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)

sample1.3s (16.6%)

Memory

91.9MiB live, 1 736.8MiB allocated

Samples

457.0ms	6 018×	0	valid
257.0ms	1 502×	1	valid
198.0ms	736×	2	valid

Precisions

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

ival-div: 200.0ms (30.9% of total)

ival-add: 188.0ms (29% of total)

adjust: 98.0ms (15.1% of total)

ival-sub: 97.0ms (15% of total)

ival->: 37.0ms (5.7% of total)

exact: 14.0ms (2.2% of total)

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

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

Bogosity

explain139.0ms (1.8%)

Memory

-44.8MiB live, 295.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
65	-	-	`(+.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	65	0

Confusion

	Predicted +	Predicted -
+	65	0
-	0	191

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	65	0	0
-	0	0	191

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	191
1	65

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms	382×	0	valid
12.0ms	86×	1	valid
9.0ms	44×	2	valid

Compiler

Compiled 115 to 34 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-add: 12.0ms (41.8% of total)

ival-div: 8.0ms (27.9% of total)

adjust: 4.0ms (13.9% of total)

ival-sub: 4.0ms (13.9% of total)

exact: 1.0ms (3.5% of total)

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

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

preprocess322.0ms (4.2%)

Memory

22.3MiB live, 141.8MiB allocated

Algorithm

1×	egg-herbie

Rules

1 088×	`lower-fma.f64`
1 088×	`lower-fma.f32`
692×	`distribute-rgt-in`
609×	`distribute-lft-in`
528×	`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 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1/2 binary64))

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify132.0ms (1.7%)

Memory

-9.7MiB live, 109.5MiB 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

1 088×	`lower-fma.f64`
1 088×	`lower-fma.f32`
440×	`lower-*.f64`
440×	`lower-*.f32`
237×	`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 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 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)

localize166.0ms (2.1%)

Memory

5.0MiB live, 44.4MiB 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	0.01171875	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	15.424537527189765	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

139.0ms	22×	2	valid
11.0ms	191×	0	valid
6.0ms	43×	1	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-div: 4.0ms (30.7% of total)

ival-add: 4.0ms (30.7% of total)

adjust: 2.0ms (15.4% of total)

ival-sub: 2.0ms (15.4% 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

12.7MiB live, 12.7MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

simplify231.0ms (3%)

Memory

-26.8MiB live, 252.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 844×	`lower-fma.f64`
4 844×	`lower-fma.f32`
1 962×	`lower-+.f64`
1 962×	`lower-+.f32`
1 863×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2500
1	1394	2354
2	4563	2155
0	8642	2014

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 131

Calls

Call 1

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

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

rewrite249.0ms (3.2%)

Memory

18.2MiB live, 323.7MiB allocated

Rules

2 533×	`lower-fma.f64`
2 533×	`lower-fma.f32`
2 205×	`lower-*.f64`
2 205×	`lower-*.f32`
2 132×	`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 alpha beta)) (*.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 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 (.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (.f64 (.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.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 (.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))
(.f64 (.f64 (-.f64 (/.f64 (.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 1 binary64))))
(.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (.f64 (.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) #s(literal -1/2 binary64)))
(.f64 (-.f64 (/.f64 (.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta))))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 beta alpha))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta))
(/.f64 (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 beta beta) beta)) (fma.f64 beta beta (fma.f64 alpha alpha (.f64 (neg.f64 beta) alpha))))
(/.f64 (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 beta beta) beta)) (fma.f64 beta (-.f64 beta alpha) (.f64 alpha alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta beta (fma.f64 alpha alpha (.f64 (neg.f64 beta) alpha))) (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 beta beta) beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)))
(neg.f64 (neg.f64 (+.f64 alpha beta)))
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) beta)
(fma.f64 (.f64 alpha alpha) (/.f64 #s(literal -1 binary64) (-.f64 beta alpha)) (neg.f64 (/.f64 (.f64 beta beta) (-.f64 alpha beta))))
(fma.f64 #s(literal 1 binary64) alpha beta)
(-.f64 (/.f64 (.f64 beta beta) (-.f64 beta alpha)) (/.f64 (.f64 alpha alpha) (-.f64 beta alpha)))
(-.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (.f64 beta beta) (-.f64 alpha beta)))
(-.f64 beta (neg.f64 alpha))
(+.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (neg.f64 (/.f64 (.f64 beta beta) (-.f64 alpha beta))))
(+.f64 alpha beta)
(+.f64 beta alpha)
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(.f64 (.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (-.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))) (/.f64 #s(literal 1 binary64) (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))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 beta (-.f64 alpha #s(literal 2 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal 8 binary64))) (/.f64 #s(literal 1 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 -2 binary64) (+.f64 alpha beta)))
(*.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal 8 binary64)) (/.f64 #s(literal 1 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)) (/.f64 #s(literal 1 binary64) (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 (+.f64 #s(literal 2 binary64) alpha) beta))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 beta (-.f64 alpha #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (-.f64 alpha #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (.f64 beta beta)) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha)) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(/.f64 (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) (.f64 (/.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (-.f64 alpha #s(literal 2 binary64))))))))
(/.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))))
(/.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta) (.f64 (.f64 alpha alpha) alpha)) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta) (-.f64 (.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))
(/.f64 (fma.f64 (.f64 beta beta) beta (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 beta beta (-.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (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 (+.f64 #s(literal 2 binary64) 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 beta (-.f64 alpha #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64)))) (+.f64 beta (-.f64 alpha #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 beta (-.f64 alpha #s(literal 2 binary64)))) (.f64 (+.f64 beta (-.f64 alpha #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 (+.f64 beta (-.f64 alpha #s(literal 2 binary64))) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) 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 beta (-.f64 alpha #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 beta (-.f64 alpha #s(literal 2 binary64))))))
(/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64)) (+.f64 beta (-.f64 alpha #s(literal 2 binary64))))
(/.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 (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 (+.f64 #s(literal 2 binary64) 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 (+.f64 #s(literal 2 binary64) 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 alpha alpha) alpha (.f64 (.f64 beta beta) beta)))) (/.f64 (-.f64 beta alpha) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha 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)
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(fma.f64 (fma.f64 (.f64 beta beta) beta #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (-.f64 #s(literal 4 binary64) (.f64 beta #s(literal 2 binary64))))) alpha)
(fma.f64 (neg.f64 (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 beta beta) beta))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 beta (-.f64 beta alpha) (.f64 alpha alpha)))) #s(literal 2 binary64))
(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))
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal -1 binary64) (-.f64 alpha beta)) #s(literal 2 binary64))
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (/.f64 #s(literal -1 binary64) (-.f64 beta alpha)) #s(literal 2 binary64))
(fma.f64 (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 beta beta) beta)) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (fma.f64 alpha alpha (.f64 (neg.f64 beta) alpha)))) #s(literal 2 binary64))
(fma.f64 (fma.f64 (.f64 alpha alpha) alpha (.f64 (.f64 beta beta) beta)) (/.f64 #s(literal 1 binary64) (fma.f64 beta (-.f64 beta alpha) (.f64 alpha alpha))) #s(literal 2 binary64))
(fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (/.f64 #s(literal 1 binary64) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (-.f64 alpha #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 beta (-.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (-.f64 alpha #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 beta (-.f64 alpha #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (-.f64 alpha #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)))

eval81.0ms (1%)

Memory: 36.9MiB live, 187.2MiB allocated
Compiler: Compiled 18 307 to 2 300 computations (87.4% saved)

prune185.0ms (2.4%)

Memory

-48.0MiB live, 237.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	583	6	589
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	584	6	590

Accuracy

100.0%

Counts

590 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.1%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 beta (-.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	26.4%	#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)))
▶	74.9%	#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)))
▶	27.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
▶	54.6%	#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)))
▶	34.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 140 to 90 computations (35.7% saved)

simplify152.0ms (2%)

Memory

12.7MiB live, 159.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

3 495×	`lower-fma.f32`
3 492×	`lower-fma.f64`
1 753×	`lower-*.f32`
1 752×	`lower-*.f64`
634×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	185
0	44	185
1	76	185
2	120	185
3	208	183
4	364	181
5	693	181
6	1432	181
7	4279	181
8	6698	181
0	8079	174

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (2%)

Memory

5.7MiB live, 206.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
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	0.0078125	(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
accuracy	47.12012957060916	#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 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
accuracy	0.0078125	(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
accuracy	17.37256109861144	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
accuracy	18.406774634527448	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
accuracy	0	(+.f64 beta #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
accuracy	46.237259782328195	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
accuracy	41.75619942962085	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0	(-.f64 beta #s(literal -2 binary64))
accuracy	0.0078125	(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.0078125	(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
accuracy	16.026138539580888	#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)))

Samples

60.0ms	37×	2	valid
36.0ms	178×	0	valid
16.0ms	41×	1	valid

Compiler

Compiled 155 to 29 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-add: 40.0ms (50.4% of total)

ival-mult: 15.0ms (18.9% of total)

ival-div: 12.0ms (15.1% of total)

adjust: 7.0ms (8.8% of total)

ival-sub: 5.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory

-26.1MiB live, 45.7MiB allocated

Counts

16 → 288

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#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 (+ (* 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) (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 (+ (* 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) (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 (+ (* 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) (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 1 (taylor inf beta) (#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 (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) (taylor inf beta) (#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 (+ 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 #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 (+ 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 #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 1 (taylor -inf beta) (#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 (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) (taylor -inf beta) (#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 (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) (taylor -inf beta) (#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 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) (taylor -inf beta) (#s(alt #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 (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (taylor 0 alpha) (#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 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) (taylor 0 alpha) (#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>) () ())) ())
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#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) (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>) () ())) ())
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#s(alt (- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) (taylor 0 alpha) (#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 (* -2 (/ alpha beta)) (taylor inf alpha) (#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>) () ())) ())
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#s(alt (* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) (taylor inf alpha) (#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 (* -2 (/ alpha beta)) (taylor -inf alpha) (#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 (* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) (taylor -inf alpha) (#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 (* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) (taylor -inf alpha) (#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 (* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) (taylor -inf alpha) (#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 (/ (- (* -2 alpha) 2) beta) (taylor 0 beta) (#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 (/ (- (* -2 alpha) 2) beta) (taylor 0 beta) (#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 (/ (- (* -2 alpha) 2) beta) (taylor 0 beta) (#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 (/ (- (* -2 alpha) 2) beta) (taylor 0 beta) (#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 (/ (- (* -2 alpha) 2) beta) (taylor inf beta) (#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 (/ (- (* -2 alpha) 2) beta) (taylor inf beta) (#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 (/ (- (* -2 alpha) 2) beta) (taylor inf beta) (#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 (/ (- (* -2 alpha) 2) beta) (taylor inf beta) (#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 (/ (- (* -2 alpha) 2) beta) (taylor -inf beta) (#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 (/ (- (* -2 alpha) 2) beta) (taylor -inf beta) (#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 (/ (- (* -2 alpha) 2) beta) (taylor -inf beta) (#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 (/ (- (* -2 alpha) 2) beta) (taylor -inf beta) (#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 -2 (taylor 0 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 (- (* -2 alpha) 2) (taylor 0 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 (- (* -2 alpha) 2) (taylor 0 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 (- (* -2 alpha) 2) (taylor 0 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 (* -2 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>) () ())) ())
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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 (* 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 (* -2 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 (* 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 (* 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 (* 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>) () ())) ())

Calls

72 calls:

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

simplify213.0ms (2.7%)

Memory

17.9MiB live, 343.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 182×	`lower-fma.f64`
5 182×	`lower-fma.f32`
3 024×	`lower-*.f64`
3 024×	`lower-*.f32`
2 465×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	394	5090
1	1216	4745
2	3386	4612
0	8324	4250

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 284

Calls

Call 1

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

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

rewrite245.0ms (3.2%)

Memory

27.2MiB live, 323.9MiB allocated

Rules

2 596×	`lower-*.f32`
2 595×	`lower-*.f64`
2 512×	`lower-/.f32`
2 508×	`lower-/.f64`
1 437×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	166
0	44	166
1	233	166
2	1887	166
0	8811	166

Stop Event

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

Counts

16 → 304

Calls

Call 1

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

Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 beta beta) beta) (.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 beta beta) beta) (.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) beta) (.f64 #s(literal 1/2 binary64) beta)) (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64)))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))))))
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eval168.0ms (2.2%)

Memory: -19.8MiB live, 198.2MiB allocated
Compiler: Compiled 11 510 to 1 224 computations (89.4% saved)

prune87.0ms (1.1%)

Memory

-20.3MiB live, 177.1MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	573	15	588
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	576	18	594

Accuracy

100.0%

Counts

594 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64))) (+.f64 #s(literal -2 binary64) beta) #s(literal 1/2 binary64)))
✓	74.9%	#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)))
	54.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	27.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
	22.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
	27.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))
▶	3.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	9.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
	26.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))
	26.7%	#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))))
	51.0%	#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))))
	50.2%	#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))))
	51.2%	#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))))
▶	54.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
▶	53.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
▶	53.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
	53.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
✓	34.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 327 to 201 computations (38.5% saved)

simplify245.0ms (3.2%)

Memory

37.9MiB live, 187.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
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	(*.f64 #s(literal 1/2 binary64) beta)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64))) (+.f64 #s(literal -2 binary64) beta) #s(literal 1/2 binary64)))
cost-diff	128	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64))) (+.f64 #s(literal -2 binary64) beta) #s(literal 1/2 binary64))

Rules

4 340×	`lower-fma.f32`
4 333×	`lower-fma.f64`
1 826×	`lower-*.f32`
1 824×	`lower-*.f64`
693×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	296
0	64	296
1	115	296
2	219	296
3	437	296
4	676	296
5	1052	296
6	1765	296
7	4040	296
8	7709	296
0	8047	281

Stop Event

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

Calls

Call 1

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

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

localize174.0ms (2.2%)

Memory

-15.3MiB live, 228.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64))
accuracy	0.02734375	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
accuracy	17.37256109861144	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
accuracy	19.608504836864753	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
accuracy	0	(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
accuracy	0	(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))
accuracy	17.37256109861144	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
accuracy	19.350099807938463	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
accuracy	0	(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
accuracy	17.37256109861144	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
accuracy	18.406774634527448	(-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)))
accuracy	42.71677624186448	#s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))
accuracy	16.026138539580888	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
accuracy	16.442557892591182	#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))
accuracy	0	(+.f64 #s(literal -2 binary64) beta)
accuracy	0	(*.f64 #s(literal 1/2 binary64) beta)
accuracy	9.10797858407394	(/.f64 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64)))
accuracy	16.026138539580888	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64))) (+.f64 #s(literal -2 binary64) beta) #s(literal 1/2 binary64)))

Samples

44.0ms	177×	0	valid
36.0ms	41×	1	valid
31.0ms	37×	2	valid
1.0ms	1×	3	valid

Compiler

Compiled 207 to 43 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-add: 39.0ms (43.3% of total)

adjust: 18.0ms (20% of total)

ival-mult: 16.0ms (17.8% of total)

ival-div: 10.0ms (11.1% of total)

ival-sub: 5.0ms (5.6% of total)

exact: 1.0ms (1.1% of total)

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

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

series52.0ms (0.7%)

Memory

9.7MiB live, 46.6MiB allocated

Counts

20 → 300

Calls

Call 1

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

Calls

75 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	0	(+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2)
0.0ms	alpha	@	-inf	(+ (* (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) alpha) 1/2)
0.0ms	beta	@	inf	(/ (* 1/2 beta) (+ (* beta beta) -4))
0.0ms	alpha	@	inf	(+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2)
0.0ms	beta	@	inf	(* 1/2 beta)

simplify221.0ms (2.9%)

Memory

35.7MiB live, 328.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 859×	`lower-fma.f64`
4 859×	`lower-fma.f32`
2 827×	`lower-*.f64`
2 827×	`lower-*.f32`
2 766×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	5276
1	1287	5009
2	3771	4828
0	8436	4510

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 298

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
1
(- 1 (/ 1 beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1/8 beta)
(* beta (- (* -1/32 (pow beta 2)) 1/8))
(* beta (- (* (pow beta 2) (- (* -1/128 (pow beta 2)) 1/32)) 1/8))
(* beta (- (* (pow beta 2) (- (* (pow beta 2) (- (* -1/512 (pow beta 2)) 1/128)) 1/32)) 1/8))
(/ 1/2 beta)
(/ (+ 1/2 (* 2 (/ 1 (pow beta 2)))) beta)
(/ (+ 1/2 (+ (* 2 (/ 1 (pow beta 2))) (/ 8 (pow beta 4)))) beta)
(/ (+ 1/2 (+ (* 2 (/ 1 (pow beta 2))) (+ (* 32 (/ 1 (pow beta 6))) (/ 8 (pow beta 4))))) beta)
(/ 1/2 beta)
(/ (+ 1/2 (* 2 (/ 1 (pow beta 2)))) beta)
(* -1 (/ (- (* -1 (/ (+ 2 (* 8 (/ 1 (pow beta 2)))) (pow beta 2))) 1/2) beta))
(* -1 (/ (- (* -1 (/ (+ 8 (* 32 (/ 1 (pow beta 2)))) (pow beta 4))) (+ 1/2 (* 2 (/ 1 (pow beta 2))))) beta))
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
1
(- 1 (/ 1 beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
1
(+ 1 (* -1/2 alpha))
(+ 1 (* alpha (- (* 1/4 alpha) 1/2)))
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))
(/ 2 alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)
(/ 2 alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(* 1/2 alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
1
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
1
(- 1 (* 2 (/ 1 alpha)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(* 1/8 (pow alpha 2))
(* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha))))
(* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha))))
(* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha))))
(* 1/8 (pow alpha 2))
(* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha))))
(* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha))))
(* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha))))
-1/4
(- (* 1/8 alpha) 1/4)
(- (* 1/8 alpha) 1/4)
(- (* 1/8 alpha) 1/4)
(* 1/8 alpha)
(* alpha (- 1/8 (* 1/4 (/ 1 alpha))))
(* alpha (- 1/8 (* 1/4 (/ 1 alpha))))
(* alpha (- 1/8 (* 1/4 (/ 1 alpha))))
(* 1/8 alpha)
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(* -1/16 (pow alpha 3))
(* (pow alpha 3) (- (* 1/8 (/ 1 alpha)) 1/16))
(* (pow alpha 3) (- (* 1/8 (/ 1 alpha)) (+ 1/16 (/ 1/4 (pow alpha 2)))))
(* (pow alpha 3) (- (+ (* 1/8 (/ 1 alpha)) (* 1/2 (/ 1 (pow alpha 3)))) (+ 1/16 (/ 1/4 (pow alpha 2)))))
(* -1/16 (pow alpha 3))
(* -1 (* (pow alpha 3) (- 1/16 (* 1/8 (/ 1 alpha)))))
(* -1 (* (pow alpha 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 alpha))) alpha)))))
(* -1 (* (pow alpha 3) (+ 1/16 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha))) alpha)))))
-1/4
(- (* 1/8 alpha) 1/4)
(- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)
(- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)
(* -1/16 (pow alpha 2))
(* (pow alpha 2) (- (* 1/8 (/ 1 alpha)) 1/16))
(* (pow alpha 2) (- (* 1/8 (/ 1 alpha)) (+ 1/16 (/ 1/4 (pow alpha 2)))))
(* (pow alpha 2) (- (* 1/8 (/ 1 alpha)) (+ 1/16 (/ 1/4 (pow alpha 2)))))
(* -1/16 (pow alpha 2))
(* (pow alpha 2) (- (* 1/8 (/ 1 alpha)) 1/16))
(* (pow alpha 2) (- (* -1 (/ (- (* 1/4 (/ 1 alpha)) 1/8) alpha)) 1/16))
(* (pow alpha 2) (- (* -1 (/ (- (* 1/4 (/ 1 alpha)) 1/8) alpha)) 1/16))
-2
(- beta 2)
(- beta 2)
(- beta 2)
beta
(* beta (- 1 (* 2 (/ 1 beta))))
(* beta (- 1 (* 2 (/ 1 beta))))
(* beta (- 1 (* 2 (/ 1 beta))))
beta
(* -1 (* beta (- (* 2 (/ 1 beta)) 1)))
(* -1 (* beta (- (* 2 (/ 1 beta)) 1)))
(* -1 (* beta (- (* 2 (/ 1 beta)) 1)))
1/8
(+ 1/8 (* -1/16 alpha))
(+ 1/8 (* -1/16 alpha))
(+ 1/8 (* -1/16 alpha))
(* -1/16 alpha)
(* alpha (- (* 1/8 (/ 1 alpha)) 1/16))
(* alpha (- (* 1/8 (/ 1 alpha)) 1/16))
(* alpha (- (* 1/8 (/ 1 alpha)) 1/16))
(* -1/16 alpha)
(* -1 (* alpha (- 1/16 (* 1/8 (/ 1 alpha)))))
(* -1 (* alpha (- 1/16 (* 1/8 (/ 1 alpha)))))
(* -1 (* alpha (- 1/16 (* 1/8 (/ 1 alpha)))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* beta (+ 1/4 (* -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
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 beta beta)) #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) (.f64 (*.f64 beta beta) beta))) (/.f64 #s(literal 1 binary64) beta))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) beta))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 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)))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #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 alpha #s(literal 2 binary64))))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #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 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)))))) 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 (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 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 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) (.f64 beta 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) (-.f64 #s(literal -2 binary64) alpha)) (.f64 (.f64 beta beta) beta)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) (*.f64 beta beta))) #s(literal 1/2 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)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) 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 (fma.f64 alpha #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #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 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) (neg.f64 beta))) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #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))) alpha (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 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 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (.f64 (-.f64 #s(literal -2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (fma.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha (/.f64 alpha (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))) #s(literal -1/2 binary64) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (.f64 (-.f64 #s(literal -2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) #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 #s(literal 2 binary64) beta)))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (+.f64 beta beta) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha)) (+.f64 (+.f64 beta beta) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (+.f64 beta beta) #s(literal 2 binary64))) alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (.f64 (.f64 alpha alpha) alpha)) (fma.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha)) (+.f64 (+.f64 beta beta) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (+.f64 beta beta) #s(literal 2 binary64))) alpha))) (+.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 (/.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (+.f64 beta beta) #s(literal 2 binary64))) alpha) (+.f64 (+.f64 beta beta) #s(literal 2 binary64))) alpha) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 beta beta) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 (+.f64 beta beta) #s(literal 2 binary64)))) alpha)) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (neg.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 (+.f64 beta beta) #s(literal 2 binary64)) (/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 beta beta) #s(literal 2 binary64))))) alpha)) (neg.f64 alpha)))) alpha)
(* -1/8 beta)
(*.f64 #s(literal -1/8 binary64) beta)
(* beta (- (* -1/32 (pow beta 2)) 1/8))
(.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) beta) beta #s(literal -1/8 binary64)) beta)
(* beta (- (* (pow beta 2) (- (* -1/128 (pow beta 2)) 1/32)) 1/8))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) beta) beta #s(literal -1/32 binary64)) beta) beta #s(literal -1/8 binary64)) beta)
(* beta (- (* (pow beta 2) (- (* (pow beta 2) (- (* -1/512 (pow beta 2)) 1/128)) 1/32)) 1/8))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 beta beta) #s(literal -1/128 binary64)) beta) beta #s(literal -1/32 binary64)) (.f64 beta beta) #s(literal -1/8 binary64)) beta)
(/ 1/2 beta)
(/.f64 #s(literal 1/2 binary64) beta)
(/ (+ 1/2 (* 2 (/ 1 (pow beta 2)))) beta)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal 1/2 binary64)) beta)
(/ (+ 1/2 (+ (* 2 (/ 1 (pow beta 2))) (/ 8 (pow beta 4)))) beta)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) beta)
(/ (+ 1/2 (+ (* 2 (/ 1 (pow beta 2))) (+ (* 32 (/ 1 (pow beta 6))) (/ 8 (pow beta 4))))) beta)
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal 1/2 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 beta #s(literal 6 binary64)))) (/.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 4 binary64)))) beta)
(/ 1/2 beta)
(/.f64 #s(literal 1/2 binary64) beta)
(/ (+ 1/2 (* 2 (/ 1 (pow beta 2)))) beta)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal 1/2 binary64)) beta)
(* -1 (/ (- (* -1 (/ (+ 2 (* 8 (/ 1 (pow beta 2)))) (pow beta 2))) 1/2) beta))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 beta beta)) #s(literal 2 binary64)) (.f64 beta beta))) (neg.f64 beta))
(* -1 (/ (- (* -1 (/ (+ 8 (* 32 (/ 1 (pow beta 2)))) (pow beta 4))) (+ 1/2 (* 2 (/ 1 (pow beta 2))))) beta))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) (.f64 beta beta)) #s(literal 8 binary64)) (pow.f64 beta #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 beta beta)) #s(literal 1/2 binary64))) beta)
(* 1/2 beta)
(*.f64 beta #s(literal 1/2 binary64))
(* 1/2 beta)
(*.f64 beta #s(literal 1/2 binary64))
(* 1/2 beta)
(*.f64 beta #s(literal 1/2 binary64))
(* 1/2 beta)
(*.f64 beta #s(literal 1/2 binary64))
(* 1/2 beta)
(*.f64 beta #s(literal 1/2 binary64))
(* 1/2 beta)
(*.f64 beta #s(literal 1/2 binary64))
(* 1/2 beta)
(*.f64 beta #s(literal 1/2 binary64))
(* 1/2 beta)
(*.f64 beta #s(literal 1/2 binary64))
(* 1/2 beta)
(*.f64 beta #s(literal 1/2 binary64))
(* 1/2 beta)
(*.f64 beta #s(literal 1/2 binary64))
(* 1/2 beta)
(*.f64 beta #s(literal 1/2 binary64))
(* 1/2 beta)
(*.f64 beta #s(literal 1/2 binary64))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* 1/2 (* 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)))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #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 alpha #s(literal 2 binary64))))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #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 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)))))) 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 (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 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 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) (.f64 beta 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))))))
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1
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(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/16 binary64)) (.f64 alpha alpha))
(* (pow alpha 2) (- (* -1 (/ (- (* 1/4 (/ 1 alpha)) 1/8) alpha)) 1/16))
(.f64 alpha (.f64 alpha (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) alpha) #s(literal 1/8 binary64)) alpha) #s(literal 1/16 binary64))))
(* (pow alpha 2) (- (* -1 (/ (- (* 1/4 (/ 1 alpha)) 1/8) alpha)) 1/16))
(.f64 alpha (.f64 alpha (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) alpha) #s(literal 1/8 binary64)) alpha) #s(literal 1/16 binary64))))
-2
#s(literal -2 binary64)
(- beta 2)
(-.f64 beta #s(literal 2 binary64))
(- beta 2)
(-.f64 beta #s(literal 2 binary64))
(- beta 2)
(-.f64 beta #s(literal 2 binary64))
beta
(* beta (- 1 (* 2 (/ 1 beta))))
(fma.f64 (/.f64 #s(literal -2 binary64) beta) beta beta)
(* beta (- 1 (* 2 (/ 1 beta))))
(fma.f64 (/.f64 #s(literal -2 binary64) beta) beta beta)
(* beta (- 1 (* 2 (/ 1 beta))))
(fma.f64 (/.f64 #s(literal -2 binary64) beta) beta beta)
beta
(* -1 (* beta (- (* 2 (/ 1 beta)) 1)))
(fma.f64 (/.f64 #s(literal -2 binary64) beta) beta beta)
(* -1 (* beta (- (* 2 (/ 1 beta)) 1)))
(fma.f64 (/.f64 #s(literal -2 binary64) beta) beta beta)
(* -1 (* beta (- (* 2 (/ 1 beta)) 1)))
(fma.f64 (/.f64 #s(literal -2 binary64) beta) beta beta)
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -1/16 alpha))
(fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64))
(+ 1/8 (* -1/16 alpha))
(fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64))
(+ 1/8 (* -1/16 alpha))
(fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64))
(* -1/16 alpha)
(*.f64 #s(literal -1/16 binary64) alpha)
(* alpha (- (* 1/8 (/ 1 alpha)) 1/16))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/16 binary64)) alpha)
(* alpha (- (* 1/8 (/ 1 alpha)) 1/16))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/16 binary64)) alpha)
(* alpha (- (* 1/8 (/ 1 alpha)) 1/16))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/16 binary64)) alpha)
(* -1/16 alpha)
(*.f64 #s(literal -1/16 binary64) alpha)
(* -1 (* alpha (- 1/16 (* 1/8 (/ 1 alpha)))))
(*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) alpha) #s(literal 1/16 binary64)) (neg.f64 alpha))
(* -1 (* alpha (- 1/16 (* 1/8 (/ 1 alpha)))))
(*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) alpha) #s(literal 1/16 binary64)) (neg.f64 alpha))
(* -1 (* alpha (- 1/16 (* 1/8 (/ 1 alpha)))))
(*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) alpha) #s(literal 1/16 binary64)) (neg.f64 alpha))

rewrite315.0ms (4.1%)

Memory

-7.0MiB live, 464.9MiB allocated

Rules

2 856×	`lower-*.f32`
2 854×	`lower-*.f64`
1 784×	`lower-/.f32`
1 783×	`lower-/.f64`
1 734×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	276
0	64	276
1	338	268
2	2842	268
0	8459	264

Stop Event

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

Counts

20 → 200

Calls

Call 1

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

Outputs
(*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 beta beta) beta) (.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 beta beta) beta) (.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 beta #s(literal 1/2 binary64)) (.f64 beta #s(literal 1/2 binary64))) (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 beta beta) beta) (.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1/4 binary64)) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 beta beta) beta) (.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 (.f64 beta #s(literal 1/2 binary64)) (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 (*.f64 beta #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (-.f64 beta #s(literal -2 binary64)))))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 beta beta) beta) (.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 beta beta) beta) (.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
(fma.f64 (/.f64 (.f64 beta #s(literal 1/2 binary64)) (fma.f64 (.f64 beta beta) beta #s(literal 8 binary64))) (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -2 binary64) beta))) (fma.f64 (.f64 (.f64 beta beta) beta) beta #s(literal -16 binary64))) (fma.f64 beta beta #s(literal 4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -2 binary64) beta))) (fma.f64 (.f64 (.f64 beta beta) beta) (.f64 (.f64 beta beta) beta) #s(literal -64 binary64))) (fma.f64 (.f64 (.f64 beta beta) beta) beta (-.f64 #s(literal 16 binary64) (.f64 (.f64 beta beta) #s(literal -4 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (+.f64 #s(literal -2 binary64) beta) #s(literal 1/2 binary64)) (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal -2 binary64) (.f64 beta #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta #s(literal -4 binary64))) (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (+.f64 #s(literal -2 binary64) beta) (*.f64 (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64)) (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal -2 binary64) beta) #s(literal 1/2 binary64))
(fma.f64 (.f64 (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal -2 binary64) (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 beta #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta #s(literal -4 binary64))) #s(literal -2 binary64)) (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 beta (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) #s(literal -2 binary64)) (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 beta #s(literal 1/2 binary64)) (.f64 beta #s(literal 1/2 binary64))) (.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64)))) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) beta)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64)))) (fma.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 beta #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 beta beta) beta) beta #s(literal -16 binary64))) (fma.f64 beta beta #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 beta #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 beta beta) beta) (.f64 (.f64 beta beta) beta) #s(literal -64 binary64))) (fma.f64 (.f64 (.f64 beta beta) beta) beta (-.f64 #s(literal 16 binary64) (.f64 (.f64 beta beta) #s(literal -4 binary64)))))
(*.f64 (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 beta #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta #s(literal -4 binary64))) (.f64 beta #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta #s(literal -4 binary64))))
(*.f64 beta (/.f64 #s(literal 1/2 binary64) (fma.f64 beta beta #s(literal -4 binary64))))
(.f64 beta (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta #s(literal -4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))))
(pow.f64 (/.f64 (/.f64 (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 beta #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 beta #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 beta #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 beta beta #s(literal -4 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) beta)) (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 beta beta))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 beta #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal -1/2 binary64) beta) (-.f64 #s(literal 4 binary64) (.f64 beta beta)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 beta #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 beta #s(literal 1/2 binary64))))
(/.f64 (*.f64 beta #s(literal 1/2 binary64)) (fma.f64 beta beta #s(literal -4 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64))))
(neg.f64 (/.f64 (.f64 beta #s(literal 1/2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 beta beta))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 beta beta #s(literal -4 binary64)) (.f64 beta #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 beta #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 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))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(/.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 alpha alpha) #s(literal -1/64 binary64)) (fma.f64 #s(literal -1/16 binary64) alpha #s(literal -1/8 binary64)))
(/.f64 (fma.f64 #s(literal -1/4096 binary64) (.f64 (.f64 alpha alpha) alpha) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 1/256 binary64) (.f64 alpha alpha)) (*.f64 alpha #s(literal -1/128 binary64)))))
(/.f64 (fma.f64 #s(literal -1/4096 binary64) (.f64 (.f64 alpha alpha) alpha) #s(literal 1/512 binary64)) (fma.f64 #s(literal 1/256 binary64) (.f64 alpha alpha) (-.f64 #s(literal 1/64 binary64) (.f64 alpha #s(literal -1/128 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 alpha alpha) #s(literal -1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/256 binary64) (.f64 alpha alpha) (-.f64 #s(literal 1/64 binary64) (.f64 alpha #s(literal -1/128 binary64)))) (fma.f64 #s(literal -1/4096 binary64) (.f64 (.f64 alpha alpha) alpha) #s(literal 1/512 binary64))))
(fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64))
(fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/256 binary64) (.f64 alpha alpha)) (fma.f64 #s(literal -1/16 binary64) alpha #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal -1/16 binary64) alpha #s(literal -1/8 binary64))))
(+.f64 (*.f64 #s(literal -1/16 binary64) alpha) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) alpha))

eval63.0ms (0.8%)

Memory: -2.9MiB live, 155.9MiB allocated
Compiler: Compiled 10 557 to 907 computations (91.4% saved)

prune144.0ms (1.9%)

Memory

-19.3MiB live, 207.4MiB allocated

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	494	4	498
Fresh	4	6	10
Picked	0	5	5
Done	0	3	3
Total	498	18	516

Accuracy

100.0%

Counts

516 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64))) (+.f64 #s(literal -2 binary64) beta) #s(literal 1/2 binary64)))
✓	74.9%	#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)))
▶	54.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	27.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
	22.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
	27.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))
✓	3.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
▶	9.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
	26.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))
	26.7%	#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))))
▶	51.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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))))
▶	50.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
	51.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
✓	54.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	53.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
✓	53.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
▶	53.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
✓	34.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 274 to 166 computations (39.4% saved)

simplify207.0ms (2.7%)

Memory

27.8MiB live, 335.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))
cost-diff	0	(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))
cost-diff	0	#s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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))))
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 (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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 (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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	(/.f64 beta alpha)
cost-diff	0	#s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
cost-diff	0	#s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
cost-diff	0	(-.f64 #s(literal -2 binary64) alpha)
cost-diff	0	(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
cost-diff	0	(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #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 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Rules

9 287×	`lower-fma.f32`
9 280×	`lower-fma.f64`
3 029×	`lower-*.f64`
3 029×	`lower-*.f32`
841×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	335
0	73	335
1	128	335
2	235	333
3	459	333
4	676	333
5	1087	333
6	1703	333
7	3806	333
0	8182	308

Stop Event

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

Calls

Call 1

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

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

localize227.0ms (2.9%)

Memory

-5.7MiB live, 351.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))
accuracy	0.01953125	(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))
accuracy	16.026138539580888	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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))))
accuracy	18.82566079990271	#s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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)))
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	16.026138539580888	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
accuracy	19.45131603912417	#s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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	(/.f64 beta alpha)
accuracy	43.187246230323844	#s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))
accuracy	46.237259782328195	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
accuracy	0.02734375	(fma.f64 #s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
accuracy	17.37256109861144	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
accuracy	19.608504836864753	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
accuracy	19.657736866758924	#s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64))
accuracy	0	(-.f64 #s(literal -2 binary64) alpha)
accuracy	0.0078125	(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
accuracy	17.37256109861144	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	18.40455289093966	(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

70.0ms	178×	0	valid
50.0ms	37×	2	valid
24.0ms	41×	1	valid

Compiler

Compiled 211 to 55 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-mult: 61.0ms (49.9% of total)

ival-add: 22.0ms (18% of total)

ival-div: 18.0ms (14.7% of total)

adjust: 12.0ms (9.8% of total)

ival-sub: 7.0ms (5.7% of total)

exact: 1.0ms (0.8% of total)

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

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

series23.0ms (0.3%)

Memory

3.5MiB live, 41.8MiB allocated

Counts

20 → 324

Calls

Call 1

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

Calls

81 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	inf	(/ beta alpha)
0.0ms	beta	@	-inf	(/ beta alpha)
0.0ms	beta	@	0	(/ beta alpha)
0.0ms	alpha	@	inf	(/ beta alpha)
0.0ms	beta	@	inf	(+ (* (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) beta) 1/2)

simplify257.0ms (3.3%)

Memory

9.1MiB live, 283.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 403×	`lower-fma.f64`
4 403×	`lower-fma.f32`
3 090×	`lower-*.f64`
3 090×	`lower-*.f32`
2 239×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	393	5366
1	1193	5093
2	3683	4876
0	8129	4578

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

rewrite275.0ms (3.6%)

Memory

-5.3MiB live, 225.4MiB allocated

Rules

3 091×	`lower-*.f64`
3 091×	`lower-*.f32`
2 070×	`lower-fma.f32`
2 063×	`lower-fma.f64`
1 916×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	318
0	73	318
1	391	316
2	3234	316
0	9158	300

Stop Event

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

Counts

20 → 209

Calls

Call 1

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

Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 alpha (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
(.f64 (fma.f64 (/.f64 (.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) alpha)) #s(literal -1/2 binary64))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 alpha alpha) alpha) (.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 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 #s(literal 1/4 binary64) (.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/4 binary64))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))
(pow.f64 (/.f64 (fma.f64 alpha (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) alpha)) #s(literal -1/2 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) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (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 #s(literal 1/4 binary64) (.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 alpha alpha) alpha) (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64)) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 alpha alpha) alpha) (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 alpha alpha) alpha) (.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha))))) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 alpha alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 alpha (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) alpha)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))) beta (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) beta)))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))) (.f64 (.f64 beta beta) beta) #s(literal 1/8 binary64))))
(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))
(fma.f64 beta (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))) beta) (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))) (/.f64 #s(literal 1/4 binary64) (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))))
(+.f64 (*.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))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta))
(.f64 (fma.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) beta #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal -1/4 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (.f64 (.f64 beta beta) beta) #s(literal 1/64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (.f64 beta beta) #s(literal 1/16 binary64)) (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (*.f64 beta #s(literal 1/4 binary64))))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal -1/4 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) beta #s(literal -1/16 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (.f64 beta beta) #s(literal 1/16 binary64)) (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (.f64 beta #s(literal 1/4 binary64)))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (.f64 (.f64 beta beta) beta) #s(literal 1/64 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) beta)) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) beta #s(literal -1/16 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (.f64 (.f64 beta beta) beta) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (.f64 beta beta) #s(literal 1/16 binary64)) (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (.f64 beta #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) beta #s(literal -1/16 binary64)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal -1/4 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (.f64 (.f64 beta beta) beta) #s(literal 1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) beta) (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (*.f64 beta #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (.f64 (.f64 beta beta) beta) #s(literal 1/64 binary64)) (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (.f64 beta beta) #s(literal 1/16 binary64)) (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (.f64 beta #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal -1/4 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) beta #s(literal -1/16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (.f64 beta beta) #s(literal 1/16 binary64)) (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (.f64 beta #s(literal 1/4 binary64)))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) (.f64 (.f64 beta beta) beta) #s(literal 1/64 binary64))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))
(fma.f64 beta (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) #s(literal 1/4 binary64))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta) (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))) beta) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal -1/4 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta) #s(literal 1/4 binary64))
(+.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta))
(.f64 (fma.f64 #s(literal 1/256 binary64) (.f64 beta beta) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64))))
(.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 beta beta) beta) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/256 binary64) (.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64))))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (.f64 beta #s(literal -1/128 binary64)))) (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 beta beta) beta) #s(literal -1/512 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/256 binary64) (.f64 beta beta))) (-.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) beta)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 beta beta) beta) #s(literal -1/512 binary64))) (neg.f64 (fma.f64 #s(literal 1/256 binary64) (.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (.f64 beta #s(literal -1/128 binary64))))))
(/.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)))
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 beta beta) beta) #s(literal -1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 1/256 binary64) (.f64 beta beta)) (*.f64 beta #s(literal -1/128 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 beta beta) beta) #s(literal -1/512 binary64)) (fma.f64 #s(literal 1/256 binary64) (.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (.f64 beta #s(literal -1/128 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/256 binary64) (.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (.f64 beta #s(literal -1/128 binary64)))) (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 beta beta) beta) #s(literal -1/512 binary64))))
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/256 binary64) (.f64 beta beta)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64))))
(+.f64 (*.f64 #s(literal 1/16 binary64) beta) #s(literal -1/8 binary64))
(+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) beta))

eval117.0ms (1.5%)

Memory: -23.6MiB live, 113.4MiB allocated
Compiler: Compiled 10 502 to 888 computations (91.5% saved)

prune160.0ms (2.1%)

Memory

-0.3MiB live, 79.5MiB allocated

Pruning

18 alts after pruning (6 fresh and 12 done)

	Pruned	Kept	Total
New	531	2	533
Fresh	1	4	5
Picked	0	5	5
Done	1	7	8
Total	533	18	551

Accuracy

100.0%

Counts

551 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64))) (+.f64 #s(literal -2 binary64) beta) #s(literal 1/2 binary64)))
✓	74.9%	#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)))
✓	54.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	3.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	27.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
	22.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
	27.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))
✓	9.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
	26.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))
	26.7%	#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))))
✓	51.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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))))
✓	50.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
	51.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
✓	54.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	53.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
✓	53.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
✓	53.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
✓	34.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 418 to 178 computations (57.4% saved)

regimes72.0ms (0.9%)

Memory

7.3MiB live, 44.5MiB 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64)) alpha #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(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.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) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #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) (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 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64))) (+.f64 #s(literal -2 binary64) beta) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (+.f64 beta (-.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs

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

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

Calls

5 calls:

40.0ms	beta
8.0ms	alpha
8.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
7.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
95.2%	2	`alpha`
75.9%	1	`beta`
100.0%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
100.0%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
100.0%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes62.0ms (0.8%)

Memory

-9.1MiB live, 27.9MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

47.0ms

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

7.0ms

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

6.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB allocated

Counts

22 → 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64)) alpha #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(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Outputs

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

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

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

Calls

3 calls:

6.0ms

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

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
99.2%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.2%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.2%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes40.0ms (0.5%)

Memory

-7.5MiB live, 30.4MiB allocated

Counts

21 → 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64)) alpha #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(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))

Outputs

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

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

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

Calls

3 calls:

28.0ms

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

5.0ms

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

5.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes52.0ms (0.7%)

Memory

-24.8MiB live, 24.6MiB allocated

Counts

20 → 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64)) alpha #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(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 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) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))

Outputs

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

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

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

Calls

3 calls:

39.0ms

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

6.0ms

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

5.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
98.9%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.9%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.9%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes38.0ms (0.5%)

Memory

-14.9MiB live, 23.1MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

23.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
5.0ms	alpha
5.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
4.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
72.6%	2	`alpha`
92.9%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
92.9%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.9%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

4.0ms

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

4.0ms

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

4.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
92.6%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
92.6%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.6%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes35.0ms (0.5%)

Memory

-24.3MiB live, 13.7MiB 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64)) alpha #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(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)))

Outputs

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

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

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

Calls

3 calls:

28.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
80.0%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
80.0%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
80.0%	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

16.6MiB live, 16.6MiB allocated

Counts

9 → 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64)) alpha #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(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 beta) (+ (* beta beta) -4)) (+ -2 beta)) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 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:

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

Results

Accuracy	Segments	Branch
74.1%	2	`beta`
74.0%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
74.0%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
74.0%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

-26.9MiB live, 11.3MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(approx (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 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	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
73.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
73.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
73.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
73.9%	2	`beta`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
34.8%	1	`alpha`
34.8%	1	`beta`
34.8%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
34.8%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
34.8%	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

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.005024432553169288

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.005024432553169288

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	0.0009975026084420534	0.9149007567097739
0.0ms	-1.0	-0.005024432553169288

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0009975026084420534	0.9149007567097739
0.0ms	-1.0	-0.005024432553169288

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0009975026084420534	0.9149007567097739
0.0ms	-1.0	-0.005024432553169288

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0009975026084420534	0.9149007567097739
0.0ms	-1.0	-0.005024432553169288

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0009975026084420534	0.9149007567097739
0.0ms	-1.0	-0.005024432553169288

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0009975026084420534	0.9149007567097739
0.0ms	-1.0	-0.005024432553169288

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0009975026084420534	0.9149007567097739
0.0ms	-1.0	-0.005024432553169288

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0009975026084420534	0.9149007567097739
0.0ms	-1.0	-0.005024432553169288

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch20.0ms (0.3%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.021030638183936e-7	21.50197161188748

Samples

5.0ms	92×	0	valid
5.0ms	27×	2	valid
3.0ms	25×	1	valid

Compiler

Compiled 144 to 105 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (35.1% of total)

ival-add: 3.0ms (35.1% of total)

adjust: 2.0ms (23.4% of total)

ival-sub: 1.0ms (11.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0009975026084420534	0.9149007567097739

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify12.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
9×	`sub-neg_binary64`
5×	`*-commutative_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1010
1	119	1010
2	133	1010
3	143	1010
4	152	1010
5	153	1010

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 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 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 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 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 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 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 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 1152921504606847/1152921504606846976 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 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 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 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 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 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 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 1152921504606847/1152921504606846976 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 1152921504606847/1152921504606846976 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))

soundness876.0ms (11.3%)

Memory

-6.4MiB live, 704.8MiB allocated

Rules

5 182×	`lower-fma.f64`
5 182×	`lower-fma.f32`
4 844×	`lower-fma.f64`
4 844×	`lower-fma.f32`
3 024×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2500
1	1394	2354
2	4563	2155
0	8642	2014
0	394	5090
1	1216	4745
2	3386	4612
0	8324	4250

Stop Event

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

Compiler

Compiled 766 to 310 computations (59.5% saved)

preprocess108.0ms (1.4%)

Memory: 0.6MiB live, 246.1MiB allocated
Compiler: Compiled 922 to 142 computations (84.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.3s (16.6%)

explain139.0ms (1.8%)

preprocess322.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify132.0ms (1.7%)

localize166.0ms (2.1%)

series14.0ms (0.2%)

simplify231.0ms (3%)

rewrite249.0ms (3.2%)

eval81.0ms (1%)

prune185.0ms (2.4%)

simplify152.0ms (2%)

localize154.0ms (2%)

series27.0ms (0.3%)

simplify213.0ms (2.7%)

rewrite245.0ms (3.2%)

eval168.0ms (2.2%)

prune87.0ms (1.1%)

simplify245.0ms (3.2%)

localize174.0ms (2.2%)

series52.0ms (0.7%)

simplify221.0ms (2.9%)

rewrite315.0ms (4.1%)

eval63.0ms (0.8%)

prune144.0ms (1.9%)

simplify207.0ms (2.7%)

localize227.0ms (2.9%)

series23.0ms (0.3%)

simplify257.0ms (3.3%)

rewrite275.0ms (3.6%)

eval117.0ms (1.5%)

prune160.0ms (2.1%)

regimes72.0ms (0.9%)

regimes62.0ms (0.8%)

regimes19.0ms (0.2%)

regimes40.0ms (0.5%)

regimes52.0ms (0.7%)

regimes15.0ms (0.2%)

regimes38.0ms (0.5%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

regimes35.0ms (0.5%)

regimes13.0ms (0.2%)

regimes14.0ms (0.2%)

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%)

bsearch20.0ms (0.3%)

bsearch0.0ms (0%)

simplify12.0ms (0.2%)

soundness876.0ms (11.3%)

preprocess108.0ms (1.4%)

end0.0ms (0%)

Profiling