Metrics for Octave 3.8, jcobi/1

analyze2.0ms (0%)

Memory

4.4MiB live, 4.4MiB 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 (14.4%)

Memory

20.7MiB live, 1 889.3MiB allocated

Samples

503.0ms	6 069×	0	valid
221.0ms	754×	2	valid
217.0ms	1 433×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 671.0ms

ival-div: 244.0ms (36.4% of total)

ival-add: 210.0ms (31.3% of total)

adjust: 86.0ms (12.8% of total)

ival-sub: 66.0ms (9.8% of total)

ival->: 37.0ms (5.5% of total)

exact: 14.0ms (2.1% of total)

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

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

Bogosity

preprocess368.0ms (4%)

Memory

23.1MiB live, 218.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

explain166.0ms (1.8%)

Memory

-27.0MiB live, 223.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
63	-	-	`(+.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	63	0

Confusion

	Predicted +	Predicted -
+	63	0
-	0	193

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	63	0	0
-	0	0	193

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	193
1	63

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms	392×	0	valid
12.0ms	86×	1	valid
7.0ms	34×	2	valid

Compiler

Compiled 130 to 44 computations (66.2% saved)

Precisions

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

ival-add: 12.0ms (41.1% of total)

ival-div: 8.0ms (27.4% of total)

adjust: 4.0ms (13.7% of total)

ival-sub: 4.0ms (13.7% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.4%	(/.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)

simplify142.0ms (1.5%)

Memory

-1.5MiB live, 153.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.4%)

Memory

4.2MiB live, 78.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 beta alpha)
✓	accuracy	100.0%	(+.f64 alpha beta)
✓	accuracy	100.0%	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
✓	accuracy	77.5%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

12.0ms	196×	0	valid
8.0ms	43×	1	valid
6.0ms	17×	2	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

adjust: 6.0ms (35.2% of total)

ival-div: 4.0ms (23.4% of total)

ival-add: 4.0ms (23.4% of total)

ival-sub: 2.0ms (11.7% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

6 → 144

Calls

Call 1

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

Outputs
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<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)))))))>
#<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)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<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))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<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)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<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)))))))))>
#<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))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<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)>
#<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)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<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))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 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)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 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))))>
#<alt (+ 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))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 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)>
#<alt (/ (- (+ 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)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ alpha (+ 2 alpha)))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt -1>
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (* -1 alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt beta>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (+ 2 alpha)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt alpha>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>

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)

rewrite372.0ms (4%)

Memory

4.8MiB live, 656.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 458

Calls

Call 1

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

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

simplify409.0ms (4.4%)

Memory

12.5MiB live, 694.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 131

Calls

Call 1

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

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

eval132.0ms (1.4%)

Memory: -50.0MiB live, 177.3MiB allocated
Compiler: Compiled 18 204 to 2 312 computations (87.3% saved)

prune171.0ms (1.9%)

Memory

13.5MiB live, 211.1MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

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

Accuracy

100.0%

Counts

590 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.9%	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
	66.8%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	22.6%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta)) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (.f64 alpha (.f64 alpha alpha)))) (+.f64 #s(literal 1 binary64) beta)) alpha)
▶	24.9%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
▶	25.6%	(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha)
	49.7%	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))
	26.5%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
▶	77.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
	53.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
	49.7%	(.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
▶	37.7%	#s(literal 1 binary64)

Compiler

Compiled 498 to 292 computations (41.4% saved)

simplify332.0ms (3.6%)

Memory

15.2MiB live, 488.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta)
✓	cost-diff	0	(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha)
✓	cost-diff	128	(neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha))
✓	cost-diff	512	(fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
✓	cost-diff	0	(*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
✓	cost-diff	512	(fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) beta)
✓	cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
✓	cost-diff	1216	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))

Rules

10 424×	`lower-fma.f32`
10 418×	`lower-fma.f64`
4 174×	`lower-*.f32`
4 168×	`lower-*.f64`
1 958×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	325
0	60	323
1	117	323
2	323	319
3	1416	306
4	4909	304
0	8232	292

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (1.5%)

Memory

3.2MiB live, 351.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
✓	accuracy	100.0%	(.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))
✓	accuracy	98.8%	(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha)
✓	accuracy	98.7%	(/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
✓	accuracy	100.0%	(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
✓	accuracy	99.9%	(*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
✓	accuracy	98.7%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) beta)
✓	accuracy	100.0%	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
✓	accuracy	77.5%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))

Samples

49.0ms	196×	0	valid
23.0ms	43×	1	valid
10.0ms	17×	2	valid

Compiler

Compiled 333 to 37 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-add: 16.0ms (29.3% of total)

ival-div: 15.0ms (27.4% of total)

ival-mult: 10.0ms (18.3% of total)

adjust: 6.0ms (11% of total)

ival-sub: 6.0ms (11% of total)

exact: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

series57.0ms (0.6%)

Memory

10.4MiB live, 122.1MiB allocated

Counts

20 → 432

Calls

Call 1

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

Outputs
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<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)))))))>
#<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)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<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))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<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)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<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)))))))))>
#<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))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<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)>
#<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)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<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))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (/ 2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha))))))>
#<alt (+ (* beta (- (* -1 (* beta (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha))))))>
#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (- 1 (/ alpha (+ 2 alpha))))) (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (pow beta 2)))) (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 1 (* -1 (/ (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3)))) (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* -1/4 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1/4 (/ (pow (- (* -1 alpha) (+ 2 alpha)) 2) beta))) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1/4 (/ (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2)) beta)) (* 1/2 (/ (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))) beta)))) (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (/ 2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))>
#<alt (+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))>
#<alt (* 2 (/ alpha (+ 2 (* 2 beta))))>
#<alt (* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))>
#<alt (* alpha (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2))))))>
#<alt (* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2))))))))>
#<alt (* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))>
#<alt (* -1 (* alpha (+ (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3))))) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (/ (* (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* alpha (- (* -1 beta) (+ 2 beta)))))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3))))) alpha)) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))>
#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 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)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 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))))>
#<alt (+ 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))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 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)>
#<alt (/ (- (+ 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)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ alpha (+ 2 alpha)))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
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#<alt (+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))))))>
#<alt (+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* 1/2 (* beta (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))))) (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))))))>
#<alt (+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) (* beta (+ (* 1/2 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2)))))))))>
#<alt (/ (pow beta 3) (pow alpha 2))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 3)))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3))))))))>
#<alt (/ (pow beta 3) (pow alpha 2))>
#<alt (* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) beta)) (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))>
#<alt (/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))>
#<alt (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))>
#<alt (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))>
#<alt (+ 1 beta)>
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))>
#<alt (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))>
#<alt (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))>
#<alt (+ 1 beta)>
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))>
#<alt (+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))>
#<alt (+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))>
#<alt (+ 2 alpha)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (/ 2 alpha)>
#<alt (+ (* 2 (/ 1 alpha)) (/ beta alpha))>
#<alt (+ (* 2 (/ 1 alpha)) (/ beta alpha))>
#<alt (+ (* 2 (/ 1 alpha)) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))>
#<alt (/ (+ 2 beta) alpha)>
#<alt (/ (+ 2 beta) alpha)>
#<alt (/ (+ 2 beta) alpha)>
#<alt (/ (+ 2 beta) alpha)>
#<alt (/ (+ 2 beta) alpha)>
#<alt (/ (+ 2 beta) alpha)>
#<alt (/ (+ 2 beta) alpha)>
#<alt (/ (+ 2 beta) alpha)>
#<alt (/ (+ 2 beta) alpha)>
#<alt (/ (+ 2 beta) alpha)>
#<alt (/ (+ 2 beta) alpha)>
#<alt (/ (+ 2 beta) alpha)>
#<alt (* -4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* -1 (* beta (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))))>
#<alt (+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (* beta (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))))) (* -1 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))))>
#<alt (+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) (* beta (+ (* -2 (/ beta (pow alpha 2))) (* -1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))))))))>
#<alt (* -2 (/ (pow beta 3) (pow alpha 2)))>
#<alt (* (pow beta 3) (- (* -1 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* (pow beta 3) (- (+ (* -1 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2)))) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* (pow beta 3) (- (+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 3)))) (+ (* -1 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))))) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* -2 (/ (pow beta 3) (pow alpha 2)))>
#<alt (* -1 (* (pow beta 3) (+ (* -1 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* -1 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) beta))) (* 4 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* -1 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha beta))))) beta))) (* 4 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))>
#<alt (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (pow alpha 2))>
#<alt (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (pow alpha 2))>
#<alt (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (pow alpha 2))>
#<alt (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)>
#<alt (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)>
#<alt (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)>
#<alt (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)>
#<alt (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)>
#<alt (* -1 (/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha))>
#<alt (* -4 (- (* 2 (/ 1 alpha)) 1))>
#<alt (+ (* -4 (- (* 2 (/ 1 alpha)) 1)) (* -1 (* beta (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1))))))>
#<alt (+ (* -4 (- (* 2 (/ 1 alpha)) 1)) (* beta (+ (* -1 (* beta (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 6 (/ 1 alpha))))) (* -1 (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1)))))))>
#<alt (+ (* -4 (- (* 2 (/ 1 alpha)) 1)) (* beta (+ (* -1 (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1)))) (* beta (+ (* -2 (/ beta alpha)) (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 6 (/ 1 alpha)))))))))>
#<alt (* -2 (/ (pow beta 3) alpha))>
#<alt (* (pow beta 3) (- (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 3) (- (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 4 (- (* 2 (/ 1 alpha)) 1))) (pow beta 2)))) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 3) (- (+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 3))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 4 (- (* 2 (/ 1 alpha)) 1))) (pow beta 2))))) (* 2 (/ 1 alpha))))>
#<alt (* -2 (/ (pow beta 3) alpha))>
#<alt (* -1 (* (pow beta 3) (+ (* -1 (/ (- (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1))) beta))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) beta)))) beta))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))>
#<alt (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)>
#<alt (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)>
#<alt (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)>
#<alt (* (+ 2 beta) (+ 2 (* 2 beta)))>
#<alt (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))>
#<alt (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))>
#<alt (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))>
#<alt (* (+ 2 beta) (+ 2 (* 2 beta)))>
#<alt (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))>
#<alt (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))>
#<alt (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))>
#<alt (* 2 (- (* 2 (/ 1 alpha)) 1))>
#<alt (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* beta (- (* 4 (/ 1 alpha)) 1)))>
#<alt (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* beta (- (+ (* 4 (/ 1 alpha)) (/ beta alpha)) 1)))>
#<alt (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* beta (- (+ (* 4 (/ 1 alpha)) (/ beta alpha)) 1)))>
#<alt (/ (pow beta 2) alpha)>
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (/ 4 (* alpha beta))) (/ 1 beta)))>
#<alt (* (pow beta 2) (- (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 2))) (+ (/ 1 alpha) (/ 4 (* alpha beta)))) (/ 1 beta)))>
#<alt (* (pow beta 2) (- (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 2))) (+ (/ 1 alpha) (/ 4 (* alpha beta)))) (/ 1 beta)))>
#<alt (/ (pow beta 2) alpha)>
#<alt (* (pow beta 2) (+ (* -1 (/ (- (* -1 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha)))>
#<alt (* (pow beta 2) (+ (* -1 (/ (- (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* -1 (- (* 2 (/ 1 alpha)) 1))) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha)))>
#<alt (* (pow beta 2) (+ (* -1 (/ (- (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* -1 (- (* 2 (/ 1 alpha)) 1))) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha)))>
#<alt (/ (pow (+ 2 beta) 2) alpha)>
#<alt (/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha)>
#<alt (/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha)>
#<alt (/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha)>
#<alt (* -1 (+ 2 beta))>
#<alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha))>
#<alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha))>
#<alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha))>
#<alt (* -1 (+ 2 beta))>
#<alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha))>
#<alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha))>
#<alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha))>

Calls

108 calls:

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

rewrite374.0ms (4%)

Memory

56.6MiB live, 705.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 202×	`lower-*.f32`
6 196×	`lower-*.f64`
4 082×	`lower-/.f32`
4 066×	`lower-/.f64`
2 534×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	266
0	60	264
1	303	264
2	2802	264
0	9071	260

Stop Event

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

Counts

20 → 577

Calls

Call 1

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

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

simplify459.0ms (5%)

Memory

-29.9MiB live, 624.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 218×	`lower-*.f64`
6 218×	`lower-fma.f64`
6 218×	`lower-fma.f32`
6 218×	`lower-*.f32`
4 818×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1318	10931
1	4313	10584
0	8458	9959

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 426

Calls

Call 1

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

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

eval242.0ms (2.6%)

Memory: -23.5MiB live, 434.8MiB allocated
Compiler: Compiled 39 135 to 4 770 computations (87.8% saved)

prune154.0ms (1.7%)

Memory

-24.8MiB live, 383.7MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1 167	12	1 179
Fresh	1	5	6
Picked	3	2	5
Done	0	0	0
Total	1 171	19	1 190

Accuracy

100.0%

Counts

1 190 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	48.3%	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	25.1%	(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (.f64 alpha alpha))) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -2 binary64) (.f64 alpha alpha))))
	49.5%	(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	75.9%	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
	66.8%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	9.4%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (.f64 alpha (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 alpha beta alpha)))) (.f64 alpha (*.f64 alpha alpha)))
	49.7%	(/.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))
	21.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
	20.4%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
▶	26.5%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
▶	25.6%	(/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) alpha) (+.f64 #s(literal 1 binary64) beta))))
▶	53.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
▶	86.1%	(/.f64 #s(literal 1 binary64) (.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 alpha (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))))
	29.7%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
	53.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
	49.7%	(.f64 (+.f64 (/.f64 (.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
✓	37.7%	#s(literal 1 binary64)
▶	53.0%	#s(literal 1/2 binary64)

Compiler

Compiled 637 to 380 computations (40.3% saved)

simplify448.0ms (4.9%)

Memory

42.3MiB live, 548.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) alpha)
✓	cost-diff	0	(/.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) alpha) (+.f64 #s(literal 1 binary64) beta)))
✓	cost-diff	128	(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) alpha) (+.f64 #s(literal 1 binary64) beta))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) alpha) (+.f64 #s(literal 1 binary64) beta))))
✓	cost-diff	0	(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
✓	cost-diff	1216	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓	cost-diff	192	(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
✓	cost-diff	256	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
✓	cost-diff	576	(.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 alpha (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
✓	cost-diff	1088	(/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))

Rules

9 838×	`lower-fma.f32`
9 832×	`lower-fma.f64`
4 442×	`lower-*.f32`
4 432×	`lower-*.f64`
2 582×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	375
0	69	373
1	134	373
2	409	371
3	2129	355
4	6460	314
0	8645	296

Stop Event

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

Calls

Call 1

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

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

localize221.0ms (2.4%)

Memory

16.5MiB live, 364.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) alpha) (+.f64 #s(literal 1 binary64) beta))))
✓	accuracy	98.8%	(/.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) alpha) (+.f64 #s(literal 1 binary64) beta)))
✓	accuracy	98.7%	(/.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) alpha)
✓	accuracy	100.0%	(+.f64 alpha #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
✓	accuracy	99.9%	(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
✓	accuracy	72.7%	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 alpha (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))))
✓	accuracy	99.8%	(.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 alpha (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
✓	accuracy	97.7%	(.f64 alpha (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
✓	accuracy	84.0%	(/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))

Samples

60.0ms	49×	1	valid
48.0ms	182×	0	valid
22.0ms	24×	2	valid
1.0ms	1×	5	exit

Compiler

Compiled 400 to 42 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-add: 48.0ms (45.1% of total)

ival-div: 24.0ms (22.5% of total)

ival-mult: 15.0ms (14.1% of total)

adjust: 14.0ms (13.2% of total)

ival-sub: 6.0ms (5.6% of total)

exact: 1.0ms (0.9% of total)

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

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

series43.0ms (0.5%)

Memory

2.4MiB live, 81.0MiB allocated

Counts

18 → 348

Calls

Call 1

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

Outputs
#<alt (/ -1 alpha)>
#<alt (- (* 1/2 (/ beta alpha)) (/ 1 alpha))>
#<alt (- (* beta (+ (* -1/2 (/ beta alpha)) (* 1/2 (/ 1 alpha)))) (/ 1 alpha))>
#<alt (- (* beta (+ (* beta (- (* 1/2 (/ beta alpha)) (* 1/2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha)))) (/ 1 alpha))>
#<alt (/ -1/2 alpha)>
#<alt (* -1 (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))))>
#<alt (- (/ 1/2 (* alpha (pow beta 2))) (+ (/ 1/2 (* alpha beta)) (* 1/2 (/ 1 alpha))))>
#<alt (- (* 1/2 (/ 1 (* alpha (pow beta 2)))) (+ (/ 1/2 (* alpha beta)) (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha (pow beta 3)))))))>
#<alt (/ -1/2 alpha)>
#<alt (* -1 (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))))>
#<alt (- (* -1 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))) beta)) (* 1/2 (/ 1 alpha)))>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))) beta)) (* 1/2 (/ 1 alpha))) beta)) (* 1/2 (/ 1 alpha)))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))>
#<alt (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))>
#<alt (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))>
#<alt (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ alpha (+ 2 (* 2 beta))))>
#<alt (* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))>
#<alt (* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))>
#<alt (* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))>
#<alt (* 2 (/ alpha (+ 2 (* 2 beta))))>
#<alt (* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))>
#<alt (* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))>
#<alt (* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* alpha (* beta (+ 1 (/ 1 alpha)))))))>
#<alt (+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (/ 1 alpha))))))))>
#<alt 1>
#<alt (+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))>
#<alt (+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)))>
#<alt (+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (/ (* alpha (+ 1 (/ 1 alpha))) beta) (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 3)))))>
#<alt 1>
#<alt (+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta))) beta)))>
#<alt (+ 1 (* 2 (/ 1 alpha)))>
#<alt (+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (* 2 (/ 1 alpha))))>
#<alt (+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (/ 1 alpha))) (+ 1 (/ 1 alpha))))))>
#<alt (+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (/ 1 alpha)))) (+ 1 (/ 1 alpha))))))>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (+ (* -1 (/ (+ 1 (/ 1 alpha)) (pow beta 2))) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))>
#<alt (- (+ (/ 1 alpha) (+ (/ 1 beta) (+ (/ 1 (* alpha beta)) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow beta 3)))))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (+ (* -1 (/ (- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ 1 (/ 1 alpha))) beta)) (/ 1 alpha))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ 1 (/ 1 alpha))) beta)) (+ 1 (/ 1 alpha))) beta)) (/ 1 alpha))>
#<alt (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)>
#<alt (/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)>
#<alt (/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)>
#<alt (/ 2 (+ 2 (* 2 beta)))>
#<alt (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (/ 2 (+ 2 (* 2 beta)))>
#<alt (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt 4>
#<alt (+ 4 (* 8 beta))>
#<alt (+ 4 (* beta (+ 8 (* 4 beta))))>
#<alt (+ 4 (* beta (+ 8 (* 4 beta))))>
#<alt (* 4 (pow beta 2))>
#<alt (* (pow beta 2) (+ 4 (* 8 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 4 (+ (* 8 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 4 (+ (* 8 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (* 4 (pow beta 2))>
#<alt (* (pow beta 2) (+ 4 (* 8 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 4 (+ (* 8 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 4 (+ (* 8 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt 1>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))>
#<alt (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))>
#<alt 2>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt 1>
#<alt (+ 1 (* -1/2 alpha))>
#<alt (+ 1 (* alpha (- (* 1/4 alpha) 1/2)))>
#<alt (+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))>
#<alt (/ 2 alpha)>
#<alt (/ (- 2 (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 2 alpha)>
#<alt (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))>
#<alt (* 1/2 alpha)>
#<alt (* alpha (+ 1/2 (* -1/4 alpha)))>
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#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* 4 alpha)>
#<alt (+ (* 4 alpha) (* 8 (* alpha beta)))>
#<alt (+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))>
#<alt (+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))>
#<alt (* 4 (* alpha (pow beta 2)))>
#<alt (* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))>
#<alt (* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))>
#<alt (* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))>
#<alt (* 4 (* alpha (pow beta 2)))>
#<alt (* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))>
#<alt (* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))>
#<alt (* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta)))>
#<alt (+ (* -1/2 (/ (* alpha (+ 2 (* 2 beta))) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta))))>
#<alt (+ (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta))) (* alpha (- (* 1/2 (/ (* alpha (+ 2 (* 2 beta))) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ 2 (* 2 beta)) (pow (+ 2 beta) 2))))))>
#<alt (+ (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta))) (* alpha (- (* alpha (- (* -1/2 (/ (* alpha (+ 2 (* 2 beta))) (pow (+ 2 beta) 4))) (* -1/2 (/ (+ 2 (* 2 beta)) (pow (+ 2 beta) 3))))) (* 1/2 (/ (+ 2 (* 2 beta)) (pow (+ 2 beta) 2))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)>
#<alt (/ (- (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)>
#<alt (/ (- (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) (pow alpha 3))) (* 1/2 (+ 2 (* 2 beta)))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))>
#<alt (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (+ (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (/ (* beta (+ 1 (/ 1 alpha))) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))))>
#<alt (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))))>
#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))) (+ (/ (* (+ 1 (/ 1 alpha)) (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (+ 1 (* 2 (/ 1 alpha)))) (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3))))))) (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) (pow beta 2)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (* alpha (* (+ 1 (/ 1 alpha)) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))))) (+ (* alpha (+ 1 (/ 1 alpha))) (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) (pow beta 3)))) (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)) (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) beta))) (* -1 (* alpha (+ 1 (/ 1 alpha))))) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) beta)) (/ (* alpha (* (+ 1 (/ 1 alpha)) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))))) beta))) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))) beta)) (* -1 (* alpha (+ 1 (/ 1 alpha))))) beta)))>
#<alt 2>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* -4 (- (* 2 (/ 1 alpha)) 1))>
#<alt (+ (* -4 (- (* 2 (/ 1 alpha)) 1)) (* -1 (* beta (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1))))))>
#<alt (+ (* -4 (- (* 2 (/ 1 alpha)) 1)) (* beta (+ (* -1 (* beta (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 6 (/ 1 alpha))))) (* -1 (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1)))))))>
#<alt (+ (* -4 (- (* 2 (/ 1 alpha)) 1)) (* beta (+ (* -1 (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1)))) (* beta (+ (* -2 (/ beta alpha)) (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 6 (/ 1 alpha)))))))))>
#<alt (* -2 (/ (pow beta 3) alpha))>
#<alt (* (pow beta 3) (- (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 3) (- (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 4 (- (* 2 (/ 1 alpha)) 1))) (pow beta 2)))) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 3) (- (+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 3))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 4 (- (* 2 (/ 1 alpha)) 1))) (pow beta 2))))) (* 2 (/ 1 alpha))))>
#<alt (* -2 (/ (pow beta 3) alpha))>
#<alt (* -1 (* (pow beta 3) (+ (* -1 (/ (- (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1))) beta))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) beta)))) beta))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))>
#<alt (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)>
#<alt (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)>
#<alt (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)>
#<alt (* (+ 2 beta) (+ 2 (* 2 beta)))>
#<alt (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))>
#<alt (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))>
#<alt (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))>
#<alt (* (+ 2 beta) (+ 2 (* 2 beta)))>
#<alt (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))>
#<alt (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))>
#<alt (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))>

Calls

87 calls:

Time	Variable		Point	Expression
8.0ms	beta	@	-inf	(/ (* (+ 2 beta) (- (- -2 beta) beta)) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))
3.0ms	alpha	@	inf	(/ alpha (+ (* -1/2 (/ (* (+ (/ (+ 2 beta) alpha) -1) (* (+ 2 beta) (- -2 (+ beta beta)))) alpha)) (+ 1 beta)))
2.0ms	beta	@	0	(/ alpha (+ (* -1/2 (/ (* (+ (/ (+ 2 beta) alpha) -1) (* (+ 2 beta) (- -2 (+ beta beta)))) alpha)) (+ 1 beta)))
1.0ms	beta	@	-inf	(/ alpha (+ (* -1/2 (/ (* (+ (/ (+ 2 beta) alpha) -1) (* (+ 2 beta) (- -2 (+ beta beta)))) alpha)) (+ 1 beta)))
1.0ms	beta	@	inf	(/ alpha (+ (* -1/2 (/ (* (+ (/ (+ 2 beta) alpha) -1) (* (+ 2 beta) (- -2 (+ beta beta)))) alpha)) (+ 1 beta)))

rewrite249.0ms (2.7%)

Memory

-25.3MiB live, 471.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 622×	`lower-/.f32`
3 602×	`lower-/.f64`
2 352×	`lower-*.f32`
2 346×	`lower-*.f64`
1 650×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	291
0	68	271
1	335	244
2	3260	138
0	9961	133

Stop Event

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

Counts

18 → 665

Calls

Call 1

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

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

simplify598.0ms (6.5%)

Memory

4.3MiB live, 681.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 420×	`lower-fma.f64`
7 420×	`lower-fma.f32`
6 622×	`lower-*.f64`
6 622×	`lower-*.f32`
5 782×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1017	8520
1	3422	8160
0	8450	7574

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 342

Calls

Call 1

Inputs
(/ -1 alpha)
(- (* 1/2 (/ beta alpha)) (/ 1 alpha))
(- (* beta (+ (* -1/2 (/ beta alpha)) (* 1/2 (/ 1 alpha)))) (/ 1 alpha))
(- (* beta (+ (* beta (- (* 1/2 (/ beta alpha)) (* 1/2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha)))) (/ 1 alpha))
(/ -1/2 alpha)
(* -1 (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))))
(- (/ 1/2 (* alpha (pow beta 2))) (+ (/ 1/2 (* alpha beta)) (* 1/2 (/ 1 alpha))))
(- (* 1/2 (/ 1 (* alpha (pow beta 2)))) (+ (/ 1/2 (* alpha beta)) (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha (pow beta 3)))))))
(/ -1/2 alpha)
(* -1 (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))))
(- (* -1 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))) beta)) (* 1/2 (/ 1 alpha)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))) beta)) (* 1/2 (/ 1 alpha))) beta)) (* 1/2 (/ 1 alpha)))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* alpha (* beta (+ 1 (/ 1 alpha)))))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (/ 1 alpha))))))))
1
(+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (/ (* alpha (+ 1 (/ 1 alpha))) beta) (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 3)))))
1
(+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta))) beta)))
(+ 1 (* 2 (/ 1 alpha)))
(+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (* 2 (/ 1 alpha))))
(+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (/ 1 alpha))) (+ 1 (/ 1 alpha))))))
(+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (/ 1 alpha)))) (+ 1 (/ 1 alpha))))))
(/ 1 alpha)
(+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))
(+ (* -1 (/ (+ 1 (/ 1 alpha)) (pow beta 2))) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(- (+ (/ 1 alpha) (+ (/ 1 beta) (+ (/ 1 (* alpha beta)) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow beta 3)))))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(/ 1 alpha)
(+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))
(+ (* -1 (/ (- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ 1 (/ 1 alpha))) beta)) (/ 1 alpha))
(+ (* -1 (/ (- (* -1 (/ (- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ 1 (/ 1 alpha))) beta)) (+ 1 (/ 1 alpha))) beta)) (/ 1 alpha))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(/ 2 (+ 2 (* 2 beta)))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(/ 2 (+ 2 (* 2 beta)))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
4
(+ 4 (* 8 beta))
(+ 4 (* beta (+ 8 (* 4 beta))))
(+ 4 (* beta (+ 8 (* 4 beta))))
(* 4 (pow beta 2))
(* (pow beta 2) (+ 4 (* 8 (/ 1 beta))))
(* (pow beta 2) (+ 4 (+ (* 8 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 4 (+ (* 8 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* 4 (pow beta 2))
(* (pow beta 2) (+ 4 (* 8 (/ 1 beta))))
(* (pow beta 2) (+ 4 (+ (* 8 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 4 (+ (* 8 (/ 1 beta)) (/ 4 (pow beta 2)))))
(/ 1 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))
2
(+ 2 alpha)
(+ 2 alpha)
(+ 2 alpha)
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
1
(+ 1 (* -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 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 3))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))) alpha))
(/ (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha)
(+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (+ (* beta (+ (* 1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha)) (/ 1 alpha))) (/ 1 alpha)))
(+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (+ (* beta (+ (* 1/2 (/ (* beta (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) alpha)) (+ (* 1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha)) (/ 1 alpha)))) (/ 1 alpha)))
(+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (+ (* beta (+ (* 1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (/ 1 alpha)))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* (pow alpha 2) (pow beta 3)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow alpha 3))))))))
(/ (pow beta 3) (pow alpha 3))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (/ 1 alpha)) beta)) (* -1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))))))
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* 1/2 (* beta (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))))) (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))))))
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) (* beta (+ (* 1/2 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2)))))))))
(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 3)))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3))))))))
(/ (pow beta 3) (pow alpha 2))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) beta)) (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))
(* 2 (/ (pow alpha 3) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))))
(* (pow alpha 3) (+ (* 2 (/ alpha (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))))) (* 2 (/ 1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))))))
(* (pow alpha 3) (+ (* alpha (+ (* alpha (- (* 2 (/ 1 (* (pow (+ 2 beta) 4) (+ 2 (* 2 beta))))) (* 4 (/ (+ 1 beta) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 2)))))) (* 2 (/ 1 (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))))))) (* 2 (/ 1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))))))
(* (pow alpha 3) (+ (* alpha (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (/ (- (* 2 (/ 1 (* (pow (+ 2 beta) 4) (+ 2 (* 2 beta))))) (* 4 (/ (+ 1 beta) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 2))))) (+ 2 beta))) (* 4 (/ (+ 1 beta) (* (pow (+ 2 beta) 5) (pow (+ 2 (* 2 beta)) 2))))))) (* 2 (/ 1 (* (pow (+ 2 beta) 4) (+ 2 (* 2 beta)))))) (* 4 (/ (+ 1 beta) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 2)))))) (* 2 (/ 1 (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))))))) (* 2 (/ 1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))))))
(/ alpha (+ 1 beta))
(* alpha (+ (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))) (/ 1 (+ 1 beta))))
(* alpha (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (+ 2 (* 2 beta)) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) (pow alpha 2))) (/ 1 (+ 1 beta))) (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2))))))
(* alpha (- (+ (* -1 (/ (+ (* 1/4 (/ (* (pow (+ 2 beta) 3) (pow (+ 2 (* 2 beta)) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (+ 2 beta) (* (+ 2 (* 2 beta)) (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (+ 2 (* 2 beta)) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))))) (+ 1 beta)))) (pow alpha 3))) (/ 1 (+ 1 beta))) (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))) (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (+ 2 (* 2 beta)) 2)) (* (pow alpha 2) (pow (+ 1 beta) 3)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (* (pow alpha 2) (pow (+ 1 beta) 2))))))))
(/ alpha (+ 1 beta))
(* -1 (* alpha (- (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))) (/ 1 (+ 1 beta)))))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))) (* 1/4 (/ (* (pow (+ 2 beta) 2) (pow (+ 2 (* 2 beta)) 2)) (* alpha (pow (+ 1 beta) 3))))) (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ 2 beta) (* (+ 2 (* 2 beta)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2))) (* 1/4 (/ (* (pow (+ 2 beta) 2) (pow (+ 2 (* 2 beta)) 2)) (pow (+ 1 beta) 3)))))) (* alpha (+ 1 beta)))) (* 1/4 (/ (* (pow (+ 2 beta) 3) (pow (+ 2 (* 2 beta)) 2)) (* alpha (pow (+ 1 beta) 3))))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2))) (* 1/4 (/ (* (pow (+ 2 beta) 2) (pow (+ 2 (* 2 beta)) 2)) (pow (+ 1 beta) 3))))) alpha)) (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))))
(/ alpha (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))
(+ (* -1 (/ (* alpha (* beta (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))))) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 2))) (/ alpha (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* alpha (pow (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) 2)) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 3))) (* 1/2 (/ (* alpha (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 2)))))) (/ (* alpha (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 2)))) (/ alpha (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) (+ (* -1 (/ (* alpha (pow (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) 2)) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 3))) (* 1/2 (/ (* alpha (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 2))))) (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) (+ (* -1/2 (/ (* alpha (* (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))))) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 3))) (/ 1 (* alpha (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 2))))))) (+ (* -1 (/ (* alpha (pow (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) 2)) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 3))) (* 1/2 (/ (* alpha (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 2)))))) (/ (* alpha (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 2)))) (/ alpha (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))
(/ (pow alpha 3) (pow beta 3))
(/ (+ (* -1/2 (/ (* (pow alpha 5) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) beta)) (pow alpha 3)) (pow beta 3))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (pow alpha 7) (pow (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) 2))) (* (pow alpha 5) (+ 1 (* 1/2 (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))))) (pow beta 2))) (pow alpha 3)) (* 1/2 (/ (* (pow alpha 5) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) beta))) (pow beta 3))
(/ (- (+ (* -1 (/ (+ (* -1/2 (* (pow alpha 2) (* (+ (* -1/4 (* (pow alpha 7) (pow (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) 2))) (* (pow alpha 5) (+ 1 (* 1/2 (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))))) (+ (* -1/2 (* (pow alpha 7) (* (+ 1 (* 1/2 (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))))) (* (pow alpha 5) (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))) (pow beta 3))) (pow alpha 3)) (+ (* -1/4 (/ (* (pow alpha 7) (pow (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) 2)) (pow beta 2))) (+ (* 1/2 (/ (* (pow alpha 5) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) beta)) (/ (* (pow alpha 5) (+ 1 (* 1/2 (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))) (pow beta 2))))) (pow beta 3))
(/ (pow alpha 3) (pow beta 3))
(* -1 (/ (+ (* -1 (pow alpha 3)) (* -1/2 (/ (* (pow alpha 5) (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))) beta))) (pow beta 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* 1/4 (/ (* (pow alpha 7) (pow (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) 2)) beta)) (/ (* (pow alpha 5) (- (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) 1)) beta)) (* -1/2 (* (pow alpha 5) (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))))) beta)) (* -1 (pow alpha 3))) (pow beta 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow alpha 2) (* (+ (* 1/4 (* (pow alpha 7) (pow (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) 2))) (* (pow alpha 5) (- (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) 1))) (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (+ (* -1/2 (/ (* (pow alpha 7) (* (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) (- (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) 1))) beta)) (/ (* (pow alpha 5) (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) beta))) (+ (* 1/4 (* (pow alpha 7) (pow (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) 2))) (* (pow alpha 5) (- (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) 1)))) beta)) (* -1/2 (* (pow alpha 5) (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))))) beta)) (* -1 (pow alpha 3))) (pow beta 3)))
(* -4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* -1 (* beta (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))))
(+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (* beta (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))))) (* -1 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))))
(+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) (* beta (+ (* -2 (/ beta (pow alpha 2))) (* -1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))))))))
(* -2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (- (* -1 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2)))))
(* (pow beta 3) (- (+ (* -1 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2)))) (* 2 (/ 1 (pow alpha 2)))))
(* (pow beta 3) (- (+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 3)))) (+ (* -1 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))))) (* 2 (/ 1 (pow alpha 2)))))
(* -2 (/ (pow beta 3) (pow alpha 2)))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* -1 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) beta))) (* 4 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* -1 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha beta))))) beta))) (* 4 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (pow alpha 2))
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (pow alpha 2))
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (pow alpha 2))
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(* -1 (/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha))
(* -1 (/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha))
(* -1 (/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* 4 alpha)
(+ (* 4 alpha) (* 8 (* alpha beta)))
(+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))
(+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))
(* 4 (* alpha (pow beta 2)))
(* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))
(* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))
(* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))
(* 4 (* alpha (pow beta 2)))
(* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))
(* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta)))
(+ (* -1/2 (/ (* alpha (+ 2 (* 2 beta))) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta))))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta))) (* alpha (- (* 1/2 (/ (* alpha (+ 2 (* 2 beta))) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ 2 (* 2 beta)) (pow (+ 2 beta) 2))))))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) (+ 2 beta))) (* alpha (- (* alpha (- (* -1/2 (/ (* alpha (+ 2 (* 2 beta))) (pow (+ 2 beta) 4))) (* -1/2 (/ (+ 2 (* 2 beta)) (pow (+ 2 beta) 3))))) (* 1/2 (/ (+ 2 (* 2 beta)) (pow (+ 2 beta) 2))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)
(/ (- (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)
(/ (- (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) (pow alpha 3))) (* 1/2 (+ 2 (* 2 beta)))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(+ (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (/ (* beta (+ 1 (/ 1 alpha))) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))) (+ (/ (* (+ 1 (/ 1 alpha)) (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (+ 1 (* 2 (/ 1 alpha)))) (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3))))))) (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))))
1
(+ 1 (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) (pow beta 2)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(- (+ 1 (* -1 (/ (+ (* -1 (* alpha (* (+ 1 (/ 1 alpha)) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))))) (+ (* alpha (+ 1 (/ 1 alpha))) (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) (pow beta 3)))) (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta))))
1
(+ 1 (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)) (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) beta))) (* -1 (* alpha (+ 1 (/ 1 alpha))))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) beta)) (/ (* alpha (* (+ 1 (/ 1 alpha)) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))))) beta))) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))) beta)) (* -1 (* alpha (+ 1 (/ 1 alpha))))) beta)))
2
(+ 2 alpha)
(+ 2 alpha)
(+ 2 alpha)
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* -4 (- (* 2 (/ 1 alpha)) 1))
(+ (* -4 (- (* 2 (/ 1 alpha)) 1)) (* -1 (* beta (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1))))))
(+ (* -4 (- (* 2 (/ 1 alpha)) 1)) (* beta (+ (* -1 (* beta (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 6 (/ 1 alpha))))) (* -1 (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1)))))))
(+ (* -4 (- (* 2 (/ 1 alpha)) 1)) (* beta (+ (* -1 (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1)))) (* beta (+ (* -2 (/ beta alpha)) (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 6 (/ 1 alpha)))))))))
(* -2 (/ (pow beta 3) alpha))
(* (pow beta 3) (- (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 3) (- (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 4 (- (* 2 (/ 1 alpha)) 1))) (pow beta 2)))) (* 2 (/ 1 alpha))))
(* (pow beta 3) (- (+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 3))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 4 (- (* 2 (/ 1 alpha)) 1))) (pow beta 2))))) (* 2 (/ 1 alpha))))
(* -2 (/ (pow beta 3) alpha))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1))) beta))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) beta)))) beta))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(* (+ 2 beta) (+ 2 (* 2 beta)))
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))
(* (+ 2 beta) (+ 2 (* 2 beta)))
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))

Outputs
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(- (* 1/2 (/ beta alpha)) (/ 1 alpha))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta alpha) (/.f64 #s(literal -1 binary64) alpha))
(- (* beta (+ (* -1/2 (/ beta alpha)) (* 1/2 (/ 1 alpha)))) (/ 1 alpha))
(fma.f64 beta (fma.f64 (/.f64 beta alpha) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) alpha)) (/.f64 #s(literal -1 binary64) alpha))
(- (* beta (+ (* beta (- (* 1/2 (/ beta alpha)) (* 1/2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha)))) (/ 1 alpha))
(fma.f64 beta (fma.f64 beta (fma.f64 #s(literal 1/2 binary64) (/.f64 beta alpha) (/.f64 #s(literal -1/2 binary64) alpha)) (/.f64 #s(literal 1/2 binary64) alpha)) (/.f64 #s(literal -1 binary64) alpha))
(/ -1/2 alpha)
(/.f64 #s(literal -1/2 binary64) alpha)
(* -1 (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 alpha beta)) (/.f64 #s(literal -1/2 binary64) alpha))
(- (/ 1/2 (* alpha (pow beta 2))) (+ (/ 1/2 (* alpha beta)) (* 1/2 (/ 1 alpha))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 alpha (.f64 beta beta))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 alpha beta)) (/.f64 #s(literal -1/2 binary64) alpha)))
(- (* 1/2 (/ 1 (* alpha (pow beta 2)))) (+ (/ 1/2 (* alpha beta)) (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha (pow beta 3)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 alpha (.f64 beta beta))) (/.f64 #s(literal -1/2 binary64) (.f64 alpha beta))) (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 #s(literal 1/2 binary64) (.f64 alpha (.f64 beta (.f64 beta beta))))))
(/ -1/2 alpha)
(/.f64 #s(literal -1/2 binary64) alpha)
(* -1 (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 alpha beta)) (/.f64 #s(literal -1/2 binary64) alpha))
(- (* -1 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))) beta)) (* 1/2 (/ 1 alpha)))
(neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 #s(literal -1/2 binary64) (*.f64 alpha beta))) beta) (/.f64 #s(literal 1/2 binary64) alpha)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))) beta)) (* 1/2 (/ 1 alpha))) beta)) (* 1/2 (/ 1 alpha)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 #s(literal -1/2 binary64) (*.f64 alpha beta))) beta)) (neg.f64 beta)) (/.f64 #s(literal -1/2 binary64) alpha))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))
(/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(*.f64 #s(literal 2 binary64) (/.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(.f64 alpha (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(.f64 alpha (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(.f64 alpha (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(*.f64 #s(literal 2 binary64) (/.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(.f64 (+.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal -2 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (neg.f64 alpha))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(.f64 (+.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal -2 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (neg.f64 alpha))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(.f64 (+.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64)) (.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal -2 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (neg.f64 alpha))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha)
(+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(fma.f64 alpha (*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) alpha))) (fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* alpha (* beta (+ 1 (/ 1 alpha)))))))
(fma.f64 beta (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (fma.f64 alpha beta (neg.f64 alpha))) (fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (/ 1 alpha))))))))
(fma.f64 beta (-.f64 (.f64 beta (fma.f64 alpha (.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) alpha))) (+.f64 alpha #s(literal 1 binary64)))) (+.f64 alpha #s(literal 1 binary64))) (fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha))
1
#s(literal 1 binary64)
(+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta))))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (/ (* alpha (+ 1 (/ 1 alpha))) beta) (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 3)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 beta beta))) (+.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (.f64 beta (*.f64 beta beta)))))
1
#s(literal 1 binary64)
(+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (+.f64 alpha #s(literal 1 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (neg.f64 alpha) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (+.f64 alpha #s(literal 1 binary64))) beta)) beta))
(+ 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
(+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (* 2 (/ 1 alpha))))
(+.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) alpha)) (/.f64 #s(literal 2 binary64) alpha)))
(+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (/ 1 alpha))) (+ 1 (/ 1 alpha))))))
(+.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 (fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) beta) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) alpha))) (/.f64 #s(literal 2 binary64) alpha)))
(+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (/ 1 alpha)))) (+ 1 (/ 1 alpha))))))
(+.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 (fma.f64 beta (fma.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) alpha)) (/.f64 #s(literal 1 binary64) alpha)) beta) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) alpha))) (/.f64 #s(literal 2 binary64) alpha)))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta))) (/.f64 #s(literal 1 binary64) beta))
(+ (* -1 (/ (+ 1 (/ 1 alpha)) (pow beta 2))) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (.f64 alpha beta))) (/.f64 #s(literal 1 binary64) beta)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) alpha)) (.f64 beta beta)))
(- (+ (/ 1 alpha) (+ (/ 1 beta) (+ (/ 1 (* alpha beta)) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow beta 3)))))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(+.f64 (/.f64 #s(literal 1 binary64) alpha) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta (.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 beta beta))) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta))) (/.f64 #s(literal 1 binary64) beta))
(+ (* -1 (/ (- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ 1 (/ 1 alpha))) beta)) (/ 1 alpha))
(-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) alpha)))) beta))
(+ (* -1 (/ (- (* -1 (/ (- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ 1 (/ 1 alpha))) beta)) (+ 1 (/ 1 alpha))) beta)) (/ 1 alpha))
(-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) alpha)))) (neg.f64 beta)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) alpha))) beta))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))
(/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))) alpha)
(/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))) alpha)
(/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))) alpha)
(/ 2 (+ 2 (* 2 beta)))
(/.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))
(/ 2 (+ 2 (* 2 beta)))
(/.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 alpha (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))
4
#s(literal 4 binary64)
(+ 4 (* 8 beta))
(fma.f64 beta #s(literal 8 binary64) #s(literal 4 binary64))
(+ 4 (* beta (+ 8 (* 4 beta))))
(fma.f64 beta (fma.f64 beta #s(literal 4 binary64) #s(literal 8 binary64)) #s(literal 4 binary64))
(+ 4 (* beta (+ 8 (* 4 beta))))
(fma.f64 beta (fma.f64 beta #s(literal 4 binary64) #s(literal 8 binary64)) #s(literal 4 binary64))
(* 4 (pow beta 2))
(.f64 (.f64 beta beta) #s(literal 4 binary64))
(* (pow beta 2) (+ 4 (* 8 (/ 1 beta))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) beta)))
(* (pow beta 2) (+ 4 (+ (* 8 (/ 1 beta)) (/ 4 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) beta)) (/.f64 #s(literal 4 binary64) (*.f64 beta beta))))
(* (pow beta 2) (+ 4 (+ (* 8 (/ 1 beta)) (/ 4 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) beta)) (/.f64 #s(literal 4 binary64) (*.f64 beta beta))))
(* 4 (pow beta 2))
(.f64 (.f64 beta beta) #s(literal 4 binary64))
(* (pow beta 2) (+ 4 (* 8 (/ 1 beta))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) beta)))
(* (pow beta 2) (+ 4 (+ (* 8 (/ 1 beta)) (/ 4 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) beta)) (/.f64 #s(literal 4 binary64) (*.f64 beta beta))))
(* (pow beta 2) (+ 4 (+ (* 8 (/ 1 beta)) (/ 4 (pow beta 2)))))
(.f64 (.f64 beta beta) (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) beta)) (/.f64 #s(literal 4 binary64) (*.f64 beta beta))))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(+ (/ 1 alpha) (/ beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
(+ (/ 1 alpha) (/ beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
(+ (/ 1 alpha) (/ beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
(/ beta alpha)
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(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (/ 1 alpha)) beta)) (* -1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
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(+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)) alpha))
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))))))
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(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* 1/2 (* beta (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))))) (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64))) alpha) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) alpha)) (.f64 beta (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)) alpha) (/.f64 #s(literal 6 binary64) (.f64 alpha alpha))))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)) alpha)))
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) (* beta (+ (* 1/2 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2)))))))))
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(/ (pow beta 3) (pow alpha 2))
(/.f64 (.f64 beta (.f64 beta beta)) (*.f64 alpha alpha))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(.f64 (.f64 beta (.f64 beta beta)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha))) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))
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(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 3)))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3))))))))
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(/ (pow beta 3) (pow alpha 2))
(/.f64 (.f64 beta (.f64 beta beta)) (*.f64 alpha alpha))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
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(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(neg.f64 (.f64 (.f64 beta (.f64 beta beta)) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64))) (neg.f64 alpha)) (/.f64 #s(literal -4 binary64) (.f64 alpha alpha))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64))) alpha) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) alpha))) #s(literal -1 binary64)) (neg.f64 beta))) (neg.f64 beta)) (/.f64 #s(literal -1 binary64) (.f64 alpha alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) beta)) (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(neg.f64 (.f64 (.f64 beta (.f64 beta beta)) (+.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64))) (neg.f64 alpha)) (/.f64 #s(literal -4 binary64) (.f64 alpha alpha)))) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)) alpha)) (neg.f64 beta)) (fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64))) alpha) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) alpha))) #s(literal -1 binary64))) beta)) (neg.f64 beta)) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)))))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (.f64 alpha alpha))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (.f64 (.f64 alpha #s(literal -1/2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))) (.f64 alpha alpha))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))
(/.f64 (fma.f64 alpha (fma.f64 (fma.f64 beta #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 alpha beta alpha)) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (.f64 alpha alpha))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))
(/.f64 (fma.f64 alpha (fma.f64 (fma.f64 beta #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 alpha beta alpha)) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (.f64 alpha alpha))
(+ 1 beta)
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(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
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(+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (.f64 alpha alpha)) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha)) beta))
(+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (.f64 alpha alpha)) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha)) beta))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 beta #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))
(-.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)) (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) alpha))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))
(-.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)) (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) alpha))
(* 2 (/ (pow alpha 3) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 alpha (.f64 alpha alpha))) (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(* (pow alpha 3) (+ (* 2 (/ alpha (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))))) (* 2 (/ 1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))))))
(.f64 (.f64 alpha (.f64 alpha alpha)) (fma.f64 #s(literal 2 binary64) (/.f64 alpha (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))
(* (pow alpha 3) (+ (* alpha (+ (* alpha (- (* 2 (/ 1 (* (pow (+ 2 beta) 4) (+ 2 (* 2 beta))))) (* 4 (/ (+ 1 beta) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 2)))))) (* 2 (/ 1 (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))))))) (* 2 (/ 1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))))))
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(* (pow alpha 3) (+ (* alpha (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (/ (- (* 2 (/ 1 (* (pow (+ 2 beta) 4) (+ 2 (* 2 beta))))) (* 4 (/ (+ 1 beta) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 2))))) (+ 2 beta))) (* 4 (/ (+ 1 beta) (* (pow (+ 2 beta) 5) (pow (+ 2 (* 2 beta)) 2))))))) (* 2 (/ 1 (* (pow (+ 2 beta) 4) (+ 2 (* 2 beta)))))) (* 4 (/ (+ 1 beta) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 2)))))) (* 2 (/ 1 (* (pow (+ 2 beta) 3) (+ 2 (* 2 beta))))))) (* 2 (/ 1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))))))
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(/ alpha (+ 1 beta))
(/.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* alpha (+ (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))) (/ 1 (+ 1 beta))))
(.f64 alpha (+.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 alpha (.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 1 binary64)))))
(* alpha (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (+ 2 (* 2 beta)) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) (pow alpha 2))) (/ 1 (+ 1 beta))) (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2))))))
(.f64 alpha (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))) (.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))) (.f64 alpha alpha))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 alpha (.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))))
(* alpha (- (+ (* -1 (/ (+ (* 1/4 (/ (* (pow (+ 2 beta) 3) (pow (+ 2 (* 2 beta)) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (+ 2 beta) (* (+ 2 (* 2 beta)) (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (+ 2 (* 2 beta)) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))))) (+ 1 beta)))) (pow alpha 3))) (/ 1 (+ 1 beta))) (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))) (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (+ 2 (* 2 beta)) 2)) (* (pow alpha 2) (pow (+ 1 beta) 3)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (* (pow alpha 2) (pow (+ 1 beta) 2))))))))
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(/ alpha (+ 1 beta))
(/.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* -1 (* alpha (- (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))) (/ 1 (+ 1 beta)))))
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(* -1 (* alpha (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))) (* 1/4 (/ (* (pow (+ 2 beta) 2) (pow (+ 2 (* 2 beta)) 2)) (* alpha (pow (+ 1 beta) 3))))) (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))))
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(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ 2 beta) (* (+ 2 (* 2 beta)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2))) (* 1/4 (/ (* (pow (+ 2 beta) 2) (pow (+ 2 (* 2 beta)) 2)) (pow (+ 1 beta) 3)))))) (* alpha (+ 1 beta)))) (* 1/4 (/ (* (pow (+ 2 beta) 3) (pow (+ 2 (* 2 beta)) 2)) (* alpha (pow (+ 1 beta) 3))))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2))) (* 1/4 (/ (* (pow (+ 2 beta) 2) (pow (+ 2 (* 2 beta)) 2)) (pow (+ 1 beta) 3))))) alpha)) (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))))
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(/ alpha (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))
(/.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)) alpha)))
(+ (* -1 (/ (* alpha (* beta (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))))) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 2))) (/ alpha (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))
(-.f64 (/.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)) alpha))) (/.f64 (.f64 (.f64 alpha beta) (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64))) alpha) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) alpha))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)) alpha)))))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* alpha (pow (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) 2)) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 3))) (* 1/2 (/ (* alpha (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 2)))))) (/ (* alpha (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 2)))) (/ alpha (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))
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(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) (+ (* -1 (/ (* alpha (pow (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) 2)) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 3))) (* 1/2 (/ (* alpha (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 2))))) (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) (+ (* -1/2 (/ (* alpha (* (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))))) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 3))) (/ 1 (* alpha (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 2))))))) (+ (* -1 (/ (* alpha (pow (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) 2)) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 3))) (* 1/2 (/ (* alpha (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 2)))))) (/ (* alpha (+ 1 (* 1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))) (pow (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) 2)))) (/ alpha (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))))
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(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))))
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(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))) (+ (/ (* (+ 1 (/ 1 alpha)) (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (+ 1 (* 2 (/ 1 alpha)))) (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3))))))) (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))))
(fma.f64 beta (fma.f64 beta (neg.f64 (fma.f64 beta (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) alpha)) (.f64 alpha (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha) (fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 alpha (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 alpha (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha) (fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))) (.f64 alpha (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (.f64 alpha (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))))) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
(- (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) (pow beta 2)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64)) alpha) #s(literal 1 binary64))) (*.f64 beta beta))) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
(- (+ 1 (* -1 (/ (+ (* -1 (* alpha (* (+ 1 (/ 1 alpha)) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))))) (+ (* alpha (+ 1 (/ 1 alpha))) (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) (pow beta 3)))) (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (neg.f64 alpha) #s(literal -1 binary64)) (neg.f64 (+.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64)) alpha) #s(literal 1 binary64))) (+.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64)) alpha) #s(literal 1 binary64))) (.f64 beta (.f64 beta beta)))) (-.f64 (-.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64))) (.f64 beta beta))) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)) (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) beta))) (* -1 (* alpha (+ 1 (/ 1 alpha))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (/.f64 (+.f64 (neg.f64 alpha) #s(literal -1 binary64)) beta) (/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64))) beta)) (+.f64 alpha #s(literal 1 binary64))) beta))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) beta)) (/ (* alpha (* (+ 1 (/ 1 alpha)) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))))) beta))) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))) beta)) (* -1 (* alpha (+ 1 (/ 1 alpha))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64)) alpha) #s(literal 1 binary64)))) beta) (/.f64 (.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64))) beta)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)) (neg.f64 (+.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 1 binary64)) alpha) #s(literal 1 binary64)))) (neg.f64 beta)) (+.f64 alpha #s(literal 1 binary64))) beta))
2
#s(literal 2 binary64)
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha)
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha)
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha)
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha)
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha)
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha)
(* -4 (- (* 2 (/ 1 alpha)) 1))
(fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -4 binary64) #s(literal 4 binary64))
(+ (* -4 (- (* 2 (/ 1 alpha)) 1)) (* -1 (* beta (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1))))))
(fma.f64 beta (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -4 binary64) #s(literal 4 binary64)))
(+ (* -4 (- (* 2 (/ 1 alpha)) 1)) (* beta (+ (* -1 (* beta (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 6 (/ 1 alpha))))) (* -1 (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1)))))))
(fma.f64 beta (-.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)))) (.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)) (/.f64 #s(literal 6 binary64) alpha)))) (fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -4 binary64) #s(literal 4 binary64)))
(+ (* -4 (- (* 2 (/ 1 alpha)) 1)) (* beta (+ (* -1 (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1)))) (* beta (+ (* -2 (/ beta alpha)) (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 6 (/ 1 alpha)))))))))
(fma.f64 beta (fma.f64 beta (-.f64 (/.f64 (.f64 #s(literal -2 binary64) beta) alpha) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)) (/.f64 #s(literal 6 binary64) alpha))) (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64))))) (fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -4 binary64) #s(literal 4 binary64)))
(* -2 (/ (pow beta 3) alpha))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 beta (*.f64 beta beta))) alpha)
(* (pow beta 3) (- (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta (*.f64 beta beta)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64))) (neg.f64 beta)) (/.f64 #s(literal -2 binary64) alpha)))
(* (pow beta 3) (- (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 4 (- (* 2 (/ 1 alpha)) 1))) (pow beta 2)))) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta (.f64 beta beta)) (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64))) (neg.f64 beta)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) #s(literal -4 binary64))) (.f64 beta beta))) (/.f64 #s(literal -2 binary64) alpha)))
(* (pow beta 3) (- (+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 3))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 4 (- (* 2 (/ 1 alpha)) 1))) (pow beta 2))))) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta (.f64 beta beta)) (+.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -4 binary64) #s(literal 4 binary64)) (.f64 beta (.f64 beta beta))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64))) beta)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) #s(literal -4 binary64))) (.f64 beta beta))) (/.f64 #s(literal -2 binary64) alpha)))
(* -2 (/ (pow beta 3) alpha))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 beta (*.f64 beta beta))) alpha)
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal -4 binary64) alpha)) beta)) (neg.f64 (.f64 beta (*.f64 beta beta))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1))) beta))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (+.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)))) beta) (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)))) (/.f64 #s(literal -4 binary64) alpha)) beta)) (neg.f64 (.f64 beta (.f64 beta beta))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) beta)))) beta))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(neg.f64 (.f64 (.f64 beta (*.f64 beta beta)) (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)))) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) #s(literal -4 binary64)) beta)) beta)) (/.f64 #s(literal -4 binary64) alpha)) beta))))
(* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))
(neg.f64 (.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)))
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(/.f64 (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 alpha (+.f64 beta #s(literal 2 binary64)) (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) alpha)
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(/.f64 (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 alpha (+.f64 beta #s(literal 2 binary64)) (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) alpha)
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(/.f64 (.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 alpha (+.f64 beta #s(literal 2 binary64)) (neg.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) alpha)
(* (+ 2 beta) (+ 2 (* 2 beta)))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))
(-.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)))
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))
(-.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)))
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))
(-.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)))
(* (+ 2 beta) (+ 2 (* 2 beta)))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))
(-.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)))
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))
(-.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)))
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))
(-.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)))

eval230.0ms (2.5%)

Memory: 1.8MiB live, 289.4MiB allocated
Compiler: Compiled 27 814 to 3 629 computations (87% saved)

prune285.0ms (3.1%)

Memory

-0.3MiB live, 272.9MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1 033	8	1 041
Fresh	7	5	12
Picked	3	2	5
Done	0	2	2
Total	1 043	17	1 060

Accuracy

100.0%

Counts

1 060 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	48.3%	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	49.5%	(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
	52.1%	(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
▶	51.2%	(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓	75.9%	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
	20.4%	(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
✓	26.5%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
▶	8.7%	(/.f64 beta alpha)
▶	71.4%	(/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
	21.9%	(/.f64 #s(literal 1 binary64) alpha)
▶	26.5%	(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
▶	29.7%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
	53.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
	26.3%	(.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (.f64 alpha beta))))
✓	37.7%	#s(literal 1 binary64)
✓	53.0%	#s(literal 1/2 binary64)

Compiler

Compiled 239 to 180 computations (24.7% saved)

simplify5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

16×	`lower-+.f32`
10×	`lower-+.f64`
8×	`lift-/.f64`
8×	`lower-/.f32`
8×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	50
0	24	50
1	31	50
0	31	50

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (0.6%)

Memory

-9.2MiB live, 110.3MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 beta alpha)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) beta)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓	accuracy	100.0%	(/.f64 beta alpha)
✓	accuracy	100.0%	(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 alpha #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))

Samples

36.0ms

256×

valid

Compiler

Compiled 53 to 18 computations (66% saved)

Precisions

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

ival-div: 7.0ms (50.5% of total)

ival-add: 5.0ms (36.1% of total)

ival-mult: 2.0ms (14.4% of total)

exact: 1.0ms (7.2% of total)

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

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

series4.0ms (0%)

Memory

11.5MiB live, 11.6MiB allocated

Counts

8 → 120

Calls

Call 1

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

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))>
#<alt (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))>
#<alt 2>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (* -1/4 alpha)>
#<alt (* alpha (- (* 1/2 (/ 1 alpha)) 1/4))>
#<alt (* alpha (- (* 1/2 (/ 1 alpha)) 1/4))>
#<alt (* alpha (- (* 1/2 (/ 1 alpha)) 1/4))>
#<alt (* -1/4 alpha)>
#<alt (* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ -1 beta)>
#<alt (/ (- beta 1) beta)>
#<alt (/ (- beta 1) beta)>
#<alt (/ (- beta 1) beta)>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	inf	(/ beta alpha)
0.0ms	alpha	@	-inf	(/ beta alpha)
0.0ms	beta	@	-inf	(/ beta alpha)
0.0ms	alpha	@	inf	(/ beta alpha)
0.0ms	beta	@	0	(/ beta alpha)

rewrite222.0ms (2.4%)

Memory

-9.3MiB live, 357.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 918×	`lower-fma.f32`
3 916×	`lower-fma.f64`
3 464×	`lower-/.f32`
3 456×	`lower-/.f64`
3 006×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	33
0	24	33
1	112	33
2	900	31
0	9081	31

Stop Event

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

Counts

8 → 315

Calls

Call 1

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

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

simplify443.0ms (4.8%)

Memory

-25.8MiB live, 371.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 292×	`lower-fma.f64`
11 292×	`lower-fma.f32`
3 518×	`lower-*.f64`
3 518×	`lower-*.f32`
2 118×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	544
1	241	536
2	524	536
3	1456	490
4	3777	490
5	7588	490
0	8344	475

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 118

Calls

Call 1

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

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

eval95.0ms (1%)

Memory: 7.4MiB live, 129.3MiB allocated
Compiler: Compiled 5 602 to 797 computations (85.8% saved)

prune76.0ms (0.8%)

Memory

-9.6MiB live, 149.8MiB allocated

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	472	3	475
Fresh	3	5	8
Picked	0	5	5
Done	0	4	4
Total	475	17	492

Accuracy

100.0%

Counts

492 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	48.3%	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
	49.5%	(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
	52.1%	(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓	51.2%	(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓	75.9%	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
	20.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
	63.8%	(/.f64 (+.f64 alpha #s(literal -2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))
✓	26.5%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓	8.7%	(/.f64 beta alpha)
✓	71.4%	(/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
	21.9%	(/.f64 #s(literal 1 binary64) alpha)
✓	26.5%	(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
✓	29.7%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
	63.8%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 alpha alpha #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64)))
✓	37.7%	#s(literal 1 binary64)
✓	53.0%	#s(literal 1/2 binary64)

Compiler

Compiled 616 to 247 computations (59.9% saved)

regimes50.0ms (0.5%)

Memory

20.1MiB live, 98.4MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

12.0ms	alpha
10.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
10.0ms	beta
9.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
94.8%	2	`alpha`
99.0%	2	`beta`
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes24.0ms (0.3%)

Memory

10.2MiB live, 49.1MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

10.0ms

(+.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)))

6.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes27.0ms (0.3%)

Memory

1.8MiB live, 42.6MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
6.0ms	beta
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
94.8%	2	`beta`
98.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.5%	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

-10.1MiB live, 29.3MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
98.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.5%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

-12.6MiB live, 27.2MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

7.0ms

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

4.0ms

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

3.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms

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

3.0ms

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

3.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes31.0ms (0.3%)

Memory

-15.4MiB live, 24.4MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

5 calls:

17.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
4.0ms	beta
3.0ms	alpha
3.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
94.3%	2	`beta`
73.6%	2	`alpha`
94.3%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
94.3%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
94.3%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes27.0ms (0.3%)

Memory

-14.6MiB live, 26.1MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

(/.f64 #s(literal 1 binary64) alpha)

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

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

Calls

4 calls:

18.0ms	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
75.6%	2	`beta`
93.4%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
93.4%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
93.4%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms

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

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
93.3%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
93.3%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
93.3%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms

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

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
93.2%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
93.2%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
93.2%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes40.0ms (0.4%)

Memory

-24.2MiB live, 15.5MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1 binary64)

Calls

4 calls:

34.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms	beta
2.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
75.5%	2	`beta`
75.4%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
75.4%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
75.4%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

3 → 2

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
75.2%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
75.2%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
75.2%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
75.2%	2	`beta`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes33.0ms (0.4%)

Memory

-23.6MiB live, 15.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

5 calls:

28.0ms	alpha
1.0ms	beta
1.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
1.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
53.0%	1	`alpha`
53.0%	1	`beta`
53.0%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
53.0%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
53.0%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999382317	-0.9999962121168327

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999382317	-0.9999962121168327

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9998626123577303	-0.01595263289222463

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9998626123577303	-0.01595263289222463

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.10524195283411962	0.9999999999999922
0.0ms	-1.0	-0.9999999999999998

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.10524195283411962	0.9999999999999922
0.0ms	-1.0	-0.9999999999999998

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.10524195283411962	0.9999999999999922

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.10524195283411962	0.9999999999999922
0.0ms	-0.9998626123577303	-0.01595263289222463

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.10524195283411962	0.9999999999999922
0.0ms	-0.9998626123577303	-0.01595263289222463

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.10524195283411962	0.9999999999999922
0.0ms	-0.9998626123577303	-0.01595263289222463

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch28.0ms (0.3%)

Memory

12.0MiB live, 50.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.23524114293796047	5207706096365.619

Samples

12.0ms	41×	1	valid
6.0ms	103×	0	valid
3.0ms	16×	2	valid

Compiler

Compiled 128 to 115 computations (10.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

adjust: 8.0ms (50.4% of total)

ival-div: 3.0ms (18.9% of total)

ival-add: 3.0ms (18.9% of total)

ival-sub: 1.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.10524195283411962	0.9999999999999922

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify24.0ms (0.3%)

Memory

-28.8MiB live, 20.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	360
1	84	360
2	91	360
3	95	360
4	97	360

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007181240342483/9007199254740992 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (/.f64 (+.f64 (/.f64 (-.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 -9007181240342483/9007199254740992 binary64)) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (+.f64 alpha #s(literal -2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))) (+.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)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.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 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007181240342483/9007199254740992 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (/.f64 (+.f64 (/.f64 (-.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 beta alpha) #s(literal 2 binary64))) #s(literal -9007181240342483/9007199254740992 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #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 -9007181240342483/9007199254740992 binary64)) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -9007181240342483/9007199254740992 binary64)) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #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 -1/2 binary64)) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (+.f64 alpha #s(literal -2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (+.f64 alpha #s(literal -2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))) (+.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)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.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 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

soundness927.0ms (10%)

Memory

50.4MiB live, 1 072.4MiB allocated

Rules

9 688×	`lower-fma.f64`
9 688×	`lower-fma.f32`
7 420×	`lower-fma.f64`
7 420×	`lower-fma.f32`
6 622×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	33
0	24	33
1	112	33
2	900	31
0	9081	31
0	1318	10931
1	4313	10584
0	8458	9959
0	1017	8520
1	3422	8160
0	8450	7574
0	10	44
0	16	44
1	91	44
2	748	44
0	9057	43
0	433	2500
1	1394	2354
2	4563	2155
0	8642	2014

Stop Event

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

Compiler

Compiled 920 to 442 computations (52% saved)

preprocess94.0ms (1%)

Memory: -25.8MiB live, 264.3MiB allocated
Compiler: Compiled 754 to 152 computations (79.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample1.3s (14.4%)

preprocess368.0ms (4%)

explain166.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify142.0ms (1.5%)

localize37.0ms (0.4%)

series12.0ms (0.1%)

rewrite372.0ms (4%)

simplify409.0ms (4.4%)

eval132.0ms (1.4%)

prune171.0ms (1.9%)

simplify332.0ms (3.6%)

localize140.0ms (1.5%)

series57.0ms (0.6%)

rewrite374.0ms (4%)

simplify459.0ms (5%)

eval242.0ms (2.6%)

prune154.0ms (1.7%)

simplify448.0ms (4.9%)

localize221.0ms (2.4%)

series43.0ms (0.5%)

rewrite249.0ms (2.7%)

simplify598.0ms (6.5%)

eval230.0ms (2.5%)

prune285.0ms (3.1%)

simplify5.0ms (0.1%)

localize54.0ms (0.6%)

series4.0ms (0%)

rewrite222.0ms (2.4%)

simplify443.0ms (4.8%)

eval95.0ms (1%)

prune76.0ms (0.8%)

regimes50.0ms (0.5%)

regimes24.0ms (0.3%)

regimes27.0ms (0.3%)

regimes14.0ms (0.2%)

regimes15.0ms (0.2%)

regimes11.0ms (0.1%)

regimes31.0ms (0.3%)

regimes27.0ms (0.3%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes40.0ms (0.4%)

regimes7.0ms (0.1%)

regimes33.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch28.0ms (0.3%)

bsearch0.0ms (0%)

simplify24.0ms (0.3%)

soundness927.0ms (10%)

preprocess94.0ms (1%)

end0.0ms (0%)

Profiling