Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

4.3MiB live, 4.3MiB 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)

sample1.4s (17.7%)

Memory

17.7MiB live, 1 687.2MiB allocated

Samples

581.0ms	6 076×	0	valid
245.0ms	1 475×	1	valid
182.0ms	705×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 731.0ms

ival-add: 290.0ms (39.7% of total)

ival-div: 205.0ms (28% of total)

adjust: 101.0ms (13.8% of total)

ival-sub: 72.0ms (9.8% of total)

ival->: 36.0ms (4.9% of total)

exact: 13.0ms (1.8% of total)

ival-and: 11.0ms (1.5% of total)

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

Bogosity

explain198.0ms (2.6%)

Memory

16.4MiB live, 280.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`	cancellation	75	0

Confusion

	Predicted +	Predicted -
+	75	0
-	0	181

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	181
1	75

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms	40×	2	valid
23.0ms	368×	0	valid
19.0ms	104×	1	valid

Compiler

Compiled 115 to 34 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 10.0ms (31% of total)

adjust: 9.0ms (27.9% of total)

ival-div: 9.0ms (27.9% of total)

ival-sub: 4.0ms (12.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess327.0ms (4.2%)

Memory

-2.6MiB live, 107.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2 176×	`lower-fma.f64`
2 176×	`lower-fma.f32`
1 384×	`distribute-rgt-in`
1 218×	`distribute-lft-in`
1 056×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	71
1	73	67
2	167	67
3	440	65
4	1153	65
5	2761	65
6	5383	65
7	6224	65
8	6491	65
9	6607	65
10	6633	65
11	6633	65
12	6681	65
13	6780	65
14	6780	65
15	6780	65
16	6884	65
17	7904	65
0	10	13
0	16	13
1	28	13
2	45	13
3	73	13
4	133	13
5	292	13
6	572	13
7	944	13
8	1607	13
9	2841	13
10	3063	13
11	3150	13
12	3204	13
13	3206	13
14	3206	13
15	3206	13
0	3206	12

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.3%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify134.0ms (1.7%)

Memory

-11.6MiB live, 92.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff	512	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Rules

2 176×	`lower-fma.f64`
2 176×	`lower-fma.f32`
880×	`lower-*.f64`
880×	`lower-*.f32`
474×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
0	16	48
1	28	48
2	45	48
3	73	48
4	133	48
5	292	48
6	572	48
7	944	48
8	1607	48
9	2841	48
10	3063	48
11	3150	48
12	3204	48
13	3206	48
14	3206	48
15	3206	48
0	3206	47

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.4%)

Memory

12.3MiB live, 87.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 alpha beta)
accuracy	0.01171875	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0.0234375	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	17.00752056797301	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

11.0ms	184×	0	valid
9.0ms	52×	1	valid
6.0ms	20×	2	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 7.0ms (42.7% of total)

ival-add: 4.0ms (24.4% of total)

adjust: 2.0ms (12.2% of total)

ival-sub: 2.0ms (12.2% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory

-17.6MiB live, 61.8MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) (taylor 0 beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))) (taylor 0 beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor 0 beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ alpha (+ 2 alpha))) (taylor 0 beta) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) (taylor 0 beta) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 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))) (taylor 0 beta) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 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))) (taylor 0 beta) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ alpha (+ 2 alpha))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 alpha) (taylor 0 beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (- beta alpha) (taylor 0 beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (- beta alpha) (taylor 0 beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (- beta alpha) (taylor 0 beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (+ 2 alpha) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt alpha (taylor 0 beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (+ alpha beta) (taylor 0 beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (+ alpha beta) (taylor 0 beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (+ alpha beta) (taylor 0 beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) (taylor inf beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) (taylor inf beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 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)))))) (taylor inf beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor inf beta) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) (taylor inf beta) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) (taylor inf beta) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 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)))))) (taylor inf beta) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* alpha (- (/ beta alpha) 1)) (taylor inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* alpha (- (/ beta alpha) 1)) (taylor inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
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#s(alt alpha (taylor inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) (taylor inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) (taylor inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) (taylor inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt alpha (taylor inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (/ beta alpha))) (taylor inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (/ beta alpha))) (taylor inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (/ beta alpha))) (taylor inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf alpha) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf alpha) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (taylor -inf alpha) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) (taylor -inf alpha) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf alpha) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf alpha) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf alpha) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) (taylor -inf alpha) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) (taylor -inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) (taylor -inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) (taylor -inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt alpha (taylor -inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt alpha (taylor -inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	beta	@	inf	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta))
6.0ms	beta	@	0	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta))
4.0ms	alpha	@	inf	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta))
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) 2) (+ alpha beta))
1.0ms	alpha	@	-inf	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta))

simplify189.0ms (2.4%)

Memory

0.7MiB live, 276.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 688×	`lower-fma.f64`
9 688×	`lower-fma.f32`
3 924×	`lower-+.f64`
3 924×	`lower-+.f32`
3 726×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2500
1	1394	2354
2	4567	2155
0	8646	2014

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 131

Calls

Call 1

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

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

rewrite198.0ms (2.6%)

Memory

-9.2MiB live, 260.0MiB allocated

Rules

5 066×	`lower-fma.f64`
5 066×	`lower-fma.f32`
4 410×	`lower-*.f64`
4 410×	`lower-*.f32`
4 264×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	16	44
1	91	44
2	748	44
0	9057	43

Stop Event

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

Counts

6 → 458

Calls

Call 1

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

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

eval77.0ms (1%)

Memory: -10.2MiB live, 149.2MiB allocated
Compiler: Compiled 18 305 to 2 295 computations (87.5% saved)

prune84.0ms (1.1%)

Memory

-4.4MiB live, 192.8MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	575	14	589
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	576	14	590

Accuracy

100.0%

Counts

590 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.3%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	62.0%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	55.9%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	45.4%	(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (-.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	59.4%	(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	73.1%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
	26.8%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 alpha alpha) alpha))) (.f64 beta (fma.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) (.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 beta #s(literal -2 binary64)) (.f64 alpha alpha)))))) alpha)) #s(literal 2 binary64))
	70.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	29.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
	29.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
	26.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 alpha alpha) alpha)) (/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha))
	31.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
▶	49.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
▶	36.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 720 to 366 computations (49.2% saved)

simplify160.0ms (2.1%)

Memory

23.9MiB live, 174.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	128	(-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	384	(fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64)))
cost-diff	0	(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
cost-diff	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)))
cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #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))

Rules

11 880×	`lower-fma.f32`
11 868×	`lower-fma.f64`
4 658×	`lower-+.f32`
4 654×	`lower-+.f64`
2 936×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	318
0	67	318
1	151	298
2	429	289
3	1320	289
4	5960	289
0	8308	283

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

localize232.0ms (3%)

Memory

0.9MiB live, 207.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (+.f64 alpha beta) (+.f64 alpha beta))
accuracy	0.0546875	(fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal 8 binary64))
accuracy	5.62710903382714	(/.f64 (-.f64 beta alpha) (fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal 8 binary64)))
accuracy	25.875027031088322	(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
accuracy	0	(-.f64 beta alpha)
accuracy	0	(+.f64 alpha beta)
accuracy	17.228441778184965	(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy	17.46468184862251	(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64)))
accuracy	0	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
accuracy	0.01953125	(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
accuracy	19.166648694720973	#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)))
accuracy	19.938916964033815	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
accuracy	40.73199795617531	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0	(+.f64 alpha beta)
accuracy	0.01171875	(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
accuracy	0.0234375	(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
accuracy	17.00612631606255	(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

110.0ms	169×	0	valid
70.0ms	56×	1	valid
24.0ms	31×	2	valid

Compiler

Compiled 324 to 42 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-add: 44.0ms (29.3% of total)

ival-mult: 40.0ms (26.6% of total)

adjust: 38.0ms (25.3% of total)

ival-div: 17.0ms (11.3% of total)

ival-sub: 10.0ms (6.7% of total)

exact: 1.0ms (0.7% of total)

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

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

series129.0ms (1.7%)

Memory

-31.3MiB live, 124.1MiB allocated

Counts

21 → 468

Calls

Call 1

Inputs
#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (patch (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ())
#s(alt (-.f64 alpha beta) (patch (-.f64 alpha beta) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (patch (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (patch (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #<representation binary64>) () ())
#s(alt (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (patch (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
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Outputs
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#s(alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1))) (taylor -inf alpha) (#s(alt (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal 8 binary64)) (patch (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1))) (taylor -inf alpha) (#s(alt (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal 8 binary64)) (patch (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (+ 8 (pow beta 3)) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1))) (taylor -inf alpha) (#s(alt (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal 8 binary64)) (patch (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow alpha 2) (taylor -inf alpha) (#s(alt (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (patch (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #<representation binary64>) () ())) ())
#s(alt (* (pow alpha 2) (+ 1 (* 2 (/ beta alpha)))) (taylor -inf alpha) (#s(alt (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (patch (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #<representation binary64>) () ())) ())
#s(alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha)))) (taylor -inf alpha) (#s(alt (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (patch (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #<representation binary64>) () ())) ())
#s(alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha)))) (taylor -inf alpha) (#s(alt (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (patch (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	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) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (/ (+ (* (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (- (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (- (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) (- 4 (* 2 (+ alpha beta)))) (- 4 (* 2 (+ alpha beta))) (/ (+ (* (/ (- beta alpha) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8)) (+ (* (+ alpha beta) (+ alpha beta)) (- 4 (* 2 (+ alpha beta))))) 1) 2) (+ (* (/ (- beta alpha) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8)) (+ (* (+ alpha beta) (+ alpha beta)) (- 4 (* 2 (+ alpha beta))))) 1) (+ alpha beta) (/ (- beta alpha) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8)) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8) (* (+ alpha beta) (+ alpha beta)))
21.0ms	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) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (/ (+ (* (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (- (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (- (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) (- 4 (* 2 (+ alpha beta)))) (- 4 (* 2 (+ alpha beta))) (/ (+ (* (/ (- beta alpha) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8)) (+ (* (+ alpha beta) (+ alpha beta)) (- 4 (* 2 (+ alpha beta))))) 1) 2) (+ (* (/ (- beta alpha) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8)) (+ (* (+ alpha beta) (+ alpha beta)) (- 4 (* 2 (+ alpha beta))))) 1) (+ alpha beta) (/ (- beta alpha) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8)) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8) (* (+ alpha beta) (+ alpha beta)))
17.0ms	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) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (/ (+ (* (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (- (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (- (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) (- 4 (* 2 (+ alpha beta)))) (- 4 (* 2 (+ alpha beta))) (/ (+ (* (/ (- beta alpha) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8)) (+ (* (+ alpha beta) (+ alpha beta)) (- 4 (* 2 (+ alpha beta))))) 1) 2) (+ (* (/ (- beta alpha) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8)) (+ (* (+ alpha beta) (+ alpha beta)) (- 4 (* 2 (+ alpha beta))))) 1) (+ alpha beta) (/ (- beta alpha) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8)) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8) (* (+ alpha beta) (+ alpha beta)))
9.0ms	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) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (/ (+ (* (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (- (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (- (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) (- 4 (* 2 (+ alpha beta)))) (- 4 (* 2 (+ alpha beta))) (/ (+ (* (/ (- beta alpha) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8)) (+ (* (+ alpha beta) (+ alpha beta)) (- 4 (* 2 (+ alpha beta))))) 1) 2) (+ (* (/ (- beta alpha) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8)) (+ (* (+ alpha beta) (+ alpha beta)) (- 4 (* 2 (+ alpha beta))))) 1) (+ alpha beta) (/ (- beta alpha) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8)) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8) (* (+ alpha beta) (+ alpha beta)))
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) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (/ (+ (* (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (- (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (- (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) (- 4 (* 2 (+ alpha beta)))) (- 4 (* 2 (+ alpha beta))) (/ (+ (* (/ (- beta alpha) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8)) (+ (* (+ alpha beta) (+ alpha beta)) (- 4 (* 2 (+ alpha beta))))) 1) 2) (+ (* (/ (- beta alpha) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8)) (+ (* (+ alpha beta) (+ alpha beta)) (- 4 (* 2 (+ alpha beta))))) 1) (+ alpha beta) (/ (- beta alpha) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8)) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) 8) (* (+ alpha beta) (+ alpha beta)))

simplify301.0ms (3.9%)

Memory

51.3MiB live, 303.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 830×	`lower-fma.f64`
5 830×	`lower-fma.f32`
5 376×	`lower-+.f64`
5 376×	`lower-+.f32`
5 312×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2002	17517
1	6654	16914
0	8181	15891

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 456

Calls

Call 1

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

Outputs
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))))
(+ 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))))))))
(+.f64 (fma.f64 (fma.f64 (.f64 beta (/.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64) (.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) beta (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(+ 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)))))))))))
(+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)))) (.f64 (/.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64))) beta (.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) beta (.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(* -1 (/ alpha (+ 2 alpha)))
(/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))
(fma.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (.f64 beta (/.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)))
(+ (* -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))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)))) beta (neg.f64 (/.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 2 binary64) alpha)))) beta (+.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)))
alpha
(+ alpha (* -1 beta))
(-.f64 alpha beta)
(+ alpha (* -1 beta))
(-.f64 alpha beta)
(+ alpha (* -1 beta))
(-.f64 alpha beta)
(* -1 (+ 2 alpha))
(-.f64 #s(literal -2 binary64) alpha)
(- (* -1 beta) (+ 2 alpha))
(-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) alpha)
(- (* -1 beta) (+ 2 alpha))
(-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) alpha)
(- (* -1 beta) (+ 2 alpha))
(-.f64 (-.f64 (neg.f64 beta) #s(literal 2 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 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.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 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta (+.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.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)))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 (/.f64 (neg.f64 alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))) beta (.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(* 1/2 (- 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 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.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 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta (+.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.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)))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 (/.f64 (neg.f64 alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))) beta (.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(* 1/2 (+ 1 (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 alpha #s(literal 2 binary64)) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal 1/2 binary64))
(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4))))))) (* 1/2 (+ 1 (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 alpha (fma.f64 alpha alpha #s(literal -4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 alpha alpha) (-.f64 alpha #s(literal 2 binary64))) (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 alpha alpha #s(literal -4 binary64))))) beta (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 alpha #s(literal 2 binary64)) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))))))
(+ (* 1/2 (+ 1 (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (- (pow alpha 2) 4)) (+ (* -1 (/ (* alpha (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ (* alpha (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))) (- (pow alpha 2) 4))))))) (* 1/2 (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 alpha alpha #s(literal -4 binary64))) (fma.f64 (.f64 alpha (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 alpha (fma.f64 alpha alpha #s(literal -4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 alpha alpha) (-.f64 alpha #s(literal 2 binary64))) (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 alpha alpha #s(literal -4 binary64))))) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal 2 binary64) (/.f64 (.f64 (neg.f64 alpha) (-.f64 alpha #s(literal 2 binary64))) (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))))) beta (-.f64 (.f64 #s(literal 0 binary64) (/.f64 alpha (fma.f64 alpha alpha #s(literal -4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 alpha alpha) (-.f64 alpha #s(literal 2 binary64))) (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 alpha alpha #s(literal -4 binary64))))))) beta (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 alpha #s(literal 2 binary64)) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4))))) (* beta (+ (* 1/2 (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))) (* beta (+ (* 1/2 (* beta (- (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 3))) (* 2 (/ 1 (pow (- (pow alpha 2) 4) 2)))) (+ (* -1 (/ alpha (pow (- (pow alpha 2) 4) 2))) (+ (* 2 (/ (* alpha (- (/ 1 (- (pow alpha 2) 4)) (+ (* -1 (/ (* alpha (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ (* alpha (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))) (- (pow alpha 2) 4)))))) (- (pow alpha 2) 4))) (/ alpha (pow (- (pow alpha 2) 4) 2))))))) (* 1/2 (- (/ 1 (- (pow alpha 2) 4)) (+ (* -1 (/ (* alpha (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ (* alpha (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))) (- (pow alpha 2) 4)))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 alpha alpha) (-.f64 alpha #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))))) (-.f64 (fma.f64 (.f64 alpha (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 alpha alpha #s(literal -4 binary64))) (fma.f64 (.f64 alpha (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 alpha (fma.f64 alpha alpha #s(literal -4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 alpha alpha) (-.f64 alpha #s(literal 2 binary64))) (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 alpha alpha #s(literal -4 binary64))))) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal 2 binary64) (/.f64 (.f64 (neg.f64 alpha) (-.f64 alpha #s(literal 2 binary64))) (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))))) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal 2 binary64) (/.f64 alpha (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))))) (/.f64 alpha (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))))) beta (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 alpha alpha #s(literal -4 binary64))) (fma.f64 (.f64 alpha (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 alpha (fma.f64 alpha alpha #s(literal -4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 alpha alpha) (-.f64 alpha #s(literal 2 binary64))) (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 alpha alpha #s(literal -4 binary64))))) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal 2 binary64) (/.f64 (.f64 (neg.f64 alpha) (-.f64 alpha #s(literal 2 binary64))) (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))))))) beta (.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 alpha (fma.f64 alpha alpha #s(literal -4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 alpha alpha) (-.f64 alpha #s(literal 2 binary64))) (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 alpha alpha #s(literal -4 binary64))))) #s(literal 1/2 binary64))) beta (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 alpha #s(literal 2 binary64)) alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal 1/2 binary64)))
(+ 1 (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha #s(literal 2 binary64)) alpha) (fma.f64 alpha alpha #s(literal -4 binary64))))
(+ 1 (+ (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4))) (* beta (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4))))))))
(+.f64 (fma.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 alpha (fma.f64 alpha alpha #s(literal -4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 alpha alpha) (-.f64 alpha #s(literal 2 binary64))) (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 alpha alpha #s(literal -4 binary64))))) beta (/.f64 (*.f64 (neg.f64 alpha) (-.f64 alpha #s(literal 2 binary64))) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4))) (* beta (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (+ (* beta (- (/ 1 (- (pow alpha 2) 4)) (+ (* -1 (/ (* alpha (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ (* alpha (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))) (- (pow alpha 2) 4)))))) (/ alpha (- (pow alpha 2) 4)))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4))))))))
(+.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 alpha alpha #s(literal -4 binary64))) (fma.f64 (.f64 alpha (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 alpha (fma.f64 alpha alpha #s(literal -4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 alpha alpha) (-.f64 alpha #s(literal 2 binary64))) (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 alpha alpha #s(literal -4 binary64))))) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal 2 binary64) (/.f64 (.f64 (neg.f64 alpha) (-.f64 alpha #s(literal 2 binary64))) (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))))) beta (/.f64 alpha (fma.f64 alpha alpha #s(literal -4 binary64)))) (/.f64 alpha (fma.f64 alpha alpha #s(literal -4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 alpha alpha) (-.f64 alpha #s(literal 2 binary64))) (.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 alpha alpha #s(literal -4 binary64))))) beta (/.f64 (*.f64 (neg.f64 alpha) (-.f64 alpha #s(literal 2 binary64))) (fma.f64 alpha alpha #s(literal -4 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4))) (* beta (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (+ (* beta (- (+ (* beta (- (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 3))) (* 2 (/ 1 (pow (- (pow alpha 2) 4) 2)))) (+ (* -1 (/ alpha (pow (- (pow alpha 2) 4) 2))) (+ (* 2 (/ (* alpha (- (/ 1 (- (pow alpha 2) 4)) (+ (* -1 (/ (* alpha (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ (* alpha (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))) (- (pow alpha 2) 4)))))) (- (pow alpha 2) 4))) (/ alpha (pow (- (pow alpha 2) 4) 2)))))) (/ 1 (- (pow alpha 2) 4))) (+ (* -1 (/ (* alpha (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ (* alpha (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))) (- (pow alpha 2) 4)))))) (/ alpha (- (pow alpha 2) 4)))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4))))))))
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(* -1 (/ alpha (- (pow alpha 2) 4)))
(/.f64 (neg.f64 alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))
(+ (* -1 (/ alpha (- (pow alpha 2) 4))) (* beta (- (/ 1 (- (pow alpha 2) 4)) (* -2 (/ (pow alpha 2) (pow (- (pow alpha 2) 4) 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 alpha alpha #s(literal -4 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 alpha alpha)) (*.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))))) beta (/.f64 (neg.f64 alpha) (fma.f64 alpha alpha #s(literal -4 binary64))))
(+ (* -1 (/ alpha (- (pow alpha 2) 4))) (* beta (- (+ (* -1 (* beta (+ (* -1 (/ alpha (pow (- (pow alpha 2) 4) 2))) (* 2 (/ (* alpha (- (/ 1 (- (pow alpha 2) 4)) (* -2 (/ (pow alpha 2) (pow (- (pow alpha 2) 4) 2))))) (- (pow alpha 2) 4)))))) (/ 1 (- (pow alpha 2) 4))) (* -2 (/ (pow alpha 2) (pow (- (pow alpha 2) 4) 2))))))
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(+ (* -1 (/ alpha (- (pow alpha 2) 4))) (* beta (- (+ (* beta (- (* beta (- (* -2 (/ (pow alpha 2) (pow (- (pow alpha 2) 4) 3))) (+ (* -2 (/ (* alpha (+ (* -1 (/ alpha (pow (- (pow alpha 2) 4) 2))) (* 2 (/ (* alpha (- (/ 1 (- (pow alpha 2) 4)) (* -2 (/ (pow alpha 2) (pow (- (pow alpha 2) 4) 2))))) (- (pow alpha 2) 4))))) (- (pow alpha 2) 4))) (/ 1 (pow (- (pow alpha 2) 4) 2))))) (+ (* -1 (/ alpha (pow (- (pow alpha 2) 4) 2))) (* 2 (/ (* alpha (- (/ 1 (- (pow alpha 2) 4)) (* -2 (/ (pow alpha 2) (pow (- (pow alpha 2) 4) 2))))) (- (pow alpha 2) 4)))))) (/ 1 (- (pow alpha 2) 4))) (* -2 (/ (pow alpha 2) (pow (- (pow alpha 2) 4) 2))))))
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(* -1 alpha)
(neg.f64 alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
(- (+ 4 (pow alpha 2)) (* 2 alpha))
(-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) alpha))
(- (+ 4 (+ (* beta (- (* 2 alpha) 2)) (pow alpha 2))) (* 2 alpha))
(-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal -2 binary64)) beta (.f64 alpha alpha)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) alpha))
(- (+ 4 (+ (* beta (- (+ beta (* 2 alpha)) 2)) (pow alpha 2))) (* 2 alpha))
(-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) alpha beta) #s(literal 2 binary64)) beta (.f64 alpha alpha)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) alpha))
(- (+ 4 (+ (* beta (- (+ beta (* 2 alpha)) 2)) (pow alpha 2))) (* 2 alpha))
(-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) alpha beta) #s(literal 2 binary64)) beta (.f64 alpha alpha)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) alpha))
(- 4 (* 2 alpha))
(fma.f64 #s(literal -2 binary64) alpha #s(literal 4 binary64))
(- (+ 4 (* -2 beta)) (* 2 alpha))
(-.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) alpha))
(- (+ 4 (* -2 beta)) (* 2 alpha))
(-.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) alpha))
(- (+ 4 (* -2 beta)) (* 2 alpha))
(-.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) alpha))
(* 1/2 (+ 1 (* -1 (/ (* alpha (- (+ 4 (pow alpha 2)) (* 2 alpha))) (+ 8 (pow alpha 3))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 alpha (/.f64 (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) alpha)) (fma.f64 (.f64 alpha alpha) alpha #s(literal 8 binary64))))) #s(literal 1/2 binary64))
(+ (* 1/2 (* beta (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ 4 (pow alpha 2)) (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (* 2 (/ alpha (+ 8 (pow alpha 3)))))))) (* 1/2 (+ 1 (* -1 (/ (* alpha (- (+ 4 (pow alpha 2)) (* 2 alpha))) (+ 8 (pow alpha 3)))))))
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(+ (* 1/2 (+ 1 (* -1 (/ (* alpha (- (+ 4 (pow alpha 2)) (* 2 alpha))) (+ 8 (pow alpha 3)))))) (* beta (+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ alpha (* 2 alpha)) (- (+ 4 (pow alpha 2)) (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ 4 (pow alpha 2)) (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (* 2 (/ alpha (+ 8 (pow alpha 3))))))) (+ 8 (pow alpha 3)))))))) (* 1/2 (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ 4 (pow alpha 2)) (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (* 2 (/ alpha (+ 8 (pow alpha 3))))))))))
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(+ (* 1/2 (+ 1 (* -1 (/ (* alpha (- (+ 4 (pow alpha 2)) (* 2 alpha))) (+ 8 (pow alpha 3)))))) (* beta (+ (* 1/2 (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ 4 (pow alpha 2)) (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (* 2 (/ alpha (+ 8 (pow alpha 3))))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (+ 8 (pow alpha 3))) (+ (* -1 (/ (* alpha (- (+ 4 (pow alpha 2)) (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (+ (/ (* (+ alpha (* 2 alpha)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ 4 (pow alpha 2)) (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (* 2 (/ alpha (+ 8 (pow alpha 3))))))) (+ 8 (pow alpha 3))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ alpha (* 2 alpha)) (- (+ 4 (pow alpha 2)) (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ 4 (pow alpha 2)) (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (* 2 (/ alpha (+ 8 (pow alpha 3))))))) (+ 8 (pow alpha 3))))))) (+ 8 (pow alpha 3)))))))) (* 1/2 (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ alpha (* 2 alpha)) (- (+ 4 (pow alpha 2)) (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ 4 (pow alpha 2)) (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (* 2 (/ alpha (+ 8 (pow alpha 3))))))) (+ 8 (pow alpha 3))))))))))))
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#s(literal 2 binary64)
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beta
(* beta (+ 1 (/ alpha beta)))
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1
#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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2
#s(literal 2 binary64)
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(/ 1 beta)
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#s(literal 2 binary64)
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beta
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(/ 1 (pow beta 2))
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(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2))
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(- (+ 4 (+ (* alpha (- (* 2 beta) 2)) (pow beta 2))) (* 2 beta))
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(- (+ 4 (+ (* alpha (- (+ alpha (* 2 beta)) 2)) (pow beta 2))) (* 2 beta))
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(- 4 (* 2 beta))
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(- (+ 4 (* -2 alpha)) (* 2 beta))
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(* 1/2 (+ 1 (/ (* beta (- (+ 4 (pow beta 2)) (* 2 beta))) (+ 8 (pow beta 3)))))
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-1
#s(literal -1 binary64)
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alpha
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(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
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(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
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(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (- (+ 4 (pow beta 2)) (* 2 beta)) alpha)) (+ (/ (* beta (- (* 2 beta) 2)) alpha) (/ (* beta (- (+ 4 (pow beta 2)) (* 2 beta))) (pow alpha 2)))))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (- (+ 4 (pow beta 2)) (* 2 beta))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))))) alpha)
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(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (- (+ 4 (pow beta 2)) (* 2 beta))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (- (+ 4 (pow beta 2)) (* 2 beta))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (- (+ 4 (pow beta 2)) (* 2 beta))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (* -1 (/ (- (+ 4 (pow beta 2)) (* 2 beta)) alpha)) (+ (/ (* beta (- (* 2 beta) 2)) alpha) (/ (* beta (- (+ 4 (pow beta 2)) (* 2 beta))) (pow alpha 2))))))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (- (+ 4 (pow beta 2)) (* 2 beta))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))))) alpha)
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alpha
(* alpha (+ 1 (/ beta alpha)))
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(* alpha (+ 1 (/ beta alpha)))
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(* alpha (+ 1 (/ beta alpha)))
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(/ -1 (pow alpha 2))
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(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2))
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(/ (- (+ (* -1 (/ (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2))
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(/ (- (+ (* -1 (/ (+ (* -1 (* (+ beta (* 2 beta)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))))) (+ (* -1 (+ 8 (pow beta 3))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- beta (* -1 (+ beta (* 2 beta))))))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ (+ beta (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) (pow alpha 2))) (/ (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))) (pow alpha 2))
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(pow alpha 3)
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(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (/ beta alpha))))
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(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))))
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(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (* 8 (/ 1 (pow alpha 3))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3)))))))))
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(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))
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(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
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(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
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(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
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(* -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))
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#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
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(- (* -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)
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alpha
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(* -1 (* alpha (- (/ beta alpha) 1)))
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(* -1 alpha)
(neg.f64 alpha)
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(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
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(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
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(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -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))
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(/ 1 alpha)
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(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
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(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
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(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha)) #s(literal 2 binary64)) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) alpha) #s(literal 8 binary64)) alpha)) #s(literal 4 binary64)) alpha)) #s(literal 2 binary64)) alpha))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha)) alpha))
(* -1/2 (/ (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) alpha))
(*.f64 (/.f64 (-.f64 (-.f64 beta beta) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/2 (/ (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) alpha))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (.f64 #s(literal -2 binary64) beta) (-.f64 (-.f64 beta beta) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (neg.f64 (fma.f64 beta beta #s(literal -4 binary64))))) alpha) #s(literal -1/2 binary64) (*.f64 (-.f64 (-.f64 beta beta) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4))))) (* 1/2 (/ (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4)))) (* 1/2 (/ (+ (* 2 (* beta (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4))))) (* (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) (- (pow beta 2) 4))) alpha))) alpha)) (* 1/2 (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) alpha))
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(* -1 (/ (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) alpha)))) (+ 2 (* 2 beta))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -2 (/ (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4))))) alpha)) (+ (* beta (- beta 2)) (/ (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4)) alpha))) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) alpha)))) (+ 2 (* 2 beta))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* beta (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4)))) alpha)) (/ (* (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) (- (pow beta 2) 4)) alpha)) (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4)))) alpha)) (* beta (- beta 2))) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) alpha)))) (+ 2 (* 2 beta))) alpha))
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(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(* -1 (/ (+ 1 (* -1 (/ (- beta (* -2 beta)) alpha))) alpha))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) beta) alpha)) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (* -1 (/ (- 4 (+ (* -2 (* beta (- beta (* -2 beta)))) (pow beta 2))) alpha))) (* -2 beta)) alpha))) alpha))
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(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (* -1 (/ (- (+ 4 (+ (* -2 (/ (* beta (- 4 (+ (* -2 (* beta (- beta (* -2 beta)))) (pow beta 2)))) alpha)) (/ (* (- beta (* -2 beta)) (- (pow beta 2) 4)) alpha))) (+ (* -2 (* beta (- beta (* -2 beta)))) (pow beta 2))) alpha))) (* -2 beta)) alpha))) alpha))
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(* -1 alpha)
(neg.f64 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(*.f64 (neg.f64 alpha) (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(*.f64 (neg.f64 alpha) (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(*.f64 (neg.f64 alpha) (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ 2 (* -2 beta)) alpha))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal 2 binary64)) alpha)) (.f64 alpha alpha))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ 2 (+ (* -2 beta) (* -1 (/ (- (+ 4 (pow beta 2)) (* 2 beta)) alpha)))) alpha))))
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ 2 (+ (* -2 beta) (* -1 (/ (- (+ 4 (pow beta 2)) (* 2 beta)) alpha)))) alpha))))
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(* -2 alpha)
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(* -1 (* alpha (+ 2 (* -1 (/ (- 4 (* 2 beta)) alpha)))))
(*.f64 (neg.f64 alpha) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64)) alpha)))
(* -1 (* alpha (+ 2 (* -1 (/ (- 4 (* 2 beta)) alpha)))))
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(* -1 (* alpha (+ 2 (* -1 (/ (- 4 (* 2 beta)) alpha)))))
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(* -1/2 (/ (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))) alpha))
(.f64 (/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (+ 4 (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))) (* 2 beta))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha)) (* 1/2 (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* beta (- (+ 4 (pow beta 2)) (* 2 beta)))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (- (+ 4 (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))) (* 2 beta))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha)) (* 1/2 (- (* -1 (- (+ 4 (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))) (* 2 beta))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* beta (- (+ 4 (pow beta 2)) (* 2 beta)))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (- (+ 4 (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))) (* 2 beta))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3)))))) (* 1/2 (/ (+ (* -1 (* (+ 8 (pow beta 3)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (* beta (- (+ 4 (pow beta 2)) (* 2 beta)))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (- (+ 4 (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))) (* 2 beta))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))))) (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (- (+ 4 (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))) (* 2 beta))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))))) alpha))) alpha)) (* 1/2 (- (* -1 (- (+ 4 (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))) (* 2 beta))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) alpha))
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(* -1 (/ (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal 3 binary64) beta)) alpha))
(* -1 (/ (- (+ (* -1 (+ 2 (+ beta (* -2 beta)))) (* -1 (/ (- (* -1 (- (+ 4 (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))) (* 2 beta))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha))
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(* -1 (/ (- (+ (* -1 (+ 2 (+ beta (* -2 beta)))) (* -1 (/ (- (+ (* -1 (- (+ 4 (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))) (* 2 beta))) (* -1 (/ (- (* -1 (* beta (- (+ 4 (pow beta 2)) (* 2 beta)))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (- (+ 4 (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))) (* 2 beta))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha))
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(* -1 (/ (- (+ (* -1 (+ 2 (+ beta (* -2 beta)))) (* -1 (/ (- (+ (* -1 (- (+ 4 (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))) (* 2 beta))) (* -1 (/ (- (+ (* -1 (* beta (- (+ 4 (pow beta 2)) (* 2 beta)))) (+ (* -1 (/ (* (+ 8 (pow beta 3)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta)))) alpha)) (+ (* -1 (/ (* (+ beta (* 2 beta)) (- (* -1 (* beta (- (+ 4 (pow beta 2)) (* 2 beta)))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (- (+ 4 (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))) (* 2 beta))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3)))))) alpha)) (* -1 (/ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (- (+ 4 (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))) (* 2 beta))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2)))))) alpha))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (- (+ 4 (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))) (* 2 beta))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha))
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alpha
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(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
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(/ (- (* -1 (/ (- (+ (* -2 (/ (pow beta 2) alpha)) (+ (* -1 beta) (+ (* -1 (/ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta)))) alpha)) (* -1 (/ (pow beta 2) alpha))))) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2))
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 beta beta) alpha) #s(literal -2 binary64) (-.f64 (-.f64 (/.f64 (neg.f64 (.f64 beta beta)) alpha) (.f64 (.f64 #s(literal 3 binary64) beta) (/.f64 (-.f64 (neg.f64 beta) (.f64 #s(literal 3 binary64) beta)) alpha))) beta)) (.f64 #s(literal 3 binary64) beta)) alpha)) #s(literal 1 binary64)) (*.f64 alpha alpha))
(/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 beta) (+ beta (* 2 beta)))) alpha)) (+ (* 8 (/ 1 alpha)) (+ (/ (* (+ beta (* 2 beta)) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha) (/ (pow beta 3) alpha)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2))
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (.f64 #s(literal 3 binary64) beta) (/.f64 (fma.f64 (.f64 beta beta) #s(literal -2 binary64) (-.f64 (neg.f64 (.f64 beta beta)) (.f64 (-.f64 (neg.f64 beta) (.f64 #s(literal 3 binary64) beta)) (.f64 #s(literal 3 binary64) beta)))) alpha) (/.f64 (.f64 (.f64 beta beta) beta) alpha)) (/.f64 #s(literal 8 binary64) alpha)) (.f64 (.f64 (.f64 beta beta) #s(literal -3 binary64)) (/.f64 (-.f64 (neg.f64 beta) (.f64 #s(literal 3 binary64) beta)) alpha))) (fma.f64 (.f64 beta beta) #s(literal -2 binary64) (-.f64 (neg.f64 (.f64 beta beta)) (.f64 (-.f64 (neg.f64 beta) (.f64 #s(literal 3 binary64) beta)) (.f64 #s(literal 3 binary64) beta))))) alpha)) (.f64 #s(literal 3 binary64) beta)) alpha)) #s(literal 1 binary64)) (*.f64 alpha alpha))
(pow alpha 3)
(.f64 (.f64 alpha alpha) alpha)
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1)))
(neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (.f64 #s(literal 3 binary64) beta) alpha)) #s(literal 1 binary64)) (.f64 (.f64 alpha alpha) alpha)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1)))
(neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 beta (/.f64 (.f64 (.f64 beta beta) #s(literal -3 binary64)) alpha)) (.f64 beta #s(literal 2 binary64))) alpha)) #s(literal 1 binary64)) (.f64 (.f64 alpha alpha) alpha)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (+ 8 (pow beta 3)) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1)))
(neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 beta beta) #s(literal -2 binary64) (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 beta beta) beta #s(literal 8 binary64))) alpha) (.f64 beta beta))) alpha))) beta) alpha)) #s(literal 1 binary64)) (.f64 (.f64 alpha alpha) alpha)))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))
(.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 alpha alpha))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta (/.f64 (neg.f64 (.f64 beta beta)) alpha)) alpha)) (*.f64 alpha alpha))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta (/.f64 (neg.f64 (.f64 beta beta)) alpha)) alpha)) (*.f64 alpha alpha))

rewrite290.0ms (3.7%)

Memory

11.9MiB live, 292.8MiB allocated

Rules

4 172×	`lower-/.f32`
4 162×	`lower-/.f64`
3 014×	`lower-*.f32`
3 008×	`lower-*.f64`
2 420×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	268
0	67	224
1	362	194
2	3627	194
0	8329	192

Stop Event

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

Counts

21 → 684

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

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 (.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 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 (.f64 (.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.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 1/2 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 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.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 (/.f64 (.f64 (.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (neg.f64 (-.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 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/4 binary64)))) (neg.f64 (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 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.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 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (-.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 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #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 (/.f64 (.f64 (.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) #s(literal 1/2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.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) (neg.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 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.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 (/.f64 (.f64 (.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #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 (/.f64 (.f64 (.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) #s(literal 1/2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.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 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (/.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 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.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 (/.f64 (.f64 (.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 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)) (neg.f64 (fma.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha) #s(literal 8 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)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #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 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (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))))
(+.f64 (*.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 1/2 binary64) (*.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (.f64 (+.f64 beta alpha) (-.f64 alpha beta))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (.f64 (fma.f64 (+.f64 beta alpha) beta (.f64 alpha alpha)) (-.f64 alpha beta))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) beta (.f64 alpha alpha))))
(*.f64 (/.f64 (-.f64 alpha beta) (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)))) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 alpha beta) (neg.f64 (fma.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha) #s(literal 8 binary64)))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 alpha beta)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 alpha beta))
(*.f64 (neg.f64 (-.f64 alpha beta)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)) (.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))) (fma.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha) #s(literal -8 binary64))) (/.f64 #s(literal 64 binary64) (fma.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha) #s(literal -8 binary64))))
(+.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (+.f64 beta alpha) alpha) (+.f64 beta alpha))) (.f64 (.f64 (+.f64 beta alpha) beta) (+.f64 beta alpha)))
(+.f64 (.f64 (.f64 (+.f64 beta alpha) alpha) (+.f64 beta alpha)) (fma.f64 (*.f64 (+.f64 beta alpha) beta) (+.f64 beta alpha) #s(literal 8 binary64)))
(+.f64 (.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)) #s(literal 8 binary64))
(+.f64 #s(literal 8 binary64) (.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))
(*.f64 (exp.f64 (log.f64 (+.f64 beta alpha))) (exp.f64 (log.f64 (+.f64 beta alpha))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (.f64 (+.f64 beta alpha) (-.f64 alpha beta))) #s(literal 2 binary64)) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (.f64 (fma.f64 (+.f64 beta alpha) beta (.f64 alpha alpha)) (-.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (+.f64 beta alpha) beta (*.f64 alpha alpha)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 alpha beta)) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 (.f64 beta beta) beta (.f64 (.f64 alpha alpha) alpha)) (fma.f64 (.f64 beta beta) beta (.f64 (.f64 alpha alpha) alpha))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))) #s(literal 2 binary64)))
(*.f64 (neg.f64 (+.f64 beta alpha)) (neg.f64 (+.f64 beta alpha)))
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha))
(pow.f64 (exp.f64 (log.f64 (+.f64 beta alpha))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (+.f64 beta alpha)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1 binary64))
(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (+.f64 beta alpha))) (neg.f64 (-.f64 alpha beta)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 beta beta) beta (.f64 (.f64 alpha alpha) alpha)) (+.f64 beta alpha))) (neg.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))))
(/.f64 (neg.f64 (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (-.f64 alpha beta)))) (neg.f64 (-.f64 alpha beta)))
(/.f64 (neg.f64 (.f64 (+.f64 beta alpha) (fma.f64 (.f64 beta beta) beta (.f64 (.f64 alpha alpha) alpha)))) (neg.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (+.f64 beta alpha) alpha) (.f64 (+.f64 beta alpha) alpha)) (.f64 (.f64 (+.f64 beta alpha) beta) (.f64 (+.f64 beta alpha) beta)))) (neg.f64 (-.f64 (.f64 (+.f64 beta alpha) alpha) (.f64 (+.f64 beta alpha) beta))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 alpha alpha) alpha) (.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)) (.f64 (.f64 (.f64 beta beta) beta) (.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (neg.f64 (fma.f64 (.f64 (+.f64 beta alpha) alpha) (.f64 (+.f64 beta alpha) alpha) (-.f64 (.f64 (.f64 (+.f64 beta alpha) beta) (.f64 (+.f64 beta alpha) beta)) (.f64 (.f64 (+.f64 beta alpha) alpha) (*.f64 (+.f64 beta alpha) beta))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (.f64 (+.f64 beta alpha) (-.f64 alpha beta)))) (neg.f64 (.f64 (-.f64 alpha beta) (-.f64 alpha beta))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (fma.f64 (.f64 beta beta) beta (.f64 (.f64 alpha alpha) alpha)))) (neg.f64 (.f64 (-.f64 alpha beta) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 beta beta) beta (.f64 (.f64 alpha alpha) alpha)) (.f64 (+.f64 beta alpha) (-.f64 alpha beta)))) (neg.f64 (.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) (-.f64 alpha beta))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 beta beta) beta (.f64 (.f64 alpha alpha) alpha)) (fma.f64 (.f64 beta beta) beta (.f64 (.f64 alpha alpha) alpha)))) (neg.f64 (.f64 (fma.f64 beta (-.f64 beta alpha) (.f64 alpha alpha)) (fma.f64 beta (-.f64 beta alpha) (.f64 alpha alpha)))))
(/.f64 (.f64 (.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (+.f64 beta alpha)) (-.f64 alpha beta))
(/.f64 (.f64 (fma.f64 (.f64 beta beta) beta (.f64 (.f64 alpha alpha) alpha)) (+.f64 beta alpha)) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (-.f64 alpha beta))
(/.f64 (.f64 (+.f64 beta alpha) (fma.f64 (.f64 beta beta) beta (.f64 (.f64 alpha alpha) alpha))) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 beta alpha) alpha) (.f64 (+.f64 beta alpha) alpha)) (.f64 (.f64 (+.f64 beta alpha) beta) (.f64 (+.f64 beta alpha) beta))) (-.f64 (.f64 (+.f64 beta alpha) alpha) (.f64 (+.f64 beta alpha) beta)))
(/.f64 (fma.f64 (.f64 (.f64 alpha alpha) alpha) (.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)) (.f64 (.f64 (.f64 beta beta) beta) (.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) (fma.f64 (.f64 (+.f64 beta alpha) alpha) (.f64 (+.f64 beta alpha) alpha) (-.f64 (.f64 (.f64 (+.f64 beta alpha) beta) (.f64 (+.f64 beta alpha) beta)) (.f64 (.f64 (+.f64 beta alpha) alpha) (*.f64 (+.f64 beta alpha) beta)))))
(/.f64 (.f64 (.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (.f64 (-.f64 alpha beta) (-.f64 alpha beta)))
(/.f64 (.f64 (.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (fma.f64 (.f64 beta beta) beta (.f64 (.f64 alpha alpha) alpha))) (.f64 (-.f64 alpha beta) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))))
(/.f64 (.f64 (fma.f64 (.f64 beta beta) beta (.f64 (.f64 alpha alpha) alpha)) (.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) (-.f64 alpha beta)))
(/.f64 (.f64 (fma.f64 (.f64 beta beta) beta (.f64 (.f64 alpha alpha) alpha)) (fma.f64 (.f64 beta beta) beta (.f64 (.f64 alpha alpha) alpha))) (.f64 (fma.f64 beta (-.f64 beta alpha) (.f64 alpha alpha)) (fma.f64 beta (-.f64 beta alpha) (.f64 alpha alpha))))
(fma.f64 (+.f64 beta alpha) beta (*.f64 (+.f64 beta alpha) alpha))
(fma.f64 (+.f64 beta alpha) alpha (*.f64 (+.f64 beta alpha) beta))
(fma.f64 beta (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) alpha))
(fma.f64 alpha (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) beta))
(exp.f64 (*.f64 (log.f64 (+.f64 beta alpha)) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 beta alpha) beta) (.f64 (+.f64 beta alpha) alpha))
(+.f64 (.f64 (+.f64 beta alpha) alpha) (.f64 (+.f64 beta alpha) beta))

eval350.0ms (4.5%)

Memory: -3.1MiB live, 480.6MiB allocated
Compiler: Compiled 66 887 to 5 609 computations (91.6% saved)

prune183.0ms (2.4%)

Memory

-0.7MiB live, 431.5MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1 594	16	1 610
Fresh	8	1	9
Picked	4	1	5
Done	0	0	0
Total	1 606	18	1 624

Accuracy

100.0%

Counts

1 624 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.4%	(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	73.1%	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
	70.9%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	3.7%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	62.0%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	48.1%	(/.f64 (fma.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (/.f64 (neg.f64 alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	26.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64))) beta)) (.f64 (.f64 alpha alpha) alpha)) (/.f64 (-.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64))) (.f64 (neg.f64 beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (*.f64 alpha alpha))))) alpha))
	31.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
	48.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)))))) #s(literal 1/2 binary64)))
▶	47.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
	46.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
	23.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
	24.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
	25.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha)) #s(literal 1 binary64)) alpha))))
	24.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha)) #s(literal 2 binary64)) alpha)) #s(literal 1 binary64)) alpha))))
▶	48.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
✓	36.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	49.8%	#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

Compiler

Compiled 600 to 337 computations (43.8% saved)

simplify249.0ms (3.2%)

Memory

-22.6MiB live, 188.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

18 636×	`lower-fma.f32`
18 624×	`lower-fma.f64`
3 764×	`lower-+.f32`
3 760×	`lower-+.f64`
3 416×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	261
0	64	261
1	127	261
2	248	261
3	595	261
4	1429	261
5	3461	259
0	8156	255

Stop Event

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

Calls

Call 1

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

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

localize197.0ms (2.5%)

Memory

-3.8MiB live, 236.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 beta alpha)
accuracy	0	(+.f64 beta alpha)
accuracy	17.174720791070147	(fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) #s(literal 1 binary64))
accuracy	17.46858809862251	(/.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)))
accuracy	0	(-.f64 #s(literal -2 binary64) alpha)
accuracy	0.0234375	(/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha)))
accuracy	16.767056634144094	#s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))
accuracy	17.00612631606255	(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0	(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
accuracy	0	(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))
accuracy	19.166648694720973	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
accuracy	22.909661756359103	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
accuracy	19.166648694720973	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
accuracy	22.723078305722627	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))
accuracy	0	(+.f64 beta alpha)
accuracy	0.01171875	(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
accuracy	0.01953125	(/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	17.174534430209476	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))

Samples

69.0ms	169×	0	valid
43.0ms	31×	2	valid
30.0ms	56×	1	valid

Compiler

Compiled 222 to 44 computations (80.2% saved)

Precisions

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

adjust: 30.0ms (25.4% of total)

ival-sub: 30.0ms (25.4% of total)

ival-mult: 24.0ms (20.3% of total)

ival-add: 18.0ms (15.2% of total)

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

exact: 1.0ms (0.8% of total)

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

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

series84.0ms (1.1%)

Memory

0.2MiB live, 74.8MiB allocated

Counts

19 → 396

Calls

Call 1

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

Outputs
#s(alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) (taylor 0 beta) (#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 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)))))))) (taylor 0 beta) (#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 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))))))))))) (taylor 0 beta) (#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt alpha (taylor 0 beta) (#s(alt (-.f64 alpha beta) (patch (-.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (+ alpha (* -1 beta)) (taylor 0 beta) (#s(alt (-.f64 alpha beta) (patch (-.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (+ alpha (* -1 beta)) (taylor 0 beta) (#s(alt (-.f64 alpha beta) (patch (-.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (+ alpha (* -1 beta)) (taylor 0 beta) (#s(alt (-.f64 alpha beta) (patch (-.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (+ 2 alpha)) (taylor 0 beta) (#s(alt (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (patch (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha)))) (taylor 0 beta) (#s(alt (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (patch (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #<representation binary64>) () ())) ())
#s(alt (- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) (taylor 0 beta) (#s(alt (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (patch (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #<representation binary64>) () ())) ())
#s(alt (- (* beta (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) (taylor 0 beta) (#s(alt (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (patch (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #<representation binary64>) () ())) ())
#s(alt (+ 2 alpha) (taylor 0 beta) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (patch (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (patch (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (patch (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (patch (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) (taylor 0 beta) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))) (taylor 0 beta) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor 0 beta) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) (taylor 0 beta) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))) (taylor 0 beta) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor 0 beta) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 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)))))))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 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))))))))))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ alpha (+ 2 alpha))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) (patch (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* beta (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4)))) alpha)) (/ (* (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) (- (pow beta 2) 4)) alpha)) (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4)))) alpha)) (* beta (- beta 2))) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) alpha)))) (+ 2 (* 2 beta))) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 alpha) (taylor -inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) (taylor -inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) (taylor -inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) (taylor -inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (/ 1 alpha) (taylor -inf alpha) (#s(alt (/.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (patch (/.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- beta (+ 2 (* 2 beta))) alpha)) 1) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (patch (/.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (+ beta (+ (* -2 (/ (* beta (- beta (+ 2 (* 2 beta)))) alpha)) (* -1 (/ (- (pow beta 2) 4) alpha)))) (+ 2 (* 2 beta))) alpha)) 1) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (patch (/.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (+ beta (* -1 (/ (- (+ (* 2 (/ (* beta (+ (* -2 (* beta (- beta (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) alpha)) (/ (* (- beta (+ 2 (* 2 beta))) (- (pow beta 2) 4)) alpha)) (+ (* -2 (* beta (- beta (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) alpha))) (+ 2 (* 2 beta))) alpha)) 1) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (patch (/.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt alpha (taylor -inf alpha) (#s(alt (+.f64 beta alpha) (patch (+.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 beta alpha) (patch (+.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 beta alpha) (patch (+.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 beta alpha) (patch (+.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 alpha) (taylor -inf alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (taylor -inf alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (taylor -inf alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (taylor -inf alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	alpha	@	inf	((+ (* (- alpha beta) (/ -1/2 (+ 2 (+ beta alpha)))) 1/2) (- alpha beta) (/ -1/2 (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 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 beta) (- -2 (+ alpha beta))) (- -2 (+ alpha beta)) (/ (+ (* (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4))) 1) 2) (+ (* (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4))) 1) (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (+ beta alpha) (- -2 alpha))
7.0ms	beta	@	0	((+ (* (- alpha beta) (/ -1/2 (+ 2 (+ beta alpha)))) 1/2) (- alpha beta) (/ -1/2 (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 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 beta) (- -2 (+ alpha beta))) (- -2 (+ alpha beta)) (/ (+ (* (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4))) 1) 2) (+ (* (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4))) 1) (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (+ beta alpha) (- -2 alpha))
2.0ms	alpha	@	-inf	((+ (* (- alpha beta) (/ -1/2 (+ 2 (+ beta alpha)))) 1/2) (- alpha beta) (/ -1/2 (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 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 beta) (- -2 (+ alpha beta))) (- -2 (+ alpha beta)) (/ (+ (* (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4))) 1) 2) (+ (* (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4))) 1) (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (+ beta alpha) (- -2 alpha))
2.0ms	alpha	@	0	((+ (* (- alpha beta) (/ -1/2 (+ 2 (+ beta alpha)))) 1/2) (- alpha beta) (/ -1/2 (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 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 beta) (- -2 (+ alpha beta))) (- -2 (+ alpha beta)) (/ (+ (* (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4))) 1) 2) (+ (* (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4))) 1) (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (+ beta alpha) (- -2 alpha))
2.0ms	beta	@	inf	((+ (* (- alpha beta) (/ -1/2 (+ 2 (+ beta alpha)))) 1/2) (- alpha beta) (/ -1/2 (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 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 beta) (- -2 (+ alpha beta))) (- -2 (+ alpha beta)) (/ (+ (* (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4))) 1) 2) (+ (* (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4))) 1) (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (+ beta alpha) (- -2 alpha))

simplify264.0ms (3.4%)

Memory

-0.1MiB live, 359.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 328×	`lower-fma.f64`
6 328×	`lower-fma.f32`
6 168×	`lower-*.f64`
6 168×	`lower-*.f32`
5 526×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1220	10333
1	3927	9606
0	8800	8930

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 380

Calls

Call 1

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

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

rewrite165.0ms (2.1%)

Memory

29.2MiB live, 338.5MiB allocated

Rules

5 362×	`lower-/.f32`
5 354×	`lower-/.f64`
2 712×	`lower-*.f64`
2 712×	`lower-*.f32`
2 376×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	223
0	64	220
1	366	200
2	3264	200
0	8690	200

Stop Event

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

Counts

19 → 539

Calls

Call 1

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

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

eval232.0ms (3%)

Memory: -28.7MiB live, 496.3MiB allocated
Compiler: Compiled 35 613 to 3 602 computations (89.9% saved)

prune137.0ms (1.8%)

Memory

26.6MiB live, 395.5MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1 154	7	1 161
Fresh	6	6	12
Picked	2	3	5
Done	0	1	1
Total	1 162	17	1 179

Accuracy

100.0%

Counts

1 179 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.1%	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
✓	73.1%	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
▶	70.9%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	49.8%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	3.7%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	49.9%	(/.f64 #s(approx (+ (* (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4))) 1) (fma.f64 (neg.f64 alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64))
	26.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64))) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 alpha alpha) alpha)) (/.f64 (.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha))))) alpha))
▶	31.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
	48.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)))))) #s(literal 1/2 binary64)))
✓	47.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
▶	46.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
▶	24.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))))
	25.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))))
▶	23.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
	24.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
✓	48.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
✓	36.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 492 to 281 computations (42.9% saved)

simplify191.0ms (2.5%)

Memory

-25.5MiB live, 167.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))))
cost-diff	128	(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha))
cost-diff	128	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha))
cost-diff	128	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
cost-diff	0	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
cost-diff	0	(+.f64 beta #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
cost-diff	0	#s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
cost-diff	0	(+.f64 beta #s(literal 2 binary64))
cost-diff	0	(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
cost-diff	0	#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
cost-diff	0	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Rules

8 792×	`lower-fma.f32`
8 788×	`lower-fma.f64`
2 188×	`lower-*.f64`
2 188×	`lower-*.f32`
1 840×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	363
0	70	363
1	133	363
2	257	353
3	663	348
4	1916	348
5	4633	348
6	5793	348
7	6598	348
8	6852	348
9	6992	348
10	7037	348
11	7925	348
0	8121	334

Stop Event

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

Calls

Call 1

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

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

localize161.0ms (2.1%)

Memory

5.1MiB live, 243.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha))
accuracy	0.08203125	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha))
accuracy	19.166648694720973	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))))
accuracy	40.948356498410824	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha)))
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
accuracy	0.0703125	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
accuracy	19.166648694720973	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
accuracy	41.186366014716086	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))
accuracy	0	(+.f64 beta #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
accuracy	44.175014888166174	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
accuracy	0	(fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
accuracy	19.166648694720973	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
accuracy	22.909661756359103	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
accuracy	23.84141416980612	#s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64))
accuracy	0	(+.f64 beta #s(literal 2 binary64))
accuracy	0.015625	(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
accuracy	17.00612631606255	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	34.30048041942451	#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))

Samples

54.0ms	171×	0	valid
47.0ms	54×	1	valid
21.0ms	31×	2	valid

Compiler

Compiled 239 to 46 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-div: 34.0ms (34.2% of total)

adjust: 34.0ms (34.2% of total)

ival-add: 12.0ms (12.1% of total)

ival-sub: 11.0ms (11.1% of total)

ival-mult: 7.0ms (7% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series30.0ms (0.4%)

Memory

22.9MiB live, 60.8MiB allocated

Counts

20 → 324

Calls

Call 1

Inputs
#s(alt (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (patch #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (patch (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 beta #s(literal 2 binary64)) (patch (+.f64 beta #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) (patch #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) (patch #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (patch (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #<representation binary64>) () ())
#s(alt (+.f64 beta #s(literal 1 binary64)) (patch (+.f64 beta #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) #<representation binary64>) () ())
#s(alt #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) (patch #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha)) (patch (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) (patch (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) (patch (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha)))) #<representation binary64>) () ())
#s(alt #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))) (patch #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))) #<representation binary64>) () ())

Outputs
#s(alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) (taylor 0 beta) (#s(alt (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 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)))))))) (taylor 0 beta) (#s(alt (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 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))))))))))) (taylor 0 beta) (#s(alt (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ alpha (+ 2 alpha))) (taylor 0 beta) (#s(alt #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (patch #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (taylor 0 beta) (#s(alt #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (patch #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))) (taylor 0 beta) (#s(alt #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (patch #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))) (taylor 0 beta) (#s(alt #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (patch #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 beta) (taylor 0 beta) (#s(alt (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (patch (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1/2 (* -1/4 beta))) (taylor 0 beta) (#s(alt (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (patch (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))) (taylor 0 beta) (#s(alt (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (patch (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))) (taylor 0 beta) (#s(alt (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (patch (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 beta) (#s(alt (+.f64 beta #s(literal 2 binary64)) (patch (+.f64 beta #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) (taylor -inf alpha) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha)))) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf alpha) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha)))) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf alpha) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 alpha) (taylor -inf alpha) (#s(alt #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))) (patch #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) (taylor -inf alpha) (#s(alt #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))) (patch #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) (taylor -inf alpha) (#s(alt #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))) (patch #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	beta	@	-inf	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ beta (+ beta 2)) (+ beta 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ beta 1) alpha) (+ beta 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (/ (- (/ (- (/ (- (/ 8 alpha) 4) (neg alpha)) 2) (neg alpha)) 1) (neg alpha)) (/ (- (/ (- (/ 8 alpha) 4) (neg alpha)) 2) (neg alpha)) (/ (- (/ 8 alpha) 4) (neg alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2))
2.0ms	alpha	@	-inf	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ beta (+ beta 2)) (+ beta 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ beta 1) alpha) (+ beta 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (/ (- (/ (- (/ (- (/ 8 alpha) 4) (neg alpha)) 2) (neg alpha)) 1) (neg alpha)) (/ (- (/ (- (/ 8 alpha) 4) (neg alpha)) 2) (neg alpha)) (/ (- (/ 8 alpha) 4) (neg alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2))
2.0ms	alpha	@	inf	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ beta (+ beta 2)) (+ beta 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ beta 1) alpha) (+ beta 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (/ (- (/ (- (/ (- (/ 8 alpha) 4) (neg alpha)) 2) (neg alpha)) 1) (neg alpha)) (/ (- (/ (- (/ 8 alpha) 4) (neg alpha)) 2) (neg alpha)) (/ (- (/ 8 alpha) 4) (neg alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2))
2.0ms	alpha	@	0	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ beta (+ beta 2)) (+ beta 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ beta 1) alpha) (+ beta 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (/ (- (/ (- (/ (- (/ 8 alpha) 4) (neg alpha)) 2) (neg alpha)) 1) (neg alpha)) (/ (- (/ (- (/ 8 alpha) 4) (neg alpha)) 2) (neg alpha)) (/ (- (/ 8 alpha) 4) (neg alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2))
1.0ms	beta	@	0	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ beta (+ beta 2)) (+ beta 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ beta 1) alpha) (+ beta 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (/ (- (/ (- (/ (- (/ 8 alpha) 4) (neg alpha)) 2) (neg alpha)) 1) (neg alpha)) (/ (- (/ (- (/ 8 alpha) 4) (neg alpha)) 2) (neg alpha)) (/ (- (/ 8 alpha) 4) (neg alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2))

simplify208.0ms (2.7%)

Memory

-27.3MiB live, 211.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 668×	`lower-fma.f64`
8 668×	`lower-fma.f32`
4 592×	`lower-*.f64`
4 592×	`lower-*.f32`
3 440×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	555	5674
1	1709	5247
2	5143	5037
0	8216	4702

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 320

Calls

Call 1

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

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

rewrite189.0ms (2.4%)

Memory

0.5MiB live, 361.4MiB allocated

Rules

6 190×	`lower-/.f32`
6 174×	`lower-/.f64`
2 888×	`lower-*.f64`
2 888×	`lower-*.f32`
2 260×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	308
0	70	308
1	375	308
2	3318	308
0	9290	304

Stop Event

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

Counts

20 → 435

Calls

Call 1

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

Outputs
(*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/4 binary64)) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))))
(.f64 (fma.f64 (.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/4 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/4 binary64)) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/4 binary64)))) (fma.f64 (.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/4 binary64)) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/4 binary64)) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/4 binary64)) (*.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/4 binary64)) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/4 binary64)) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/4 binary64)))) (fma.f64 (.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/4 binary64)) (*.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/4 binary64)) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/4 binary64)))) (fma.f64 (.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/2 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 (.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))))
(-.f64 (/.f64 (.f64 (.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64))
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(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 8 binary64) alpha) (neg.f64 alpha)) (.f64 (neg.f64 alpha) #s(literal 4 binary64)))) (neg.f64 (*.f64 alpha alpha)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) #s(literal 1 binary64))) alpha)
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal 8 binary64) alpha)) #s(literal -4 binary64)) alpha)
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 alpha alpha)) #s(literal 16 binary64)) (/.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 512 binary64) (.f64 (.f64 alpha alpha) alpha)) #s(literal 64 binary64)) (/.f64 #s(literal -1 binary64) alpha)) (+.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 alpha alpha)) #s(literal 16 binary64)) (/.f64 #s(literal 32 binary64) alpha)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -8 binary64) (.f64 alpha alpha))) (.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 4 binary64) alpha))) (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha)))
(/.f64 (-.f64 (/.f64 #s(literal -512 binary64) (.f64 (.f64 (.f64 alpha alpha) alpha) (.f64 (.f64 alpha alpha) alpha))) (/.f64 #s(literal -64 binary64) (.f64 (.f64 alpha alpha) alpha))) (fma.f64 (/.f64 #s(literal -8 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -8 binary64) (.f64 alpha alpha)) (fma.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 4 binary64) alpha) (.f64 (/.f64 #s(literal -8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha)))))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) #s(literal -1 binary64)) alpha)
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 alpha alpha)) #s(literal 16 binary64))) (neg.f64 (.f64 (neg.f64 alpha) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 512 binary64) (.f64 (.f64 alpha alpha) alpha)) #s(literal 64 binary64))) (neg.f64 (.f64 (neg.f64 alpha) (+.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 alpha alpha)) #s(literal 16 binary64)) (/.f64 #s(literal 32 binary64) alpha)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)))) (neg.f64 alpha))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 alpha))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 alpha alpha)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) (neg.f64 alpha)))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 512 binary64) (.f64 (.f64 alpha alpha) alpha)) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 alpha alpha)) #s(literal 16 binary64)) (/.f64 #s(literal 32 binary64) alpha)) (neg.f64 alpha)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 8 binary64) alpha) (neg.f64 alpha)) (.f64 (neg.f64 alpha) #s(literal 4 binary64))) (*.f64 alpha alpha))
(/.f64 (-.f64 (/.f64 #s(literal 64 binary64) (.f64 alpha alpha)) #s(literal 16 binary64)) (.f64 (neg.f64 alpha) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (neg.f64 alpha) (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 alpha) (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 512 binary64) (.f64 (.f64 alpha alpha) alpha)) #s(literal 64 binary64)) (.f64 (neg.f64 alpha) (+.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 alpha alpha)) #s(literal 16 binary64)) (/.f64 #s(literal 32 binary64) alpha))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64))) alpha)
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (neg.f64 alpha) (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 alpha) (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64))))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha))
(fma.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) alpha) alpha) (neg.f64 (/.f64 #s(literal -4 binary64) alpha)))
(fma.f64 (/.f64 #s(literal 8 binary64) alpha) (/.f64 #s(literal -1 binary64) alpha) (neg.f64 (/.f64 #s(literal -4 binary64) alpha)))
(fma.f64 #s(literal 8 binary64) (/.f64 (/.f64 #s(literal -1 binary64) alpha) alpha) (neg.f64 (/.f64 #s(literal -4 binary64) alpha)))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal -8 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -8 binary64) (.f64 alpha alpha))) (+.f64 (/.f64 #s(literal -8 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha))) (/.f64 (.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 4 binary64) alpha)) (+.f64 (/.f64 #s(literal -8 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha))))
(-.f64 (/.f64 (/.f64 #s(literal -512 binary64) (.f64 (.f64 (.f64 alpha alpha) alpha) (.f64 (.f64 alpha alpha) alpha))) (fma.f64 (/.f64 #s(literal -8 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -8 binary64) (.f64 alpha alpha)) (fma.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 4 binary64) alpha) (.f64 (/.f64 #s(literal -8 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha))))) (/.f64 (/.f64 #s(literal -64 binary64) (.f64 (.f64 alpha alpha) alpha)) (fma.f64 (/.f64 #s(literal -8 binary64) (.f64 alpha alpha)) (/.f64 #s(literal -8 binary64) (.f64 alpha alpha)) (fma.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 4 binary64) alpha) (.f64 (/.f64 #s(literal -8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha))))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 8 binary64) alpha) (neg.f64 alpha)) (.f64 alpha alpha)) (/.f64 (.f64 (neg.f64 alpha) #s(literal 4 binary64)) (.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 #s(literal 64 binary64) (.f64 alpha alpha)) (.f64 (neg.f64 alpha) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)))) (/.f64 #s(literal 16 binary64) (*.f64 (neg.f64 alpha) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)))))
(-.f64 (/.f64 (/.f64 #s(literal 512 binary64) (.f64 (.f64 alpha alpha) alpha)) (.f64 (neg.f64 alpha) (+.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 alpha alpha)) #s(literal 16 binary64)) (/.f64 #s(literal 32 binary64) alpha)))) (/.f64 #s(literal 64 binary64) (.f64 (neg.f64 alpha) (+.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 alpha alpha)) #s(literal 16 binary64)) (/.f64 #s(literal 32 binary64) alpha)))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha))) (neg.f64 alpha)) (/.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha))) (neg.f64 alpha)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 512 binary64) (.f64 (.f64 alpha alpha) alpha)) (+.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 alpha alpha)) #s(literal 16 binary64)) (/.f64 #s(literal 32 binary64) alpha))) (neg.f64 alpha)) (/.f64 (/.f64 #s(literal 64 binary64) (+.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 alpha alpha)) #s(literal 16 binary64)) (/.f64 #s(literal 32 binary64) alpha))) (neg.f64 alpha)))
(-.f64 (/.f64 #s(literal 0 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha))
(-.f64 (/.f64 #s(literal -8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 alpha) (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -8 binary64) (*.f64 alpha alpha)) (neg.f64 (/.f64 #s(literal -4 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))))
#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha)))

eval125.0ms (1.6%)

Memory: 21.7MiB live, 291.9MiB allocated
Compiler: Compiled 17 817 to 1 883 computations (89.4% saved)

prune96.0ms (1.2%)

Memory

17.4MiB live, 258.8MiB allocated

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	744	11	755
Fresh	3	5	8
Picked	1	4	5
Done	0	4	4
Total	748	24	772

Accuracy

100.0%

Counts

772 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.1%	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
✓	73.1%	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
✓	70.9%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	49.8%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	43.6%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	44.8%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 beta #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	3.7%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	49.9%	(/.f64 #s(approx (+ (* (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4))) 1) (fma.f64 (neg.f64 alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64))
	25.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (.f64 beta beta) beta #s(literal 1 binary64)) (.f64 alpha (fma.f64 beta beta (-.f64 #s(literal 1 binary64) beta)))))
✓	31.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
	24.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
	48.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)))))) #s(literal 1/2 binary64)))
	30.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))
	9.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
✓	47.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
✓	46.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
	13.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 8 alpha) 4) (neg alpha)) 2) (neg alpha)) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal -4 binary64)) alpha #s(literal 8 binary64)) (.f64 (.f64 alpha alpha) alpha))) #s(literal 1 binary64)) (neg.f64 alpha))))
	13.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))
✓	23.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
	25.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha)))
	23.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))))
	24.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (*.f64 alpha alpha)) (/.f64 #s(literal -1 binary64) alpha))))
✓	48.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
✓	36.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 1 173 to 414 computations (64.7% saved)

regimes67.0ms (0.9%)

Memory

-27.3MiB live, 130.0MiB allocated

Counts

49 → 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #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 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 beta #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))
#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)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.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)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
(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 (-.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) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (.f64 beta beta) beta #s(literal 1 binary64)) (.f64 alpha (fma.f64 beta beta (-.f64 #s(literal 1 binary64) beta)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha)))
(/.f64 #s(approx (+ (* (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4))) 1) (fma.f64 (neg.f64 alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (/.f64 (neg.f64 alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha)) #s(literal 1 binary64)) alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 8 alpha) 4) (neg alpha)) 2) (neg alpha)) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal -4 binary64)) alpha #s(literal 8 binary64)) (.f64 (.f64 alpha alpha) alpha))) #s(literal 1 binary64)) (neg.f64 alpha))))
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha)) #s(literal 2 binary64)) alpha)) #s(literal 1 binary64)) alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))))
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) (neg.f64 alpha)) #s(literal 2 binary64)) (*.f64 alpha alpha)) (/.f64 #s(literal -1 binary64) alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)))))) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (-.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 alpha alpha) alpha)) (/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64))) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 alpha alpha) alpha)) (/.f64 (.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha))))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64))) beta)) (.f64 (.f64 alpha alpha) alpha)) (/.f64 (-.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64))) (.f64 (neg.f64 beta) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (*.f64 alpha alpha))))) alpha))
(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 alpha alpha) alpha))) (.f64 beta (fma.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) (.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 beta #s(literal -2 binary64)) (.f64 alpha alpha)))))) alpha)) #s(literal 2 binary64))

Outputs

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

5 calls:

14.0ms	beta
14.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
13.0ms	alpha
12.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
11.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
95.1%	2	`alpha`
73.3%	1	`beta`
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes25.0ms (0.3%)

Memory

15.9MiB live, 54.6MiB allocated

Counts

33 → 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #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 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 beta #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))
#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)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.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)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
(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 (-.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) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (.f64 beta beta) beta #s(literal 1 binary64)) (.f64 alpha (fma.f64 beta beta (-.f64 #s(literal 1 binary64) beta)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha)))
(/.f64 #s(approx (+ (* (- beta alpha) (/ (- (+ beta alpha) 2) (+ (* (+ beta alpha) (+ beta alpha)) -4))) 1) (fma.f64 (neg.f64 alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) (+ alpha beta)) -4)) (/.f64 (neg.f64 alpha) (fma.f64 alpha alpha #s(literal -4 binary64)))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha)) #s(literal 1 binary64)) alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha))))

Outputs

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

8.0ms

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

7.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory

2.1MiB live, 41.3MiB allocated

Counts

23 → 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #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 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 beta #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))
#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)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.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)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))

Outputs

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

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

Calls

3 calls:

6.0ms

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

6.0ms

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

6.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes21.0ms (0.3%)

Memory

-12.6MiB live, 41.3MiB 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #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 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 beta #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))
#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)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.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)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 beta #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:

9.0ms

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

6.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
97.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

-8.6MiB live, 30.7MiB allocated

Counts

15 → 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #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 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 beta #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))
#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 beta #s(literal 1 binary64)) 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:

5.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
98.3%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.3%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.3%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes12.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #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 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 beta #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))

Outputs

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

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

4.0ms

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

4.0ms

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

4.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

-5.8MiB live, 33.1MiB 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #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 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 beta #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))

Outputs

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

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

4 calls:

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

Results

Accuracy	Segments	Branch
68.4%	2	`alpha`
90.6%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
90.6%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
90.6%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-17.2MiB live, 21.8MiB allocated

Counts

9 → 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #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 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 beta #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

5 → 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64)) alpha #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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
69.8%	2	`beta`
69.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
69.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
69.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-23.2MiB live, 18.6MiB 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:

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

Results

Accuracy	Segments	Branch
36.4%	1	`alpha`
36.4%	1	`beta`
36.4%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
36.4%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
36.4%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999836698	-0.9999922676774726

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999836698	-0.9999922676774726

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999836698	-0.9999922676774726

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.7600879159575066	-0.48404166743173993

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.516523398730634e-13	0.9999999999999927
0.0ms	-0.9999999999836698	-0.9999922676774726

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.516523398730634e-13	0.9999999999999927
0.0ms	-0.7600879159575066	-0.48404166743173993

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.516523398730634e-13	0.9999999999999927
0.0ms	-0.7600879159575066	-0.48404166743173993

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.516523398730634e-13	0.9999999999999927
0.0ms	-0.7600879159575066	-0.48404166743173993

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.516523398730634e-13	0.9999999999999927

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify9.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative_binary64`
18×	`sub-neg_binary64`
10×	`*-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	622
1	103	622
2	119	622
3	129	622
4	133	622

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503577109372359/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha)) #s(literal 1/2 binary64) (+.f64 beta #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 -4503577109372359/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #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 -4503577109372359/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #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 beta #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 -4503577109372359/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4951760157141521/9903520314283042199192993792 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 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 -4503577109372359/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha)) #s(literal 1/2 binary64) (+.f64 beta #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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4503577109372359/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha) (-.f64 #s(literal -2 binary64) beta)) #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 -4503577109372359/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4503577109372359/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.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 -4503577109372359/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4503577109372359/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503577109372359/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4951760157141521/9903520314283042199192993792 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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4503577109372359/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4951760157141521/9903520314283042199192993792 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 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 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))

soundness808.0ms (10.4%)

Memory

-16.0MiB live, 572.9MiB allocated

Rules

9 688×	`lower-fma.f64`
9 688×	`lower-fma.f32`
5 830×	`lower-fma.f64`
5 830×	`lower-fma.f32`
5 376×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	268
0	67	224
1	362	194
2	3627	194
0	8329	192
0	10	44
0	16	44
1	91	44
2	748	44
0	9057	43
0	433	2500
1	1394	2354
2	4567	2155
0	8646	2014
0	2002	17517
1	6654	16914
0	8181	15891

Stop Event

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

Compiler

Compiled 537 to 228 computations (57.5% saved)

preprocess132.0ms (1.7%)

Memory: 24.9MiB live, 102.3MiB allocated
Compiler: Compiled 650 to 128 computations (80.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.4s (17.7%)

explain198.0ms (2.6%)

preprocess327.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify134.0ms (1.7%)

localize32.0ms (0.4%)

series28.0ms (0.4%)

simplify189.0ms (2.4%)

rewrite198.0ms (2.6%)

eval77.0ms (1%)

prune84.0ms (1.1%)

simplify160.0ms (2.1%)

localize232.0ms (3%)

series129.0ms (1.7%)

simplify301.0ms (3.9%)

rewrite290.0ms (3.7%)

eval350.0ms (4.5%)

prune183.0ms (2.4%)

simplify249.0ms (3.2%)

localize197.0ms (2.5%)

series84.0ms (1.1%)

simplify264.0ms (3.4%)

rewrite165.0ms (2.1%)

eval232.0ms (3%)

prune137.0ms (1.8%)

simplify191.0ms (2.5%)

localize161.0ms (2.1%)

series30.0ms (0.4%)

simplify208.0ms (2.7%)

rewrite189.0ms (2.4%)

eval125.0ms (1.6%)

prune96.0ms (1.2%)

regimes67.0ms (0.9%)

regimes25.0ms (0.3%)

regimes19.0ms (0.2%)

regimes21.0ms (0.3%)

regimes14.0ms (0.2%)

regimes12.0ms (0.2%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness808.0ms (10.4%)

preprocess132.0ms (1.7%)

end0.0ms (0%)

Profiling