Metrics for Octave 3.8, jcobi/1

analyze2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample1.3s (13.1%)

Memory

-1.8MiB live, 1 900.4MiB allocated

Samples

455.0ms	6 031×	0	valid
272.0ms	1 502×	1	valid
212.0ms	723×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 646.0ms

ival-add: 196.0ms (30.3% of total)

ival-div: 194.0ms (30% of total)

adjust: 119.0ms (18.4% of total)

ival-sub: 72.0ms (11.1% of total)

ival->: 38.0ms (5.9% of total)

exact: 14.0ms (2.2% of total)

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

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

Bogosity

preprocess389.0ms (3.9%)

Memory

-8.3MiB live, 200.7MiB 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))

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

explain163.0ms (1.6%)

Memory

41.1MiB live, 276.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
67	-	1	(140.46487758875045 3.766594473500734e-287)	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	-	0	-	`beta`
0	-	0	-	`(+.f64 alpha beta)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	-	0	-	`alpha`
0	-	0	-	`(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
0	-	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	66	1

Confusion

	Predicted +	Predicted -
+	66	1
-	0	189

Precision

1.0

Recall

0.9850746268656716

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	1	0
-	0	0	189

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	190
1	66

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms	82×	1	valid
27.0ms	384×	0	valid
10.0ms	46×	2	valid

Compiler

Compiled 130 to 44 computations (66.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-add: 34.0ms (65.3% of total)

ival-div: 8.0ms (15.4% of total)

adjust: 5.0ms (9.6% of total)

ival-sub: 4.0ms (7.7% of total)

exact: 1.0ms (1.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0%)

Memory

-35.3MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.9%	(/.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)

simplify144.0ms (1.4%)

Memory

40.4MiB live, 156.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal -4 binary64))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))
(-.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha beta)
(+.f64 beta alpha)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize40.0ms (0.4%)

Memory

-28.1MiB live, 83.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 alpha beta)
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	accuracy	75.9%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

13.0ms	192×	0	valid
8.0ms	23×	2	valid
6.0ms	41×	1	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-add: 5.0ms (37% of total)

ival-div: 4.0ms (29.6% of total)

adjust: 2.0ms (14.8% of total)

ival-sub: 2.0ms (14.8% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory

38.6MiB live, 38.6MiB 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
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)
1.0ms	beta	@	0	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)

simplify409.0ms (4.1%)

Memory

-12.6MiB live, 640.8MiB 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 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 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))))))
(+ (* 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)) (neg.f64 (/.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))) (.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 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 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)))))
(- (+ 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 (fma.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))) (neg.f64 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))))))
(+.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 #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)

rewrite403.0ms (4%)

Memory

-15.2MiB live, 679.7MiB allocated

Algorithm

1×	batch-egg-rewrite

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))))

eval78.0ms (0.8%)

Memory: -6.8MiB live, 182.1MiB allocated
Compiler: Compiled 18 316 to 2 314 computations (87.4% saved)

prune133.0ms (1.3%)

Memory

-17.7MiB live, 220.8MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	577	12	589
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	578	12	590

Accuracy

100.0%

Counts

590 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	56.6%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (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))) #s(literal 1 binary64)) #s(literal 2 binary64))
	75.6%	(/.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))
▶	75.9%	(/.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))))
▶	29.1%	#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)))
▶	73.6%	#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)))
	22.0%	#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)) (neg.f64 (/.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))) (.f64 alpha (.f64 alpha alpha))))) (+.f64 #s(literal 1 binary64) beta)) alpha))
▶	26.4%	#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))
	26.2%	#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))
	28.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	52.4%	#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)))))
▶	37.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 492 to 294 computations (40.2% saved)

simplify469.0ms (4.7%)

Memory

59.9MiB live, 837.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
✓	cost-diff	0	(/.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)
✓	cost-diff	0	#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))
✓	cost-diff	512	(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))
✓	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 2 binary64) beta)
✓	cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
✓	cost-diff	0	#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)))
✓	cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
✓	cost-diff	1216	(/.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))))

Rules

26 280×	`lower-fma.f32`
26 272×	`lower-fma.f64`
3 108×	`lower-*.f32`
3 106×	`lower-*.f64`
2 346×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	271
0	60	269
1	114	269
2	215	267
3	486	265
4	1577	256
5	6759	256
0	8125	249

Stop Event

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

Calls

Call 1

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

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

localize187.0ms (1.9%)

Memory

-27.3MiB live, 283.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
✓	accuracy	99.9%	(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
✓	accuracy	98.0%	(/.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)
✓	accuracy	26.4%	#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))
✓	accuracy	100.0%	(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
✓	accuracy	100.0%	(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	100.0%	(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
✓	accuracy	29.1%	#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	100.0%	(+.f64 #s(literal 2 binary64) beta)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	accuracy	73.6%	#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)))
✓	accuracy	37.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	99.9%	(/.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))))
✓	accuracy	99.9%	(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
✓	accuracy	75.9%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))

Samples

102.0ms	192×	0	valid
21.0ms	41×	1	valid
15.0ms	23×	2	valid

Compiler

Compiled 240 to 37 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-div: 49.0ms (42.4% of total)

ival-mult: 38.0ms (32.9% of total)

ival-add: 16.0ms (13.8% of total)

adjust: 7.0ms (6.1% of total)

ival-sub: 5.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series75.0ms (0.8%)

Memory

-29.4MiB live, 83.7MiB allocated

Counts

18 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	inf	(/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha)
2.0ms	beta	@	0	(+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta))
2.0ms	alpha	@	0	(/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))
2.0ms	beta	@	inf	(/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))
1.0ms	alpha	@	inf	(/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))

simplify466.0ms (4.7%)

Memory

16.7MiB live, 685.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 774×	`lower-fma.f64`
7 774×	`lower-fma.f32`
6 092×	`lower-*.f64`
6 092×	`lower-*.f32`
5 148×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	856	9015
1	2747	8492
0	8195	8049

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 370

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

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

rewrite394.0ms (3.9%)

Memory

4.1MiB live, 521.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 562×	`lower-*.f32`
5 560×	`lower-*.f64`
3 506×	`lower-/.f32`
3 492×	`lower-/.f64`
3 434×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	225
0	60	223
1	333	223
2	2663	223
0	8114	215

Stop Event

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

Counts

18 → 505

Calls

Call 1

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

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

eval157.0ms (1.6%)

Memory: 35.0MiB live, 261.3MiB allocated
Compiler: Compiled 26 071 to 2 683 computations (89.7% saved)

prune136.0ms (1.4%)

Memory

1.3MiB live, 327.8MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	893	9	902
Fresh	1	6	7
Picked	3	2	5
Done	0	0	0
Total	897	17	914

Accuracy

100.0%

Counts

914 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	56.6%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (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))) #s(literal 1 binary64)) #s(literal 2 binary64))
	75.6%	(/.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))
	63.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64))))
▶	52.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))))
	28.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) (/.f64 (*.f64 alpha #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
▶	82.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) (.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))))
✓	73.6%	#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)))
	26.2%	#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))
	28.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
▶	20.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
	52.4%	#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)))))
▶	29.5%	#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))))
	46.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
	47.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
▶	50.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
✓	37.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 529 to 314 computations (40.6% saved)

simplify513.0ms (5.1%)

Memory

-90.2MiB live, 662.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	0	#s(approx (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
✓	cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
✓	cost-diff	0	#s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
✓	cost-diff	0	(/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
✓	cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
✓	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 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
✓	cost-diff	320	(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
✓	cost-diff	320	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
✓	cost-diff	512	(.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
✓	cost-diff	1088	(/.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))

Rules

14 094×	`lower-fma.f32`
14 090×	`lower-fma.f64`
6 188×	`lower-*.f32`
6 180×	`lower-*.f64`
2 786×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	503
0	89	502
1	184	494
2	478	441
3	1654	413
0	8899	399

Stop Event

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

Calls

Call 1

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

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

localize202.0ms (2%)

Memory

2.8MiB live, 440.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))))
✓	accuracy	99.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
✓	accuracy	72.3%	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	70.2%	#s(approx (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
✓	accuracy	98.0%	(/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
✓	accuracy	67.0%	#s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
✓	accuracy	26.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) beta)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓	accuracy	73.4%	#s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
✓	accuracy	29.1%	#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	73.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
✓	accuracy	71.6%	#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) (.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))))
✓	accuracy	99.8%	(.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
✓	accuracy	94.5%	(.f64 alpha (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
✓	accuracy	81.1%	(/.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))

Samples

57.0ms	181×	0	valid
40.0ms	45×	1	valid
30.0ms	30×	2	valid

Compiler

Compiled 357 to 55 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-div: 29.0ms (30.8% of total)

ival-add: 23.0ms (24.4% of total)

ival-mult: 21.0ms (22.3% of total)

adjust: 14.0ms (14.9% of total)

ival-sub: 6.0ms (6.4% of total)

exact: 1.0ms (1.1% of total)

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

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

series70.0ms (0.7%)

Memory

-1.4MiB live, 73.3MiB allocated

Counts

20 → 408

Calls

Call 1

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

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

Calls

102 calls:

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

simplify390.0ms (3.9%)

Memory

15.3MiB live, 657.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 064×	`lower-fma.f64`
8 064×	`lower-fma.f32`
5 706×	`lower-+.f64`
5 706×	`lower-+.f32`
5 678×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	912	9452
1	2915	8925
0	8231	8444

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

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

rewrite387.0ms (3.9%)

Memory

6.9MiB live, 397.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 150×	`lower-*.f32`
4 142×	`lower-*.f64`
3 626×	`lower-/.f32`
3 608×	`lower-/.f64`
3 450×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	402
0	88	382
1	503	378
2	4448	378
0	8478	366

Stop Event

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

Counts

20 → 317

Calls

Call 1

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

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

eval150.0ms (1.5%)

Memory: 7.3MiB live, 130.0MiB allocated
Compiler: Compiled 22 289 to 2 121 computations (90.5% saved)

prune142.0ms (1.4%)

Memory

-26.3MiB live, 172.1MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	720	5	725
Fresh	8	2	10
Picked	3	2	5
Done	0	2	2
Total	731	11	742

Accuracy

100.0%

Counts

742 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) #s(approx (* alpha (+ (* -2 (/ (* (- -2 beta) (+ beta (+ 2 beta))) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2)))) (-.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha beta beta)))))
▶	70.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) #s(approx (* alpha (+ (* -2 (/ (* (- -2 beta) (+ beta (+ 2 beta))) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2)))) (+.f64 alpha #s(literal 2 binary64)))))
	52.4%	(*.f64 #s(approx (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))
✓	73.6%	#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)))
▶	28.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
▶	21.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
✓	29.5%	#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))))
▶	46.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
▶	47.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
✓	50.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
✓	37.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 169 to 107 computations (36.7% saved)

simplify425.0ms (4.3%)

Memory

30.7MiB live, 411.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

14 038×	`lower-fma.f32`
14 032×	`lower-fma.f64`
6 116×	`lower-*.f64`
6 116×	`lower-*.f32`
2 750×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	397
0	72	397
1	165	397
2	447	361
3	1614	331
0	8793	321

Stop Event

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

Calls

Call 1

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

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

localize202.0ms (2%)

Memory

-6.4MiB live, 366.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 beta #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
✓	accuracy	28.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
✓	accuracy	100.0%	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64))
✓	accuracy	73.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
✓	accuracy	66.3%	#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	98.0%	(/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)
✓	accuracy	67.0%	#s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64)))
✓	accuracy	31.5%	#s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))
✓	accuracy	26.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
✓	accuracy	100.0%	(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	accuracy	73.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
✓	accuracy	67.6%	#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(+.f64 alpha #s(literal 2 binary64))
✓	accuracy	100.0%	#s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) #s(approx (* alpha (+ (* -2 (/ (* (- -2 beta) (+ beta (+ 2 beta))) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2)))) (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) #s(approx (* alpha (+ (* -2 (/ (* (- -2 beta) (+ beta (+ 2 beta))) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2)))) (+.f64 alpha #s(literal 2 binary64)))))
✓	accuracy	70.2%	#s(approx (* alpha (+ (* -2 (/ (* (- -2 beta) (+ beta (+ 2 beta))) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2)))) (+.f64 alpha #s(literal 2 binary64)))

Samples

87.0ms	192×	0	valid
31.0ms	41×	1	valid
31.0ms	23×	2	valid

Compiler

Compiled 221 to 55 computations (75.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-add: 56.0ms (44.1% of total)

ival-mult: 31.0ms (24.4% of total)

ival-div: 22.0ms (17.3% of total)

adjust: 10.0ms (7.9% of total)

ival-sub: 7.0ms (5.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series31.0ms (0.3%)

Memory

-7.3MiB live, 68.5MiB allocated

Counts

18 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
7.0ms	beta	@	inf	(+ (* beta (+ (* beta -1/8) 1/4)) 1/2)
2.0ms	beta	@	0	(+ (* beta 1/4) 1/2)
0.0ms	alpha	@	0	(/ (+ beta 1) alpha)
0.0ms	alpha	@	inf	(/ (+ beta 1) alpha)
0.0ms	beta	@	-inf	(+ (* beta (+ (* beta -1/8) 1/4)) 1/2)

simplify354.0ms (3.5%)

Memory

20.0MiB live, 731.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 630×	`lower-fma.f64`
6 630×	`lower-fma.f32`
5 596×	`lower-*.f64`
5 596×	`lower-*.f32`
3 788×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	633	7788
1	2005	7225
2	7109	7111
0	8042	6696

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 332

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

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

rewrite289.0ms (2.9%)

Memory

-16.9MiB live, 499.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 098×	`lower-*.f64`
4 098×	`lower-*.f32`
3 338×	`lower-/.f32`
3 332×	`lower-/.f64`
3 206×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	382
0	72	370
1	468	370
2	4270	370
0	8098	348

Stop Event

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

Counts

18 → 179

Calls

Call 1

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

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

eval82.0ms (0.8%)

Memory: 3.7MiB live, 120.9MiB allocated
Compiler: Compiled 11 179 to 934 computations (91.6% saved)

prune125.0ms (1.2%)

Memory

30.9MiB live, 148.5MiB allocated

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	508	3	511
Fresh	0	2	2
Picked	0	5	5
Done	0	4	4
Total	508	14	522

Accuracy

100.0%

Counts

522 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) #s(approx (* alpha (+ (* -2 (/ (* (- -2 beta) (+ beta (+ 2 beta))) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2)))) (-.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha beta beta)))))
✓	70.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) #s(approx (* alpha (+ (* -2 (/ (* (- -2 beta) (+ beta (+ 2 beta))) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2)))) (+.f64 alpha #s(literal 2 binary64)))))
	52.4%	(*.f64 #s(approx (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))
✓	73.6%	#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)))
✓	28.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
✓	21.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
	10.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
✓	29.5%	#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))))
✓	46.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
✓	47.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
	2.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta (+ (* beta -1/8) 1/4)) 1/2) (.f64 (.f64 beta beta) #s(literal -1/8 binary64)))))
	4.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
✓	50.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
✓	37.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 535 to 198 computations (63% saved)

regimes113.0ms (1.1%)

Memory

-17.2MiB live, 85.9MiB allocated

Counts

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

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))

(/.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))

Calls

5 calls:

59.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
27.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
9.0ms	alpha
9.0ms	beta
7.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
96.1%	2	`alpha`
98.3%	2	`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)

regimes23.0ms (0.2%)

Memory

-13.9MiB live, 24.6MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

(/.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))

Calls

3 calls:

10.0ms

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

5.0ms

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

5.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory

-12.1MiB live, 26.7MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms

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

5.0ms

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

5.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes34.0ms (0.3%)

Memory

-10.9MiB live, 30.9MiB allocated

Counts

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

Outputs

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

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

#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

4 calls:

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

Results

Accuracy	Segments	Branch
93.8%	2	`beta`
99.8%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.8%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.8%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

5.0ms

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

4.0ms

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

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
99.3%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.3%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.3%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
99.0%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.0%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.0%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes37.0ms (0.4%)

Memory

-18.9MiB live, 19.8MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

26.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
4.0ms	alpha
3.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
3.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
74.2%	2	`alpha`
97.4%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.4%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.4%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB 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 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta (+ (* beta -1/8) 1/4)) 1/2) (.f64 (.f64 beta beta) #s(literal -1/8 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #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) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))

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

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

Results

Accuracy	Segments	Branch
73.4%	2	`beta`
91.1%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
91.1%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.1%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes27.0ms (0.3%)

Memory

-24.1MiB live, 15.0MiB 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 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta (+ (* beta -1/8) 1/4)) 1/2) (.f64 (.f64 beta beta) #s(literal -1/8 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #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 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))

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

21.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
90.9%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
90.9%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
90.9%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

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

Outputs

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

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

2.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-24.9MiB live, 14.2MiB allocated

Counts

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

Outputs

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

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

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
79.2%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
79.2%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
79.2%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
73.0%	2	`beta`
54.3%	2	`alpha`
72.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
72.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
72.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-26.9MiB live, 14.3MiB 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 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
72.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
72.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
72.5%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
72.5%	2	`beta`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
37.2%	1	`alpha`
37.2%	1	`beta`
37.2%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
37.2%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
37.2%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999985631	-0.9999861435116604

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999985631	-0.9999861435116604

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999985631	-0.9999861435116604

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00575869294364857	0.9944543766983573
0.0ms	-1.0	-0.9999999999985631

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00575869294364857	0.9944543766983573
0.0ms	-1.0	-0.9999999999985631

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00575869294364857	0.9944543766983573
0.0ms	-1.0	-0.9999999999985631

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00575869294364857	0.9944543766983573
0.0ms	-0.9859614521568373	-0.020743663350709172

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00575869294364857	0.9944543766983573
0.0ms	-0.9859614521568373	-0.020743663350709172

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	0.00575869294364857	0.9944543766983573
0.0ms	-0.9859614521568373	-0.020743663350709172

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00575869294364857	0.9944543766983573
0.0ms	-0.9859614521568373	-0.020743663350709172

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00575869294364857	0.9944543766983573
0.0ms	-1.0	-0.9999999999985631

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch48.0ms (0.5%)

Memory

-12.0MiB live, 26.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
46.0ms	1.015881588021549e-5	358.64476276410124

Samples

34.0ms	97×	0	valid
3.0ms	29×	1	valid
3.0ms	18×	2	valid

Compiler

Compiled 144 to 105 computations (27.1% saved)

Precisions

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

ival-add: 32.0ms (85.8% of total)

adjust: 2.0ms (5.4% of total)

ival-div: 2.0ms (5.4% of total)

ival-sub: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00575869294364857	0.9944543766983573

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify16.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	1176
1	153	1176
2	168	1176
3	178	1176
4	182	1176

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #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)) (/.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)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.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)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) #s(approx (* alpha (+ (* -2 (/ (* (- -2 beta) (+ beta (+ 2 beta))) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2)))) (-.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha beta beta))))) #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)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) #s(approx (* alpha (+ (* -2 (/ (* (- -2 beta) (+ beta (+ 2 beta))) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2)))) (+.f64 alpha #s(literal 2 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)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) #s(approx (* alpha (+ (* -2 (/ (* (- -2 beta) (+ beta (+ 2 beta))) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2)))) (+.f64 alpha #s(literal 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))))))
(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 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #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))))))
(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 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #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 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #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))))))
(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 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #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 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #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))))
(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 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #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 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #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 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 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 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #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 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #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 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #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)) (/.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)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha)) (/.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)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.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)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (/.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)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)))
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(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) #s(approx (* alpha (+ (* -2 (/ (* (- -2 beta) (+ beta (+ 2 beta))) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2)))) (-.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha beta beta))))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) #s(approx (* alpha (+ (* -2 (/ (* (- -2 beta) (+ beta (+ 2 beta))) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2)))) (+.f64 alpha #s(literal 2 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)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) #s(approx (* alpha (+ (* -2 (/ (* (- -2 beta) (+ beta (+ 2 beta))) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2)))) (+.f64 alpha #s(literal 2 binary64))))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) #s(approx (* alpha (+ (* -2 (/ (* (- -2 beta) (+ beta (+ 2 beta))) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2)))) (+.f64 alpha #s(literal 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))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)) #s(approx (* alpha (+ (* -2 (/ (* (- -2 beta) (+ beta (+ 2 beta))) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2)))) (+.f64 alpha #s(literal 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))))))
(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 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #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))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #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))))))
(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 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #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 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #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))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #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))))))
(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 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #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 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #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))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #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))))
(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 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #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 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #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 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #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 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 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 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #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 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #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 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #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 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

soundness1.2s (11.9%)

Memory

7.2MiB live, 716.0MiB allocated

Rules

9 688×	`lower-fma.f64`
9 688×	`lower-fma.f32`
8 064×	`lower-fma.f64`
8 064×	`lower-fma.f32`
7 774×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	633	7788
1	2005	7225
2	7109	7111
0	8042	6696
0	10	44
0	16	44
1	91	44
2	748	44
0	9057	43
0	912	9452
1	2915	8925
0	8231	8444
0	433	2500
1	1394	2354
2	4563	2155
0	8642	2014
0	856	9015
1	2747	8492
0	8195	8049

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

Compiler

Compiled 986 to 376 computations (61.9% saved)

preprocess67.0ms (0.7%)

Memory: 0.8MiB live, 156.1MiB allocated
Compiler: Compiled 1 010 to 158 computations (84.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample1.3s (13.1%)

preprocess389.0ms (3.9%)

explain163.0ms (1.6%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify144.0ms (1.4%)

localize40.0ms (0.4%)

series14.0ms (0.1%)

simplify409.0ms (4.1%)

rewrite403.0ms (4%)

eval78.0ms (0.8%)

prune133.0ms (1.3%)

simplify469.0ms (4.7%)

localize187.0ms (1.9%)

series75.0ms (0.8%)

simplify466.0ms (4.7%)

rewrite394.0ms (3.9%)

eval157.0ms (1.6%)

prune136.0ms (1.4%)

simplify513.0ms (5.1%)

localize202.0ms (2%)

series70.0ms (0.7%)

simplify390.0ms (3.9%)

rewrite387.0ms (3.9%)

eval150.0ms (1.5%)

prune142.0ms (1.4%)

simplify425.0ms (4.3%)

localize202.0ms (2%)

series31.0ms (0.3%)

simplify354.0ms (3.5%)

rewrite289.0ms (2.9%)

eval82.0ms (0.8%)

prune125.0ms (1.2%)

regimes113.0ms (1.1%)

regimes23.0ms (0.2%)

regimes19.0ms (0.2%)

regimes34.0ms (0.3%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes37.0ms (0.4%)

regimes13.0ms (0.1%)

regimes27.0ms (0.3%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

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%)

bsearch0.0ms (0%)

bsearch48.0ms (0.5%)

bsearch0.0ms (0%)

simplify16.0ms (0.2%)

soundness1.2s (11.9%)

preprocess67.0ms (0.7%)

end0.0ms (0%)

Profiling