+ (* (- alpha beta) (/ 2 (- -2 (+ beta alpha)))) -2) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2))
9.0ms	alpha	@	0	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (- (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) 1) (* (+ (* (- alpha beta) (/ 2 (- -2 (+ beta alpha)))) -2) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1))) (- (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) 1) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (/ (- -2 (+ beta alpha)) (- alpha beta)) (* -2 alpha) (+ (* (- alpha beta) (/ 2 (- -2 (+ beta alpha)))) -2) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2))

simplify383.0ms (4.8%)

Memory

-3.4MiB live, 240.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1833	23113
1	5934	22791
0	8097	21161

Stop Event

1×	iter limit
1×	node limit

Counts

229 → 228

Calls

Call 1

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

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

rewrite289.0ms (3.6%)

Memory

4.7MiB live, 125.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	294
0	79	294
1	435	280
2	3518	280
0	11147	271

Stop Event

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

Counts

21 → 351

Calls

Call 1

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

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

eval171.0ms (2.1%)

Memory: 7.8MiB live, 119.7MiB allocated
Compiler: Compiled 47 779 to 3 685 computations (92.3% saved)

prune51.0ms (0.6%)

Memory

-16.3MiB live, 32.3MiB allocated

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	636	11	647
Fresh	5	5	10
Picked	1	4	5
Done	0	3	3
Total	642	23	665

Accuracy

100.0%

Counts

665 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.8%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	3.5%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	47.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (+.f64 (.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))))
	46.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))))
	47.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -12 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -8 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)))))
▶	47.1%	(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 alpha beta) #s(literal -2 binary64)))
	47.2%	(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -8 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))))
▶	46.1%	(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
	46.1%	(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
✓	39.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	77.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	24.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	44.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
✓	43.4%	#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))))
	44.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
✓	49.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	43.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
✓	50.0%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
	48.1%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
▶	48.6%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
▶	47.8%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
	19.6%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
	21.3%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))

Compiler

Compiled 1 363 to 781 computations (42.7% saved)

simplify203.0ms (2.5%)

Memory

15.1MiB live, 121.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	486
0	88	486
1	173	486
2	278	486
3	590	486
4	1722	486
5	6328	486
0	8406	478

Stop Event

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

Calls

Call 1

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

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

localize313.0ms (3.9%)

Memory

7.8MiB live, 291.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.178066259768442	(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64))
accuracy	0.21750518791572604	(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64))
accuracy	20.53544078389398	(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 alpha beta) #s(literal -2 binary64))
accuracy	33.330588529682	(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	0.03515625	(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
accuracy	0.0390625	(*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
accuracy	20.374922906725594	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))
accuracy	33.30042892182792	(-.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))
accuracy	0.0	(+.f64 #s(literal 1 binary64) beta)
accuracy	0.01171875	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
accuracy	48.54712879107925	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
accuracy	0.0	(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
accuracy	19.409805876446008	#s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))
accuracy	20.863193687550552	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
accuracy	0.0	(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
accuracy	0.0	(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))
accuracy	18.907981066080094	#s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
accuracy	20.863193687550552	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))

Samples

102.0ms	57×	2	valid
86.0ms	86×	1	valid
54.0ms	113×	0	valid

Compiler

Compiled 444 to 55 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

adjust: 46.0ms (31.2% of total)

ival-div: 33.0ms (22.4% of total)

ival-add: 23.0ms (15.6% of total)

ival-mult: 17.0ms (11.5% of total)

ival-pow: 15.0ms (10.2% of total)

ival-sub: 12.0ms (8.1% of total)

exact: 1.0ms (0.7% of total)

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

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

series214.0ms (2.7%)

Memory

-23.3MiB live, 295.1MiB allocated

Counts

21 → 271

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
32.0ms	alpha	@	0	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (- (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1) (/ (- (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- (/ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1)) (pow (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1) -1)) (+ (* (/ 2 (- -2 (+ beta alpha))) (- alpha beta)) -2)) (- (/ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1)) (pow (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1) -1)) (/ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1)) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (+ (* (/ 2 (- -2 (+ beta alpha))) (- alpha beta)) -2) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2))
30.0ms	alpha	@	-inf	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (- (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1) (/ (- (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- (/ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1)) (pow (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1) -1)) (+ (* (/ 2 (- -2 (+ beta alpha))) (- alpha beta)) -2)) (- (/ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1)) (pow (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1) -1)) (/ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1)) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (+ (* (/ 2 (- -2 (+ beta alpha))) (- alpha beta)) -2) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2))
25.0ms	beta	@	-inf	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (- (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1) (/ (- (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- (/ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1)) (pow (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1) -1)) (+ (* (/ 2 (- -2 (+ beta alpha))) (- alpha beta)) -2)) (- (/ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1)) (pow (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1) -1)) (/ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1)) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (+ (* (/ 2 (- -2 (+ beta alpha))) (- alpha beta)) -2) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2))
25.0ms	alpha	@	inf	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (- (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1) (/ (- (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- (/ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1)) (pow (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1) -1)) (+ (* (/ 2 (- -2 (+ beta alpha))) (- alpha beta)) -2)) (- (/ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1)) (pow (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1) -1)) (/ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1)) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (+ (* (/ 2 (- -2 (+ beta alpha))) (- alpha beta)) -2) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2))
21.0ms	beta	@	0	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (- (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1) (/ (- (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- (/ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1)) (pow (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1) -1)) (+ (* (/ 2 (- -2 (+ beta alpha))) (- alpha beta)) -2)) (- (/ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1)) (pow (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1) -1)) (/ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2) 1)) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -4) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (+ (* (/ 2 (- -2 (+ beta alpha))) (- alpha beta)) -2) (pow (/ (- -2 (+ beta alpha)) (- alpha beta)) -2))

simplify327.0ms (4.1%)

Memory

10.0MiB live, 605.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2815	68946
0	8410	62883

Stop Event

1×	iter limit
1×	node limit

Counts

271 → 270

Calls

Call 1

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

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

rewrite200.0ms (2.5%)

Memory

27.0MiB live, 302.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	381
0	88	301
1	464	301
2	4020	301
0	8134	295

Stop Event

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

Counts

21 → 628

Calls

Call 1

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

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

eval218.0ms (2.7%)

Memory: -1.0MiB live, 386.8MiB allocated
Compiler: Compiled 97 038 to 4 666 computations (95.2% saved)

prune35.0ms (0.4%)

Memory

7.5MiB live, 90.7MiB allocated

Pruning

27 alts after pruning (15 fresh and 12 done)

	Pruned	Kept	Total
New	764	4	768
Fresh	0	11	11
Picked	0	5	5
Done	0	7	7
Total	764	27	791

Accuracy

100.0%

Counts

791 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.8%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	3.5%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	46.1%	(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
	47.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (+.f64 (.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))))
	46.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))))
	47.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -12 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -8 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)))))
✓	47.1%	(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 alpha beta) #s(literal -2 binary64)))
	47.2%	(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -8 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))))
✓	46.1%	(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
	46.1%	(/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
	46.1%	(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
✓	39.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	77.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	24.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	6.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
	24.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))))
	44.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
✓	43.4%	#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))))
	44.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
✓	49.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	43.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
✓	50.0%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
	48.1%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
✓	48.6%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
✓	47.8%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
	19.6%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
	21.3%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))

Compiler

Compiled 2 264 to 724 computations (68% saved)

regimes53.0ms (0.7%)

Memory

6.3MiB live, 119.4MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- 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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (+.f64 (.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 alpha beta) #s(literal -2 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -12 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -8 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -8 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -6 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64))))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))

Outputs

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

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

Calls

5 calls:

11.0ms	beta
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
10.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
10.0ms	alpha
8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
93.1%	2	`alpha`
79.8%	1	`beta`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes20.0ms (0.2%)

Memory

-8.5MiB live, 36.6MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms

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

5.0ms

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

5.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes18.0ms (0.2%)

Memory

-4.1MiB live, 34.1MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms

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

5.0ms

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

4.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes17.0ms (0.2%)

Memory

-7.7MiB live, 30.4MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms

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

5.0ms

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

4.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes11.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
98.7%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.7%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.7%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes13.0ms (0.2%)

Memory

-15.1MiB live, 23.4MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

6.0ms

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

4.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
98.0%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.0%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.0%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes10.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
97.9%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.9%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.9%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes26.0ms (0.3%)

Memory

-38.5MiB live, 12.9MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

20.0ms

(/.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
94.8%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
94.8%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
94.8%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes11.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

3.0ms	alpha
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))
2.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
66.3%	2	`alpha`
94.5%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
94.5%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
94.5%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes12.0ms (0.1%)

Memory

-19.2MiB live, 19.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

5.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms	beta
2.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
76.9%	2	`beta`
76.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
76.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
76.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes6.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
76.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
76.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
76.5%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
76.6%	2	`beta`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes6.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

4 calls:

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
76.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
76.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
76.5%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
76.5%	2	`beta`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes7.0ms (0.1%)

Memory

-25.4MiB live, 13.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms	beta
1.0ms	alpha
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
43.2%	1	`alpha`
43.2%	1	`beta`
43.2%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
43.2%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
43.2%	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

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999997974	-0.9999804268006637

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	-0.9999999999997974	-0.9999804268006637

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999804268006637	-0.07991993314931489

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999804268006637	-0.07991993314931489

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.010497121386659583	0.9970064530995084
0.0ms	-0.9999804268006637	-0.07991993314931489

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.010497121386659583	0.9970064530995084
0.0ms	-0.9999804268006637	-0.07991993314931489

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.010497121386659583	0.9970064530995084
0.0ms	-0.9999804268006637	-0.07991993314931489

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.010497121386659583	0.9970064530995084
0.0ms	-0.9999804268006637	-0.07991993314931489

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.010497121386659583	0.9970064530995084
0.0ms	-0.9999804268006637	-0.07991993314931489

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch25.0ms (0.3%)

Memory

4.7MiB live, 43.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.1945266332231998	1.4736901226697595e+20

Samples

9.0ms	124×	0	valid
5.0ms	41×	1	valid
2.0ms	11×	2	valid

Compiler

Compiled 489 to 400 computations (18.2% saved)

Precisions

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

ival-div: 5.0ms (44.9% of total)

ival-add: 3.0ms (26.9% of total)

adjust: 2.0ms (18% of total)

ival-sub: 1.0ms (9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Memory

1.8MiB live, 45.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	4.0565271834351437e-16	1.100157125968592e-8

Samples

6.0ms	11×	2	valid
5.0ms	102×	0	valid
4.0ms	31×	1	valid

Compiler

Compiled 403 to 330 computations (18.1% saved)

Precisions

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

adjust: 5.0ms (44.7% of total)

ival-div: 2.0ms (17.9% of total)

ival-add: 2.0ms (17.9% of total)

ival-sub: 1.0ms (8.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory

-12.7MiB live, 26.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.010497121386659583	0.9970064530995084

Samples

5.0ms

112×

valid

Compiler

Compiled 296 to 247 computations (16.6% saved)

Precisions

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

ival-div: 1.0ms (73.4% of total)

ival-add: 1.0ms (73.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify89.0ms (1.1%)

Memory

15.0MiB live, 93.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	833
1	158	833
2	220	833
3	331	833
4	584	833
5	1215	833
6	3056	833
7	5773	833
8	7364	833

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 beta #s(literal 1662273001970115/151115727451828646838272 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 beta alpha) (pow.f64 alpha #s(literal -1 binary64))))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 beta alpha) (pow.f64 alpha #s(literal -1 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))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 beta #s(literal 1662273001970115/151115727451828646838272 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

soundness830.0ms (10.4%)

Memory

3.2MiB live, 679.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1833	23113
1	5934	22791
0	8097	21161
0	1392	13306
1	4478	12727
0	8219	11878
0	2815	68946
0	8410	62883
0	10	44
0	16	44
1	91	44
2	748	44
0	8667	43
0	433	2206
1	1394	2067
2	4609	1878
0	8705	1750

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×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 1 113 to 396 computations (64.4% saved)

preprocess104.0ms (1.3%)

Memory: 11.2MiB live, 86.1MiB allocated
Compiler: Compiled 1 692 to 246 computations (85.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.2s (15.6%)

explain125.0ms (1.6%)

preprocess322.0ms (4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify129.0ms (1.6%)

localize73.0ms (0.9%)

series12.0ms (0.1%)

simplify185.0ms (2.3%)

rewrite229.0ms (2.9%)

eval130.0ms (1.6%)

prune85.0ms (1.1%)

simplify141.0ms (1.8%)

localize184.0ms (2.3%)

series75.0ms (0.9%)

simplify256.0ms (3.2%)

rewrite178.0ms (2.2%)

eval217.0ms (2.7%)

prune27.0ms (0.3%)

simplify203.0ms (2.5%)

localize342.0ms (4.3%)

series116.0ms (1.5%)

simplify383.0ms (4.8%)

rewrite289.0ms (3.6%)

eval171.0ms (2.1%)

prune51.0ms (0.6%)

simplify203.0ms (2.5%)

localize313.0ms (3.9%)

series214.0ms (2.7%)

simplify327.0ms (4.1%)

rewrite200.0ms (2.5%)

eval218.0ms (2.7%)

prune35.0ms (0.4%)

regimes53.0ms (0.7%)

regimes20.0ms (0.2%)

regimes18.0ms (0.2%)

regimes17.0ms (0.2%)

regimes11.0ms (0.1%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

regimes26.0ms (0.3%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch25.0ms (0.3%)

bsearch23.0ms (0.3%)

bsearch10.0ms (0.1%)

simplify89.0ms (1.1%)

soundness830.0ms (10.4%)

preprocess104.0ms (1.3%)

end0.0ms (0%)

Profiling