Metrics for Octave 3.8, jcobi/1

analyze3.0ms (0%)

Memory

-35.1MiB live, 3.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample1.2s (11%)

Memory

35.3MiB live, 1 798.8MiB allocated

Samples

417.0ms	6 122×	0	valid
229.0ms	1 443×	1	valid
201.0ms	691×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 641.0ms

ival-add: 222.0ms (34.6% of total)

ival-div: 200.0ms (31.2% of total)

adjust: 71.0ms (11.1% of total)

ival-sub: 68.0ms (10.6% of total)

ival->: 52.0ms (8.1% of total)

exact: 14.0ms (2.2% of total)

ival-and: 10.0ms (1.6% of total)

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

Bogosity

preprocess408.0ms (3.8%)

Memory

4.0MiB live, 241.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

explain134.0ms (1.2%)

Memory

-29.7MiB live, 289.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`	cancellation	70	0

Confusion

	Predicted +	Predicted -
+	70	0
-	0	186

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	70	0	0
-	0	0	186

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	186
1	70

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms	376×	0	valid
17.0ms	96×	1	valid
9.0ms	40×	2	valid

Compiler

Compiled 130 to 44 computations (66.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-sub: 12.0ms (33.7% of total)

ival-add: 10.0ms (28% of total)

ival-div: 9.0ms (25.2% of total)

adjust: 4.0ms (11.2% of total)

exact: 1.0ms (2.8% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.9%	(/.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)

simplify149.0ms (1.4%)

Memory

17.2MiB live, 130.9MiB 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)

localize54.0ms (0.5%)

Memory

16.2MiB live, 57.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 alpha beta)
✓	accuracy	100.0%	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	accuracy	74.9%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

24.0ms	188×	0	valid
7.0ms	48×	1	valid
4.0ms	20×	2	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

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)

series23.0ms (0.2%)

Memory

-15.5MiB live, 22.0MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
10.0ms	beta	@	-inf	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	alpha	@	-inf	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	alpha	@	0	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	beta	@	0	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	alpha	@	inf	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)

simplify383.0ms (3.6%)

Memory

20.5MiB live, 643.1MiB 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)))))
(+ 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)))
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)))

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

rewrite383.0ms (3.6%)

Memory

42.6MiB live, 735.2MiB 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 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)

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

eval89.0ms (0.8%)

Memory: -5.9MiB live, 220.6MiB allocated
Compiler: Compiled 18 335 to 2 312 computations (87.4% saved)

prune108.0ms (1%)

Memory

-36.1MiB live, 273.0MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	578	11	589
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	579	11	590

Accuracy

100.0%

Counts

590 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.9%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	57.6%	(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	74.7%	(/.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))
	74.9%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	30.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)))
▶	73.1%	#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)))
▶	27.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha))
	28.3%	#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))
	29.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	49.1%	#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)))))
▶	38.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 340 to 220 computations (35.3% saved)

simplify505.0ms (4.7%)

Memory

7.4MiB live, 920.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) 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 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha))
✓	cost-diff	512	(fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta))
✓	cost-diff	0	(-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)
✓	cost-diff	0	(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)
✓	cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)))
✓	cost-diff	384	(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) 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 beta (+.f64 alpha #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 beta alpha)
✓	cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	0	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Rules

25 294×	`lower-fma.f32`
25 286×	`lower-fma.f64`
3 764×	`lower-*.f32`
3 762×	`lower-*.f64`
2 426×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	249
0	58	249
1	116	249
2	216	249
3	519	239
4	1552	230
5	6431	230
0	8225	223

Stop Event

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

Calls

Call 1

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

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

localize195.0ms (1.8%)

Memory

-2.4MiB live, 204.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
✓	accuracy	99.7%	(fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta))
✓	accuracy	98.8%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
✓	accuracy	27.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)
✓	accuracy	100.0%	(-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)
✓	accuracy	30.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) 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	73.1%	#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	38.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 alpha #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	74.9%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

74.0ms	186×	0	valid
60.0ms	49×	1	valid
15.0ms	21×	2	valid

Compiler

Compiled 215 to 36 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-sub: 79.0ms (62.6% of total)

ival-add: 15.0ms (11.9% of total)

ival-div: 14.0ms (11.1% of total)

ival-mult: 9.0ms (7.1% of total)

adjust: 8.0ms (6.3% of total)

exact: 1.0ms (0.8% of total)

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

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

series36.0ms (0.3%)

Memory

23.4MiB live, 60.3MiB allocated

Counts

18 → 372

Calls

Call 1

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

Outputs
#s(alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) (taylor inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) (taylor inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) (taylor inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) (taylor -inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) (taylor -inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) (taylor -inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1 beta) alpha) (taylor inf alpha) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) (taylor inf alpha) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) (taylor inf alpha) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) (taylor inf alpha) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 beta) alpha) (taylor -inf alpha) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) #<representation binary64>) () ())) ())
#s(alt (/ -4 alpha) (taylor 0 beta) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha))) (taylor 0 beta) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha))) (taylor 0 beta) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha))) (taylor 0 beta) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow beta 2) alpha)) (taylor inf beta) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))) (taylor inf beta) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))) (taylor inf beta) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))) (taylor inf beta) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow beta 2) alpha)) (taylor -inf beta) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))) (taylor -inf beta) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))) (taylor -inf beta) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))) (taylor -inf beta) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (taylor 0 alpha) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (taylor 0 alpha) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (taylor 0 alpha) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (taylor 0 alpha) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (taylor inf alpha) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (taylor inf alpha) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (taylor inf alpha) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (taylor inf alpha) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (taylor -inf alpha) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (taylor -inf alpha) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (taylor -inf alpha) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (taylor -inf alpha) (#s(alt (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (patch (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 alpha) (#s(alt (+.f64 alpha #s(literal 2 binary64)) (patch (+.f64 alpha #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 alpha) (taylor 0 alpha) (#s(alt (+.f64 alpha #s(literal 2 binary64)) (patch (+.f64 alpha #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 alpha) (taylor 0 alpha) (#s(alt (+.f64 alpha #s(literal 2 binary64)) (patch (+.f64 alpha #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 alpha) (taylor 0 alpha) (#s(alt (+.f64 alpha #s(literal 2 binary64)) (patch (+.f64 alpha #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt alpha (taylor inf alpha) (#s(alt (+.f64 alpha #s(literal 2 binary64)) (patch (+.f64 alpha #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (* 2 (/ 1 alpha)))) (taylor inf alpha) (#s(alt (+.f64 alpha #s(literal 2 binary64)) (patch (+.f64 alpha #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (* 2 (/ 1 alpha)))) (taylor inf alpha) (#s(alt (+.f64 alpha #s(literal 2 binary64)) (patch (+.f64 alpha #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (* 2 (/ 1 alpha)))) (taylor inf alpha) (#s(alt (+.f64 alpha #s(literal 2 binary64)) (patch (+.f64 alpha #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt alpha (taylor -inf alpha) (#s(alt (+.f64 alpha #s(literal 2 binary64)) (patch (+.f64 alpha #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (* 2 (/ 1 alpha)))) (taylor -inf alpha) (#s(alt (+.f64 alpha #s(literal 2 binary64)) (patch (+.f64 alpha #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (* 2 (/ 1 alpha)))) (taylor -inf alpha) (#s(alt (+.f64 alpha #s(literal 2 binary64)) (patch (+.f64 alpha #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (* 2 (/ 1 alpha)))) (taylor -inf alpha) (#s(alt (+.f64 alpha #s(literal 2 binary64)) (patch (+.f64 alpha #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

93 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	0	(* (- (- -2 beta) beta) (/ (+ 2 beta) alpha))
2.0ms	beta	@	-inf	(+ (* 1/2 (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha))) (+ 1 beta))
1.0ms	alpha	@	inf	(+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2)
1.0ms	beta	@	inf	(+ (* 1/2 (/ beta (+ 2 beta))) 1/2)
1.0ms	alpha	@	0	(+ (* 1/2 (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha))) (+ 1 beta))

simplify430.0ms (4%)

Memory

17.6MiB live, 557.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 054×	`lower-fma.f64`
8 054×	`lower-fma.f32`
4 918×	`lower-*.f64`
4 918×	`lower-*.f32`
3 620×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	631	6673
1	1973	6222
2	6070	5985
0	8320	5662

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 361

Calls

Call 1

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

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

rewrite366.0ms (3.4%)

Memory

-26.1MiB live, 565.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 910×	`lower-*.f32`
5 908×	`lower-*.f64`
3 780×	`lower-/.f32`
3 770×	`lower-/.f64`
3 754×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	208
0	58	204
1	324	204
2	2848	204
0	8675	204

Stop Event

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

Counts

18 → 496

Calls

Call 1

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

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

eval242.0ms (2.3%)

Memory: -10.7MiB live, 268.4MiB allocated
Compiler: Compiled 23 098 to 2 357 computations (89.8% saved)

prune143.0ms (1.3%)

Memory

25.8MiB live, 377.9MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	868	16	884
Fresh	4	2	6
Picked	2	3	5
Done	0	0	0
Total	874	21	895

Accuracy

100.0%

Counts

895 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.9%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	53.9%	(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
▶	74.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	49.1%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	3.7%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	57.6%	(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
	73.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	33.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (- -2 alpha) alpha) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64)))
✓	73.1%	#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)))
	28.3%	#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))
	29.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
	22.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
	30.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)))
▶	27.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (+.f64 beta #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) alpha)))
▶	30.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
	45.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
	43.9%	#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))))
	45.1%	#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))))
▶	48.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
✓	38.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	25.3%	#s(approx (+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (.f64 alpha alpha)))) (.f64 #s(literal 1/2 binary64) (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 alpha)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha))

Compiler

Compiled 655 to 363 computations (44.6% saved)

simplify512.0ms (4.8%)

Memory

-6.6MiB live, 829.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (+.f64 beta #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) alpha)))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))
✓	cost-diff	320	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (+.f64 beta #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) alpha))
✓	cost-diff	384	(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (+.f64 beta #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 #s(literal -2 binary64) alpha)
✓	cost-diff	0	(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
✓	cost-diff	0	#s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
✓	cost-diff	0	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	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 (/ (- (- -2 alpha) alpha) 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 (/ (- (- -2 alpha) alpha) 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	0	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))
✓	cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))

Rules

20 858×	`lower-fma.f32`
20 852×	`lower-fma.f64`
3 676×	`lower-*.f32`
3 672×	`lower-*.f64`
2 182×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	295
0	74	294
1	141	290
2	269	287
3	753	275
4	2490	267
5	7408	267
0	8623	260

Stop Event

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

Calls

Call 1

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

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

localize163.0ms (1.5%)

Memory

27.5MiB live, 369.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)
✓	accuracy	99.9%	(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (+.f64 beta #s(literal 1 binary64)))
✓	accuracy	98.6%	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (+.f64 beta #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) alpha))
✓	accuracy	27.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (+.f64 beta #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) alpha)))
✓	accuracy	100.0%	(-.f64 #s(literal -2 binary64) alpha)
✓	accuracy	100.0%	(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
✓	accuracy	74.9%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	accuracy	51.7%	#s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) 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	73.0%	#s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
✓	accuracy	30.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
✓	accuracy	73.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
✓	accuracy	69.5%	#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))
✓	accuracy	74.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

56.0ms	186×	0	valid
30.0ms	49×	1	valid
27.0ms	21×	2	valid

Compiler

Compiled 230 to 46 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-div: 26.0ms (31.1% of total)

ival-add: 24.0ms (28.7% of total)

adjust: 14.0ms (16.7% of total)

ival-mult: 14.0ms (16.7% of total)

ival-sub: 6.0ms (7.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series30.0ms (0.3%)

Memory

-7.2MiB live, 75.1MiB allocated

Counts

19 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	0	(/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha)))
1.0ms	alpha	@	inf	(* 1/2 (/ (+ beta 2) alpha))
1.0ms	alpha	@	0	(* 1/2 (/ (+ beta 2) alpha))
0.0ms	beta	@	0	(/ (+ beta (+ alpha 2)) (- beta alpha))
0.0ms	alpha	@	0	(/ (+ beta (+ alpha 2)) (- beta alpha))

simplify532.0ms (5%)

Memory

-4.5MiB live, 569.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 174×	`lower-fma.f64`
8 174×	`lower-fma.f32`
4 580×	`lower-+.f64`
4 580×	`lower-+.f32`
4 358×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	718	7557
1	2250	7072
2	7101	6897
0	8167	6489

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 392

Calls

Call 1

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

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

rewrite346.0ms (3.2%)

Memory

-5.2MiB live, 513.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 246×	`lower-/.f32`
4 234×	`lower-/.f64`
3 182×	`lower-*.f32`
3 178×	`lower-*.f64`
2 834×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	254
0	74	243
1	406	243
2	3572	228
0	9181	220

Stop Event

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

Counts

19 → 572

Calls

Call 1

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

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

eval180.0ms (1.7%)

Memory: 3.1MiB live, 267.2MiB allocated
Compiler: Compiled 24 504 to 2 576 computations (89.5% saved)

prune225.0ms (2.1%)

Memory

3.3MiB live, 372.2MiB allocated

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	960	4	964
Fresh	1	12	13
Picked	1	4	5
Done	0	3	3
Total	962	23	985

Accuracy

100.0%

Counts

985 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.9%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	53.9%	(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
✓	74.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	49.1%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	47.4%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	46.5%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	3.7%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	57.6%	(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	73.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)))
▶	33.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (- -2 alpha) alpha) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64)))
✓	73.1%	#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)))
	28.3%	#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))
▶	29.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
	22.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
	30.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)))
	22.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 #s(approx (+ ( (* 1/2 (/ (+ beta 2) alpha)) (- -2 (+ beta beta))) (+ beta 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) alpha)))
✓	30.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
	45.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
	43.9%	#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))))
▶	45.1%	#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))))
✓	48.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
✓	38.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	25.3%	#s(approx (+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (.f64 alpha alpha)))) (.f64 #s(literal 1/2 binary64) (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 alpha)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha))

Compiler

Compiled 642 to 350 computations (45.5% saved)

simplify401.0ms (3.7%)

Memory

14.2MiB live, 562.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
✓	cost-diff	512	(-.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
✓	cost-diff	0	#s(approx (- (- -2 alpha) alpha) (*.f64 alpha #s(literal -2 binary64)))
✓	cost-diff	0	(/.f64 #s(approx (- (- -2 alpha) alpha) (*.f64 alpha #s(literal -2 binary64))) beta)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (- -2 alpha) alpha) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (- -2 alpha) alpha) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 beta #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
✓	cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
✓	cost-diff	0	(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #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) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 beta #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)))
✓	cost-diff	320	(fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))

Rules

11 976×	`lower-fma.f32`
11 964×	`lower-fma.f64`
4 336×	`lower-+.f32`
4 330×	`lower-+.f64`
4 132×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	313
0	72	298
1	139	296
2	319	290
3	1072	290
4	6748	290
0	8587	280

Stop Event

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

Calls

Call 1

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

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

localize191.0ms (1.8%)

Memory

14.7MiB live, 363.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
✓	accuracy	99.9%	(fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))
✓	accuracy	89.7%	(/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))
✓	accuracy	57.7%	(fma.f64 (/.f64 (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (- -2 alpha) alpha) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(approx (- (- -2 alpha) alpha) (*.f64 alpha #s(literal -2 binary64))) beta)
✓	accuracy	35.7%	#s(approx (- (- -2 alpha) alpha) (*.f64 alpha #s(literal -2 binary64)))
✓	accuracy	30.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (- -2 alpha) alpha) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 beta #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
✓	accuracy	29.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
✓	accuracy	100.0%	(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	accuracy	73.1%	#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	65.7%	#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 beta #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))
✓	accuracy	73.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)))

Samples

66.0ms	187×	0	valid
49.0ms	49×	1	valid
22.0ms	20×	2	valid

Compiler

Compiled 261 to 47 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 36.0ms (34.7% of total)

ival-sub: 25.0ms (24.1% of total)

ival-add: 19.0ms (18.3% of total)

ival-div: 13.0ms (12.5% of total)

adjust: 10.0ms (9.6% of total)

exact: 1.0ms (1% of total)

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

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

series91.0ms (0.8%)

Memory

-53.6MiB live, 91.1MiB allocated

Counts

19 → 372

Calls

Call 1

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

Outputs
#s(alt 1/2 (taylor 0 beta) (#s(alt (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/4 beta)) (taylor 0 beta) (#s(alt (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) (taylor 0 beta) (#s(alt (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) (taylor 0 beta) (#s(alt (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf beta) (#s(alt (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ 1 beta)) (taylor inf beta) (#s(alt (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) (taylor inf beta) (#s(alt (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) (taylor inf beta) (#s(alt (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf beta) (#s(alt (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ 1 beta)) (taylor -inf beta) (#s(alt (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) (taylor -inf beta) (#s(alt (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (* 8 (/ 1 (pow alpha 3))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3))))))))) (taylor inf alpha) (#s(alt (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) (patch (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow alpha 3) (taylor -inf alpha) (#s(alt (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) (patch (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1))) (taylor -inf alpha) (#s(alt (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) (patch (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1))) (taylor -inf alpha) (#s(alt (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) (patch (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (+ 8 (pow beta 3)) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1))) (taylor -inf alpha) (#s(alt (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) (patch (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) #<representation binary64>) () ())) ())

Calls

93 calls:

Time	Variable		Point	Expression
12.0ms	beta	@	-inf	(* beta 1/2)
5.0ms	alpha	@	-inf	(- (+ (* (+ beta alpha) (+ beta alpha)) 4) (* 2 (+ beta alpha)))
4.0ms	beta	@	0	(+ (* (/ (* (- beta alpha) 1/2) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (- (+ (* (+ beta alpha) (+ beta alpha)) 4) (* 2 (+ beta alpha)))) 1/2)
3.0ms	alpha	@	-inf	(/ (* (- beta alpha) 1/2) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8))
2.0ms	alpha	@	0	(+ (* (/ (* (- beta alpha) 1/2) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (- (+ (* (+ beta alpha) (+ beta alpha)) 4) (* 2 (+ beta alpha)))) 1/2)

simplify402.0ms (3.7%)

Memory

8.4MiB live, 762.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 842×	`lower-fma.f64`
6 842×	`lower-fma.f32`
6 680×	`lower-*.f64`
6 680×	`lower-*.f32`
5 746×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1005	9640
1	3291	9021
0	8055	8546

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 370

Calls

Call 1

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

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

rewrite346.0ms (3.2%)

Memory

21.5MiB live, 498.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 158×	`lower-*.f32`
6 148×	`lower-*.f64`
4 152×	`lower-/.f32`
4 144×	`lower-/.f64`
2 664×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	260
0	72	241
1	382	228
2	3122	228
0	9599	222

Stop Event

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

Counts

19 → 378

Calls

Call 1

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

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

eval191.0ms (1.8%)

Memory: -6.1MiB live, 180.4MiB allocated
Compiler: Compiled 31 594 to 2 166 computations (93.1% saved)

prune181.0ms (1.7%)

Memory

26.5MiB live, 229.3MiB allocated

Pruning

24 alts after pruning (15 fresh and 9 done)

	Pruned	Kept	Total
New	741	7	748
Fresh	3	8	11
Picked	2	3	5
Done	1	6	7
Total	747	24	771

Accuracy

100.0%

Counts

771 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.9%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	74.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	49.1%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	47.4%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	46.5%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	3.7%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	2.1%	(fma.f64 #s(approx (/ (* (- beta alpha) 1/2) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (/.f64 #s(literal -1/2 binary64) (.f64 alpha alpha))) (-.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
	73.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) beta #s(literal 1/2 binary64)))
✓	33.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (- -2 alpha) alpha) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64)))
	28.3%	#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))
✓	29.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
	22.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
	23.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
	30.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)))
	22.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 #s(approx (+ ( (* 1/2 (/ (+ beta 2) alpha)) (- -2 (+ beta beta))) (+ beta 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) alpha)))
	10.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
	45.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (* beta 1/2) (/ 1 (+ beta 2))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
	43.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (* beta 1/2) (/ 1 (+ beta 2))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
✓	30.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
✓	45.1%	#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))))
	4.8%	#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 #s(literal 1/4 binary64) beta))))
✓	48.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
✓	38.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	25.3%	#s(approx (+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (.f64 alpha alpha)))) (.f64 #s(literal 1/2 binary64) (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 alpha)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha))

Compiler

Compiled 823 to 316 computations (61.6% saved)

regimes101.0ms (0.9%)

Memory

3.9MiB live, 83.0MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

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

41.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
28.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
11.0ms	alpha
11.0ms	beta
9.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
94.2%	2	`alpha`
74.9%	1	`beta`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes25.0ms (0.2%)

Memory

-3.8MiB live, 34.5MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

8.0ms

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

7.0ms

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

7.0ms

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

Results

Accuracy	Segments	Branch
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes45.0ms (0.4%)

Memory

-16.7MiB live, 21.9MiB 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 #s(literal 1/4 binary64) beta))))
#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))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ 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 (+ (* (* beta 1/2) (/ 1 (+ beta 2))) 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 (/ (- (- -2 alpha) alpha) 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))
#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(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (* beta 1/2) (/ 1 (+ beta 2))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) beta #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (- -2 alpha) alpha) (*.f64 alpha #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 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 #s(approx (+ ( (* 1/2 (/ (+ beta 2) alpha)) (- -2 (+ beta beta))) (+ beta 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) alpha)))
(/.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))

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:

29.0ms

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

7.0ms

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

7.0ms

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

Results

Accuracy	Segments	Branch
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes23.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

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

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

Calls

3 calls:

7.0ms

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

7.0ms

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

7.0ms

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

Results

Accuracy	Segments	Branch
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes76.0ms (0.7%)

Memory

-35.6MiB live, 17.0MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

61.0ms

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

7.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.4%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.4%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

#s(approx (/ (+ (/ (- 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)))

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.4%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.4%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes32.0ms (0.3%)

Memory

-20.5MiB live, 18.0MiB 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 #s(literal 1/4 binary64) beta))))
#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))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ 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 (+ (* (* beta 1/2) (/ 1 (+ beta 2))) 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 (/ (- (- -2 alpha) alpha) 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))
#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(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Outputs

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

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

Calls

3 calls:

23.0ms

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

4.0ms

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

4.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

14 → 3

Calls

Call 1

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
97.6%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.6%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.6%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes30.0ms (0.3%)

Memory

-2.3MiB live, 35.0MiB 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 #s(literal 1/4 binary64) beta))))
#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))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ 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 (+ (* (* beta 1/2) (/ 1 (+ beta 2))) 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 (/ (- (- -2 alpha) alpha) 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 (+ beta 1) #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 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))

Calls

4 calls:

18.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
4.0ms	alpha
3.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
3.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
68.7%	3	`alpha`
91.3%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
91.3%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.3%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

-8.3MiB live, 30.0MiB 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 #s(literal 1/4 binary64) beta))))
#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))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ 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 (+ (* (* beta 1/2) (/ 1 (+ beta 2))) 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 (+ beta 1) #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:

7.0ms

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

4.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
91.3%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
91.3%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.3%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes25.0ms (0.2%)

Memory

-20.6MiB live, 22.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

19.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
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 39 to 26 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB 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 #s(literal 1/4 binary64) beta))))
#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))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 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

4 calls:

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

Results

Accuracy	Segments	Branch
72.0%	2	`beta`
77.7%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
77.7%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
77.7%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

4 calls:

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

Results

Accuracy	Segments	Branch
72.0%	2	`beta`
71.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
71.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
71.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes35.0ms (0.3%)

Memory

-20.1MiB live, 19.2MiB 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 #s(literal 1/4 binary64) beta))))

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:

29.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms	beta
2.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
71.3%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
71.3%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
71.3%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
71.3%	2	`beta`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	beta
1.0ms	alpha
1.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms	(+.f64 (/.f64 (-.f64 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
38.0%	1	`alpha`
38.0%	1	`beta`
38.0%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
38.0%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
38.0%	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

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999967613083953	-3.06303523003562e-12

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999775412	-0.9999967613083953

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999775412	-0.9999967613083953

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999775412	-0.9999967613083953

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999967613083953	-3.06303523003562e-12

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999967613083953	-3.06303523003562e-12

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.4840352161394905	0.9639942323512879
0.0ms	-0.9999967613083953	-3.06303523003562e-12

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	0.4840352161394905	0.9639942323512879
0.0ms	-0.9999967613083953	-3.06303523003562e-12

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	0.4840352161394905	0.9639942323512879
0.0ms	-0.9999967613083953	-3.06303523003562e-12

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.4840352161394905	0.9639942323512879
0.0ms	-0.9999967613083953	-3.06303523003562e-12

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	0.4840352161394905	0.9639942323512879
0.0ms	-0.9999967613083953	-3.06303523003562e-12

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	0.4840352161394905	0.9639942323512879
0.0ms	-0.9999967613083953	-3.06303523003562e-12

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	0.4840352161394905	0.9639942323512879
0.0ms	-1.0	-0.9999999999999998

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch42.0ms (0.4%)

Memory

-7.7MiB live, 28.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	1.876233538722863	53.54665628887198

Samples

29.0ms	12×	2	valid
4.0ms	71×	0	valid
3.0ms	29×	1	valid

Compiler

Compiled 116 to 85 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 29.0ms (87.4% of total)

ival-add: 2.0ms (6% of total)

adjust: 1.0ms (3% of total)

ival-sub: 1.0ms (3% 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

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4840352161394905	0.9639942323512879

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify35.0ms (0.3%)

Memory

-13.1MiB live, 26.2MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative_binary64`
16×	`sub-neg_binary64`
8×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	1085
1	137	1085
2	150	1085
3	158	1085
4	161	1085

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) 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 -9007181240342483/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007181240342483/9007199254740992 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 -9007181240342483/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #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 -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #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 -1/2 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 1/2 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 (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) 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 1/2 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) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) 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 1/2 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 (/ (- (- -2 alpha) alpha) 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 (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ 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 (/ (- (- -2 alpha) alpha) 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 (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ 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 (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ 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 1/2 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 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 1/2 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 (/ (+ (/ (- 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 -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) 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 -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) 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 -9007181240342483/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -9007181240342483/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007181240342483/9007199254740992 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 -9007181240342483/9007199254740992 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 -9007181240342483/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -9007181240342483/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #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 -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #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 -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #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 -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #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 -1/2 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 1/2 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 (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) 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 1/2 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 (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) 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 1/2 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) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) 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 1/2 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) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) 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 1/2 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 (/ (- (- -2 alpha) alpha) 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 1/2 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 (/ (- (- -2 alpha) alpha) 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 (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ 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 (/ (- (- -2 alpha) alpha) 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 (+ beta 1) #s(literal 1 binary64)) alpha)) (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) #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 (/ (- (- -2 alpha) alpha) 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 (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ 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 (+ beta 1) #s(literal 1 binary64)) alpha)) (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) #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 (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ 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 (+ beta 1) #s(literal 1 binary64)) alpha)) (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) #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 1/2 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 #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 1/2 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 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 1/2 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 (/ (+ (/ (- 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) #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))

soundness1.4s (12.7%)

Memory

9.4MiB live, 1 138.2MiB allocated

Rules

9 688×	`lower-fma.f64`
9 688×	`lower-fma.f32`
8 054×	`lower-fma.f64`
8 054×	`lower-fma.f32`
6 842×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	631	6673
1	1973	6222
2	6070	5985
0	8320	5662
0	1005	9640
1	3291	9021
0	8055	8546
0	10	44
0	16	44
1	91	44
2	748	44
0	9057	43
0	433	2500
1	1394	2354
2	4563	2155
0	8642	2014
0	47	260
0	72	241
1	382	228
2	3122	228
0	9599	222
0	35	208
0	58	204
1	324	204
2	2848	204
0	8675	204

Stop Event

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

Compiler

Compiled 1 038 to 423 computations (59.2% saved)

preprocess200.0ms (1.9%)

Memory: 2.1MiB live, 197.1MiB allocated
Compiler: Compiled 1 086 to 176 computations (83.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

sample1.2s (11%)

preprocess408.0ms (3.8%)

explain134.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify149.0ms (1.4%)

localize54.0ms (0.5%)

series23.0ms (0.2%)

simplify383.0ms (3.6%)

rewrite383.0ms (3.6%)

eval89.0ms (0.8%)

prune108.0ms (1%)

simplify505.0ms (4.7%)

localize195.0ms (1.8%)

series36.0ms (0.3%)

simplify430.0ms (4%)

rewrite366.0ms (3.4%)

eval242.0ms (2.3%)

prune143.0ms (1.3%)

simplify512.0ms (4.8%)

localize163.0ms (1.5%)

series30.0ms (0.3%)

simplify532.0ms (5%)

rewrite346.0ms (3.2%)

eval180.0ms (1.7%)

prune225.0ms (2.1%)

simplify401.0ms (3.7%)

localize191.0ms (1.8%)

series91.0ms (0.8%)

simplify402.0ms (3.7%)

rewrite346.0ms (3.2%)

eval191.0ms (1.8%)

prune181.0ms (1.7%)

regimes101.0ms (0.9%)

regimes25.0ms (0.2%)

regimes45.0ms (0.4%)

regimes23.0ms (0.2%)

regimes76.0ms (0.7%)

regimes16.0ms (0.2%)

regimes15.0ms (0.1%)

regimes32.0ms (0.3%)

regimes13.0ms (0.1%)

regimes30.0ms (0.3%)

regimes15.0ms (0.1%)

regimes25.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes35.0ms (0.3%)

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%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch42.0ms (0.4%)

bsearch0.0ms (0%)

simplify35.0ms (0.3%)

soundness1.4s (12.7%)

preprocess200.0ms (1.9%)

end0.0ms (0%)

Profiling