Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample1.2s (14.6%)

Memory

58.1MiB live, 1 760.1MiB allocated

Samples

515.0ms	6 077×	0	valid
232.0ms	1 470×	1	valid
174.0ms	709×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 648.0ms

ival-add: 219.0ms (33.8% of total)

ival-div: 214.0ms (33% of total)

adjust: 75.0ms (11.6% of total)

ival-sub: 68.0ms (10.5% of total)

ival->: 46.0ms (7.1% of total)

exact: 13.0ms (2% of total)

ival-and: 10.0ms (1.5% of total)

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

Bogosity

explain168.0ms (2%)

Memory

-2.0MiB live, 197.4MiB 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

34.0ms	374×	0	valid
15.0ms	104×	1	valid
7.0ms	34×	2	valid

Compiler

Compiled 115 to 34 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 20.0ms (50.9% of total)

ival-add: 10.0ms (25.5% of total)

adjust: 4.0ms (10.2% of total)

ival-sub: 3.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess352.0ms (4.2%)

Memory

29.9MiB live, 150.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.8%	(/.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)

simplify108.0ms (1.3%)

Memory

-12.3MiB live, 59.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize48.0ms (0.6%)

Memory

11.0MiB live, 47.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0	(+.f64 alpha beta)
accuracy	0.03125	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	16.096790968933664	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

31.0ms	187×	0	valid
7.0ms	52×	1	valid
4.0ms	17×	2	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-div: 24.0ms (73.1% of total)

ival-add: 4.0ms (12.2% of total)

adjust: 2.0ms (6.1% of total)

ival-sub: 2.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

6 calls:

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

simplify183.0ms (2.2%)

Memory

-24.6MiB live, 252.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2500
1	1394	2354
2	4567	2155
0	8651	2014

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 131

Calls

Call 1

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

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

rewrite253.0ms (3%)

Memory

-5.0MiB live, 306.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 458

Calls

Call 1

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

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

eval120.0ms (1.4%)

Memory: 1.5MiB live, 196.3MiB allocated
Compiler: Compiled 18 305 to 2 295 computations (87.5% saved)

prune99.0ms (1.2%)

Memory

-16.6MiB live, 247.2MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

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

Accuracy

99.9%

Counts

590 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.8%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	74.3%	(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	28.9%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (+.f64 (fma.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))))) alpha)) #s(literal 2 binary64))
	29.3%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha)) #s(literal 2 binary64))
▶	27.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶	73.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	25.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
▶	27.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
	29.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
	27.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) #s(literal -1/2 binary64)) alpha))
	51.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
▶	35.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 422 to 242 computations (42.7% saved)

simplify138.0ms (1.6%)

Memory

-9.7MiB live, 181.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha))
cost-diff	0	(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
cost-diff	576	(fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64)))
cost-diff	0	(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
cost-diff	0	(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	384	(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(-.f64 beta #s(literal -2 binary64))
cost-diff	0	(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
cost-diff	0	(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
cost-diff	0	(-.f64 alpha beta)
cost-diff	0	(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
cost-diff	0	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Rules

13 834×	`lower-fma.f32`
13 824×	`lower-fma.f64`
3 676×	`lower-*.f32`
3 674×	`lower-*.f64`
1 996×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	243
0	57	243
1	112	243
2	214	243
3	478	241
4	1307	230
5	4286	224
0	8218	221

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (1.6%)

Memory

10.9MiB live, 168.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(+.f64 (-.f64 beta #s(literal -2 binary64)) beta)
accuracy	0.078125	(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha))
accuracy	1.0549216570900206	(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)
accuracy	46.21178661847934	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
accuracy	0	(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	0	(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
accuracy	0.015625	(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
accuracy	46.14520167899908	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	0	(-.f64 beta #s(literal -2 binary64))
accuracy	0.00390625	(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.02734375	(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
accuracy	17.06812005049156	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	41.10077869393514	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
accuracy	0	(+.f64 alpha beta)
accuracy	0.03125	(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
accuracy	16.09527467187065	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

72.0ms	187×	0	valid
28.0ms	52×	1	valid
11.0ms	17×	2	valid

Compiler

Compiled 213 to 36 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-sub: 29.0ms (32.8% of total)

ival-add: 28.0ms (31.6% of total)

ival-div: 13.0ms (14.7% of total)

ival-mult: 10.0ms (11.3% of total)

adjust: 7.0ms (7.9% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory

1.8MiB live, 75.2MiB allocated

Counts

19 → 396

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	beta	@	inf	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (+ alpha beta) (+ (- beta -2) beta))
5.0ms	beta	@	0	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (+ alpha beta) (+ (- beta -2) beta))
5.0ms	beta	@	-inf	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (+ alpha beta) (+ (- beta -2) beta))
3.0ms	alpha	@	inf	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (+ alpha beta) (+ (- beta -2) beta))
3.0ms	alpha	@	0	((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (+ alpha beta) (+ (- beta -2) beta))

simplify279.0ms (3.3%)

Memory

-22.4MiB live, 225.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 996×	`lower-fma.f64`
7 996×	`lower-fma.f32`
5 058×	`lower-*.f64`
5 058×	`lower-*.f32`
3 616×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	669	6800
1	2088	6331
2	6473	6200
0	8253	5830

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 385

Calls

Call 1

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

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

rewrite256.0ms (3%)

Memory

37.3MiB live, 228.7MiB allocated

Rules

5 670×	`lower-*.f32`
5 668×	`lower-*.f64`
3 664×	`lower-fma.f32`
3 654×	`lower-fma.f64`
3 592×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	209
0	57	209
1	308	209
2	2760	209
0	8153	209

Stop Event

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

Counts

19 → 446

Calls

Call 1

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

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

eval188.0ms (2.2%)

Memory: -7.6MiB live, 150.1MiB allocated
Compiler: Compiled 21 678 to 2 263 computations (89.6% saved)

prune241.0ms (2.9%)

Memory

-14.2MiB live, 234.6MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	844	16	860
Fresh	4	3	7
Picked	2	3	5
Done	0	0	0
Total	850	22	872

Accuracy

100.0%

Counts

872 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.8%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	72.6%	(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	74.3%	(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	51.2%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	3.6%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	28.9%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (+.f64 (fma.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))))) alpha)) #s(literal 2 binary64))
	31.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	73.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	25.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
▶	28.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(approx (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (/.f64 #s(literal -4 binary64) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
	29.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
	21.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
	24.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) (+.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64))) alpha) beta) #s(literal 1 binary64))) alpha))
▶	29.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)))
	27.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))))
	13.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) (*.f64 alpha alpha))))
▶	28.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
	47.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
	46.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
	48.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
▶	51.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	35.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 603 to 351 computations (41.8% saved)

simplify208.0ms (2.5%)

Memory

9.2MiB live, 166.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (/.f64 #s(literal -4 binary64) alpha))
cost-diff	0	(fma.f64 #s(approx (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (/.f64 #s(literal -4 binary64) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64)))
cost-diff	0	(/.f64 (fma.f64 #s(approx (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (/.f64 #s(literal -4 binary64) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(approx (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (/.f64 #s(literal -4 binary64) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
cost-diff	0	(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
cost-diff	0	(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)))
cost-diff	512	(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
cost-diff	0	#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))
cost-diff	0	(/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
cost-diff	0	(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	1024	(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)

Rules

17 558×	`lower-fma.f32`
17 554×	`lower-fma.f64`
4 342×	`lower-*.f32`
4 338×	`lower-*.f64`
1 760×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	326
0	72	326
1	137	322
2	249	322
3	494	312
4	1054	294
5	4692	294
0	8208	286

Stop Event

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

Calls

Call 1

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

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

localize188.0ms (2.2%)

Memory

2.3MiB live, 158.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 #s(approx (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (/.f64 #s(literal -4 binary64) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64)))
accuracy	1.0549216570900206	(/.f64 (fma.f64 #s(approx (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (/.f64 #s(literal -4 binary64) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)
accuracy	21.093694544121536	#s(approx (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (/.f64 #s(literal -4 binary64) alpha))
accuracy	45.963413364844705	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(approx (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (/.f64 #s(literal -4 binary64) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
accuracy	0	(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64))
accuracy	0.01953125	(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)
accuracy	0.03515625	(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
accuracy	45.01852747493315	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) beta)
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
accuracy	17.19234402702886	#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
accuracy	45.89745973708964	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
accuracy	17.06812005049156	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
accuracy	18.09716129521389	#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))
accuracy	0	#s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))
accuracy	0.02734375	(/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
accuracy	6.624786609133679	(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
accuracy	16.09527467187065	(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

76.0ms	187×	0	valid
52.0ms	52×	1	valid
33.0ms	16×	2	valid
1.0ms	1×	5	exit

Compiler

Compiled 224 to 47 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

adjust: 29.0ms (28.9% of total)

ival-add: 24.0ms (24% of total)

ival-div: 21.0ms (21% of total)

ival-mult: 14.0ms (14% of total)

ival-sub: 11.0ms (11% of total)

exact: 1.0ms (1% of total)

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

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

series43.0ms (0.5%)

Memory

-7.7MiB live, 30.7MiB allocated

Counts

18 → 384

Calls

Call 1

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

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

Calls

6 calls:

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

simplify186.0ms (2.2%)

Memory

8.1MiB live, 199.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 512×	`lower-fma.f64`
7 512×	`lower-fma.f32`
5 238×	`lower-*.f64`
5 238×	`lower-*.f32`
3 286×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	613	6744
1	1908	6226
2	5998	6088
0	8377	5744

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 378

Calls

Call 1

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

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

rewrite294.0ms (3.5%)

Memory

-12.8MiB live, 347.6MiB allocated

Rules

6 372×	`lower-*.f32`
6 368×	`lower-*.f64`
4 368×	`lower-/.f32`
4 356×	`lower-/.f64`
2 656×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	284
0	72	284
1	380	280
2	3340	280
0	9785	274

Stop Event

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

Counts

18 → 282

Calls

Call 1

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

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

eval87.0ms (1%)

Memory: 28.0MiB live, 262.9MiB allocated
Compiler: Compiled 15 005 to 1 475 computations (90.2% saved)

prune134.0ms (1.6%)

Memory

17.8MiB live, 335.1MiB allocated

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	655	5	660
Fresh	1	13	14
Picked	1	4	5
Done	0	3	3
Total	657	25	682

Accuracy

100.0%

Counts

682 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.8%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	72.6%	(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	74.3%	(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	51.2%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	3.6%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	74.1%	(/.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) #s(literal 1/2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
	28.9%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (+.f64 (fma.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))))) alpha)) #s(literal 2 binary64))
▶	74.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))) (fma.f64 (.f64 (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
▶	31.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	73.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	25.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
	28.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(approx (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (/.f64 #s(literal -4 binary64) alpha)) #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) alpha))
	29.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
	21.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
✓	29.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)))
	27.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))))
▶	13.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) (*.f64 alpha alpha))))
✓	28.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
	47.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
▶	46.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
▶	48.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
✓	51.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
	10.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 beta alpha)))
	22.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha)))
✓	35.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 946 to 403 computations (57.4% saved)

simplify148.0ms (1.7%)

Memory

12.0MiB live, 240.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) (*.f64 alpha alpha))
cost-diff	0	#s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) (*.f64 alpha alpha)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) (*.f64 alpha alpha))))
cost-diff	256	(fma.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha))
cost-diff	0	#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
cost-diff	0	(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
cost-diff	0	(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
cost-diff	0	(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
cost-diff	384	(.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))) (fma.f64 (.f64 (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
cost-diff	1024	(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
cost-diff	1216	(fma.f64 (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))))

Rules

11 002×	`lower-fma.f32`
10 986×	`lower-fma.f64`
4 488×	`lower-+.f32`
4 486×	`lower-+.f64`
3 800×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	840
0	100	840
1	192	704
2	419	651
3	1033	649
4	3332	573
0	8146	554

Stop Event

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

Calls

Call 1

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

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

localize279.0ms (3.3%)

Memory

-47.6MiB live, 562.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) (*.f64 alpha alpha)))
accuracy	2.249975228450042	(fma.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha))
accuracy	11.53354623345395	(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) (*.f64 alpha alpha))
accuracy	45.963413364844705	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) (*.f64 alpha alpha))))
accuracy	0	(*.f64 #s(literal -2 binary64) alpha)
accuracy	0.015625	(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta)
accuracy	40.88705809380998	#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha))
accuracy	45.89745973708964	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	0	(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
accuracy	0	(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))
accuracy	17.06812005049156	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
accuracy	21.087521215811286	#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
accuracy	0	(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
accuracy	17.06812005049156	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
accuracy	20.330366632015334	#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))
accuracy	0.05859375	(.f64 (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
accuracy	6.624786609133679	(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
accuracy	15.254283189854723	(-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))
accuracy	16.062437167129467	(fma.f64 (.f64 (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))

Samples

106.0ms	101×	1	valid
45.0ms	125×	0	valid
33.0ms	29×	2	valid
2.0ms	1×	5	exit

Compiler

Compiled 517 to 66 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-div: 52.0ms (33.9% of total)

ival-mult: 34.0ms (22.2% of total)

ival-add: 29.0ms (18.9% of total)

adjust: 24.0ms (15.7% of total)

ival-sub: 14.0ms (9.1% of total)

exact: 1.0ms (0.7% of total)

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

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

series114.0ms (1.3%)

Memory

23.1MiB live, 267.4MiB allocated

Counts

23 → 468

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
19.0ms	beta	@	0	((+ (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/4) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4))) (* (- (/ alpha beta) 1) beta) (/ 1 (/ (+ (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/4) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4))) (+ (* (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/8) 1/8))) (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/ (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (* alpha alpha)) (+ (* (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/8) 1/8) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4)) (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (* -2 alpha))
14.0ms	alpha	@	0	((+ (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/4) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4))) (* (- (/ alpha beta) 1) beta) (/ 1 (/ (+ (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/4) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4))) (+ (* (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/8) 1/8))) (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/ (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (* alpha alpha)) (+ (* (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/8) 1/8) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4)) (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (* -2 alpha))
12.0ms	beta	@	-inf	((+ (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/4) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4))) (* (- (/ alpha beta) 1) beta) (/ 1 (/ (+ (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/4) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4))) (+ (* (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/8) 1/8))) (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/ (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (* alpha alpha)) (+ (* (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/8) 1/8) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4)) (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (* -2 alpha))
10.0ms	alpha	@	inf	((+ (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/4) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4))) (* (- (/ alpha beta) 1) beta) (/ 1 (/ (+ (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/4) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4))) (+ (* (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/8) 1/8))) (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/ (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (* alpha alpha)) (+ (* (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/8) 1/8) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4)) (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (* -2 alpha))
10.0ms	alpha	@	-inf	((+ (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/4) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4))) (* (- (/ alpha beta) 1) beta) (/ 1 (/ (+ (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/4) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4))) (+ (* (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/8) 1/8))) (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/ (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (* alpha alpha)) (+ (* (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/8) 1/8) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4)) (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (* -2 alpha))

simplify230.0ms (2.7%)

Memory

11.4MiB live, 361.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 394×	`lower-fma.f64`
5 394×	`lower-fma.f32`
5 260×	`lower-*.f64`
5 260×	`lower-*.f32`
4 380×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1543	23345
1	5011	22894
0	8107	21307

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 465

Calls

Call 1

Inputs
(- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha))))
(- (+ 1/4 (+ (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (* beta (- (* 1/4 (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* 1/4 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))) (* -1/4 (/ alpha (+ 2 alpha))))
(- (+ 1/4 (+ (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (* beta (- (+ (* 1/4 (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* beta (- (* 1/4 (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (* -1/4 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha)))))) (* 1/4 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))) (* -1/4 (/ alpha (+ 2 alpha))))
(- (+ 1/4 (+ (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (* beta (- (+ (* 1/4 (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* beta (- (+ (* 1/4 (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (* beta (- (* 1/4 (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -2 (/ alpha (pow (+ 2 alpha) 4))) (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))))) (* 1/4 (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))))) (* -1/4 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha)))))) (* 1/4 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))) (* -1/4 (/ alpha (+ 2 alpha))))
alpha
(+ alpha (* -1 beta))
(+ alpha (* -1 beta))
(+ alpha (* -1 beta))
(/ (+ 1/8 (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3)))) (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))))
(+ (* -1/8 (/ (pow alpha 3) (* (pow (+ 2 alpha) 3) (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha))))))) (+ (* beta (- (* -1/8 (/ (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))) (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))))) (/ (* (+ 1/8 (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3)))) (- (* 1/4 (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* 1/4 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (pow (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))) 2)))) (* 1/8 (/ 1 (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha))))))))
(+ (* -1/8 (/ (pow alpha 3) (* (pow (+ 2 alpha) 3) (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha))))))) (+ (* beta (- (+ (* -1/8 (/ (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))) (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))))) (* beta (- (* -1/8 (/ (- (+ (* 2 (/ alpha (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))) (pow (+ 2 alpha) 3)) (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6)))) (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))))) (+ (/ (* (+ 1/8 (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3)))) (- (* 1/4 (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (* -1/4 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))))) (pow (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))) 2)) (/ (* (- (* -1/8 (/ (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))) (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))))) (/ (* (+ 1/8 (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3)))) (- (* 1/4 (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* 1/4 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (pow (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))) 2))) (- (* 1/4 (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* 1/4 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha))))))))) (/ (* (+ 1/8 (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3)))) (- (* 1/4 (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* 1/4 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (pow (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))) 2)))) (* 1/8 (/ 1 (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha))))))))
(+ (* -1/8 (/ (pow alpha 3) (* (pow (+ 2 alpha) 3) (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha))))))) (+ (* beta (- (+ (* -1/8 (/ (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))) (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))))) (* beta (- (+ (* -1/8 (/ (- (+ (* 2 (/ alpha (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))) (pow (+ 2 alpha) 3)) (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6)))) (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))))) (* beta (- (* 1/8 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))) (pow (+ 2 alpha) 3)) (+ (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* 2 (/ alpha (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))) (pow (+ 2 alpha) 3)) (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6))))) (pow (+ 2 alpha) 3)) (/ (pow alpha 3) (pow (+ 2 alpha) 6))))) (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))))) (+ (/ (* (+ 1/8 (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3)))) (- (* 1/4 (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -2 (/ alpha (pow (+ 2 alpha) 4))) (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))))) (* 1/4 (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (pow (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))) 2)) (+ (/ (* (- (* -1/8 (/ (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))) (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))))) (/ (* (+ 1/8 (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3)))) (- (* 1/4 (- (* -2 (/ alpha (pow (+ 2 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(* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (* -1/4 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))))) (pow (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))) 2)) (/ (* (- (* -1/8 (/ (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))) (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))))) (/ (* (+ 1/8 (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3)))) (- (* 1/4 (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* 1/4 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (pow (- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))) 2))) (- (* 1/4 (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* 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(/ (pow alpha 2) (pow (+ 2 alpha) 2))
(+ (* beta (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
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(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
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1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1/2
(+ 1/2 (* 1/4 beta))
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(* 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)))))))
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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)))))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
1/4
(+ 1/4 (* -1/8 beta))
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(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
(- alpha 2)
(- (+ alpha (* beta (- alpha 3))) 2)
(- (+ alpha (* beta (- (+ alpha (* -1 beta)) 3))) 2)
(- (+ alpha (* beta (- (+ alpha (* -1 beta)) 3))) 2)
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(/ (- 1 (* 2 (/ 1 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)))
(/ (- alpha 2) (pow alpha 2))
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2))))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2))))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2))))
(+ 1/8 (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3))))
(+ 1/8 (+ (* -1/8 (* beta (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3)))))
(+ 1/8 (+ (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) (* beta (+ (* -1/8 (* beta (- (+ (* 2 (/ alpha (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))) (pow (+ 2 alpha) 3)) (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6)))))) (* -1/8 (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))))))
(+ 1/8 (+ (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) (* beta (+ (* -1/8 (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))) (* beta (+ (* -1/8 (- (+ (* 2 (/ alpha (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))) (pow (+ 2 alpha) 3)) (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6))))) (* 1/8 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))) (pow (+ 2 alpha) 3)) (+ (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* 2 (/ alpha (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))) (pow (+ 2 alpha) 3)) (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6))))) (pow (+ 2 alpha) 3)) (/ (pow alpha 3) (pow (+ 2 alpha) 6)))))))))))))
(- 1/4 (* -1/4 (/ alpha (+ 2 alpha))))
(- (+ 1/4 (* -1/4 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (* -1/4 (/ alpha (+ 2 alpha))))
(- (+ 1/4 (* beta (- (* 1/4 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/4 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) (* -1/4 (/ alpha (+ 2 alpha))))
(- (+ 1/4 (* beta (- (* beta (- (* -1/4 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* -1/4 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))))) (* 1/4 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) (* -1/4 (/ alpha (+ 2 alpha))))
(* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 3)))
(+ (* -1 (* beta (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 3))))
(+ (* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) (* beta (+ (* -1 (* beta (- (+ (* 2 (/ alpha (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))) (pow (+ 2 alpha) 3)) (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6)))))) (* -1 (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))))))
(+ (* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) (* beta (+ (* -1 (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))) (* beta (+ (* -1 (- (+ (* 2 (/ alpha (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))) (pow (+ 2 alpha) 3)) (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6))))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))) (pow (+ 2 alpha) 3)) (+ (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* 2 (/ alpha (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))) (pow (+ 2 alpha) 3)) (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6))))) (pow (+ 2 alpha) 3)) (/ (pow alpha 3) (pow (+ 2 alpha) 6)))))))))))
1/4
(- (+ 1/4 (* 1/4 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta))) (* -1/4 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(- (+ 1/4 (+ (* 1/4 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta)) (* 1/4 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (pow beta 2))))) (+ (* -1/4 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/4 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(- (+ 1/4 (+ (* -1/4 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (pow beta 3))) (+ (* 1/4 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta)) (* 1/4 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (pow beta 2)))))) (+ (* -1/4 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/4 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/4 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
(* -1 beta)
(* beta (- (/ alpha beta) 1))
(* beta (- (/ alpha beta) 1))
(* beta (- (/ alpha beta) 1))
1
(- (+ 1 (* -1/2 (/ (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))) beta))) (* 4 (/ (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* -1/4 (- alpha (* -1 (+ 2 alpha))))) beta)))
(- (+ 1 (+ (* -1/2 (/ (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))) beta)) (* -1/2 (/ (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))))) (pow beta 2))))) (+ (* 4 (/ (* (- (* -1/2 (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))) (* 4 (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* -1/4 (- alpha (* -1 (+ 2 alpha))))))) (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* -1/4 (- alpha (* -1 (+ 2 alpha)))))) (pow beta 2))) (+ (* 4 (/ (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* -1/4 (- alpha (* -1 (+ 2 alpha))))) beta)) (* 4 (/ (- (* 1/4 (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* 1/4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow beta 2))))))
(- (+ 1 (+ (* -1/2 (/ (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))) beta)) (+ (* -1/2 (/ (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))))) (pow beta 2))) (* -1/2 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))))))) (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))))))) (pow beta 3)))))) (+ (* 4 (/ (* (- (* -1/2 (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))) (* 4 (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* -1/4 (- alpha (* -1 (+ 2 alpha))))))) (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* -1/4 (- alpha (* -1 (+ 2 alpha)))))) (pow beta 2))) (+ (* 4 (/ (* (- (* -1/2 (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))) (* 4 (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* -1/4 (- alpha (* -1 (+ 2 alpha))))))) (- (* 1/4 (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* 1/4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))) (pow beta 3))) (+ (* 4 (/ (* (- (* -1/2 (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))))))) (+ (* 4 (* (- (* -1/2 (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))) (* 4 (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* -1/4 (- alpha (* -1 (+ 2 alpha))))))) (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* -1/4 (- alpha (* -1 (+ 2 alpha))))))) (* 4 (- (* 1/4 (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* 1/4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))))) (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* -1/4 (- alpha (* -1 (+ 2 alpha)))))) (pow beta 3))) (+ (* 4 (/ (- (* -1/4 (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))))) (* -1/4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow beta 3))) (+ (* 4 (/ (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* -1/4 (- alpha (* -1 (+ 2 alpha))))) beta)) (* 4 (/ (- (* 1/4 (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* 1/4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow beta 2)))))))))
1
(- (+ 1 (* -2 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))
(- (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(- (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(* 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
(+ 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 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(* -1/8 (pow beta 2))
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8))
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))
(* -1/8 beta)
(* beta (- (* 1/4 (/ 1 beta)) 1/8))
(* beta (- (* 1/4 (/ 1 beta)) 1/8))
(* beta (- (* 1/4 (/ 1 beta)) 1/8))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
(* -1 (pow beta 2))
(* (pow beta 2) (- (/ alpha beta) (+ 1 (* 3 (/ 1 beta)))))
(* (pow beta 2) (- (+ (/ alpha beta) (/ alpha (pow beta 2))) (+ 1 (+ (* 3 (/ 1 beta)) (/ 2 (pow beta 2))))))
(* (pow beta 2) (- (+ (/ alpha beta) (/ alpha (pow beta 2))) (+ 1 (+ (* 3 (/ 1 beta)) (/ 2 (pow beta 2))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(* -1 (/ (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 (* 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))))))
1/4
(+ 1/4 (* -1/8 (/ (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))) beta)))
(+ 1/4 (+ (* -1/8 (/ (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))) beta)) (* -1/8 (/ (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))))) (pow beta 2)))))
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(* 1/4 (/ (- alpha (* -1 (+ 2 alpha))) beta))
(/ (- (* -1/4 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1/4 (- alpha (* -1 (+ 2 alpha))))) beta)
(/ (- (* 1/4 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))) (+ (* -1/4 (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)))) beta)
(/ (- (* -1/4 (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/4 (- alpha (* -1 (+ 2 alpha)))) (+ (* -1/4 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))) (* 1/4 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))))) beta)
1
(+ 1 (* -1 (/ (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))) beta)))
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1/4
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(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))))) (* 1/4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* 1/4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha))))) (* 1/4 (- alpha (* -1 (+ 2 alpha))))) beta)))
(* -1 beta)
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
1
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1
(+ 1 (* -1 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta)))
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(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) beta) (pow alpha 2))) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta)))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
1
(- 1 (/ 1 beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) 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
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
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1
(- 1 (/ 1 beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(* -1/8 (pow beta 2))
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8))
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))
(* -1/8 beta)
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))
1
(+ 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)))
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1
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
(* -1 (pow beta 2))
(* (pow beta 2) (- (* -1 (/ (+ 3 (* -1 alpha)) beta)) 1))
(* (pow beta 2) (- (* -1 (/ (+ 3 (+ (* -1 alpha) (* -1 (/ (- alpha 2) beta)))) beta)) 1))
(* (pow beta 2) (- (* -1 (/ (+ 3 (+ (* -1 alpha) (* -1 (/ (- alpha 2) beta)))) beta)) 1))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* -1 (/ (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 (/ (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))))
1/4
(+ 1/4 (* -1/8 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
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(* 1/4 (/ (- alpha (* -1 (+ 2 alpha))) beta))
(* -1 (/ (- (* 1/4 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/4 (- alpha (* -1 (+ 2 alpha))))) beta))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/4 (- alpha (* -1 (+ 2 alpha))))) beta))
1
(+ 1 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
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(- (+ 1/4 (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2)))) (* 1/4 (/ beta (+ 2 beta))))
(- (+ 1/4 (+ (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (- (* 1/4 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* -1/4 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))) (* 1/4 (/ beta (+ 2 beta))))
(- (+ 1/4 (+ (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 1/4 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* alpha (- (* 1/4 (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (* -1/4 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))) (* -1/4 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))) (* 1/4 (/ beta (+ 2 beta))))
(- (+ 1/4 (+ (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 1/4 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* alpha (- (+ (* 1/4 (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (* alpha (- (* 1/4 (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))))) (* -1/4 (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))))) (* -1/4 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))) (* -1/4 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))) (* 1/4 (/ beta (+ 2 beta))))
(* -1 beta)
(+ alpha (* -1 beta))
(+ alpha (* -1 beta))
(+ alpha (* -1 beta))
(/ (+ 1/8 (* 1/8 (/ (pow beta 3) (pow (+ 2 beta) 3)))) (- (+ 1/4 (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2)))) (* 1/4 (/ beta (+ 2 beta)))))
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alpha
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1
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1 (/ alpha beta))
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(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -2 (/ alpha beta))
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(* -2 alpha)
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(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
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(/ (+ 1 beta) alpha)
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1/2
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-1
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(* -2 alpha)
(* -2 alpha)
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3/4
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alpha
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (* alpha (- (/ beta alpha) 1)))
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(* 1/6 (/ (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (- (* -1/6 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* -2/9 (* (- (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta)))) (* -1/4 (- beta (* -1 (+ 2 beta))))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))))) alpha)) (* -1/6 (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta)))))) alpha))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (- (pow beta 3) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))))))) (+ (* -2/9 (* (- (* 1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* -1/4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta)))))) (* 4/3 (* (- (* -1/6 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* -2/9 (* (- (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta)))) (* -1/4 (- beta (* -1 (+ 2 beta))))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))))) (- (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta)))) (* -1/4 (- beta (* -1 (+ 2 beta))))))))) alpha)) (* -1/6 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2)))))) (* -2/9 (* (- (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta)))) (* -1/4 (- beta (* -1 (+ 2 beta))))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))))) alpha)) (* -1/6 (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta)))))) alpha))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (+ (* -1 (* (pow (+ 2 beta) 3) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta)))))) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (pow beta 3) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))))))) (* (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2)))))))) (+ (* -2/9 (* (- (* -1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (* -1/4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta)))))) (+ (* 4/3 (* (- (* -1/6 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* -2/9 (* (- (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta)))) (* -1/4 (- beta (* -1 (+ 2 beta))))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))))) (- (* 1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* -1/4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))))) (* 4/3 (* (- (* -1/6 (- (pow beta 3) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))))))) (+ (* -2/9 (* (- (* 1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* -1/4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta)))))) (* 4/3 (* (- (* -1/6 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* -2/9 (* (- (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta)))) (* -1/4 (- beta (* -1 (+ 2 beta))))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))))) (- (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta)))) (* -1/4 (- beta (* -1 (+ 2 beta))))))))) (- (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta)))) (* -1/4 (- beta (* -1 (+ 2 beta)))))))))) alpha)) (* -1/6 (- (pow beta 3) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta)))))))))) (+ (* -2/9 (* (- (* 1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* -1/4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta)))))) (* 4/3 (* (- (* -1/6 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* -2/9 (* (- (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta)))) (* -1/4 (- beta (* -1 (+ 2 beta))))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))))) (- (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta)))) (* -1/4 (- beta (* -1 (+ 2 beta))))))))) alpha)) (* -1/6 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2)))))) (* -2/9 (* (- (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta)))) (* -1/4 (- beta (* -1 (+ 2 beta))))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))))) alpha)) (* -1/6 (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta)))))) alpha))
1
(+ 1 (* -1 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 2 beta)) (* -2 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) alpha)) (+ (/ (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))) alpha) (pow beta 2))) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 2 beta)) (* -2 (+ 2 beta))) alpha)))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1/2 (/ (- (* -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 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 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))))
(* -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)
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (- (* -1 beta) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) 1)))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/ (+ 1 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 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) 1) alpha))
(* 1/8 (/ (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1/8 (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (* 1/8 (/ (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/8 (/ (- (pow beta 3) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta)))))))) alpha))) alpha)) (* -1/8 (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta)))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (pow beta 3) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))))))) (* -1/8 (/ (+ (* -1 (* (pow (+ 2 beta) 3) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta)))))) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (pow beta 3) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))))))) (* (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2))))))) alpha))) alpha)) (* -1/8 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2)))))) alpha)) (* -1/8 (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta)))))) alpha))
1/2
(+ 1/2 (* -1/4 (/ (- beta (* -1 (+ 2 beta))) alpha)))
(+ 1/2 (* -1 (/ (- (* -1/4 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* -1/4 (- beta (* -1 (+ 2 beta))))) alpha)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/4 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) (* -1/4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/4 (- beta (* -1 (+ 2 beta))))) alpha)))
-1
(- (+ (* 2 (/ beta alpha)) (/ beta alpha)) (+ 1 (+ (* -2 (/ (+ 2 beta) alpha)) (* -1 (/ (+ 2 beta) alpha)))))
(- (* -1 (/ (- (+ (* -1 (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (+ (* 2 (/ (pow beta 2) alpha)) (/ (pow beta 2) alpha))) (+ (* 2 (/ (pow (+ 2 beta) 2) alpha)) (+ (/ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) alpha) (/ (pow (+ 2 beta) 2) alpha)))) alpha)) 1)
(- (* -1 (/ (+ (* -1 (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (* -1 (/ (- (+ (* -1 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (/ (pow beta 3) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (+ (/ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) (pow (+ 2 beta) 2))))) alpha) (/ (* (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (+ beta (* 2 beta)) (+ (* -2 (+ 2 beta)) (* -1 (+ 2 beta))))) alpha)))) alpha))) alpha)) 1)
(* -2 alpha)
(* -2 alpha)
(* -2 alpha)
(* -2 alpha)

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

rewrite237.0ms (2.8%)

Memory

-32.0MiB live, 370.9MiB allocated

Rules

4 574×	`lower-*.f32`
4 562×	`lower-*.f64`
4 056×	`lower-fma.f32`
4 040×	`lower-fma.f64`
3 660×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	627
0	100	477
1	528	475
2	4790	475
0	9022	462

Stop Event

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

Counts

23 → 380

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 4 binary64)) #s(literal 1/16 binary64) (.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))))
(.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 6 binary64)) #s(literal 1/64 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) (.f64 (pow.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 4 binary64)) #s(literal 1/16 binary64)))))
(pow.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 4 binary64)) #s(literal 1/16 binary64) (.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) (.f64 (pow.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (fma.f64 (pow.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 6 binary64)) #s(literal 1/64 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (fma.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) (fma.f64 (fma.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 1/4 binary64) (.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))) (.f64 (pow.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) (.f64 (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (fma.f64 (.f64 (fma.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (fma.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (.f64 (.f64 (fma.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
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(/.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 4 binary64)) #s(literal 1/16 binary64) (.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))))
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(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))))
(.f64 (.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
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(pow.f64 (exp.f64 (log.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) #s(literal -3 binary64))
(pow.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64))
(/.f64 (pow.f64 (neg.f64 (neg.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (.f64 (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (.f64 (neg.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (neg.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))))
(/.f64 (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (neg.f64 (.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (.f64 (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) (neg.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (.f64 (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (.f64 (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))))
(/.f64 (.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) (neg.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) (.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))))
(/.f64 (.f64 (neg.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) (.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (.f64 (neg.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) (.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) (.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) (.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) (.f64 #s(literal -1 binary64) (.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) (.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 3 binary64)))
(/.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (.f64 (.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))) #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 3 binary64)))
(*.f64 #s(literal -2 binary64) alpha)
(*.f64 alpha #s(literal -2 binary64))

eval256.0ms (3%)

Memory: 35.6MiB live, 456.6MiB allocated
Compiler: Compiled 87 406 to 3 436 computations (96.1% saved)

prune206.0ms (2.4%)

Memory

-8.9MiB live, 395.4MiB allocated

Pruning

26 alts after pruning (16 fresh and 10 done)

	Pruned	Kept	Total
New	1 058	6	1 064
Fresh	3	10	13
Picked	2	3	5
Done	0	7	7
Total	1 063	26	1 089

Accuracy

100.0%

Counts

1 089 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.8%	(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	72.6%	(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	74.3%	(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	51.2%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	3.6%	(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	28.9%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (+.f64 (fma.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))))) alpha)) #s(literal 2 binary64))
	74.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(approx (- alpha beta) #s(approx (* (- (/ alpha beta) 1) beta) (-.f64 alpha beta))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))) (fma.f64 (.f64 (.f64 (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 #s(approx (- alpha beta) (.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
✓	31.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	73.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	25.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
	28.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(approx (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (/.f64 #s(literal -4 binary64) alpha)) #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) alpha))
	29.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
✓	29.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)))
	13.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/.f64 #s(approx (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (-.f64 (fma.f64 (-.f64 alpha #s(literal 3 binary64)) beta alpha) #s(literal 2 binary64))) (*.f64 alpha alpha))))
	13.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/.f64 #s(approx (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (-.f64 alpha #s(literal 2 binary64))) (*.f64 alpha alpha))))
	27.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) #s(approx (/ (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (* alpha alpha)) (/.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) beta) #s(literal 1 binary64)) alpha))))
✓	28.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
	47.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
✓	46.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
✓	48.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
	4.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
✓	51.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
	10.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 beta alpha)))
	22.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha)))
✓	35.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	29.2%	#s(approx (/ 1 (/ (+ (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/4) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4))) (+ (* (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/8) 1/8))) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) beta (.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal -3 binary64))) alpha) #s(literal 1/6 binary64)))

Compiler

Compiled 1 178 to 382 computations (67.6% saved)

regimes57.0ms (0.7%)

Memory

11.0MiB live, 126.0MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

13.0ms	alpha
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
11.0ms	beta
10.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
9.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
94.3%	2	`alpha`
74.8%	1	`beta`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes33.0ms (0.4%)

Memory

-12.0MiB live, 66.0MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

13.0ms

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

10.0ms

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

8.0ms

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

Results

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

regimes26.0ms (0.3%)

Memory

21.7MiB live, 59.5MiB 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/.f64 #s(approx (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (-.f64 alpha #s(literal 2 binary64))) (*.f64 alpha alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/.f64 #s(approx (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (-.f64 (fma.f64 (-.f64 alpha #s(literal 3 binary64)) beta alpha) #s(literal 2 binary64))) (*.f64 alpha alpha))))
(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha)) #s(literal 2 binary64))
#s(approx (/ 1 (/ (+ (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/4) (- 1/4 (* (/ (- alpha beta) (- -2 (+ beta alpha))) 1/4))) (+ (* (* (* (/ (- alpha beta) (- -2 (+ beta alpha))) (/ (- alpha beta) (- -2 (+ beta alpha)))) (/ (- alpha beta) (- -2 (+ beta alpha)))) 1/8) 1/8))) (.f64 (/.f64 (fma.f64 #s(literal 3 binary64) beta (.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal -3 binary64))) alpha) #s(literal 1/6 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(approx (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (/.f64 #s(literal -4 binary64) alpha)) #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(approx (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (/.f64 #s(literal -4 binary64) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) (*.f64 alpha alpha))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) #s(approx (/ (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (* alpha alpha)) (/.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) beta) #s(literal 1 binary64)) alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) (+.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64))) alpha) beta) #s(literal 1 binary64))) alpha))

Outputs

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

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

Calls

3 calls:

9.0ms

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

8.0ms

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

7.0ms

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

Results

Accuracy	Segments	Branch
99.9%	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 39 to 26 computations (33.3% saved)

regimes24.0ms (0.3%)

Memory

10.1MiB live, 47.2MiB allocated

Counts

28 → 2

Calls

Call 1

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

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

Calls

3 calls:

9.0ms

(/.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))

6.0ms

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

Results

Accuracy	Segments	Branch
99.9%	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 39 to 26 computations (33.3% saved)

regimes252.0ms (3%)

Memory

-124.2MiB live, 40.3MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

239.0ms

(/.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))

6.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes23.0ms (0.3%)

Memory

-29.1MiB live, 48.8MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
99.1%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.1%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.1%	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

0.2MiB live, 39.8MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

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))

4.0ms

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

Results

Accuracy	Segments	Branch
98.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.6%	2	`(/.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

29.6MiB live, 29.6MiB 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) (/.f64 #s(approx (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (-.f64 alpha #s(literal 2 binary64))) (*.f64 alpha alpha))))

Outputs

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

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

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

Calls

3 calls:

4.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
98.4%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.4%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.4%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

-17.5MiB live, 24.3MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

8.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
98.2%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.2%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.2%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes13.0ms (0.2%)

Memory

-8.2MiB live, 31.2MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
69.1%	2	`alpha`
91.6%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
91.6%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.6%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
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)

regimes8.0ms (0.1%)

Memory

-20.9MiB live, 18.6MiB 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 beta alpha)))

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

2.0ms

(+.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)

regimes9.0ms (0.1%)

Memory

21.1MiB live, 21.0MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

2.0ms	beta
2.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms	(/.f64 (+.f64 (/.f64 (-.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
72.4%	2	`beta`
72.1%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
72.1%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
72.1%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-21.5MiB live, 18.1MiB 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))

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

Outputs

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

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

Calls

4 calls:

2.0ms	(/.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
71.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
71.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
71.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
71.8%	2	`beta`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
35.8%	1	`alpha`
35.8%	1	`beta`
35.8%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
35.8%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
35.8%	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

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999398051189897	-0.004660723716336259

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999775324139	-0.9999398051189897

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	-0.9999999775324139	-0.9999398051189897

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999775324139	-0.9999398051189897

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999999999986	-0.9999999775324139

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999398051189897	-0.004660723716336259

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	-0.9999398051189897	-0.004660723716336259

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	0.25665886739327903	0.9999670590609717
0.0ms	-0.9999398051189897	-0.004660723716336259

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	0.25665886739327903	0.9999670590609717
0.0ms	-0.9999398051189897	-0.004660723716336259

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.25665886739327903	0.9999670590609717
0.0ms	-0.9999398051189897	-0.004660723716336259

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	0.25665886739327903	0.9999670590609717
0.0ms	-0.9999398051189897	-0.004660723716336259

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	0.25665886739327903	0.9999670590609717
0.0ms	-0.9999398051189897	-0.004660723716336259

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch20.0ms (0.2%)

Memory

1.9MiB live, 42.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0003809004008109219	60712.72335034435

Samples

6.0ms	97×	0	valid
3.0ms	30×	1	valid
3.0ms	17×	2	valid

Compiler

Compiled 144 to 105 computations (27.1% saved)

Precisions

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

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

adjust: 2.0ms (25.1% of total)

ival-div: 2.0ms (25.1% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.25665886739327903	0.9999670590609717

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify61.0ms (0.7%)

Memory

-19.3MiB live, 59.6MiB allocated

Algorithm

1×	egg-herbie

Rules

360×	`distribute-lft-neg-in_binary64`
336×	`unsub-neg_binary64`
216×	`neg-mul-1_binary64`
190×	`neg-sub0_binary64`
178×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	1102
1	186	1102
2	234	1102
3	275	1102
4	312	1102
5	352	1102
6	403	1102
7	521	1102
8	668	1102
9	837	1102
10	1023	1102
11	1195	1102
12	1312	1102
13	1362	1102
14	1384	1102
15	1397	1102
16	1408	1102
17	1413	1102
18	1414	1102

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)) (/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (+.f64 (fma.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))))) alpha)) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9006748894778255/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) #s(approx (/ (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (* alpha alpha)) (/.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) beta) #s(literal 1 binary64)) alpha)))) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9006748894778255/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) #s(approx (/ (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (* alpha alpha)) (/.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) beta) #s(literal 1 binary64)) alpha)))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9006748894778255/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(approx (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (/.f64 #s(literal -4 binary64) alpha)) #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007199074597007/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 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) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 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) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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 (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #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 (+ (* (/ beta (- beta -2)) 1/2) 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)) (/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (+.f64 (fma.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))))) alpha)) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) (/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (+.f64 (fma.f64 (.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (-.f64 #s(literal -2 binary64) beta)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (.f64 (-.f64 (-.f64 beta #s(literal -2 binary64)) (.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (-.f64 #s(literal -2 binary64) beta))) (/.f64 beta alpha))) alpha)) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9006748894778255/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) #s(approx (/ (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (* alpha alpha)) (/.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) beta) #s(literal 1 binary64)) alpha)))) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9006748894778255/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) #s(approx (/ (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (* alpha alpha)) (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) beta) #s(literal -1 binary64)) alpha)))) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9006748894778255/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) #s(approx (/ (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (* alpha alpha)) (/.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) beta) #s(literal 1 binary64)) alpha)))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9006748894778255/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) 1/2) (+ beta 1)) alpha) #s(approx (/ (+ (* (- -1 beta) (- beta -2)) (+ (* beta alpha) alpha)) (* alpha alpha)) (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) beta) #s(literal -1 binary64)) alpha)))) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9006748894778255/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(approx (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (/.f64 #s(literal -4 binary64) alpha)) #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9006748894778255/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (-.f64 (fma.f64 #s(approx (* (- -2 beta) (/ (+ (- beta -2) beta) alpha)) (/.f64 #s(literal -4 binary64) alpha)) #s(literal 1/2 binary64) beta) #s(literal -1 binary64)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007199074597007/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007199074597007/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 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) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 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) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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 (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (/ (- (- -2 beta) beta) alpha) -1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 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))

soundness1.3s (15.5%)

Memory

13.9MiB live, 1 076.5MiB allocated

Rules

9 688×	`lower-fma.f64`
9 688×	`lower-fma.f32`
7 996×	`lower-fma.f64`
7 996×	`lower-fma.f32`
7 512×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	613	6744
1	1908	6226
2	5998	6088
0	8377	5744
0	53	284
0	72	284
1	380	280
2	3340	280
0	9785	274
0	433	2500
1	1394	2354
2	4567	2155
0	8651	2014
0	1543	23345
1	5011	22894
0	8107	21307
0	10	44
0	16	44
1	91	44
2	748	44
0	9057	43
0	669	6800
1	2088	6331
2	6473	6200
0	8253	5830

Stop Event

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

Compiler

Compiled 905 to 369 computations (59.2% saved)

preprocess84.0ms (1%)

Memory: 18.3MiB live, 168.0MiB allocated
Compiler: Compiled 1 086 to 200 computations (81.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.2s (14.6%)

explain168.0ms (2%)

preprocess352.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify108.0ms (1.3%)

localize48.0ms (0.6%)

series14.0ms (0.2%)

simplify183.0ms (2.2%)

rewrite253.0ms (3%)

eval120.0ms (1.4%)

prune99.0ms (1.2%)

simplify138.0ms (1.6%)

localize131.0ms (1.6%)

series42.0ms (0.5%)

simplify279.0ms (3.3%)

rewrite256.0ms (3%)

eval188.0ms (2.2%)

prune241.0ms (2.9%)

simplify208.0ms (2.5%)

localize188.0ms (2.2%)

series43.0ms (0.5%)

simplify186.0ms (2.2%)

rewrite294.0ms (3.5%)

eval87.0ms (1%)

prune134.0ms (1.6%)

simplify148.0ms (1.7%)

localize279.0ms (3.3%)

series114.0ms (1.3%)

simplify230.0ms (2.7%)

rewrite237.0ms (2.8%)

eval256.0ms (3%)

prune206.0ms (2.4%)

regimes57.0ms (0.7%)

regimes33.0ms (0.4%)

regimes26.0ms (0.3%)

regimes24.0ms (0.3%)

regimes252.0ms (3%)

regimes23.0ms (0.3%)

regimes16.0ms (0.2%)

regimes11.0ms (0.1%)

regimes15.0ms (0.2%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (0.2%)

bsearch0.0ms (0%)

simplify61.0ms (0.7%)

soundness1.3s (15.5%)

preprocess84.0ms (1%)

end0.0ms (0%)

Profiling