Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

4.2MiB live, 4.2MiB 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 (14.5%)

Memory

13.5MiB live, 1 955.0MiB allocated

Samples

508.0ms	6 087×	0	valid
266.0ms	1 421×	1	valid
161.0ms	748×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 680.0ms

ival-add: 220.0ms (32.3% of total)

ival-div: 202.0ms (29.7% of total)

ival-sub: 89.0ms (13.1% of total)

adjust: 85.0ms (12.5% of total)

ival->: 57.0ms (8.4% of total)

exact: 14.0ms (2.1% of total)

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

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

Bogosity

explain123.0ms (1.3%)

Memory

1.2MiB live, 320.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
58	-	-	`(+.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	58	0

Confusion

	Predicted +	Predicted -
+	58	1
-	0	197

Precision

1.0

Recall

0.9830508474576272

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	58	0	1
-	0	0	197

Precision?

1.0

Recall?

0.9830508474576272

Freqs

test

number	freq
0	198
1	58

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms	400×	0	valid
13.0ms	80×	1	valid
7.0ms	32×	2	valid

Compiler

Compiled 115 to 34 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-add: 9.0ms (35.3% of total)

ival-div: 8.0ms (31.4% of total)

adjust: 4.0ms (15.7% of total)

ival-sub: 3.0ms (11.8% of total)

exact: 1.0ms (3.9% of total)

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

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

preprocess339.0ms (3.6%)

Memory

0.7MiB live, 160.2MiB 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 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify160.0ms (1.7%)

Memory

0.4MiB live, 58.2MiB 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 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #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 alpha beta) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(-.f64 beta alpha)
beta
alpha
(+.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)

localize71.0ms (0.8%)

Memory

-3.2MiB live, 71.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0	(+.f64 alpha beta)
accuracy	0.01953125	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	13.321206489181645	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

49.0ms	200×	0	valid
6.0ms	40×	1	valid
3.0ms	16×	2	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (31.3% of total)

ival-add: 4.0ms (31.3% of total)

adjust: 2.0ms (15.7% of total)

ival-sub: 2.0ms (15.7% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

-6.1MiB live, 30.9MiB 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 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>) () ())

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

Calls

36 calls:

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

simplify292.0ms (3.1%)

Memory

26.5MiB live, 381.0MiB 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	4563	2155
0	8642	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
(+ 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 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* 1/2 (+ 1 (/ 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 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -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 (+ 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)))
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))))))
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 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ (+ 2 (* 2 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 (/ (- (* -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 (/ 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
(- (+ 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 (/ 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 (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
-1
(- (/ beta 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
(- (* -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)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ 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
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))

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

rewrite304.0ms (3.3%)

Memory

-7.1MiB live, 414.5MiB 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 alpha beta)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))

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

eval109.0ms (1.2%)

Memory: -4.2MiB live, 199.7MiB allocated
Compiler: Compiled 18 316 to 2 319 computations (87.3% saved)

prune218.0ms (2.3%)

Memory

-14.7MiB live, 217.1MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	574	15	589
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	575	15	590

Accuracy

100.0%

Counts

590 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.2%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	51.3%	(/.f64 (fma.f64 (/.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	78.9%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
	45.8%	(/.f64 (fma.f64 (-.f64 (/.f64 (.f64 beta (.f64 beta beta)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	61.8%	(/.f64 (fma.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	79.2%	(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	4.5%	(/.f64 (+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	31.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)))
	76.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	19.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta)) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (.f64 alpha (.f64 alpha alpha)))) (+.f64 #s(literal 1 binary64) beta)) alpha))
	23.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha))
	22.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha))
	25.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
▶	52.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
▶	39.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 746 to 382 computations (48.8% saved)

simplify195.0ms (2.1%)

Memory

-9.6MiB live, 297.8MiB 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 beta alpha))
cost-diff	384	(/.f64 (fma.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	1216	(fma.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha))) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))
cost-diff	0	#s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)))
cost-diff	0	(+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
cost-diff	0	(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)) #s(literal 1 binary64))
cost-diff	320	(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha))
cost-diff	384	(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))

Rules

8 502×	`lower-fma.f32`
8 500×	`lower-fma.f64`
3 040×	`lower-*.f32`
3 032×	`lower-*.f64`
1 758×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	308
0	65	294
1	122	289
2	284	289
3	804	284
4	2313	284
5	4929	284
0	8316	276

Stop Event

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

Calls

Call 1

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

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

localize166.0ms (1.8%)

Memory

47.5MiB live, 275.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (-.f64 beta alpha) (+.f64 beta alpha))
accuracy	0.01953125	(*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha))
accuracy	0.34221772784487614	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha)))
accuracy	23.970447704821158	(fma.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha))) #s(literal 1 binary64))
accuracy	0.006191259768442017	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))
accuracy	0.01987290172363414	(+.f64 beta (+.f64 #s(literal 2 binary64) beta))
accuracy	13.321206489181645	(+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) #s(literal 1 binary64))
accuracy	48.3111872624964	#s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
accuracy	0.00390625	(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
accuracy	16.982262994782126	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
accuracy	19.96547820197061	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
accuracy	38.585799064787686	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0	(+.f64 beta alpha)
accuracy	0.02734375	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
accuracy	0.09765625	(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha))
accuracy	13.321206489181645	(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)) #s(literal 1 binary64))

Samples

40.0ms	185×	0	valid
24.0ms	46×	1	valid
22.0ms	25×	2	valid

Compiler

Compiled 270 to 37 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 20.0ms (33% of total)

ival-add: 17.0ms (28.1% of total)

ival-mult: 10.0ms (16.5% of total)

adjust: 8.0ms (13.2% of total)

ival-sub: 5.0ms (8.3% of total)

exact: 1.0ms (1.7% of total)

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

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

series68.0ms (0.7%)

Memory

-16.5MiB live, 72.2MiB allocated

Counts

21 → 456

Calls

Call 1

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

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

114 calls:

Time	Variable		Point	Expression
15.0ms	beta	@	-inf	(/ (+ (* (/ -1 (- -2 (+ beta alpha))) (- beta alpha)) 1) 2)
2.0ms	alpha	@	0	(* (- beta alpha) (+ beta alpha))
2.0ms	alpha	@	-inf	(/ (+ (* (/ -1 (- -2 (+ beta alpha))) (- beta alpha)) 1) 2)
1.0ms	beta	@	0	(/ 1 (* (+ beta (+ alpha 2)) (+ beta alpha)))
1.0ms	alpha	@	0	(/ 1 (* (+ beta (+ alpha 2)) (+ beta alpha)))

simplify348.0ms (3.7%)

Memory

-6.0MiB live, 493.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 826×	`lower-fma.f64`
6 826×	`lower-fma.f32`
5 454×	`lower-+.f64`
5 454×	`lower-+.f32`
5 166×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1011	10213
1	3389	9529
0	8295	9138

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 447

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

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

rewrite280.0ms (3%)

Memory

26.6MiB live, 470.2MiB allocated

Rules

5 348×	`lower-/.f32`
5 336×	`lower-/.f64`
2 772×	`lower-*.f32`
2 764×	`lower-*.f64`
2 396×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	257
0	65	243
1	350	233
2	3441	233
0	8933	231

Stop Event

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

Counts

21 → 868

Calls

Call 1

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

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

eval252.0ms (2.7%)

Memory: 0.2MiB live, 434.4MiB allocated
Compiler: Compiled 45 711 to 4 635 computations (89.9% saved)

prune599.0ms (6.4%)

Memory

-55.8MiB live, 355.4MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	1 453	16	1 469
Fresh	4	6	10
Picked	4	1	5
Done	0	0	0
Total	1 461	23	1 484

Accuracy

100.0%

Counts

1 484 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.2%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	65.5%	(/.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
	45.8%	(/.f64 (fma.f64 (-.f64 (/.f64 (.f64 beta (.f64 beta beta)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	76.4%	(/.f64 (+.f64 (*.f64 #s(approx (/ -1 (- -2 (+ beta alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	4.5%	(*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 beta #s(literal 2 binary64))) alpha)))) #s(literal 1/2 binary64))
	52.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	52.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64)))
▶	31.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)))
	76.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	23.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha))
▶	25.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	4.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) (+.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1/2 binary64)))))
	3.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) #s(literal -1/2 binary64))))
	50.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	51.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	50.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
	18.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 alpha alpha))) (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 8 binary64) (.f64 alpha (*.f64 alpha alpha))))) alpha)))
	18.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) (neg.f64 alpha)) #s(literal -2 binary64)) (neg.f64 alpha)) #s(literal -1 binary64)) (neg.f64 alpha))))
	19.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) (neg.f64 alpha)) #s(literal -1 binary64)) (neg.f64 alpha))))
▶	19.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal -2 binary64) alpha)) alpha)))
	20.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 #s(literal 1 binary64) alpha)))
▶	51.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #s(literal 1/2 binary64)))
✓	39.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 780 to 425 computations (45.5% saved)

simplify286.0ms (3.1%)

Memory

-17.2MiB live, 187.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

8 052×	`lower-fma.f32`
8 046×	`lower-fma.f64`
3 458×	`lower-*.f32`
3 456×	`lower-*.f64`
1 910×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	256
0	58	256
1	105	256
2	152	254
3	225	252
4	395	252
5	794	252
6	1413	248
7	2340	248
8	4732	248
9	6991	248
0	8133	244

Stop Event

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

Calls

Call 1

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

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

localize147.0ms (1.6%)

Memory

18.1MiB live, 102.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0625	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal -2 binary64) alpha)) alpha)
accuracy	0.3610851697273815	(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
accuracy	19.96547820197061	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal -2 binary64) alpha)) alpha)))
accuracy	44.30567449730162	#s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal -2 binary64) alpha)) alpha))
accuracy	0	(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
accuracy	43.762145588885076	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)))
accuracy	0	(+.f64 #s(literal 1 binary64) beta)
accuracy	0.00390625	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
accuracy	47.98110201046985	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
accuracy	18.76181405003407	#s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #s(literal 1/2 binary64))
accuracy	19.96547820197061	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #s(literal 1/2 binary64)))
accuracy	0	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
accuracy	0	(+.f64 alpha #s(literal 2 binary64))
accuracy	0.01953125	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy	13.319948586452329	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

64.0ms	185×	0	valid
19.0ms	46×	1	valid
15.0ms	25×	2	valid

Compiler

Compiled 195 to 37 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-add: 42.0ms (53.6% of total)

ival-div: 17.0ms (21.7% of total)

ival-mult: 8.0ms (10.2% of total)

adjust: 7.0ms (8.9% of total)

ival-sub: 3.0ms (3.8% of total)

exact: 1.0ms (1.3% of total)

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

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

series57.0ms (0.6%)

Memory

-24.6MiB live, 13.4MiB allocated

Counts

19 → 360

Calls

Call 1

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

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

90 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	-inf	(/ (+ (* alpha -2) -2) beta)
1.0ms	alpha	@	0	(+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1)
1.0ms	alpha	@	-inf	(+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2)
0.0ms	alpha	@	-inf	(+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1)
0.0ms	beta	@	0	(+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1)

simplify367.0ms (3.9%)

Memory

28.7MiB live, 253.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 668×	`lower-fma.f64`
10 668×	`lower-fma.f32`
5 206×	`lower-+.f64`
5 206×	`lower-+.f32`
4 260×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	505	5942
1	1560	5531
2	4895	5251
0	8718	4841

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 349

Calls

Call 1

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

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

rewrite398.0ms (4.3%)

Memory

12.6MiB live, 414.7MiB allocated

Rules

5 508×	`lower-/.f32`
5 496×	`lower-/.f64`
3 540×	`lower-fma.f32`
3 534×	`lower-fma.f64`
3 212×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	226
0	58	222
1	312	222
2	2712	222
0	8307	214

Stop Event

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

Counts

19 → 653

Calls

Call 1

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

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

eval140.0ms (1.5%)

Memory: 19.6MiB live, 321.8MiB allocated
Compiler: Compiled 24 264 to 2 595 computations (89.3% saved)

prune183.0ms (2%)

Memory

-28.7MiB live, 308.1MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	988	14	1 002
Fresh	9	8	17
Picked	3	2	5
Done	0	1	1
Total	1 000	25	1 025

Accuracy

100.0%

Counts

1 025 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.5%	(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)))) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
	78.9%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
▶	79.2%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	76.6%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	52.6%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	4.5%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	45.8%	(/.f64 (fma.f64 (-.f64 (/.f64 (.f64 beta (.f64 beta beta)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	52.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64)))
	23.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha))
✓	25.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
▶	23.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta))) alpha))
	20.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
	4.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) (+.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1/2 binary64)))))
▶	3.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) #s(literal -1/2 binary64))))
	9.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
	31.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))
▶	32.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
	50.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	51.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	50.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
	18.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 alpha alpha))) (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 8 binary64) (.f64 alpha (*.f64 alpha alpha))))) alpha)))
	18.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) alpha)) (neg.f64 alpha))))
	7.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #s(approx (/ (+ (+ 1 (/ 4 (* alpha alpha))) (/ -2 alpha)) alpha) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64)) (.f64 alpha (.f64 alpha alpha))))))
✓	51.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #s(literal 1/2 binary64)))
✓	39.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 795 to 419 computations (47.3% saved)

simplify151.0ms (1.6%)

Memory

15.8MiB live, 241.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 beta beta))
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta))) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta))) alpha))
cost-diff	1536	(.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)))
cost-diff	0	(+.f64 #s(literal 2 binary64) beta)
cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
cost-diff	0	#s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
cost-diff	0	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) beta)
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
cost-diff	0	#s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
cost-diff	0	#s(approx (* 1/2 (/ alpha (- -2 alpha))) #s(literal -1/2 binary64))
cost-diff	0	(+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) #s(literal -1/2 binary64))))
cost-diff	0	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha))

Rules

5 548×	`lower-fma.f32`
5 544×	`lower-fma.f64`
3 050×	`lower-*.f32`
3 044×	`lower-*.f64`
1 504×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	268
0	69	268
1	128	258
2	213	252
3	444	250
4	1054	247
5	2183	247
6	4416	229
7	6653	229
0	8109	226

Stop Event

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

Calls

Call 1

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

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

localize156.0ms (1.7%)

Memory

-5.7MiB live, 362.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta))
accuracy	0.012382519536884034	(-.f64 #s(literal 1 binary64) (*.f64 beta beta))
accuracy	10.966631142921212	(.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)))
accuracy	47.98110201046985	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta))) alpha))
accuracy	0	(+.f64 #s(literal 2 binary64) beta)
accuracy	0.01171875	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
accuracy	13.319948586452329	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	29.43120948959192	#s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
accuracy	0	(/.f64 #s(literal -1 binary64) beta)
accuracy	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
accuracy	15.091671980973155	#s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
accuracy	43.762145588885076	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
accuracy	16.982262994782126	(+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) #s(literal -1/2 binary64)))
accuracy	19.96547820197061	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) #s(literal -1/2 binary64))))
accuracy	43.910760892003296	#s(approx (* 1/2 (/ alpha (- -2 alpha))) #s(literal -1/2 binary64))
accuracy	0	(+.f64 alpha #s(literal 2 binary64))
accuracy	0.02734375	(/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy	0.09765625	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha))
accuracy	13.319948586452329	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

50.0ms	185×	0	valid
24.0ms	46×	1	valid
18.0ms	25×	2	valid

Compiler

Compiled 206 to 44 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 19.0ms (28.6% of total)

ival-add: 19.0ms (28.6% of total)

ival-mult: 14.0ms (21.1% of total)

adjust: 8.0ms (12% of total)

ival-sub: 5.0ms (7.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series33.0ms (0.3%)

Memory

7.5MiB live, 80.7MiB allocated

Counts

21 → 384

Calls

Call 1

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

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

96 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	-inf	(/ (* (- 1 (* beta beta)) (/ 1 (- 1 beta))) alpha)
2.0ms	beta	@	inf	(/ (* (- 1 (* beta beta)) (/ 1 (- 1 beta))) alpha)
1.0ms	alpha	@	0	(/ (* (- 1 (* beta beta)) (/ 1 (- 1 beta))) alpha)
1.0ms	alpha	@	inf	(/ (* (- 1 (* beta beta)) (/ 1 (- 1 beta))) alpha)
0.0ms	beta	@	0	(/ (* (- 1 (* beta beta)) (/ 1 (- 1 beta))) alpha)

simplify311.0ms (3.3%)

Memory

-30.1MiB live, 500.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 514×	`lower-fma.f64`
8 514×	`lower-fma.f32`
4 202×	`lower-*.f64`
4 202×	`lower-*.f32`
3 754×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	651	6711
1	2013	6326
2	6006	6143
0	8202	5810

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 374

Calls

Call 1

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

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

rewrite286.0ms (3.1%)

Memory

26.5MiB live, 591.3MiB allocated

Rules

5 540×	`lower-*.f32`
5 534×	`lower-*.f64`
4 554×	`lower-/.f32`
4 544×	`lower-/.f64`
3 548×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	243
0	69	230
1	357	212
2	2781	212
0	9192	208

Stop Event

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

Counts

21 → 442

Calls

Call 1

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

Outputs
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (neg.f64 alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) beta) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal -1 binary64)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (neg.f64 alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) beta (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 alpha)))
(fma.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(fma.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (neg.f64 alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(fma.f64 (/.f64 beta (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 beta (.f64 beta beta)))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (.f64 beta beta)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(fma.f64 (/.f64 beta (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 beta (.f64 beta beta)))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (.f64 beta beta)) (*.f64 (neg.f64 alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(fma.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(fma.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (*.f64 (neg.f64 alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(fma.f64 (/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)))) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(fma.f64 (/.f64 beta (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)))) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)) (.f64 (neg.f64 alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta alpha)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) #s(literal 1 binary64)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta alpha))))
(/.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))))
(/.f64 (.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha)))
(/.f64 (-.f64 (.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta alpha))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha))) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha))) (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta alpha))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta alpha))) (+.f64 beta alpha)))
(/.f64 (.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) #s(literal 1 binary64)) (.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) #s(literal -1 binary64)) (.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta alpha)))))
(/.f64 (.f64 (.f64 (+.f64 beta alpha) (-.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (+.f64 beta alpha) (-.f64 beta alpha)) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta alpha)))))
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(/.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 8 binary64)) (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (.f64 alpha #s(literal 2 binary64))))
(/.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 alpha alpha) (*.f64 alpha #s(literal 2 binary64)))))
(/.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (+.f64 alpha #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 2 binary64) alpha))
(/.f64 (neg.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (.f64 alpha #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 alpha alpha #s(literal -4 binary64))) (neg.f64 (+.f64 alpha #s(literal -2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) (+.f64 alpha #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (+.f64 alpha #s(literal -2 binary64)) (+.f64 alpha #s(literal -2 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (.f64 alpha #s(literal 2 binary64))) (fma.f64 alpha (.f64 alpha alpha) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 alpha #s(literal -2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 alpha (.f64 alpha alpha) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))))
(*.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal -2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 beta)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) beta)))
(pow.f64 (-.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) beta))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) beta) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 1 binary64) beta)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 beta))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) beta))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) beta) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) beta) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 beta beta))) (+.f64 #s(literal 1 binary64) beta))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 beta beta))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 beta (*.f64 beta beta)))) (+.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 beta (*.f64 beta beta)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta)) #s(literal -1 binary64)))

eval110.0ms (1.2%)

Memory: -9.7MiB live, 340.1MiB allocated
Compiler: Compiled 17 937 to 2 019 computations (88.7% saved)

prune138.0ms (1.5%)

Memory

-11.6MiB live, 395.1MiB allocated

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	811	5	816
Fresh	0	17	17
Picked	2	3	5
Done	0	3	3
Total	813	28	841

Accuracy

100.0%

Counts

841 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.5%	(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)))) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
	78.9%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓	76.6%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	52.6%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	4.5%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	76.6%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	46.2%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ beta (+ 2 beta)) (*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	47.6%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ beta (+ 2 beta)) (*.f64 beta #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	45.8%	(/.f64 (fma.f64 (-.f64 (/.f64 (.f64 beta (.f64 beta beta)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	52.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64)))
	23.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha))
✓	25.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	5.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) #s(approx (/ 1 (- 1 beta)) (/.f64 #s(literal -1 binary64) beta))) alpha))
	20.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
	4.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) (+.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1/2 binary64)))))
✓	3.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) #s(literal -1/2 binary64))))
	23.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
	9.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
	31.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))
✓	32.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
	50.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	51.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	50.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
	18.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 alpha alpha))) (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 8 binary64) (.f64 alpha (*.f64 alpha alpha))))) alpha)))
	18.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) alpha)) (neg.f64 alpha))))
	7.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #s(approx (/ (+ (+ 1 (/ 4 (* alpha alpha))) (/ -2 alpha)) alpha) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64)) (.f64 alpha (.f64 alpha alpha))))))
✓	51.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #s(literal 1/2 binary64)))
✓	39.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 1 218 to 435 computations (64.3% saved)

regimes129.0ms (1.4%)

Memory

28.1MiB live, 185.0MiB allocated

Counts

51 → 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 (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ beta (+ 2 beta)) (*.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 (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) (+.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1/2 binary64)))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ beta (+ 2 beta)) (*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #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 (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 beta #s(literal 2 binary64))) alpha)))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #s(approx (/ (+ (+ 1 (/ 4 (* alpha alpha))) (/ -2 alpha)) alpha) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64)) (.f64 alpha (.f64 alpha alpha))))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) #s(approx (/ 1 (- 1 beta)) (/.f64 #s(literal -1 binary64) beta))) alpha))
(/.f64 (+.f64 (*.f64 #s(approx (/ -1 (- -2 (+ beta alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta))) alpha))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) (neg.f64 alpha)) #s(literal -1 binary64)) (neg.f64 alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal -2 binary64) alpha)) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha))
(/.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)))) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) alpha)) (neg.f64 alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) (neg.f64 alpha)) #s(literal -2 binary64)) (neg.f64 alpha)) #s(literal -1 binary64)) (neg.f64 alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 alpha alpha))) (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 8 binary64) (.f64 alpha (*.f64 alpha alpha))))) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha))
(/.f64 (fma.f64 (/.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta)) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (.f64 alpha (.f64 alpha alpha)))) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (-.f64 (/.f64 (.f64 beta (.f64 beta beta)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs

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

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

Calls

5 calls:

42.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
41.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
16.0ms	alpha
15.0ms	beta
12.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
95.0%	2	`alpha`
79.2%	1	`beta`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes33.0ms (0.4%)

Memory

1.0MiB live, 79.0MiB allocated

Counts

39 → 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 (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ beta (+ 2 beta)) (*.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 (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) (+.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1/2 binary64)))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ beta (+ 2 beta)) (*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #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 (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 beta #s(literal 2 binary64))) alpha)))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #s(approx (/ (+ (+ 1 (/ 4 (* alpha alpha))) (/ -2 alpha)) alpha) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64)) (.f64 alpha (.f64 alpha alpha))))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) #s(approx (/ 1 (- 1 beta)) (/.f64 #s(literal -1 binary64) beta))) alpha))
(/.f64 (+.f64 (*.f64 #s(approx (/ -1 (- -2 (+ beta alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta))) alpha))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) (neg.f64 alpha)) #s(literal -1 binary64)) (neg.f64 alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal -2 binary64) alpha)) alpha)))

Outputs

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

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

Calls

3 calls:

11.0ms

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

10.0ms

(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 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
99.7%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.7%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.7%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes30.0ms (0.3%)

Memory

-17.6MiB live, 60.8MiB 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 (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ beta (+ 2 beta)) (*.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 (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) (+.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1/2 binary64)))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ beta (+ 2 beta)) (*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #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 (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- beta alpha) (+ (+ alpha beta) 2)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 beta #s(literal 2 binary64))) alpha)))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #s(approx (/ (+ (+ 1 (/ 4 (* alpha alpha))) (/ -2 alpha)) alpha) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64)) (.f64 alpha (.f64 alpha alpha))))))

Outputs

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

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

Calls

3 calls:

12.0ms

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

10.0ms

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

7.0ms

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

Results

Accuracy	Segments	Branch
99.7%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.7%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.7%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes23.0ms (0.2%)

Memory

16.9MiB live, 54.3MiB allocated

Counts

24 → 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 (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ beta (+ 2 beta)) (*.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 (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) (+.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1/2 binary64)))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ beta (+ 2 beta)) (*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #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 (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Outputs

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

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

Calls

3 calls:

9.0ms

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

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
97.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.5%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory

14.4MiB live, 50.3MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

9.0ms

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

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
97.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.5%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

-0.8MiB live, 37.5MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

6.0ms

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory

-25.5MiB live, 27.2MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

9.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
97.8%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.8%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.8%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-6.0MiB live, 33.4MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

4.0ms

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

4.0ms

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

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
97.8%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.8%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.8%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

0.6MiB live, 39.6MiB 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 (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ beta (+ 2 beta)) (*.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 (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))

Outputs

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

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

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

Calls

4 calls:

4.0ms	alpha
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 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
68.0%	2	`alpha`
92.8%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
92.8%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.8%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-13.1MiB live, 26.0MiB 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 (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ alpha (- -2 alpha))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ beta (+ 2 beta)) (*.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 (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
92.7%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
92.7%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.7%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

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
92.3%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
92.3%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.3%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes38.0ms (0.4%)

Memory

-20.8MiB live, 19.6MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

32.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms	beta
2.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
75.7%	2	`beta`
75.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
75.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
75.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
75.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
75.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
75.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
75.6%	2	`beta`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB 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	alpha
1.0ms	beta
1.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
39.7%	1	`alpha`
39.7%	1	`beta`
39.7%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
39.7%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
39.7%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999920450253	-0.99997689117978

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999920450253	-0.99997689117978

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999920450253	-0.99997689117978

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.99997689117978	-0.9655766856964629

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.99997689117978	-0.9655766856964629

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0062935599350235055	0.8626936908013966
0.0ms	-0.5053050405365591	-0.006616706012844084

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0062935599350235055	0.8626936908013966
0.0ms	-0.5053050405365591	-0.006616706012844084

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0062935599350235055	0.8626936908013966
0.0ms	-0.99997689117978	-0.9655766856964629

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0062935599350235055	0.8626936908013966
0.0ms	-0.99997689117978	-0.9655766856964629

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0062935599350235055	0.8626936908013966
0.0ms	-0.99997689117978	-0.9655766856964629

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0062935599350235055	0.8626936908013966
0.0ms	-0.5053050405365591	-0.006616706012844084

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch37.0ms (0.4%)

Memory

-2.5MiB live, 36.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	0.012666839382890548	656110.2011821133

Samples

5.0ms	101×	0	valid
3.0ms	28×	1	valid
3.0ms	15×	2	valid

Compiler

Compiled 144 to 105 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 3.0ms (37.6% of total)

ival-add: 3.0ms (37.6% of total)

adjust: 1.0ms (12.5% of total)

ival-sub: 1.0ms (12.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory

-19.7MiB live, 18.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0062935599350235055	0.8626936908013966

Samples

4.0ms

112×

valid

Compiler

Compiled 95 to 72 computations (24.2% saved)

Precisions

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

ival-div: 1.0ms (70.1% of total)

ival-add: 1.0ms (70.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify17.0ms (0.2%)

Memory

-7.7MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
10×	`*-commutative_binary64`
10×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	992
1	132	992
2	139	992
3	143	992
4	145	992

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #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 -9007019110755897/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #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 -9007019110755897/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -2206763817411543/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) 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 -2206763817411543/2251799813685248 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 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))))
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(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))))
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(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
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#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Outputs
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(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2206763817411543/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 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 beta alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ alpha (- -2 alpha)))) #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))

soundness1.2s (12.7%)

Memory

9.4MiB live, 1 206.3MiB allocated

Rules

10 668×	`lower-fma.f64`
10 668×	`lower-fma.f32`
9 688×	`lower-fma.f64`
9 688×	`lower-fma.f32`
6 826×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1011	10213
1	3389	9529
0	8295	9138
0	49	243
0	69	230
1	357	212
2	2781	212
0	9192	208
0	39	226
0	58	222
1	312	222
2	2712	222
0	8307	214
0	10	44
0	16	44
1	91	44
2	748	44
0	9057	43
0	433	2500
1	1394	2354
2	4563	2155
0	8642	2014
0	505	5942
1	1560	5531
2	4895	5251
0	8718	4841

Stop Event

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

Compiler

Compiled 949 to 396 computations (58.3% saved)

preprocess68.0ms (0.7%)

Memory: 9.5MiB live, 125.5MiB allocated
Compiler: Compiled 960 to 170 computations (82.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.4s (14.5%)

explain123.0ms (1.3%)

preprocess339.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify160.0ms (1.7%)

localize71.0ms (0.8%)

series16.0ms (0.2%)

simplify292.0ms (3.1%)

rewrite304.0ms (3.3%)

eval109.0ms (1.2%)

prune218.0ms (2.3%)

simplify195.0ms (2.1%)

localize166.0ms (1.8%)

series68.0ms (0.7%)

simplify348.0ms (3.7%)

rewrite280.0ms (3%)

eval252.0ms (2.7%)

prune599.0ms (6.4%)

simplify286.0ms (3.1%)

localize147.0ms (1.6%)

series57.0ms (0.6%)

simplify367.0ms (3.9%)

rewrite398.0ms (4.3%)

eval140.0ms (1.5%)

prune183.0ms (2%)

simplify151.0ms (1.6%)

localize156.0ms (1.7%)

series33.0ms (0.3%)

simplify311.0ms (3.3%)

rewrite286.0ms (3.1%)

eval110.0ms (1.2%)

prune138.0ms (1.5%)

regimes129.0ms (1.4%)

regimes33.0ms (0.4%)

regimes30.0ms (0.3%)

regimes23.0ms (0.2%)

regimes21.0ms (0.2%)

regimes15.0ms (0.2%)

regimes17.0ms (0.2%)

regimes13.0ms (0.1%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes38.0ms (0.4%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch37.0ms (0.4%)

bsearch11.0ms (0.1%)

simplify17.0ms (0.2%)

soundness1.2s (12.7%)

preprocess68.0ms (0.7%)

end0.0ms (0%)

Profiling