Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

4.3MiB live, 4.3MiB 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)

sample1.5s (14.2%)

Memory

-93.9MiB live, 1 982.5MiB allocated

Samples

546.0ms	1 477×	1	valid
472.0ms	6 073×	0	valid
167.0ms	706×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 931.0ms

ival-div: 404.0ms (43.4% of total)

ival-add: 210.0ms (22.6% of total)

adjust: 110.0ms (11.8% of total)

ival-sub: 102.0ms (11% of total)

ival->: 77.0ms (8.3% of total)

exact: 13.0ms (1.4% of total)

ival-and: 11.0ms (1.2% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain171.0ms (1.6%)

Memory

12.5MiB live, 208.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
68	22	(1.7731093832370371e+109 2.0125746639467757e+155)	53	(1.8607168747913046e+279 6.722779191483458e-302)	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	0	-	0	-	`beta`
0	0	-	0	-	`(+.f64 alpha beta)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	37	(1.7731093832370371e+109 2.0125746639467757e+155)	0	-	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	0	-	0	-	`alpha`
0	0	-	0	-	`(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
0	0	-	0	-	`(-.f64 beta alpha)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`	o/n	37	0
`+.f64`	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`	oflow-left	37	0

Confusion

	Predicted +	Predicted -
+	15	53
-	22	166

Precision

0.40540540540540543

Recall

0.22058823529411764

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	15	0	53
-	22	0	166

Precision?

0.40540540540540543

Recall?

0.22058823529411764

Freqs

test

number	freq
0	219
2	37

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms	382×	0	valid
11.0ms	54×	2	valid
10.0ms	76×	1	valid

Compiler

Compiled 165 to 57 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-add: 10.0ms (36.1% of total)

ival-div: 9.0ms (32.4% of total)

adjust: 5.0ms (18% of total)

ival-sub: 4.0ms (14.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess380.0ms (3.6%)

Memory

-22.1MiB live, 223.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.0%	(/.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)

simplify136.0ms (1.3%)

Memory

-12.2MiB live, 146.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize41.0ms (0.4%)

Memory

5.3MiB live, 82.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0	(+.f64 alpha beta)
accuracy	0.0234375	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	15.390835943569703	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

13.0ms	191×	0	valid
6.0ms	27×	2	valid
5.0ms	38×	1	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-add: 5.0ms (36.2% of total)

ival-div: 4.0ms (29% of total)

adjust: 2.0ms (14.5% of total)

ival-sub: 2.0ms (14.5% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory

-9.4MiB live, 28.3MiB 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 alpha beta)>
#<alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))>

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 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)))>
#<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)))>

Calls

36 calls:

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

simplify422.0ms (4%)

Memory

27.4MiB live, 719.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 131

Calls

Call 1

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

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

rewrite325.0ms (3%)

Memory

23.8MiB live, 586.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 458

Calls

Call 1

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

Outputs
(+.f64 #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)))
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(/.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))))

eval141.0ms (1.3%)

Memory: -4.7MiB live, 225.9MiB allocated
Compiler: Compiled 18 316 to 2 314 computations (87.4% saved)

prune158.0ms (1.5%)

Memory

-47.0MiB live, 190.4MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	579	10	589
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	580	10	590

Accuracy

99.9%

Counts

590 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.0%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	75.5%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	76.8%	(/.f64 (-.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))) #s(literal 2 binary64))
▶	74.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	27.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha))
	26.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha))
	28.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
▶	28.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
	50.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
▶	37.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 298 to 192 computations (35.6% saved)

simplify353.0ms (3.3%)

Memory

19.6MiB live, 582.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64))
cost-diff	512	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
cost-diff	0	(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
cost-diff	512	(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) 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	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
cost-diff	0	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
cost-diff	0	(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
cost-diff	512	(/.f64 (-.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))) #s(literal 2 binary64))
cost-diff	1088	(-.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)))

Rules

15 250×	`lower-fma.f32`
15 246×	`lower-fma.f64`
2 362×	`lower-+.f32`
2 352×	`lower-+.f64`
2 266×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	229
0	59	215
1	105	215
2	188	215
3	384	203
4	765	203
5	2234	203
6	7435	203
0	8178	197

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (1.2%)

Memory

-4.8MiB live, 231.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
accuracy	0	(+.f64 beta alpha)
accuracy	0.01953125	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
accuracy	15.65677866014074	(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64))
accuracy	0	(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))
accuracy	0.02734375	(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
accuracy	0.028601281620653757	(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
accuracy	45.9072252642393	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
accuracy	0	(+.f64 #s(literal 2 binary64) beta)
accuracy	0.006191259768442017	(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
accuracy	0.015625	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
accuracy	16.644032455171974	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
accuracy	39.77976500352447	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0.0078125	(-.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)))
accuracy	0.015625	(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy	0.0234375	(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy	15.39075196419928	(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))

Samples

42.0ms	192×	0	valid
23.0ms	27×	2	valid
17.0ms	37×	1	valid

Compiler

Compiled 213 to 37 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 19.0ms (33.8% of total)

ival-add: 14.0ms (24.9% of total)

adjust: 8.0ms (14.2% of total)

ival-mult: 8.0ms (14.2% of total)

ival-sub: 7.0ms (12.5% of total)

exact: 1.0ms (1.8% of total)

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

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

series26.0ms (0.2%)

Memory

5.8MiB live, 43.5MiB allocated

Counts

20 → 420

Calls

Call 1

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

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

Calls

105 calls:

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

simplify449.0ms (4.2%)

Memory

5.9MiB live, 519.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 000×	`lower-fma.f64`
8 000×	`lower-fma.f32`
4 224×	`lower-+.f64`
4 224×	`lower-+.f32`
4 222×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	816	7940
1	2617	7258
2	7812	7188
0	8659	6853

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 406

Calls

Call 1

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

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

rewrite435.0ms (4.1%)

Memory

-0.6MiB live, 663.3MiB allocated

Rules

6 180×	`lower-/.f32`
6 168×	`lower-/.f64`
4 000×	`lower-fma.f32`
3 996×	`lower-fma.f64`
3 392×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	202
0	59	188
1	321	188
2	2942	188
0	9085	188

Stop Event

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

Counts

20 → 953

Calls

Call 1

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

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

eval225.0ms (2.1%)

Memory: 49.7MiB live, 476.6MiB allocated
Compiler: Compiled 48 338 to 3 763 computations (92.2% saved)

prune171.0ms (1.6%)

Memory

3.2MiB live, 503.3MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1 432	14	1 446
Fresh	3	2	5
Picked	1	4	5
Done	0	0	0
Total	1 436	20	1 456

Accuracy

99.9%

Counts

1 456 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.0%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	76.8%	(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
✓	75.5%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
	10.8%	(/.f64 (-.f64 #s(approx (/ beta (+ beta (+ alpha 2))) (/.f64 (fma.f64 beta (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -2 binary64)) beta) alpha) beta) alpha)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
▶	25.1%	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
	28.3%	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	50.9%	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
✓	74.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	26.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha))
✓	28.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
	23.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- -2 beta) beta)) #s(literal 1 binary64)) alpha))
▶	28.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (/.f64 #s(literal -1/2 binary64) alpha)))
	9.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (* -1/2 (- (- -2 beta) beta)) alpha) (/.f64 beta alpha)))
	28.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (* -1/2 (- (- -2 beta) beta)) alpha) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))))
	46.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
▶	45.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
	46.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
	30.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
▶	50.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
✓	37.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 495 to 304 computations (38.6% saved)

simplify445.0ms (4.2%)

Memory

4.1MiB live, 660.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta)) alpha)
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
cost-diff	0	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (-.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 beta (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta)) alpha) (+.f64 #s(literal 1 binary64) beta))
cost-diff	0	(+.f64 beta beta)
cost-diff	0	(-.f64 #s(literal -2 binary64) (+.f64 beta beta))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (/.f64 #s(literal -1/2 binary64) alpha)))
cost-diff	512	(*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (/.f64 #s(literal -1/2 binary64) alpha))
cost-diff	0	(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64))
cost-diff	0	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
cost-diff	128	(*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
cost-diff	128	(neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
cost-diff	1280	(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))

Rules

19 798×	`lower-fma.f32`
19 790×	`lower-fma.f64`
3 526×	`lower-*.f32`
3 520×	`lower-*.f64`
2 244×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	339
0	82	331
1	155	324
2	285	324
3	702	317
4	1902	307
5	6397	307
0	8370	289

Stop Event

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

Calls

Call 1

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

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

localize252.0ms (2.4%)

Memory

-39.2MiB live, 287.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.028601281620653757	(+.f64 beta (+.f64 #s(literal 2 binary64) beta))
accuracy	0.5621026491025095	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
accuracy	2.5967376663019395	(/.f64 (*.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta)) alpha)
accuracy	46.72524561815569	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta)) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha))
accuracy	0	(-.f64 #s(literal -2 binary64) (+.f64 beta beta))
accuracy	0	(+.f64 beta beta)
accuracy	0.08984375	(*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (/.f64 #s(literal -1/2 binary64) alpha))
accuracy	45.9072252642393	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (/.f64 #s(literal -1/2 binary64) alpha)))
accuracy	0	(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
accuracy	0	(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64))
accuracy	16.644032455171974	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
accuracy	21.598071776054717	#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
accuracy	16.644032455171974	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
accuracy	18.364793969713197	#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))
accuracy	0.0078125	(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
accuracy	0.015625	(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy	0.0234375	(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy	15.39075196419928	(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))

Samples

106.0ms	192×	0	valid
35.0ms	27×	2	valid
21.0ms	37×	1	valid

Compiler

Compiled 278 to 49 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-div: 49.0ms (48.1% of total)

ival-add: 20.0ms (19.6% of total)

ival-mult: 15.0ms (14.7% of total)

adjust: 10.0ms (9.8% of total)

ival-sub: 5.0ms (4.9% of total)

ival-neg: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

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

series52.0ms (0.5%)

Memory

2.0MiB live, 42.0MiB allocated

Counts

21 → 420

Calls

Call 1

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

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

Calls

105 calls:

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

simplify475.0ms (4.4%)

Memory

-3.0MiB live, 435.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 358×	`lower-fma.f64`
8 358×	`lower-fma.f32`
5 138×	`lower-*.f64`
5 138×	`lower-*.f32`
4 688×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	956	8003
1	3029	7551
0	8351	7119

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

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

rewrite379.0ms (3.6%)

Memory

24.0MiB live, 415.9MiB allocated

Rules

4 290×	`lower-/.f32`
4 280×	`lower-/.f64`
3 328×	`lower-*.f32`
3 324×	`lower-*.f64`
3 278×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	290
0	82	282
1	411	275
2	3778	218
0	9561	213

Stop Event

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

Counts

21 → 431

Calls

Call 1

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

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

eval168.0ms (1.6%)

Memory: -18.9MiB live, 160.5MiB allocated
Compiler: Compiled 22 834 to 2 269 computations (90.1% saved)

prune117.0ms (1.1%)

Memory

3.8MiB live, 238.0MiB allocated

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	844	7	851
Fresh	3	8	11
Picked	2	3	5
Done	0	4	4
Total	849	22	871

Accuracy

99.9%

Counts

871 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.0%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	76.8%	(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
✓	75.5%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
	10.8%	(/.f64 (-.f64 #s(approx (/ beta (+ beta (+ alpha 2))) (/.f64 (fma.f64 beta (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -2 binary64)) beta) alpha) beta) alpha)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
	28.3%	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
▶	22.0%	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 #s(approx (+ (* 1/2 (/ (* (+ beta (+ 2 beta)) (- -2 beta)) alpha)) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
	27.4%	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 #s(literal -2 binary64) alpha))))))
▶	23.2%	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 #s(literal 1 binary64) alpha))
✓	74.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	26.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha))
✓	28.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
✓	28.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (/.f64 #s(literal -1/2 binary64) alpha)))
	9.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (* -1/2 (- (- -2 beta) beta)) alpha) (/.f64 beta alpha)))
	28.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (* -1/2 (- (- -2 beta) beta)) alpha) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))))
▶	46.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
✓	45.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
▶	46.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(approx (+ (* beta -1/8) 1/4) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
	30.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
	2.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta (+ (* beta -1/8) 1/4)) 1/2) (.f64 beta (.f64 beta #s(literal -1/8 binary64))))))
✓	50.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
✓	37.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	50.9%	#s(approx (+ (* (/ beta (+ beta (+ alpha 2))) 1/2) (neg (* (+ (/ alpha (+ beta (+ alpha 2))) -1) 1/2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)))

Compiler

Compiled 491 to 304 computations (38.1% saved)

simplify363.0ms (3.4%)

Memory

31.3MiB live, 737.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
cost-diff	0	#s(approx (+ (* 1/2 (/ (* (+ beta (+ 2 beta)) (- -2 beta)) alpha)) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
cost-diff	0	(/.f64 #s(approx (+ (* 1/2 (/ (* (+ beta (+ 2 beta)) (- -2 beta)) alpha)) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
cost-diff	0	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 #s(approx (+ (* 1/2 (/ (* (+ beta (+ 2 beta)) (- -2 beta)) alpha)) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
cost-diff	0	(fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64))
cost-diff	0	(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))
cost-diff	0	#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) alpha)
cost-diff	0	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 #s(literal 1 binary64) alpha))
cost-diff	0	#s(approx (+ (* beta -1/8) 1/4) #s(literal 1/4 binary64))
cost-diff	0	(fma.f64 beta #s(approx (+ (* beta -1/8) 1/4) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(approx (+ (* beta -1/8) 1/4) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(approx (+ (* beta -1/8) 1/4) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
cost-diff	0	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
cost-diff	0	(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
cost-diff	128	(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
cost-diff	1280	(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))

Rules

18 776×	`lower-fma.f32`
18 766×	`lower-fma.f64`
3 112×	`lower-*.f32`
3 110×	`lower-*.f64`
3 050×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	362
0	85	350
1	165	350
2	283	350
3	628	344
4	1563	338
5	4582	331
0	8046	314

Stop Event

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

Calls

Call 1

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

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

localize210.0ms (2%)

Memory

-33.5MiB live, 380.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
accuracy	0.5621026491025095	(/.f64 #s(approx (+ (* 1/2 (/ (* (+ beta (+ 2 beta)) (- -2 beta)) alpha)) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
accuracy	21.370510129725567	#s(approx (+ (* 1/2 (/ (* (+ beta (+ 2 beta)) (- -2 beta)) alpha)) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
accuracy	46.72524561815569	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 #s(approx (+ (* 1/2 (/ (* (+ beta (+ 2 beta)) (- -2 beta)) alpha)) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
accuracy	0.00390625	(fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64))
accuracy	0.021816259768442016	(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))
accuracy	16.644032455171974	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
accuracy	20.889965499241406	#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) alpha)
accuracy	49.1254392699876	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 #s(literal 1 binary64) alpha))
accuracy	0	(fma.f64 beta #s(approx (+ (* beta -1/8) 1/4) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
accuracy	16.644032455171974	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(approx (+ (* beta -1/8) 1/4) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
accuracy	21.598071776054717	#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(approx (+ (* beta -1/8) 1/4) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
accuracy	22.107369433100693	#s(approx (+ (* beta -1/8) 1/4) #s(literal 1/4 binary64))
accuracy	0.0078125	(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
accuracy	0.015625	(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy	0.0234375	(/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
accuracy	15.39075196419928	(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64))

Samples

107.0ms	192×	0	valid
28.0ms	37×	1	valid
23.0ms	27×	2	valid

Compiler

Compiled 262 to 58 computations (77.9% saved)

Precisions

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

ival-add: 58.0ms (49.9% of total)

ival-div: 21.0ms (18.1% of total)

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

adjust: 12.0ms (10.3% of total)

ival-sub: 8.0ms (6.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series19.0ms (0.2%)

Memory

-2.1MiB live, 37.5MiB allocated

Counts

20 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	inf	(+ (* beta (+ (* beta (+ (* beta 1/16) -1/8)) 1/4)) 1/2)
3.0ms	alpha	@	0	(+ 1 (/ -2 alpha))
1.0ms	beta	@	0	(+ (* (/ beta (+ beta (+ alpha 2))) 1/2) (* (+ (/ alpha (+ alpha (+ beta 2))) -1) -1/2))
0.0ms	alpha	@	inf	(+ (* (/ beta (+ beta (+ alpha 2))) 1/2) (* (+ (/ alpha (+ alpha (+ beta 2))) -1) -1/2))
0.0ms	alpha	@	-inf	(+ (* (/ beta (+ beta (+ alpha 2))) 1/2) (* (+ (/ alpha (+ alpha (+ beta 2))) -1) -1/2))

simplify347.0ms (3.3%)

Memory

0.3MiB live, 752.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 952×	`lower-fma.f64`
9 952×	`lower-fma.f32`
5 062×	`lower-*.f64`
5 062×	`lower-*.f32`
4 886×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	902	7369
1	2782	6907
0	8249	6512

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 380

Calls

Call 1

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

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

rewrite291.0ms (2.7%)

Memory

26.3MiB live, 593.0MiB allocated

Rules

4 110×	`lower-*.f32`
4 108×	`lower-*.f64`
3 914×	`lower-fma.f32`
3 904×	`lower-fma.f64`
3 224×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	325
0	85	313
1	495	313
2	4225	313
0	8122	300

Stop Event

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

Counts

20 → 289

Calls

Call 1

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

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

eval132.0ms (1.2%)

Memory: -8.7MiB live, 180.9MiB allocated
Compiler: Compiled 17 910 to 1 678 computations (90.6% saved)

prune159.0ms (1.5%)

Memory

5.6MiB live, 207.9MiB allocated

Pruning

22 alts after pruning (11 fresh and 11 done)

	Pruned	Kept	Total
New	665	4	669
Fresh	3	7	10
Picked	1	4	5
Done	0	7	7
Total	669	22	691

Accuracy

99.9%

Counts

691 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.0%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	76.8%	(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
	10.8%	(fma.f64 #s(approx (/ beta (+ beta (+ alpha 2))) (/.f64 (fma.f64 beta (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -2 binary64)) beta) alpha) beta) alpha)) #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
✓	75.5%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
	28.3%	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
✓	22.0%	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 #s(approx (+ (* 1/2 (/ (* (+ beta (+ 2 beta)) (- -2 beta)) alpha)) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
	22.0%	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha #s(approx (+ (* 1/2 (/ (* (+ beta (+ 2 beta)) (- -2 beta)) alpha)) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))))
✓	23.2%	#s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 #s(literal 1 binary64) alpha))
✓	74.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	26.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha))
✓	28.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
✓	28.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (/.f64 #s(literal -1/2 binary64) alpha)))
	9.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (* -1/2 (- (- -2 beta) beta)) alpha) (/.f64 beta alpha)))
	28.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (* -1/2 (- (- -2 beta) beta)) alpha) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))))
✓	46.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
✓	45.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
✓	46.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(approx (+ (* beta -1/8) 1/4) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
	30.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
	2.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta (+ (* beta -1/8) 1/4)) 1/2) (.f64 beta (.f64 beta #s(literal -1/8 binary64))))))
✓	50.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
✓	37.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	50.9%	#s(approx (+ (* (/ beta (+ beta (+ alpha 2))) 1/2) (* (+ (/ alpha (+ alpha (+ beta 2))) -1) -1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)))

Compiler

Compiled 719 to 282 computations (60.8% saved)

regimes64.0ms (0.6%)

Memory

-5.4MiB live, 82.5MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

18.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
17.0ms	beta
10.0ms	alpha
8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
8.0ms	(/.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
93.4%	2	`alpha`
76.8%	1	`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)

regimes38.0ms (0.4%)

Memory

4.8MiB live, 44.2MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

23.0ms

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

7.0ms

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

7.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes42.0ms (0.4%)

Memory

-5.1MiB live, 33.6MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

28.0ms

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

6.0ms

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

6.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes38.0ms (0.4%)

Memory

-11.2MiB live, 29.4MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

24.0ms

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

7.0ms

(/.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
99.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.5%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes18.0ms (0.2%)

Memory

26.3MiB live, 26.3MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms

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

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
98.3%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.3%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.3%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes38.0ms (0.4%)

Memory

-16.5MiB live, 20.4MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms

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

4.0ms

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

4.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms

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

4.0ms

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes33.0ms (0.3%)

Memory

-25.3MiB live, 11.6MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

26.0ms

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
70.2%	3	`alpha`
92.4%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
92.4%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.4%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
92.2%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
92.2%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.2%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
92.1%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
92.1%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.1%	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

-27.1MiB live, 10.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

24.0ms	beta
2.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
73.2%	2	`beta`
78.0%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
78.0%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
78.0%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
73.2%	2	`beta`
73.1%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
73.1%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
73.1%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
37.8%	1	`alpha`
37.8%	1	`beta`
37.8%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
37.8%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
37.8%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999996383118533	-0.9999866056552978

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999996383118533	-0.9999866056552978

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999996383118533	-0.9999866056552978

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999986167605	-0.9999996383118533

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999866056552978	-0.2243519657344046

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00022492444037055064	0.9999975544527787
0.0ms	-0.9999866056552978	-0.2243519657344046

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00022492444037055064	0.9999975544527787
0.0ms	-0.9999866056552978	-0.2243519657344046

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00022492444037055064	0.9999975544527787
0.0ms	-0.9999866056552978	-0.2243519657344046

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch8.0ms (0.1%)

Memory

-43.1MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00022492444037055064	0.9999975544527787
8.0ms	-0.9999866056552978	-0.2243519657344046

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00022492444037055064	0.9999975544527787
0.0ms	-0.9999866056552978	-0.2243519657344046

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00022492444037055064	0.9999975544527787
0.0ms	-0.9999866056552978	-0.2243519657344046

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00022492444037055064	0.9999975544527787
0.0ms	-0.9999866056552978	-0.2243519657344046

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch20.0ms (0.2%)

Memory

24.5MiB live, 24.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.77412789208591e-6	817810.8733704659

Samples

7.0ms	125×	0	valid
3.0ms	16×	2	valid
2.0ms	19×	1	valid

Compiler

Compiled 158 to 115 computations (27.2% saved)

Precisions

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

ival-div: 3.0ms (37.5% of total)

ival-add: 3.0ms (37.5% of total)

adjust: 1.0ms (12.5% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.00022492444037055064	0.9999975544527787

Samples

4.0ms

128×

valid

Compiler

Compiled 106 to 80 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (63.1% of total)

ival-add: 1.0ms (63.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify19.0ms (0.2%)

Memory

-16.1MiB live, 21.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	1090
1	149	1090
2	161	1090
3	169	1090
4	172	1090

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 #s(literal -2 binary64) alpha)))))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007197453301141/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (+ (* (/ beta (+ beta (+ alpha 2))) 1/2) (neg (* (+ (/ alpha (+ beta (+ alpha 2))) -1) 1/2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- -2 beta) beta)) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- -2 beta) beta)) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- -2 beta) beta)) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (* -1/2 (- (- -2 beta) beta)) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha)) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 #s(literal -2 binary64) alpha)))))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 #s(literal -2 binary64) alpha)))))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007197453301141/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -9007197453301141/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (+ (* (/ beta (+ beta (+ alpha 2))) 1/2) (neg (* (+ (/ alpha (+ beta (+ alpha 2))) -1) 1/2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (+ (* (/ beta (+ beta (+ alpha 2))) 1/2) (neg (* (+ (/ alpha (+ beta (+ alpha 2))) -1) 1/2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- -2 beta) beta)) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- -2 beta) beta)) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- -2 beta) beta)) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- -2 beta) beta)) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- -2 beta) beta)) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- -2 beta) beta)) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (* -1/2 (- (- -2 beta) beta)) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (* -1/2 (- (- -2 beta) beta)) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

soundness1.7s (15.6%)

Memory

-2.6MiB live, 1 148.2MiB allocated

Rules

9 688×	`lower-fma.f64`
9 688×	`lower-fma.f32`
8 358×	`lower-fma.f64`
8 358×	`lower-fma.f32`
8 000×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	202
0	59	188
1	321	188
2	2942	188
0	9085	188
0	433	2500
1	1394	2354
2	4563	2155
0	8642	2014
0	10	44
0	16	44
1	91	44
2	748	44
0	9057	43
0	956	8003
1	3029	7551
0	8351	7119
0	816	7940
1	2617	7258
2	7812	7188
0	8659	6853
0	55	290
0	82	282
1	411	275
2	3778	218
0	9561	213
0	62	325
0	85	313
1	495	313
2	4225	313
0	8122	300

Stop Event

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

Compiler

Compiled 1 292 to 501 computations (61.2% saved)

preprocess87.0ms (0.8%)

Memory: 29.9MiB live, 147.1MiB allocated
Compiler: Compiled 1 076 to 186 computations (82.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.5s (14.2%)

explain171.0ms (1.6%)

preprocess380.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify136.0ms (1.3%)

localize41.0ms (0.4%)

series14.0ms (0.1%)

simplify422.0ms (4%)

rewrite325.0ms (3%)

eval141.0ms (1.3%)

prune158.0ms (1.5%)

simplify353.0ms (3.3%)

localize124.0ms (1.2%)

series26.0ms (0.2%)

simplify449.0ms (4.2%)

rewrite435.0ms (4.1%)

eval225.0ms (2.1%)

prune171.0ms (1.6%)

simplify445.0ms (4.2%)

localize252.0ms (2.4%)

series52.0ms (0.5%)

simplify475.0ms (4.4%)

rewrite379.0ms (3.6%)

eval168.0ms (1.6%)

prune117.0ms (1.1%)

simplify363.0ms (3.4%)

localize210.0ms (2%)

series19.0ms (0.2%)

simplify347.0ms (3.3%)

rewrite291.0ms (2.7%)

eval132.0ms (1.2%)

prune159.0ms (1.5%)

regimes64.0ms (0.6%)

regimes38.0ms (0.4%)

regimes42.0ms (0.4%)

regimes38.0ms (0.4%)

regimes18.0ms (0.2%)

regimes38.0ms (0.4%)

regimes12.0ms (0.1%)

regimes33.0ms (0.3%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes31.0ms (0.3%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (0.2%)

bsearch10.0ms (0.1%)

simplify19.0ms (0.2%)

soundness1.7s (15.6%)

preprocess87.0ms (0.8%)

end0.0ms (0%)

Profiling