Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

5.2MiB live, 5.2MiB 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)

sample1.4s (12.2%)

Memory

61.3MiB live, 2 099.3MiB allocated

Samples

614.0ms	6 091×	0	valid
271.0ms	1 424×	1	valid
182.0ms	741×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 814.0ms

ival-add: 277.0ms (34% of total)

ival-div: 266.0ms (32.7% of total)

adjust: 134.0ms (16.5% of total)

ival-sub: 73.0ms (9% of total)

ival->: 38.0ms (4.7% of total)

exact: 13.0ms (1.6% of total)

ival-and: 11.0ms (1.4% of total)

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

Bogosity

explain134.0ms (1.2%)

Memory

-22.7MiB live, 297.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
76	1	(382.56713640907844 -1.6224420611736006e-136)	-	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	0	-	-	`beta`
0	0	-	-	`(+.f64 alpha beta)`
0	0	-	-	`#s(literal 1 binary64)`
0	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	-	-	`alpha`
0	0	-	-	`(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
0	0	-	-	`(-.f64 beta alpha)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`	cancellation	77	0

Confusion

	Predicted +	Predicted -
+	76	0
-	1	179

Precision

0.987012987012987

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	76	0	0
-	1	0	179

Precision?

0.987012987012987

Recall?

1.0

Freqs

test

number	freq
0	179
1	77

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms	368×	0	valid
12.0ms	58×	2	valid
12.0ms	86×	1	valid

Compiler

Compiled 115 to 34 computations (70.4% saved)

Precisions

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

ival-div: 13.0ms (39.9% of total)

ival-add: 10.0ms (30.7% of total)

adjust: 5.0ms (15.3% of total)

ival-sub: 4.0ms (12.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess366.0ms (3.1%)

Memory

-1.6MiB live, 123.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.2%	(/.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)

simplify123.0ms (1.1%)

Memory

29.2MiB live, 102.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize57.0ms (0.5%)

Memory

-9.9MiB live, 101.7MiB 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	0.01953125	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	17.111721627344558	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

26.0ms	184×	0	valid
11.0ms	29×	2	valid
6.0ms	43×	1	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

adjust: 8.0ms (37.6% of total)

ival-div: 6.0ms (28.2% of total)

ival-add: 5.0ms (23.5% of total)

ival-sub: 2.0ms (9.4% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory

-6.6MiB live, 27.2MiB 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
4.0ms	alpha	@	-inf	(+ (+ alpha beta) 2)
1.0ms	alpha	@	-inf	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	alpha	@	0	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	beta	@	inf	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	alpha	@	inf	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)

simplify348.0ms (3%)

Memory

-22.3MiB live, 482.7MiB 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 (fma.f64 beta (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 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)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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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)

rewrite249.0ms (2.1%)

Memory

30.6MiB live, 499.5MiB 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))))

eval140.0ms (1.2%)

Memory: -26.6MiB live, 221.8MiB allocated
Compiler: Compiled 18 316 to 2 319 computations (87.3% saved)

prune173.0ms (1.5%)

Memory

50.3MiB live, 233.0MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	573	16	589
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	574	16	590

Accuracy

99.9%

Counts

590 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.2%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	57.4%	(/.f64 (fma.f64 (fma.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) alpha)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	33.6%	(/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 alpha (.f64 alpha alpha) (.f64 beta (.f64 beta beta)))) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (/.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	60.8%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	39.9%	(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (/.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))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	72.9%	(/.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))
	73.3%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 2 binary64))
▶	74.2%	(/.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))
▶	69.2%	(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (-.f64 beta (/.f64 (*.f64 alpha beta) beta))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	72.6%	(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
	70.6%	#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)))
	29.8%	#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))
	28.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha))
	31.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	46.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
▶	38.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 820 to 406 computations (50.5% saved)

simplify302.0ms (2.6%)

Memory

-35.7MiB live, 451.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (/.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))))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	512	(+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (/.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)))))
cost-diff	2816	(fma.f64 (/.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (/.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))))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (- beta alpha) (-.f64 beta (/.f64 (*.f64 alpha beta) beta))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff	0	(+.f64 (/.f64 #s(approx (- beta alpha) (-.f64 beta (/.f64 (*.f64 alpha beta) beta))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (-.f64 beta (/.f64 (*.f64 alpha beta) beta))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	1024	(/.f64 (*.f64 alpha beta) beta)
cost-diff	0	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
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

14 810×	`lower-fma.f32`
14 800×	`lower-fma.f64`
4 978×	`lower-*.f32`
4 968×	`lower-*.f64`
2 884×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	490
0	88	450
1	160	436
2	354	407
3	1438	373
4	5315	373
0	8054	364

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

localize225.0ms (1.9%)

Memory

37.7MiB live, 349.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.16826881092597978	(/.f64 #s(literal 1 binary64) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
accuracy	19.643132843224095	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (/.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)))))
accuracy	23.69076653098545	(fma.f64 (/.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (/.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))))) #s(literal 1 binary64))
accuracy	26.75457895899005	(/.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))
accuracy	0	#s(approx (- beta alpha) (-.f64 beta (/.f64 (*.f64 alpha beta) beta)))
accuracy	0.01953125	(/.f64 #s(approx (- beta alpha) (-.f64 beta (/.f64 (*.f64 alpha beta) beta))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	16.720482723529575	(/.f64 (*.f64 alpha beta) beta)
accuracy	17.111721627344558	(+.f64 (/.f64 #s(approx (- beta alpha) (-.f64 beta (/.f64 (*.f64 alpha beta) beta))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy	0	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
accuracy	0	(+.f64 alpha #s(literal 2 binary64))
accuracy	0.01953125	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy	17.10934009272957	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	39.33954749459275	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0	(+.f64 alpha #s(literal 2 binary64))
accuracy	0.0078125	(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy	0.015625	(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy	17.137325688102635	(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))

Samples

81.0ms	184×	0	valid
44.0ms	43×	1	valid
29.0ms	29×	2	valid

Compiler

Compiled 480 to 48 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-div: 52.0ms (48.5% of total)

ival-add: 22.0ms (20.5% of total)

ival-mult: 18.0ms (16.8% of total)

adjust: 9.0ms (8.4% of total)

ival-sub: 5.0ms (4.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series116.0ms (1%)

Memory

-27.0MiB live, 108.9MiB allocated

Counts

22 → 516

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 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))>
#<alt (-.f64 beta alpha)>
#<alt (/.f64 (*.f64 alpha beta) beta)>
#<alt (/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (-.f64 beta (/.f64 (*.f64 alpha beta) beta))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))>
#<alt (+.f64 (/.f64 #s(approx (- beta alpha) (-.f64 beta (/.f64 (*.f64 alpha beta) beta))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (/.f64 #s(approx (- beta alpha) (-.f64 beta (/.f64 (*.f64 alpha beta) beta))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))>
#<alt (fma.f64 (/.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (/.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))))) #s(literal 1 binary64))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (/.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)))))>
#<alt (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))>
#<alt (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (/.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))))) #s(literal 1 binary64)) #s(literal 2 binary64))>
#<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 alpha #s(literal 2 binary64))>
#<alt #s(approx (- beta alpha) (-.f64 beta (/.f64 (*.f64 alpha beta) beta)))>
#<alt (/.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (*.f64 alpha (+.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)))))))>
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#<alt (pow alpha 2)>
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#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (* -1 (/ (pow alpha 3) (pow beta 3)))))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (* 8 (/ 1 (pow beta 3))) (+ (/ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (* 2 alpha))) (pow beta 2)) (+ (/ (* (+ alpha (* 2 alpha)) (- (* -1 (pow alpha 2)) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (* 2 alpha)))))) (pow beta 3)) (+ (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (* 2 alpha))) (pow beta 3)) (/ (pow alpha 3) (pow beta 3)))))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (+ alpha (* -1 alpha)) beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -1 (pow alpha 2)) (pow alpha 2)) beta))) (+ (* -2 (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ alpha (* 2 alpha)) (- (* -1 (+ alpha (* -1 alpha))) (+ alpha (* 2 alpha)))) beta)) (* -1 (/ (pow alpha 2) beta))))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (+ alpha (* 2 alpha)))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* -1 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ alpha (* -1 alpha))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) (* -1 (/ (pow alpha 3) beta))) (+ (* -1 (/ (* (+ alpha (* 2 alpha)) (- (* -1 (+ (* -1 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ alpha (* -1 alpha))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) beta)) (+ (* -1 (/ (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 (+ alpha (* -1 alpha))) (+ alpha (* 2 alpha)))) beta)) (+ (* 8 (/ 1 beta)) (/ (pow alpha 3) beta))))) beta))) beta)))>
#<alt (/ (pow beta 3) (+ 8 (pow beta 3)))>
#<alt (+ (* alpha (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (/ (pow beta 3) (+ 8 (pow beta 3))))>
#<alt (+ (* alpha (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (+ (* alpha (- (+ (* -1 (/ beta (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (pow beta 3) (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (/ (pow beta 2) (+ 8 (pow beta 3))))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (/ (pow beta 3) (+ 8 (pow beta 3))))>
#<alt (+ (* alpha (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (+ (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ beta (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (pow beta 3) (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3))) (/ (pow beta 3) (pow (+ 8 (pow beta 3)) 2))))))) (+ (* -1 (/ beta (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3))))) (+ (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (pow beta 3) (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (/ (pow beta 2) (+ 8 (pow beta 3))))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (/ (pow beta 3) (+ 8 (pow beta 3))))>
#<alt -1>
#<alt (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha))))>
#<alt (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (+ beta (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) (pow alpha 2))) (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 beta))))) (pow alpha 2))))))>
#<alt (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3)))))) (+ 1 (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 3))) (+ (* -1 (/ (+ beta (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) (pow alpha 2))) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (pow beta 2)) (pow beta 2)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 3)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 beta))))) (pow alpha 3)))))))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 (+ beta (* -1 beta))) (+ beta (* 2 beta))) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (* -1 (+ (* -1 (pow beta 2)) (pow beta 2))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (* -1 beta))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (+ (* -1 (+ (* -1 (pow beta 2)) (pow beta 2))) (* -1 (/ (- (* -1 (pow beta 3)) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ (* -1 (pow beta 2)) (pow beta 2))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (* -1 beta))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (* -1 beta))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (* -1 beta))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) 1)>
#<alt (/ 1 (pow alpha 2))>
#<alt (+ (* -1 (/ beta (pow alpha 3))) (/ 1 (pow alpha 2)))>
#<alt (+ (* beta (- (/ (pow beta 2) (pow alpha 5)) (/ 1 (pow alpha 3)))) (/ 1 (pow alpha 2)))>
#<alt (+ (* beta (- (* (pow beta 2) (+ (* -1 (/ beta (pow alpha 6))) (/ 1 (pow alpha 5)))) (/ 1 (pow alpha 3)))) (/ 1 (pow alpha 2)))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ alpha beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow alpha 2)) (pow alpha 2)) (pow beta 2)))) (/ alpha beta)) (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ (* -1 (pow alpha 2)) (pow alpha 2)))) (* -1 (pow alpha 3))) (pow beta 3)))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ alpha beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow alpha 2) beta)) (/ (pow alpha 2) beta)) (* -1 alpha)) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* alpha (+ (* -1 (pow alpha 2)) (pow alpha 2))) beta) (/ (pow alpha 3) beta)) (+ (* -1 (pow alpha 2)) (pow alpha 2))) beta)) (* -1 alpha)) beta))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (+ (* -1 (/ alpha (pow beta 3))) (/ 1 (pow beta 2)))>
#<alt (+ (* alpha (- (/ (pow alpha 2) (pow beta 5)) (/ 1 (pow beta 3)))) (/ 1 (pow beta 2)))>
#<alt (+ (* alpha (- (* (pow alpha 2) (+ (* -1 (/ alpha (pow beta 6))) (/ 1 (pow beta 5)))) (/ 1 (pow beta 3)))) (/ 1 (pow beta 2)))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ (+ 1 (* -1 (/ beta alpha))) (pow alpha 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow beta 2)) (pow beta 2)) (pow alpha 2)))) (/ beta alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* beta (+ (* -1 (pow beta 2)) (pow beta 2)))) (* -1 (pow beta 3))) (pow alpha 3)))) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ (+ 1 (* -1 (/ beta alpha))) (pow alpha 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow beta 2) alpha)) (/ (pow beta 2) alpha)) (* -1 beta)) alpha))) (pow alpha 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (+ (* -1 (pow beta 2)) (pow beta 2))) alpha) (/ (pow beta 3) alpha)) (+ (* -1 (pow beta 2)) (pow beta 2))) alpha)) (* -1 beta)) alpha))) (pow alpha 2))>

Calls

129 calls:

Time	Variable		Point	Expression
29.0ms	alpha	@	0	(/ (/ 1 (+ (* beta beta) (* alpha (+ beta alpha)))) (/ 1 (+ (+ (* (+ beta alpha) (+ beta alpha)) 4) (* (+ beta alpha) -2))))
23.0ms	beta	@	-inf	(/ (/ 1 (+ (* beta beta) (* alpha (+ beta alpha)))) (/ 1 (+ (+ (* (+ beta alpha) (+ beta alpha)) 4) (* (+ beta alpha) -2))))
7.0ms	beta	@	-inf	(/ 1 (+ (* beta beta) (* alpha (+ beta alpha))))
4.0ms	alpha	@	-inf	(+ (* (/ (* (+ (* beta beta) (* alpha (+ beta alpha))) (- beta alpha)) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (/ (/ 1 (+ (* beta beta) (* alpha (+ beta alpha)))) (/ 1 (+ (+ (* (+ beta alpha) (+ beta alpha)) 4) (* (+ beta alpha) -2))))) 1)
3.0ms	beta	@	-inf	(/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2)

simplify366.0ms (3.1%)

Memory

21.7MiB live, 547.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 960×	`lower-fma.f64`
5 960×	`lower-fma.f32`
5 080×	`lower-+.f64`
5 080×	`lower-+.f32`
4 430×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1826	16914
1	6030	16130
0	8320	15363

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 480

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

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 (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(-.f64 (fma.f64 beta (fma.f64 beta (-.f64 (neg.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(-.f64 (fma.f64 beta (fma.f64 beta (-.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #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 (fma.f64 alpha (/.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 beta beta)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta 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 #s(literal 2 binary64) (-.f64 (fma.f64 alpha (/.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 beta beta)) (/.f64 (.f64 (neg.f64 alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta (.f64 beta beta)))) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) (/.f64 (.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)))) (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) 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 (-.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) beta)) 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 (-.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (fma.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) beta)) beta)) alpha) 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) (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 (.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(+ 1 (+ (* 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 (fma.f64 (neg.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 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 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)))))) (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 #s(literal 2 binary64) (-.f64 (-.f64 (.f64 #s(literal 2 binary64) beta) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) (/.f64 (*.f64 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 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) (fma.f64 #s(literal 2 binary64) beta (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha)))) (-.f64 (/.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 (.f64 beta (.f64 (+.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) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) (-.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (.f64 alpha (.f64 alpha alpha))))) (-.f64 (fma.f64 beta (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (.f64 alpha alpha))) (/.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (/.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha)))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (neg.f64 (+.f64 (neg.f64 beta) (-.f64 #s(literal -2 binary64) beta))) alpha)
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 (-.f64 (fma.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) beta) (-.f64 #s(literal -2 binary64) beta)) 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))
(neg.f64 (/.f64 (+.f64 (-.f64 (neg.f64 beta) (/.f64 (fma.f64 beta (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (-.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) (fma.f64 beta (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) alpha)) (-.f64 #s(literal -2 binary64) 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))
(neg.f64 (/.f64 (+.f64 (-.f64 (neg.f64 beta) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 beta (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) alpha)) (fma.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) alpha)) (fma.f64 beta (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) alpha)) (-.f64 #s(literal -2 binary64) beta)) alpha))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(.f64 #s(literal 1/2 binary64) (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(fma.f64 beta (.f64 #s(literal 1/2 binary64) (fma.f64 beta (-.f64 (neg.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(fma.f64 beta (fma.f64 beta (.f64 #s(literal 1/2 binary64) (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (neg.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (.f64 (+.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))))) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta beta)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64))) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 (neg.f64 alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (.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))) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta beta))) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64))) beta)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(fma.f64 (/.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) beta) #s(literal -1/2 binary64) (.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) beta) #s(literal -1/2 binary64) (.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))) beta)) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
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(+ (* 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))))))))))
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#s(literal 1 binary64)
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(* 1/2 (+ 1 (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3)))))
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(* 1/2 (/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha))
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(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 (-.f64 alpha alpha) (.f64 #s(literal 3 binary64) alpha))) (/.f64 (-.f64 (-.f64 (neg.f64 (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (.f64 alpha alpha))) (fma.f64 (.f64 alpha alpha) #s(literal -2 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) (-.f64 (-.f64 alpha alpha) (.f64 #s(literal 3 binary64) alpha)) (.f64 alpha alpha)))))) (/.f64 (.f64 alpha (.f64 alpha alpha)) beta)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) beta) (/.f64 (.f64 alpha (.f64 alpha alpha)) beta)) (/.f64 (.f64 (.f64 (.f64 alpha alpha) #s(literal -3 binary64)) (-.f64 (-.f64 alpha alpha) (.f64 #s(literal 3 binary64) alpha))) beta)) (/.f64 (.f64 (.f64 #s(literal 3 binary64) alpha) (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (.f64 alpha alpha))) (fma.f64 (.f64 alpha alpha) #s(literal -2 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) alpha) (-.f64 (-.f64 alpha alpha) (.f64 #s(literal 3 binary64) alpha)) (*.f64 alpha alpha)))))) beta))) beta)) beta))
(/ (pow beta 3) (+ 8 (pow beta 3)))
(/.f64 (.f64 beta (.f64 beta beta)) (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64)))
(+ (* alpha (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (/ (pow beta 3) (+ 8 (pow beta 3))))
(fma.f64 alpha (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)))) (/.f64 (.f64 (.f64 beta (.f64 beta beta)) (.f64 #s(literal 3 binary64) (.f64 beta beta))) (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))))) (/.f64 (.f64 beta (.f64 beta beta)) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))))
(+ (* alpha (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (+ (* alpha (- (+ (* -1 (/ beta (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (pow beta 3) (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (/ (pow beta 2) (+ 8 (pow beta 3))))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (/ (pow beta 3) (+ 8 (pow beta 3))))
(fma.f64 alpha (-.f64 (-.f64 (fma.f64 alpha (-.f64 (.f64 #s(literal 0 binary64) (/.f64 beta (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)))) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 beta beta)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)))) (/.f64 (.f64 (.f64 beta (.f64 beta beta)) (.f64 #s(literal 3 binary64) (.f64 beta beta))) (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))))) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))) (/.f64 (.f64 (.f64 beta (.f64 beta beta)) (.f64 #s(literal 3 binary64) beta)) (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)))))) (/.f64 (.f64 beta beta) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)))) (/.f64 (.f64 beta beta) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)))) (/.f64 (.f64 (.f64 beta (.f64 beta beta)) (.f64 #s(literal 3 binary64) (.f64 beta beta))) (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))))) (/.f64 (.f64 beta (.f64 beta beta)) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))))
(+ (* alpha (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (+ (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ beta (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (pow beta 3) (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3))) (/ (pow beta 3) (pow (+ 8 (pow beta 3)) 2))))))) (+ (* -1 (/ beta (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3))))) (+ (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (pow beta 3) (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (/ (pow beta 2) (+ 8 (pow beta 3))))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (/ (pow beta 3) (+ 8 (pow beta 3))))
(fma.f64 alpha (-.f64 (-.f64 (fma.f64 alpha (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) beta) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)))) (/.f64 (.f64 (.f64 beta (.f64 beta beta)) (.f64 #s(literal 3 binary64) (.f64 beta beta))) (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))))) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 beta beta)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 beta (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)))) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 beta beta)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)))) (/.f64 (.f64 (.f64 beta (.f64 beta beta)) (.f64 #s(literal 3 binary64) (.f64 beta beta))) (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))))) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))) (/.f64 (.f64 (.f64 beta (.f64 beta beta)) (.f64 #s(literal 3 binary64) beta)) (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)))))) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))) (/.f64 (.f64 beta (.f64 beta beta)) (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))))))) (-.f64 (.f64 #s(literal 0 binary64) (/.f64 beta (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)))) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 beta beta)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)))) (/.f64 (.f64 (.f64 beta (.f64 beta beta)) (.f64 #s(literal 3 binary64) (.f64 beta beta))) (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))))) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))) (/.f64 (.f64 (.f64 beta (.f64 beta beta)) (.f64 #s(literal 3 binary64) beta)) (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))))))) (/.f64 (.f64 beta beta) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)))) (/.f64 (.f64 beta beta) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)))) (/.f64 (.f64 (.f64 beta (.f64 beta beta)) (.f64 #s(literal 3 binary64) (.f64 beta beta))) (.f64 (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)) (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64))))) (/.f64 (.f64 beta (.f64 beta beta)) (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))))
-1
#s(literal -1 binary64)
(- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha))))
(-.f64 (.f64 #s(literal 0 binary64) (/.f64 beta alpha)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) beta) alpha)))
(- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (+ beta (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) (pow alpha 2))) (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 beta))))) (pow alpha 2))))))
(-.f64 (-.f64 (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 beta alpha)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) beta) alpha)) (-.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) beta) (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 3 binary64) beta))) (.f64 alpha alpha)) (/.f64 (.f64 #s(literal 3 binary64) (.f64 beta beta)) (.f64 alpha alpha)))))
(- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3)))))) (+ 1 (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 3))) (+ (* -1 (/ (+ beta (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) (pow alpha 2))) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (pow beta 2)) (pow beta 2)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 3)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 beta))))) (pow alpha 3)))))))))
(-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha)))) (/.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 beta alpha)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta (.f64 beta beta) #s(literal 8 binary64)) (.f64 alpha (.f64 alpha alpha)))) (-.f64 (-.f64 (fma.f64 (.f64 #s(literal 3 binary64) beta) (/.f64 (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 3 binary64) beta)) (.f64 alpha alpha)) (fma.f64 (.f64 #s(literal 3 binary64) beta) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 beta beta)) (-.f64 (.f64 (.f64 #s(literal 3 binary64) beta) (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 3 binary64) beta))) (.f64 #s(literal 3 binary64) (.f64 beta beta)))) (.f64 alpha (.f64 alpha alpha))) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 beta beta)) (fma.f64 #s(literal 0 binary64) beta (.f64 #s(literal 3 binary64) beta))) (.f64 alpha (.f64 alpha alpha))))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 beta beta)) (.f64 alpha alpha))) (/.f64 (.f64 #s(literal 3 binary64) beta) alpha))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 (+ beta (* -1 beta))) (+ beta (* 2 beta))) alpha)) 1)
(+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 beta beta) (*.f64 #s(literal 3 binary64) beta)) alpha)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (* -1 (+ (* -1 (pow beta 2)) (pow beta 2))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (* -1 beta))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) 1)
(+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (-.f64 beta beta) (/.f64 (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (.f64 beta beta))) (fma.f64 (.f64 beta beta) #s(literal -2 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) beta) (-.f64 (-.f64 beta beta) (.f64 #s(literal 3 binary64) beta)) (.f64 beta beta))))) alpha)) (*.f64 #s(literal 3 binary64) beta)) alpha)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (+ (* -1 (+ (* -1 (pow beta 2)) (pow beta 2))) (* -1 (/ (- (* -1 (pow beta 3)) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ (* -1 (pow beta 2)) (pow beta 2))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (* -1 beta))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (* -1 beta))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (* -1 beta))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) 1)
(+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (-.f64 beta beta) (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (.f64 beta beta) (/.f64 (-.f64 (neg.f64 (.f64 beta (.f64 beta beta))) (+.f64 #s(literal 8 binary64) (fma.f64 (neg.f64 (.f64 #s(literal 3 binary64) beta)) (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (.f64 beta beta))) (fma.f64 (.f64 beta beta) #s(literal -2 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) beta) (-.f64 (-.f64 beta beta) (.f64 #s(literal 3 binary64) beta)) (.f64 beta beta))))) (-.f64 (.f64 beta (.f64 beta beta)) (.f64 (.f64 (.f64 beta beta) #s(literal -3 binary64)) (-.f64 (-.f64 beta beta) (.f64 #s(literal 3 binary64) beta))))))) alpha))) (fma.f64 (.f64 beta beta) #s(literal -2 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) beta) (-.f64 (-.f64 beta beta) (.f64 #s(literal 3 binary64) beta)) (.f64 beta beta))))) alpha)) (*.f64 #s(literal 3 binary64) beta)) alpha)) #s(literal -1 binary64))
(/ 1 (pow alpha 2))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(+ (* -1 (/ beta (pow alpha 3))) (/ 1 (pow alpha 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)) (/.f64 beta (.f64 alpha (*.f64 alpha alpha))))
(+ (* beta (- (/ (pow beta 2) (pow alpha 5)) (/ 1 (pow alpha 3)))) (/ 1 (pow alpha 2)))
(fma.f64 beta (-.f64 (/.f64 (.f64 beta beta) (pow.f64 alpha #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)))
(+ (* beta (- (* (pow beta 2) (+ (* -1 (/ beta (pow alpha 6))) (/ 1 (pow alpha 5)))) (/ 1 (pow alpha 3)))) (/ 1 (pow alpha 2)))
(fma.f64 beta (fma.f64 (.f64 beta beta) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 5 binary64))) (/.f64 beta (pow.f64 alpha #s(literal 6 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 alpha (.f64 alpha alpha))))) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha)))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ alpha beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (*.f64 beta beta))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow alpha 2)) (pow alpha 2)) (pow beta 2)))) (/ alpha beta)) (pow beta 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 alpha alpha)) (.f64 beta beta))) (/.f64 alpha beta)) (.f64 beta beta))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ (* -1 (pow alpha 2)) (pow alpha 2)))) (* -1 (pow alpha 3))) (pow beta 3)))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2))))) (pow beta 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 alpha (.f64 #s(literal 0 binary64) (.f64 alpha alpha)) (.f64 alpha (.f64 alpha alpha)))) (.f64 beta (.f64 beta beta)))) (-.f64 (+.f64 (/.f64 alpha beta) (/.f64 (.f64 alpha alpha) (.f64 beta beta))) (/.f64 (.f64 alpha alpha) (.f64 beta beta)))) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ alpha beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow alpha 2) beta)) (/ (pow alpha 2) beta)) (* -1 alpha)) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (.f64 alpha alpha) beta) alpha) beta)) (.f64 beta beta))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* alpha (+ (* -1 (pow alpha 2)) (pow alpha 2))) beta) (/ (pow alpha 3) beta)) (+ (* -1 (pow alpha 2)) (pow alpha 2))) beta)) (* -1 alpha)) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 alpha (/.f64 (.f64 #s(literal 0 binary64) (.f64 alpha alpha)) beta) (/.f64 (.f64 alpha (.f64 alpha alpha)) beta)) (.f64 #s(literal 0 binary64) (.f64 alpha alpha))) beta)) alpha) beta)) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(+ (* -1 (/ alpha (pow beta 3))) (/ 1 (pow beta 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 beta beta)) (/.f64 alpha (.f64 beta (*.f64 beta beta))))
(+ (* alpha (- (/ (pow alpha 2) (pow beta 5)) (/ 1 (pow beta 3)))) (/ 1 (pow beta 2)))
(fma.f64 alpha (-.f64 (/.f64 (.f64 alpha alpha) (pow.f64 beta #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (.f64 beta beta)))
(+ (* alpha (- (* (pow alpha 2) (+ (* -1 (/ alpha (pow beta 6))) (/ 1 (pow beta 5)))) (/ 1 (pow beta 3)))) (/ 1 (pow beta 2)))
(fma.f64 alpha (fma.f64 (.f64 alpha alpha) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 5 binary64))) (/.f64 alpha (pow.f64 beta #s(literal 6 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 beta (.f64 beta beta))))) (/.f64 #s(literal 1 binary64) (.f64 beta beta)))
(/ 1 (pow alpha 2))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/ (+ 1 (* -1 (/ beta alpha))) (pow alpha 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (*.f64 alpha alpha))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow beta 2)) (pow beta 2)) (pow alpha 2)))) (/ beta alpha)) (pow alpha 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 beta beta)) (.f64 alpha alpha))) (/.f64 beta alpha)) (.f64 alpha alpha))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* beta (+ (* -1 (pow beta 2)) (pow beta 2)))) (* -1 (pow beta 3))) (pow alpha 3)))) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (pow alpha 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 beta (.f64 #s(literal 0 binary64) (.f64 beta beta)) (.f64 beta (.f64 beta beta)))) (.f64 alpha (.f64 alpha alpha)))) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 (.f64 beta beta) (.f64 alpha alpha)))) (*.f64 alpha alpha))
(/ 1 (pow alpha 2))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/ (+ 1 (* -1 (/ beta alpha))) (pow alpha 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (*.f64 alpha alpha))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow beta 2) alpha)) (/ (pow beta 2) alpha)) (* -1 beta)) alpha))) (pow alpha 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (.f64 beta beta) alpha) beta) alpha)) (.f64 alpha alpha))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (+ (* -1 (pow beta 2)) (pow beta 2))) alpha) (/ (pow beta 3) alpha)) (+ (* -1 (pow beta 2)) (pow beta 2))) alpha)) (* -1 beta)) alpha))) (pow alpha 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 beta (/.f64 (.f64 #s(literal 0 binary64) (.f64 beta beta)) alpha) (/.f64 (.f64 beta (.f64 beta beta)) alpha)) (.f64 #s(literal 0 binary64) (.f64 beta beta))) alpha)) beta) alpha)) (*.f64 alpha alpha))

rewrite410.0ms (3.5%)

Memory

-2.5MiB live, 461.3MiB allocated

Rules

3 954×	`lower-*.f32`
3 944×	`lower-*.f64`
3 410×	`lower-/.f32`
3 386×	`lower-/.f64`
3 372×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	365
0	88	334
1	440	271
2	4043	271
0	8190	261

Stop Event

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

Counts

22 → 705

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

eval440.0ms (3.8%)

Memory: 4.5MiB live, 548.1MiB allocated
Compiler: Compiled 62 250 to 4 959 computations (92% saved)

prune284.0ms (2.4%)

Memory

-3.1MiB live, 371.2MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1 414	10	1 424
Fresh	4	7	11
Picked	3	2	5
Done	0	0	0
Total	1 421	19	1 440

Accuracy

99.9%

Counts

1 440 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.2%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	72.7%	(fma.f64 (/.f64 #s(approx (- beta alpha) (*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	74.2%	(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))))
	73.2%	(fma.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	72.9%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	70.6%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	3.7%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	57.4%	(/.f64 (fma.f64 (fma.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) alpha)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
	33.6%	(/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 alpha (.f64 alpha alpha) (.f64 beta (.f64 beta beta)))) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (/.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	39.9%	(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	50.8%	(/.f64 (fma.f64 (.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	73.3%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 2 binary64))
	44.9%	(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal 4 binary64)))) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 (.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal 4 binary64)))) (.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal 4 binary64))))) (.f64 (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal 4 binary64)))) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))))))
	72.6%	(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
	29.8%	#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))
	28.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha))
	31.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
✓	38.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	46.7%	#s(approx (+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

Compiler

Compiled 1 144 to 476 computations (58.4% saved)

simplify248.0ms (2.1%)

Memory

21.0MiB live, 389.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	384	(fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal 4 binary64)))
cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal 4 binary64)))))
cost-diff	2816	(fma.f64 (/.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
cost-diff	0	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) alpha)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	128	(fma.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) alpha))
cost-diff	256	(fma.f64 (fma.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) alpha)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))
cost-diff	0	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64))
cost-diff	0	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #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

11 802×	`lower-fma.f32`
11 782×	`lower-fma.f64`
4 448×	`lower-*.f32`
4 436×	`lower-*.f64`
3 200×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	527
0	89	513
1	171	493
2	434	475
3	1837	439
4	6039	429
0	8497	419

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

localize279.0ms (2.4%)

Memory

-12.8MiB live, 394.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.16826881092597978	(/.f64 #s(literal 1 binary64) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
accuracy	19.643132843224095	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal 4 binary64)))))
accuracy	23.69076653098545	(fma.f64 (/.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
accuracy	26.75457895899005	(/.f64 (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))
accuracy	0.02734375	(*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
accuracy	0.08623756092597981	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
accuracy	2.249975228450042	(fma.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) alpha))
accuracy	26.760353133697425	(fma.f64 (fma.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) alpha)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))
accuracy	0	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
accuracy	0	(+.f64 alpha #s(literal 2 binary64))
accuracy	0.015625	(/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy	17.290336447469283	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
accuracy	17.10934009272957	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	44.233588990919145	#s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64))
accuracy	0	(neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
accuracy	0.0078125	(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy	0.015625	(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy	17.137325688102635	(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))

Samples

99.0ms	184×	0	valid
50.0ms	29×	2	valid
30.0ms	43×	1	valid

Compiler

Compiled 559 to 54 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 60.0ms (46.4% of total)

ival-div: 31.0ms (24% of total)

ival-add: 21.0ms (16.3% of total)

adjust: 12.0ms (9.3% of total)

ival-sub: 3.0ms (2.3% of total)

ival-neg: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series60.0ms (0.5%)

Memory

13.8MiB live, 127.6MiB allocated

Counts

24 → 564

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

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))>
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#<alt (+ (* alpha (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (/ (pow beta 3) (+ 8 (pow beta 3))))>
#<alt (+ (* alpha (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (+ (* alpha (- (+ (* -1 (/ beta (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (pow beta 3) (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (/ (pow beta 2) (+ 8 (pow beta 3))))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (/ (pow beta 3) (+ 8 (pow beta 3))))>
#<alt (+ (* alpha (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (+ (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ beta (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (pow beta 3) (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ 8 (pow beta 3))) (/ (pow beta 3) (pow (+ 8 (pow beta 3)) 2))))))) (+ (* -1 (/ beta (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3))))) (+ (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (pow beta 2) (+ 8 (pow beta 3)))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (pow beta 3) (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (/ (pow beta 2) (+ 8 (pow beta 3))))) (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (/ (pow beta 3) (+ 8 (pow beta 3))))>
#<alt -1>
#<alt (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha))))>
#<alt (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (+ beta (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) (pow alpha 2))) (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 beta))))) (pow alpha 2))))))>
#<alt (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3)))))) (+ 1 (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 3))) (+ (* -1 (/ (+ beta (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) (pow alpha 2))) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (pow beta 2)) (pow beta 2)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 3)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 beta))))) (pow alpha 3)))))))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 (+ beta (* -1 beta))) (+ beta (* 2 beta))) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (* -1 (+ (* -1 (pow beta 2)) (pow beta 2))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (* -1 beta))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (+ (* -1 (+ (* -1 (pow beta 2)) (pow beta 2))) (* -1 (/ (- (* -1 (pow beta 3)) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ (* -1 (pow beta 2)) (pow beta 2))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (* -1 beta))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (* -1 beta))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (* -1 beta))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) 1)>
#<alt (/ 1 (pow alpha 2))>
#<alt (+ (* -1 (/ beta (pow alpha 3))) (/ 1 (pow alpha 2)))>
#<alt (+ (* beta (- (/ (pow beta 2) (pow alpha 5)) (/ 1 (pow alpha 3)))) (/ 1 (pow alpha 2)))>
#<alt (+ (* beta (- (* (pow beta 2) (+ (* -1 (/ beta (pow alpha 6))) (/ 1 (pow alpha 5)))) (/ 1 (pow alpha 3)))) (/ 1 (pow alpha 2)))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ alpha beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow alpha 2)) (pow alpha 2)) (pow beta 2)))) (/ alpha beta)) (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ (* -1 (pow alpha 2)) (pow alpha 2)))) (* -1 (pow alpha 3))) (pow beta 3)))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ alpha beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow alpha 2) beta)) (/ (pow alpha 2) beta)) (* -1 alpha)) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* alpha (+ (* -1 (pow alpha 2)) (pow alpha 2))) beta) (/ (pow alpha 3) beta)) (+ (* -1 (pow alpha 2)) (pow alpha 2))) beta)) (* -1 alpha)) beta))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (+ (* -1 (/ alpha (pow beta 3))) (/ 1 (pow beta 2)))>
#<alt (+ (* alpha (- (/ (pow alpha 2) (pow beta 5)) (/ 1 (pow beta 3)))) (/ 1 (pow beta 2)))>
#<alt (+ (* alpha (- (* (pow alpha 2) (+ (* -1 (/ alpha (pow beta 6))) (/ 1 (pow beta 5)))) (/ 1 (pow beta 3)))) (/ 1 (pow beta 2)))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ (+ 1 (* -1 (/ beta alpha))) (pow alpha 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow beta 2)) (pow beta 2)) (pow alpha 2)))) (/ beta alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* beta (+ (* -1 (pow beta 2)) (pow beta 2)))) (* -1 (pow beta 3))) (pow alpha 3)))) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ (+ 1 (* -1 (/ beta alpha))) (pow alpha 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow beta 2) alpha)) (/ (pow beta 2) alpha)) (* -1 beta)) alpha))) (pow alpha 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (+ (* -1 (pow beta 2)) (pow beta 2))) alpha) (/ (pow beta 3) alpha)) (+ (* -1 (pow beta 2)) (pow beta 2))) alpha)) (* -1 beta)) alpha))) (pow alpha 2))>

Calls

141 calls:

Time	Variable		Point	Expression
6.0ms	alpha	@	0	(/ 1/2 (+ beta (+ alpha 2)))
5.0ms	alpha	@	-inf	(+ (* (+ (* beta (+ beta (+ alpha 2))) (* (- -2 (+ beta alpha)) alpha)) (/ 1 (* (- -2 (+ beta alpha)) (- -2 (+ beta alpha))))) 1)
3.0ms	beta	@	0	(+ (* (+ beta alpha) (+ beta alpha)) (+ (* (+ beta alpha) -2) 4))
2.0ms	beta	@	inf	(+ (* (+ (* beta (+ beta (+ alpha 2))) (* (- -2 (+ beta alpha)) alpha)) (/ 1 (* (- -2 (+ beta alpha)) (- -2 (+ beta alpha))))) 1)
1.0ms	beta	@	-inf	(+ (* (+ (* beta (+ beta (+ alpha 2))) (* (- -2 (+ beta alpha)) alpha)) (/ 1 (* (- -2 (+ beta alpha)) (- -2 (+ beta alpha))))) 1)

simplify712.0ms (6.1%)

Memory

-51.5MiB live, 662.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 440×	`lower-fma.f64`
6 440×	`lower-fma.f32`
6 066×	`lower-+.f64`
6 066×	`lower-+.f32`
5 460×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2531	19293
0	8501	18228

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 555

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

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

rewrite296.0ms (2.5%)

Memory

7.3MiB live, 576.9MiB allocated

Rules

4 080×	`lower-*.f32`
4 068×	`lower-*.f64`
3 378×	`lower-fma.f32`
3 358×	`lower-fma.f64`
3 014×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	402
0	89	363
1	419	303
2	3994	303
0	8123	296

Stop Event

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

Counts

24 → 582

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

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

eval223.0ms (1.9%)

Memory: 10.7MiB live, 442.9MiB allocated
Compiler: Compiled 66 704 to 5 641 computations (91.5% saved)

prune242.0ms (2.1%)

Memory

6.6MiB live, 324.6MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1 408	7	1 415
Fresh	3	9	12
Picked	3	2	5
Done	0	2	2
Total	1 414	20	1 434

Accuracy

99.9%

Counts

1 434 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.2%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	72.7%	(fma.f64 (/.f64 #s(approx (- beta alpha) (*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	31.2%	(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(approx (neg (* (+ (/ alpha (+ beta (+ alpha 2))) -1) 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))
	73.2%	(fma.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	72.9%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	44.0%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ beta (+ alpha 2)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	70.6%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	3.7%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	40.0%	(/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64)) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (/.f64 (.f64 (-.f64 beta alpha) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	50.8%	(/.f64 (fma.f64 (.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	46.8%	(/.f64 (fma.f64 #s(approx (+ (* beta (+ beta (+ alpha 2))) (* (- -2 (+ beta alpha)) alpha)) (neg.f64 (.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	73.3%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 2 binary64))
	50.5%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64))) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64)))) (-.f64 beta alpha)) (/.f64 (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64)))))) #s(literal 2 binary64))
	72.6%	(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
▶	74.2%	(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))
	29.8%	#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))
	28.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha))
▶	31.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
✓	38.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	46.7%	#s(approx (+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

Compiler

Compiled 979 to 448 computations (54.2% saved)

simplify377.0ms (3.2%)

Memory

-8.3MiB live, 347.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	384	(*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
cost-diff	512	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 2 binary64))
cost-diff	704	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
cost-diff	6144	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
cost-diff	0	#s(approx (+ (* beta (+ beta (+ alpha 2))) (* (- -2 (+ beta alpha)) alpha)) (neg.f64 (*.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
cost-diff	0	(/.f64 (fma.f64 #s(approx (+ (* beta (+ beta (+ alpha 2))) (* (- -2 (+ beta alpha)) alpha)) (neg.f64 (.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	128	(neg.f64 (*.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
cost-diff	192	(fma.f64 #s(approx (+ (* beta (+ beta (+ alpha 2))) (* (- -2 (+ beta alpha)) alpha)) (neg.f64 (.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #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	0	(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(approx (neg (* (+ (/ alpha (+ beta (+ alpha 2))) -1) 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))
cost-diff	128	(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
cost-diff	0	(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
cost-diff	128	(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))
cost-diff	1088	(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)))

Rules

11 634×	`lower-fma.f32`
11 630×	`lower-fma.f64`
4 152×	`lower-*.f32`
4 140×	`lower-*.f64`
2 730×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	563
0	92	465
1	198	457
2	439	453
3	1085	453
4	3370	435
0	8364	426

Stop Event

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

Calls

Call 1

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

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

localize419.0ms (3.6%)

Memory

4.5MiB live, 207.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
accuracy	0.015625	(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy	0.09765625	(*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
accuracy	17.104164801604202	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
accuracy	0.02734375	(*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
accuracy	0.08623756092597981	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
accuracy	26.760353133697425	(fma.f64 #s(approx (+ (* beta (+ beta (+ alpha 2))) (* (- -2 (+ beta alpha)) alpha)) (neg.f64 (.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))
accuracy	31.54938429552117	#s(approx (+ (* beta (+ beta (+ alpha 2))) (* (- -2 (+ beta alpha)) alpha)) (neg.f64 (*.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
accuracy	0.00390625	(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
accuracy	0.015625	(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy	44.06862693215779	#s(approx (neg (* (+ (/ alpha (+ beta (+ alpha 2))) -1) 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
accuracy	0	(+.f64 #s(literal 1 binary64) beta)
accuracy	0.0078125	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
accuracy	44.0686391113117	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))
accuracy	0.0078125	(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	0.015625	(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy	17.137325688102635	(+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))

Samples

241.0ms	184×	0	valid
47.0ms	43×	1	valid
30.0ms	29×	2	valid

Compiler

Compiled 525 to 54 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-div: 59.0ms (47.6% of total)

ival-add: 23.0ms (18.5% of total)

ival-mult: 21.0ms (16.9% of total)

adjust: 11.0ms (8.9% of total)

ival-sub: 6.0ms (4.8% of total)

ival-neg: 3.0ms (2.4% of total)

exact: 1.0ms (0.8% of total)

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

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

series66.0ms (0.6%)

Memory

-1.5MiB live, 35.3MiB allocated

Counts

25 → 576

Calls

Call 1

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

Calls

144 calls:

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

simplify613.0ms (5.3%)

Memory

11.3MiB live, 405.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 580×	`lower-fma.f64`
7 580×	`lower-fma.f32`
5 810×	`lower-*.f64`
5 810×	`lower-*.f32`
5 768×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2089	19668
1	7135	19664
0	8510	18557

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 566

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

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

rewrite472.0ms (4%)

Memory

-19.6MiB live, 544.3MiB allocated

Rules

4 328×	`lower-fma.f32`
4 324×	`lower-fma.f64`
3 924×	`lower-*.f32`
3 912×	`lower-*.f64`
3 560×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	450
0	92	314
1	488	310
2	4470	310
0	8406	304

Stop Event

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

Counts

25 → 944

Calls

Call 1

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

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

eval406.0ms (3.5%)

Memory: 28.4MiB live, 764.2MiB allocated
Compiler: Compiled 109 964 to 7 148 computations (93.5% saved)

prune373.0ms (3.2%)

Memory

4.9MiB live, 575.7MiB allocated

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	2 187	6	2 193
Fresh	2	9	11
Picked	2	3	5
Done	0	4	4
Total	2 191	22	2 213

Accuracy

99.9%

Counts

2 213 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.2%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	72.7%	(fma.f64 (/.f64 #s(approx (- beta alpha) (*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	10.2%	(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(approx (neg (* (+ (/ alpha (+ beta (+ alpha 2))) -1) 1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ 2 beta) alpha) (/.f64 beta alpha)))))
	73.2%	(fma.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	72.9%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	44.0%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ beta (+ alpha 2)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	70.6%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	3.7%	(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	40.0%	(/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64)) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (/.f64 (.f64 (-.f64 beta alpha) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	50.8%	(/.f64 (fma.f64 (.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	45.8%	(/.f64 (fma.f64 #s(approx (+ (* beta (+ beta (+ alpha 2))) (* (- -2 (+ beta alpha)) alpha)) (neg.f64 (.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) #s(approx ( (- -2 (+ beta alpha)) (- -2 (+ beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	73.3%	(/.f64 (/.f64 (fma.f64 (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (/.f64 alpha (+.f64 beta (+.f64 #s(literal 2 binary64) alpha))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))))) (+.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)))))) #s(literal 2 binary64))
✓	73.3%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 2 binary64))
	44.5%	(.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 beta beta) (.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 beta (+.f64 #s(literal 2 binary64) alpha))))) (+.f64 beta (+.f64 #s(literal 2 binary64) alpha))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))) alpha)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))))
✓	74.2%	(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))
	29.8%	#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))
	28.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha))
✓	31.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	25.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
	10.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
✓	38.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	46.7%	#s(approx (+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

Compiler

Compiled 1 605 to 454 computations (71.7% saved)

regimes64.0ms (0.5%)

Memory

11.2MiB live, 90.9MiB allocated

Counts

40 → 2

Calls

Call 1

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

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

Calls

5 calls:

17.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
13.0ms	beta
11.0ms	alpha
10.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
9.0ms	(/.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`
74.2%	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)

regimes30.0ms (0.3%)

Memory

-29.8MiB live, 49.2MiB allocated

Counts

35 → 2

Calls

Call 1

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

Calls

3 calls:

10.0ms

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

8.0ms

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

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
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)

regimes16.0ms (0.1%)

Memory

27.2MiB live, 27.2MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

5.0ms

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

5.0ms

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

5.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

-13.4MiB live, 26.2MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

5.0ms

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

5.0ms

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

4.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

5.0ms

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

4.0ms

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes43.0ms (0.4%)

Memory

-25.7MiB live, 15.6MiB allocated

Counts

10 → 2

Calls

Call 1

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

37.0ms

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

3.0ms

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

3.0ms

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

Results

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

2.0ms

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

2.0ms

(/.f64 (+.f64 (/.f64 (-.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
98.1%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.1%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.1%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes40.0ms (0.3%)

Memory

-17.4MiB live, 22.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

Calls

5 calls:

31.0ms	alpha
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
53.8%	2	`beta`
59.4%	2	`alpha`
65.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
65.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
65.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

2.0ms	alpha
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
53.1%	2	`alpha`
59.3%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
59.3%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
59.3%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

-11.1MiB live, 28.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

7.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms	beta
2.0ms	alpha
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))

Results

Accuracy	Segments	Branch
43.4%	2	`alpha`
38.5%	1	`beta`
44.5%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
44.5%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
44.5%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

-16.4MiB live, 23.5MiB allocated

Accuracy

Total -22.5b remaining (-57.3%)

Threshold costs -22.5b (-57.3%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

9.0ms	beta
1.0ms	alpha
1.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
1.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
38.5%	1	`beta`
38.5%	1	`alpha`
38.5%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
38.5%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
38.5%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999998032525866	-0.999573547850171

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	-0.9999998032525866	-0.999573547850171

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999964	-0.9999998032525866

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	-0.9999999999999964	-0.9999998032525866

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	-0.9999999999999964	-0.9999998032525866

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	-0.9947993476024105	-0.005737322165298218

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	0.16498399418909784	0.940766212200717
0.0ms	-0.9993960106243701	-0.9989864239226084

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	-0.9947993476024105	-0.005737322165298218

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	-0.9947993476024105	-0.005737322165298218

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9993960106243701	-0.9989864239226084

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify12.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`+-commutative_binary64`
18×	`sub-neg_binary64`
12×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	611
1	128	611
2	142	611
3	148	611
4	151	611

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1125449546879887/1125899906842624 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 (/.f64 (fma.f64 (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (/.f64 alpha (+.f64 beta (+.f64 #s(literal 2 binary64) alpha))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))))) (+.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)))))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1125449546879887/1125899906842624 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 #s(approx (- beta alpha) (.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))) (+.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 -9007198354021067/9007199254740992 binary64)) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(approx (neg (* (+ (/ alpha (+ beta (+ alpha 2))) -1) 1/2)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) (fma.f64 (/.f64 #s(approx (- beta alpha) (.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))) (+.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 -9007198354021067/9007199254740992 binary64)) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(approx (neg (* (+ (/ alpha (+ beta (+ alpha 2))) -1) 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #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 -9007198354021067/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #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)) #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 -8998192055486251/9007199254740992 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 3602879701896397/18014398509481984 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #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 (+.f64 #s(literal 1 binary64) beta) alpha)) #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 beta) #s(literal 1 binary64)) alpha)) #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 -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) #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 -1125449546879887/1125899906842624 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 (/.f64 (fma.f64 (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (/.f64 alpha (+.f64 beta (+.f64 #s(literal 2 binary64) alpha))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))))) (+.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)))))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1125449546879887/1125899906842624 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 (/.f64 (fma.f64 (/.f64 alpha (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (/.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 #s(literal 1 binary64) (/.f64 beta (+.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)))))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1125449546879887/1125899906842624 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 #s(approx (- beta alpha) (.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))) (+.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 beta alpha) #s(literal 2 binary64))) #s(literal -1125449546879887/1125899906842624 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 #s(approx (- beta alpha) (.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))) (+.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 -9007198354021067/9007199254740992 binary64)) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(approx (neg (* (+ (/ alpha (+ beta (+ alpha 2))) -1) 1/2)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) (fma.f64 (/.f64 #s(approx (- beta alpha) (.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))) (+.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 beta alpha) #s(literal 2 binary64))) #s(literal -9007198354021067/9007199254740992 binary64)) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(approx (neg (* (+ (/ alpha (+ beta (+ alpha 2))) -1) 1/2)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) (fma.f64 (/.f64 #s(approx (- beta alpha) (.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))) (+.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 -9007198354021067/9007199254740992 binary64)) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(approx (neg (* (+ (/ alpha (+ beta (+ alpha 2))) -1) 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -9007198354021067/9007199254740992 binary64)) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(approx (neg (* (+ (/ alpha (+ beta (+ alpha 2))) -1) 1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #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 -9007198354021067/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -9007198354021067/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #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)) #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 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #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 -8998192055486251/9007199254740992 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 3602879701896397/18014398509481984 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #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 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #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 beta) #s(literal 1 binary64)) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) #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 -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

soundness1.4s (11.6%)

Memory

-26.5MiB live, 1 545.3MiB allocated

Rules

9 688×	`lower-fma.f64`
9 688×	`lower-fma.f32`
7 580×	`lower-fma.f64`
7 580×	`lower-fma.f32`
6 440×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2089	19668
1	7135	19664
0	8510	18557
0	433	2500
1	1394	2354
2	4563	2155
0	8642	2014
0	1826	16914
1	6030	16130
0	8320	15363
0	50	365
0	88	334
1	440	271
2	4043	271
0	8190	261
0	2531	19293
0	8501	18228
0	58	450
0	92	314
1	488	310
2	4470	310
0	8406	304
0	10	44
0	16	44
1	91	44
2	748	44
0	9057	43

Stop Event

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

Compiler

Compiled 1 032 to 395 computations (61.7% saved)

preprocess56.0ms (0.5%)

Memory: 17.1MiB live, 174.8MiB allocated
Compiler: Compiled 790 to 158 computations (80% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.4s (12.2%)

explain134.0ms (1.2%)

preprocess366.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify123.0ms (1.1%)

localize57.0ms (0.5%)

series17.0ms (0.1%)

simplify348.0ms (3%)

rewrite249.0ms (2.1%)

eval140.0ms (1.2%)

prune173.0ms (1.5%)

simplify302.0ms (2.6%)

localize225.0ms (1.9%)

series116.0ms (1%)

simplify366.0ms (3.1%)

rewrite410.0ms (3.5%)

eval440.0ms (3.8%)

prune284.0ms (2.4%)

simplify248.0ms (2.1%)

localize279.0ms (2.4%)

series60.0ms (0.5%)

simplify712.0ms (6.1%)

rewrite296.0ms (2.5%)

eval223.0ms (1.9%)

prune242.0ms (2.1%)

simplify377.0ms (3.2%)

localize419.0ms (3.6%)

series66.0ms (0.6%)

simplify613.0ms (5.3%)

rewrite472.0ms (4%)

eval406.0ms (3.5%)

prune373.0ms (3.2%)

regimes64.0ms (0.5%)

regimes30.0ms (0.3%)

regimes16.0ms (0.1%)

regimes15.0ms (0.1%)

regimes13.0ms (0.1%)

regimes43.0ms (0.4%)

regimes7.0ms (0.1%)

regimes40.0ms (0.3%)

regimes8.0ms (0.1%)

regimes15.0ms (0.1%)

regimes15.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.4s (11.6%)

preprocess56.0ms (0.5%)

end0.0ms (0%)

Profiling