Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory

-38.9MiB live, 4.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample1.4s (16.2%)

Memory

45.8MiB live, 1 971.8MiB allocated

Samples

487.0ms	6 046×	0	valid
246.0ms	1 490×	1	valid
195.0ms	720×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 651.0ms

ival-div: 203.0ms (31.2% of total)

ival-add: 172.0ms (26.4% of total)

ival-sub: 101.0ms (15.5% of total)

adjust: 81.0ms (12.4% of total)

ival->: 66.0ms (10.1% of total)

exact: 13.0ms (2% of total)

ival-and: 11.0ms (1.7% of total)

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

Bogosity

explain128.0ms (1.5%)

Memory

13.1MiB live, 211.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
73	-	-	`(+.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	73	1

Confusion

	Predicted +	Predicted -
+	73	0
-	0	183

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	0
-	0	1	182

Precision?

0.9864864864864865

Recall?

1.0

Freqs

test

number	freq
0	183
1	73

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms	368×	0	valid
19.0ms	42×	2	valid
14.0ms	102×	1	valid

Compiler

Compiled 113 to 34 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-add: 17.0ms (45.4% of total)

ival-div: 8.0ms (21.4% of total)

adjust: 7.0ms (18.7% of total)

ival-sub: 3.0ms (8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess357.0ms (4.2%)

Memory

-24.2MiB live, 103.3MiB 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 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.4%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify110.0ms (1.3%)

Memory

28.1MiB live, 63.9MiB 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)

localize88.0ms (1%)

Memory

-16.7MiB live, 65.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 alpha beta)
accuracy	0.00390625	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0.03125	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	16.98897904647718	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

63.0ms	184×	0	valid
7.0ms	51×	1	valid
4.0ms	21×	2	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-add: 28.0ms (67.9% of total)

ival-div: 8.0ms (19.4% of total)

adjust: 2.0ms (4.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

-10.2MiB live, 24.7MiB 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 (- (+ (/ 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))))) (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 (* 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>) () ())) ())
#s(alt (* alpha (- (/ beta alpha) 1)) (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 (* 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
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))
2.0ms	beta	@	inf	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta))
2.0ms	alpha	@	inf	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta))
2.0ms	beta	@	0	((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 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))

simplify204.0ms (2.4%)

Memory

32.1MiB live, 297.5MiB 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 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) beta (.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(- 1 (/ alpha (+ 2 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))
(* -1 (/ alpha (+ 2 alpha)))
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(* -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 #s(literal 1/2 binary64) beta) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(-.f64 (.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha)) (-.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(-.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 beta #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 3 binary64))))
1
#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 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (neg.f64 beta))) #s(literal 1 binary64))
beta
(* 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 (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) (neg.f64 beta))) beta))
2
#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 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) #s(literal 2 binary64))
1
#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 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) #s(literal 1 binary64))
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 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) alpha (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ 1 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(-.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) 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 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
(/ beta (+ 2 beta))
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) 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 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 beta #s(literal -2 binary64))))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64))))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ 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 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #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 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #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 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) beta)) (/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64)))) (+.f64 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 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64)) (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 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) beta (.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha))))) alpha)
-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (/.f64 beta alpha) (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1 binary64)))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(-.f64 (fma.f64 (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha))
(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (/ beta alpha) 1))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
(* alpha (- (/ 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 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha)
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta))) alpha)
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) beta)) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha) beta (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) alpha)) alpha) (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) beta)))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) beta)) alpha) (fma.f64 #s(literal -2 binary64) 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)

rewrite255.0ms (3%)

Memory

18.0MiB live, 334.4MiB 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 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal -1/2 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64))))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal -1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #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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(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha)))) #s(literal 2 binary64))
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 alpha beta) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) alpha (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) alpha (+.f64 #s(literal 2 binary64) beta))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)
(+.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 alpha beta) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)))
(.f64 (/.f64 (+.f64 alpha beta) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(.f64 (/.f64 (+.f64 alpha beta) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 (-.f64 beta alpha) (pow.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64))))
(.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))))))
(.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (fma.f64 alpha alpha (.f64 (neg.f64 beta) alpha)))))
(.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 alpha beta))
(pow.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) #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))))
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (neg.f64 alpha) #s(literal 3 binary64))) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 beta beta) (-.f64 alpha beta)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (fma.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))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (.f64 (-.f64 alpha beta) (.f64 beta beta))) (pow.f64 (-.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 beta alpha))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha))))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha))) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (+.f64 alpha beta)))
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) beta)
(fma.f64 (.f64 alpha alpha) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 beta beta) (-.f64 alpha beta))))
(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)

eval80.0ms (0.9%)

Memory: 5.0MiB live, 232.6MiB allocated
Compiler: Compiled 16 188 to 2 370 computations (85.4% saved)

prune145.0ms (1.7%)

Memory

-51.4MiB live, 213.8MiB 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

99.9%

Counts

590 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.4%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	73.1%	(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
	42.3%	(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	58.0%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	60.6%	(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	46.0%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	72.9%	(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	30.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	71.4%	#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)))
	28.6%	#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 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) beta))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
	29.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
	30.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
▶	47.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
▶	37.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 598 to 332 computations (44.5% saved)

simplify232.0ms (2.7%)

Memory

58.1MiB live, 349.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))
cost-diff	0	(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff	0	(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	1024	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
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

19 434×	`lower-fma.f32`
19 430×	`lower-fma.f64`
3 806×	`lower-+.f32`
3 798×	`lower-+.f64`
3 182×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	275
0	64	279
1	114	279
2	220	279
3	555	279
4	1686	255
5	4694	253
0	8362	251

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

localize113.0ms (1.3%)

Memory

8.4MiB live, 284.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 alpha beta)
accuracy	0.0078125	(pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	17.24041740539146	(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy	19.01995685899374	(/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))
accuracy	0.00390625	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0.03125	(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	5.672668838795076	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
accuracy	16.98897904647718	(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy	0	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
accuracy	0.015625	(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
accuracy	20.601828810863804	#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	21.0487955787087	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
accuracy	39.585706045018604	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0	(+.f64 alpha beta)
accuracy	0.00390625	(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
accuracy	0.03125	(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
accuracy	16.987173386612433	(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

35.0ms	164×	0	valid
26.0ms	55×	1	valid
25.0ms	35×	2	valid
2.0ms	2×	5	exit

Compiler

Compiled 236 to 34 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 15.0ms (25% of total)

adjust: 11.0ms (18.3% of total)

ival-sub: 11.0ms (18.3% of total)

ival-mult: 10.0ms (16.7% of total)

ival-add: 9.0ms (15% of total)

ival-pow2: 3.0ms (5% of total)

exact: 1.0ms (1.7% of total)

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

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

series105.0ms (1.2%)

Memory

-31.0MiB live, 124.2MiB allocated

Counts

20 → 444

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

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

Calls

6 calls:

Time	Variable		Point	Expression
41.0ms	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)) (* (- 1 (/ alpha beta)) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (/ (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2) (pow (+ alpha beta) 2))
26.0ms	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)) (* (- 1 (/ alpha beta)) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (/ (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2) (pow (+ alpha beta) 2))
7.0ms	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)) (* (- 1 (/ alpha beta)) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (/ (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2) (pow (+ alpha beta) 2))
7.0ms	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)) (* (- 1 (/ alpha beta)) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (/ (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2) (pow (+ alpha beta) 2))
3.0ms	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)) (* (- 1 (/ alpha beta)) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (/ (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2) (pow (+ alpha beta) 2))

simplify329.0ms (3.8%)

Memory

-3.0MiB live, 293.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 274×	`lower-fma.f64`
6 274×	`lower-fma.f32`
5 288×	`lower-*.f64`
5 288×	`lower-*.f32`
5 018×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1322	11304
1	4291	10455
0	8407	9782

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 425

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

rewrite243.0ms (2.8%)

Memory

18.0MiB live, 306.1MiB allocated

Rules

6 290×	`lower-/.f32`
6 276×	`lower-/.f64`
3 556×	`lower-*.f32`
3 552×	`lower-*.f64`
3 426×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	217
0	64	217
1	311	203
2	2731	203
0	9017	203

Stop Event

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

Counts

20 → 815

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

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

eval251.0ms (2.9%)

Memory: 2.6MiB live, 418.8MiB allocated
Compiler: Compiled 42 186 to 5 351 computations (87.3% saved)

prune289.0ms (3.4%)

Memory

-1.0MiB live, 425.5MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 412	14	1 426
Fresh	3	6	9
Picked	3	2	5
Done	0	0	0
Total	1 418	22	1 440

Accuracy

99.9%

Counts

1 440 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.4%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	33.3%	(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	50.0%	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
	72.9%	(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #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))
▶	71.4%	(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))
	47.5%	(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))
	73.0%	(/.f64 (fma.f64 (pow.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal -1 binary64)) #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	58.0%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	60.6%	(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	46.0%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) #s(literal 2 binary64))
	30.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	28.6%	#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 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) beta))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
▶	29.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
	30.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
	45.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
▶	46.6%	#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))))
	45.7%	#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))))
	23.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
▶	47.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
✓	37.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 708 to 451 computations (36.3% saved)

simplify161.0ms (1.9%)

Memory

14.4MiB live, 281.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64)))
cost-diff	0	(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
cost-diff	576	(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64)))
cost-diff	0	(+.f64 beta #s(literal 2 binary64))
cost-diff	0	(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
cost-diff	0	#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))
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

13 360×	`lower-fma.f32`
13 348×	`lower-fma.f64`
4 140×	`lower-*.f32`
4 138×	`lower-*.f64`
1 672×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	272
0	67	272
1	126	272
2	225	272
3	500	272
4	1207	266
5	3071	257
6	5614	257
0	8359	253

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

localize236.0ms (2.8%)

Memory

2.3MiB live, 309.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)
accuracy	0.0546875	(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64)))
accuracy	1.0374700924169828	(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)
accuracy	45.419354442911896	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
accuracy	0	(+.f64 beta #s(literal 2 binary64))
accuracy	0.01953125	(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
accuracy	16.987173386612433	(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	31.206294616070135	#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 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	20.601828810863804	#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	22.02030728323778	#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	20.601828810863804	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
accuracy	22.120864930821334	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))
accuracy	0	(+.f64 beta alpha)
accuracy	0.00390625	(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
accuracy	0.02734375	(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
accuracy	17.22057825498678	(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

112.0ms	35×	2	valid
40.0ms	166×	0	valid
39.0ms	55×	1	valid

Compiler

Compiled 216 to 45 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-div: 78.0ms (57.9% of total)

ival-add: 18.0ms (13.4% of total)

adjust: 13.0ms (9.6% of total)

ival-mult: 13.0ms (9.6% of total)

ival-sub: 11.0ms (8.2% of total)

exact: 1.0ms (0.7% of total)

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

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

series74.0ms (0.9%)

Memory

-27.1MiB live, 91.1MiB allocated

Counts

20 → 408

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

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	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))) (/ beta (+ beta 2)) (+ beta 2) (+ (* (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) 1/2) (+ beta 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) 1/2) (+ beta 1)) alpha) (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) (+ beta alpha) (/ (+ (* -2 beta) -2) alpha))
7.0ms	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))) (/ beta (+ beta 2)) (+ beta 2) (+ (* (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) 1/2) (+ beta 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) 1/2) (+ beta 1)) alpha) (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) (+ beta alpha) (/ (+ (* -2 beta) -2) alpha))
5.0ms	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))) (/ beta (+ beta 2)) (+ beta 2) (+ (* (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) 1/2) (+ beta 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) 1/2) (+ beta 1)) alpha) (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) (+ beta alpha) (/ (+ (* -2 beta) -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))) (/ beta (+ beta 2)) (+ beta 2) (+ (* (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) 1/2) (+ beta 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) 1/2) (+ beta 1)) alpha) (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) (+ beta alpha) (/ (+ (* -2 beta) -2) alpha))
2.0ms	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))) (/ beta (+ beta 2)) (+ beta 2) (+ (* (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) 1/2) (+ beta 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) 1/2) (+ beta 1)) alpha) (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) (+ beta alpha) (/ (+ (* -2 beta) -2) alpha))

simplify218.0ms (2.5%)

Memory

27.0MiB live, 351.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 534×	`lower-fma.f64`
7 534×	`lower-fma.f32`
5 048×	`lower-*.f64`
5 048×	`lower-*.f32`
4 200×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	797	7224
1	2497	6786
2	7459	6762
0	8229	6326

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 397

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

rewrite198.0ms (2.3%)

Memory

-4.5MiB live, 301.5MiB allocated

Rules

6 090×	`lower-*.f32`
6 088×	`lower-*.f64`
4 248×	`lower-/.f32`
4 240×	`lower-/.f64`
2 452×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	245
0	67	245
1	372	245
2	3199	245
0	9225	245

Stop Event

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

Counts

20 → 369

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

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

eval107.0ms (1.2%)

Memory: 10.6MiB live, 238.2MiB allocated
Compiler: Compiled 17 030 to 2 499 computations (85.3% saved)

prune147.0ms (1.7%)

Memory

-23.4MiB live, 237.6MiB allocated

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	759	7	766
Fresh	4	11	15
Picked	1	4	5
Done	0	2	2
Total	764	24	788

Accuracy

99.9%

Counts

788 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.4%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	50.0%	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
✓	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))
	44.6%	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
▶	33.3%	(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #s(literal 1/2 binary64))
✓	71.4%	(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))
	47.5%	(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))
	42.3%	(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))
	43.6%	(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))
▶	73.0%	(fma.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
▶	58.0%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	60.6%	(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	46.0%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) #s(literal 2 binary64))
	30.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	28.6%	#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 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) beta))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
▶	30.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
	16.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) 1/2) (+ beta 1)) alpha) (/.f64 (fma.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) (*.f64 alpha alpha))))
	45.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
✓	46.6%	#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))))
▶	45.7%	#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))))
	23.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
✓	47.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
✓	37.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 699 to 444 computations (36.5% saved)

simplify174.0ms (2%)

Memory

13.7MiB live, 282.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 beta alpha) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 4 binary64)))
cost-diff	0	(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #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) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	128	(-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 4 binary64))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) beta)
cost-diff	0	#s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta))
cost-diff	0	(-.f64 alpha beta)
cost-diff	0	(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #s(literal 1/2 binary64))
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 (/.f64 alpha beta) #s(literal 1 binary64))
cost-diff	0	#s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))
cost-diff	0	(fma.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
cost-diff	1024	(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)

Rules

14 510×	`lower-fma.f32`
14 502×	`lower-fma.f64`
4 198×	`lower--.f32`
4 186×	`lower--.f64`
4 070×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	297
0	78	301
1	138	301
2	250	301
3	572	301
4	1460	285
5	4035	285
0	8092	275

Stop Event

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

Calls

Call 1

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

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

localize201.0ms (2.3%)

Memory

-4.7MiB live, 149.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 alpha beta)
accuracy	0.00390625	(*.f64 (+.f64 beta alpha) (+.f64 beta alpha))
accuracy	17.24041740539146	(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy	19.01995685899374	(/.f64 (-.f64 beta alpha) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 4 binary64)))
accuracy	0	(/.f64 #s(literal -1/2 binary64) beta)
accuracy	0	(-.f64 alpha beta)
accuracy	17.22057825498678	(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #s(literal 1/2 binary64))
accuracy	44.05369325904813	#s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta))
accuracy	0	(+.f64 beta #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
accuracy	44.09835610899388	#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	20.601828810863804	#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	22.02030728323778	#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	23.08116009700102	#s(approx (+ (* 1/8 alpha) -1/4) #s(literal -1/4 binary64))
accuracy	0.00390625	(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
accuracy	0.02734375	(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
accuracy	5.672668838795076	(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
accuracy	17.22057825498678	(fma.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))

Samples

73.0ms	164×	0	valid
52.0ms	35×	2	valid
29.0ms	55×	1	valid
2.0ms	2×	5	exit

Compiler

Compiled 238 to 45 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-mult: 47.0ms (35.9% of total)

ival-add: 41.0ms (31.4% of total)

ival-div: 19.0ms (14.5% of total)

adjust: 13.0ms (9.9% of total)

ival-sub: 11.0ms (8.4% of total)

exact: 1.0ms (0.8% of total)

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

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

series60.0ms (0.7%)

Memory

7.6MiB live, 64.2MiB allocated

Counts

23 → 492

Calls

Call 1

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

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

6 calls:

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

simplify427.0ms (5%)

Memory

23.0MiB live, 246.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 260×	`lower-fma.f64`
6 260×	`lower-fma.f32`
6 052×	`lower-*.f64`
6 052×	`lower-*.f32`
5 334×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1179	10734
1	3768	10034
0	8437	9332

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 475

Calls

Call 1

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

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

rewrite285.0ms (3.3%)

Memory

4.2MiB live, 200.1MiB allocated

Rules

5 376×	`lower-/.f32`
5 364×	`lower-/.f64`
2 810×	`lower-*.f32`
2 806×	`lower-*.f64`
2 542×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	260
0	78	250
1	376	236
2	3201	236
0	8637	232

Stop Event

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

Counts

23 → 604

Calls

Call 1

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

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

eval309.0ms (3.6%)

Memory: -26.7MiB live, 302.9MiB allocated
Compiler: Compiled 29 523 to 3 843 computations (87% saved)

prune179.0ms (2.1%)

Memory

-4.4MiB live, 239.8MiB allocated

Pruning

26 alts after pruning (16 fresh and 10 done)

	Pruned	Kept	Total
New	1 075	4	1 079
Fresh	1	12	13
Picked	1	4	5
Done	0	6	6
Total	1 077	26	1 103

Accuracy

99.9%

Counts

1 103 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.4%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	50.0%	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
✓	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))
	44.6%	(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
✓	33.3%	(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #s(literal 1/2 binary64))
✓	71.4%	(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))
	47.5%	(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))
	42.3%	(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))
	43.6%	(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))
✓	73.0%	(fma.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
	58.0%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	60.6%	(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	46.0%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) #s(literal 2 binary64))
	30.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	28.6%	#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 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) beta))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
	27.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (*.f64 alpha (-.f64 beta #s(literal 1 binary64)))))
✓	30.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
	23.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
	16.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (/ (+ (* -2 beta) -2) alpha) (- beta -2)) 1/2) (+ beta 1)) alpha) (/.f64 (fma.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) (*.f64 alpha alpha))))
	10.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
	45.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
✓	46.6%	#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))))
✓	45.7%	#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))))
✓	47.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64)))
✓	37.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 987 to 458 computations (53.6% saved)

regimes90.0ms (1.1%)

Memory

11.8MiB live, 90.1MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

34.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
23.0ms	beta
11.0ms	alpha
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
9.0ms	(/.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
93.7%	2	`alpha`
73.4%	1	`beta`
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes49.0ms (0.6%)

Memory

-3.0MiB live, 38.2MiB allocated

Counts

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

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

Calls

3 calls:

33.0ms

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

7.0ms

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

7.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes36.0ms (0.4%)

Memory

-1.8MiB live, 37.4MiB allocated

Counts

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

21.0ms

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

7.0ms

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes30.0ms (0.4%)

Memory

-1.5MiB live, 37.9MiB 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) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (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))
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (*.f64 alpha (-.f64 beta #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))

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:

16.0ms

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes27.0ms (0.3%)

Memory

-6.8MiB live, 32.7MiB 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) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (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))
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (*.f64 alpha (-.f64 beta #s(literal 1 binary64)))))

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:

14.0ms

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes12.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

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))

4.0ms

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

Results

Accuracy	Segments	Branch
97.3%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.3%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.3%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes32.0ms (0.4%)

Memory

-37.1MiB live, 13.5MiB allocated

Counts

12 → 3

Calls

Call 1

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

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:

24.0ms

(/.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)))

3.0ms

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

Results

Accuracy	Segments	Branch
97.3%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.3%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.3%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes14.0ms (0.2%)

Memory

16.5MiB live, 16.5MiB 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	alpha
3.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
3.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
67.4%	2	`alpha`
90.7%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
90.7%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
90.7%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes9.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB 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 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
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 33 to 26 computations (21.2% saved)

regimes11.0ms (0.1%)

Memory

-28.4MiB live, 11.4MiB 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:

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

Results

Accuracy	Segments	Branch
70.1%	2	`beta`
70.1%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
70.1%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
70.1%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes6.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB 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:

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

Results

Accuracy	Segments	Branch
37.5%	1	`alpha`
37.5%	1	`beta`
37.5%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
37.5%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
37.5%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999966676650187	-0.9999916009084918

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999966676650187

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999966676650187

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9999966676650187

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9756745199142328	-0.6198682282974196

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.07152439175031657	0.7630423758548281
0.0ms	-0.9756745199142328	-0.6198682282974196

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.07152439175031657	0.7630423758548281
0.0ms	-0.9756745199142328	-0.6198682282974196

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.07152439175031657	0.7630423758548281
0.0ms	-0.9756745199142328	-0.6198682282974196

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.07152439175031657	0.7630423758548281
0.0ms	-0.9756745199142328	-0.6198682282974196

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07152439175031657	0.7630423758548281

Compiler

Compiled 16 to 16 computations (0% saved)

simplify35.0ms (0.4%)

Memory

-6.7MiB live, 33.0MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative-binary64-+.f64`
22×	`sub-neg-binary64-neg.f64-+.f64--.f64`
14×	`-commutative-binary64-.f64`
10×	`neg-sub0-binary64--.f64-neg.f64`
10×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	692
1	109	692
2	126	692
3	141	692
4	145	692

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 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) (fma.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) 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 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) 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 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 -1 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 -3602879701896397/4503599627370496 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 -3602879701896397/4503599627370496 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 3602879701896397/36028797018963968 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -3602879701896397/4503599627370496 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 3602879701896397/36028797018963968 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 -3602879701896397/4503599627370496 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 3602879701896397/36028797018963968 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 -3602879701896397/4503599627370496 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 3602879701896397/36028797018963968 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 3602879701896397/36028797018963968 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 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) (fma.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) 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 (fma.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) 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 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) 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 -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) 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 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 -1 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 -1 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 -1 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 -3602879701896397/4503599627370496 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 -3602879701896397/4503599627370496 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 -3602879701896397/4503599627370496 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 3602879701896397/36028797018963968 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -3602879701896397/4503599627370496 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 3602879701896397/36028797018963968 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -3602879701896397/4503599627370496 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 3602879701896397/36028797018963968 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 -3602879701896397/4503599627370496 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 3602879701896397/36028797018963968 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 -3602879701896397/4503599627370496 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 3602879701896397/36028797018963968 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 -3602879701896397/4503599627370496 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 3602879701896397/36028797018963968 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 -3602879701896397/4503599627370496 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 3602879701896397/36028797018963968 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 -3602879701896397/4503599627370496 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 3602879701896397/36028797018963968 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 3602879701896397/36028797018963968 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 3602879701896397/36028797018963968 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))

soundness1.0s (12.1%)

Memory

-1.7MiB live, 754.1MiB allocated

Rules

9 688×	`lower-fma.f64`
9 688×	`lower-fma.f32`
7 534×	`lower-fma.f64`
7 534×	`lower-fma.f32`
6 290×	`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
0	1322	11304
1	4291	10455
0	8407	9782
0	797	7224
1	2497	6786
2	7459	6762
0	8229	6326
0	433	2500
1	1394	2354
2	4567	2155
0	8646	2014
0	39	217
0	64	217
1	311	203
2	2731	203
0	9017	203

Stop Event

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

Compiler

Compiled 651 to 319 computations (51% saved)

preprocess60.0ms (0.7%)

Memory: 34.5MiB live, 192.4MiB allocated
Compiler: Compiled 726 to 172 computations (76.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze7.0ms (0.1%)

sample1.4s (16.2%)

explain128.0ms (1.5%)

preprocess357.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify110.0ms (1.3%)

localize88.0ms (1%)

series17.0ms (0.2%)

simplify204.0ms (2.4%)

rewrite255.0ms (3%)

eval80.0ms (0.9%)

prune145.0ms (1.7%)

simplify232.0ms (2.7%)

localize113.0ms (1.3%)

series105.0ms (1.2%)

simplify329.0ms (3.8%)

rewrite243.0ms (2.8%)

eval251.0ms (2.9%)

prune289.0ms (3.4%)

simplify161.0ms (1.9%)

localize236.0ms (2.8%)

series74.0ms (0.9%)

simplify218.0ms (2.5%)

rewrite198.0ms (2.3%)

eval107.0ms (1.2%)

prune147.0ms (1.7%)

simplify174.0ms (2%)

localize201.0ms (2.3%)

series60.0ms (0.7%)

simplify427.0ms (5%)

rewrite285.0ms (3.3%)

eval309.0ms (3.6%)

prune179.0ms (2.1%)

regimes90.0ms (1.1%)

regimes49.0ms (0.6%)

regimes36.0ms (0.4%)

regimes30.0ms (0.4%)

regimes27.0ms (0.3%)

regimes12.0ms (0.1%)

regimes32.0ms (0.4%)

regimes14.0ms (0.2%)

regimes9.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify35.0ms (0.4%)

soundness1.0s (12.1%)

preprocess60.0ms (0.7%)

end0.0ms (0%)

Profiling