Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.1MiB live, 0.2MiB allocated

analyze2.0ms (0%)

Memory

7.6MiB live, 7.6MiB 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)

sample1.8s (23.4%)

Memory

-32.9MiB live, 1 849.6MiB allocated

Samples

509.0ms	6 052×	0	valid
340.0ms	719×	2	valid
261.0ms	1 485×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 788.0ms

adjust: 253.0ms (32.1% of total)

ival-add: 213.0ms (27% of total)

ival-div: 190.0ms (24.1% of total)

ival-sub: 69.0ms (8.8% of total)

ival->: 37.0ms (4.7% of total)

exact: 13.0ms (1.7% of total)

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

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

Bogosity

explain131.0ms (1.7%)

Memory

-1.0MiB live, 285.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
63	-	-	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	-	-	`beta`
0	-	-	`(+.f64 alpha beta)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	-	-	`alpha`
0	-	-	`(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
0	-	-	`(-.f64 beta alpha)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`	cancellation	63	0

Confusion

	Predicted +	Predicted -
+	63	0
-	0	193

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	193
1	63

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms	392×	0	valid
12.0ms	84×	1	valid
7.0ms	36×	2	valid

Compiler

Compiled 161 to 44 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 10.0ms (36.5% of total)

ival-add: 9.0ms (32.9% of total)

adjust: 4.0ms (14.6% of total)

ival-sub: 3.0ms (11% of total)

exact: 1.0ms (3.7% of total)

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

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

preprocess337.0ms (4.5%)

Memory

3.8MiB live, 157.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.5%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify185.0ms (2.5%)

Memory

-17.5MiB live, 100.6MiB 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))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.4%)

Memory

23.6MiB live, 59.6MiB 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	14.413622332743383	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

12.0ms	196×	0	valid
9.0ms	42×	1	valid
4.0ms	18×	2	valid

Compiler

Compiled 98 to 22 computations (77.6% saved)

Precisions

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

ival-div: 4.0ms (30.6% of total)

ival-add: 4.0ms (30.6% of total)

adjust: 2.0ms (15.3% of total)

ival-sub: 2.0ms (15.3% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

6 → 87

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

Calls

6 calls:

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

simplify177.0ms (2.4%)

Memory

0.2MiB live, 154.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2206
1	1394	2067
2	4570	1878
0	8653	1750

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 85

Calls

Call 1

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

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

rewrite197.0ms (2.6%)

Memory

-22.9MiB live, 235.1MiB allocated

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

eval105.0ms (1.4%)

Memory: -8.0MiB live, 97.7MiB allocated
Compiler: Compiled 16 169 to 2 376 computations (85.3% saved)

prune22.0ms (0.3%)

Memory

-1.2MiB live, 45.2MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	526	11	537
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	527	11	538

Accuracy

100.0%

Counts

538 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	39.3%	(/.f64 (fma.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	77.5%	(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
▶	64.2%	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	29.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶	75.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	24.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
	25.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
	26.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	53.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
▶	36.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 632 to 378 computations (40.2% saved)

simplify181.0ms (2.4%)

Memory

8.8MiB live, 164.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
cost-diff	0	(+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
cost-diff	384	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	1024	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
cost-diff	0	(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
cost-diff	0	(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	384	(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(-.f64 beta #s(literal -2 binary64))
cost-diff	0	(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
cost-diff	0	(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
cost-diff	0	(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
cost-diff	384	(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
cost-diff	12288	(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	397
0	64	453
1	128	447
2	305	445
3	711	299
4	2130	297
5	6176	297
0	8068	295

Stop Event

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

Calls

Call 1

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

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

localize150.0ms (2%)

Memory

-2.4MiB live, 171.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
accuracy	0.015625	(*.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	14.413622332743383	(+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))
accuracy	23.289012718719718	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy	0	(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
accuracy	0.00390625	(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
accuracy	45.40714058005657	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	0	(-.f64 beta #s(literal -2 binary64))
accuracy	0.0078125	(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
accuracy	0.015625	(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	15.401905195867938	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	40.48199173208875	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0.03125	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
accuracy	0.04296875	(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
accuracy	0.05859375	(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
accuracy	14.373134609795969	(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))

Samples

65.0ms	194×	0	valid
24.0ms	43×	1	valid
17.0ms	19×	2	valid

Compiler

Compiled 780 to 78 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-div: 31.0ms (37.1% of total)

ival-add: 26.0ms (31.1% of total)

ival-mult: 13.0ms (15.6% of total)

adjust: 6.0ms (7.2% of total)

ival-sub: 4.0ms (4.8% of total)

ival-pow2: 3.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

series64.0ms (0.8%)

Memory

-12.8MiB live, 142.0MiB allocated

Counts

19 → 230

Calls

Call 1

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

Outputs
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4))))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))))
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(pow (+ 1 (/ beta (+ 2 beta))) 2)
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(- 1 (/ 1 beta))
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(- (* -2 alpha) 2)
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(pow beta 2)
(+ (* alpha (+ beta (* -1 beta))) (pow beta 2))
(+ (* alpha (+ beta (+ (* -1 alpha) (* -1 beta)))) (pow beta 2))
(/ (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))))
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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))))
(* beta (+ 2 beta))
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(* 1/4 (/ (+ 4 (* 4 beta)) alpha))
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1
(+ 1 (* 2 (/ beta alpha)))
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(/ (+ 4 (* 4 beta)) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 4 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (* 4 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))))))) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -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)))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (* 2 (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3))) (+ (* 4 beta) (+ (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3)) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha))))))))))))))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -2 (/ alpha beta))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(* -2 alpha)
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(/ (+ 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 (pow alpha 2))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) 1))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 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))))
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(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ (* beta (+ 2 beta)) (pow alpha 2))))))
(* -1/2 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 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 (+ (* -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 (+ (* -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 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1/4 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
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(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
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1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
2
(+ 2 beta)
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ (- (* -2 alpha) 2) beta)
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(- 1 (/ alpha (+ 2 alpha)))
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(+ (* -1 (pow alpha 2)) (* beta (+ alpha (* -1 alpha))))
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(/ (pow alpha 2) (pow (+ 2 alpha) 2))
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(* alpha (+ 2 alpha))
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(+ 1 (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)))
(+ 1 (+ (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)) (* 1/2 (/ (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (pow beta 2)))))
(+ 1 (+ (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)) (+ (* 1/2 (/ (- (* 1/2 (+ (* -4 (pow (+ 2 alpha) 3)) (+ (* -2 (pow (+ 2 alpha) 3)) (* (pow alpha 2) (+ 4 (* 2 alpha)))))) (+ (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* -1 (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))))))) (* -1/2 (* (+ 2 (* -2 (+ 2 alpha))) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))))) (pow beta 3))) (* 1/2 (/ (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (pow beta 2))))))
4
(+ 4 (* -4 (/ (+ 2 alpha) beta)))
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* -4 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* -2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))
(- (+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2))))) (/ (pow alpha 2) (pow beta 2)))
(- (+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* -4 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* -2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 3)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))) (/ (pow alpha 2) (pow beta 2)))
(+ 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 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(- (+ 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)))))
(+ 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))))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))))
(/ (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 beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2))))))
(+ 2 (* -1 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha)))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 1 (* -1/2 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (* 1/2 (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (pow (+ 2 alpha) 3) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3))) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (pow alpha 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) 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)))
(- (+ 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)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
(/ (+ (* -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))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (/ (* alpha (+ 2 alpha)) beta)))) beta))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	alpha	@	0	((/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (/ (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ 2 (+ alpha beta)))) (/ (+ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ 2 (+ alpha beta)))) 1) 2) (+ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ 2 (+ alpha beta)))) 1) (* (+ alpha beta) (- beta alpha)) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ alpha beta) (+ 2 (+ alpha beta))))
10.0ms	beta	@	inf	((/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (/ (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ 2 (+ alpha beta)))) (/ (+ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ 2 (+ alpha beta)))) 1) 2) (+ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ 2 (+ alpha beta)))) 1) (* (+ alpha beta) (- beta alpha)) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ alpha beta) (+ 2 (+ alpha beta))))
10.0ms	alpha	@	-inf	((/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (/ (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ 2 (+ alpha beta)))) (/ (+ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ 2 (+ alpha beta)))) 1) 2) (+ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ 2 (+ alpha beta)))) 1) (* (+ alpha beta) (- beta alpha)) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ alpha beta) (+ 2 (+ alpha beta))))
8.0ms	beta	@	0	((/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (/ (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ 2 (+ alpha beta)))) (/ (+ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ 2 (+ alpha beta)))) 1) 2) (+ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ 2 (+ alpha beta)))) 1) (* (+ alpha beta) (- beta alpha)) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ alpha beta) (+ 2 (+ alpha beta))))
8.0ms	alpha	@	inf	((/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (/ (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ 2 (+ alpha beta)))) (/ (+ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ 2 (+ alpha beta)))) 1) 2) (+ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ 2 (+ alpha beta)))) 1) (* (+ alpha beta) (- beta alpha)) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ alpha beta) (+ 2 (+ alpha beta))))

simplify235.0ms (3.1%)

Memory

41.3MiB live, 347.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1503	12743
1	5083	11926
0	8330	11311

Stop Event

1×	iter limit
1×	node limit

Counts

230 → 229

Calls

Call 1

Inputs
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4))))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))))))))
(pow (+ 1 (/ beta (+ 2 beta))) 2)
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ beta (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))))) (/ (pow beta 2) (pow (+ 2 beta) 4))))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* -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)))))))))
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(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(/ -2 beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
-2
(- (* -2 alpha) 2)
(/ 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)))
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(pow beta 2)
(+ (* alpha (+ beta (* -1 beta))) (pow beta 2))
(+ (* alpha (+ beta (+ (* -1 alpha) (* -1 beta)))) (pow beta 2))
(/ (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))))
(* beta (+ 2 beta))
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(* 1/4 (/ (+ 4 (* 4 beta)) alpha))
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1
(+ 1 (* 2 (/ beta alpha)))
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(/ (+ 4 (* 4 beta)) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 4 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (* 4 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))))))) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -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)))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (* 2 (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3))) (+ (* 4 beta) (+ (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3)) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha))))))))))))))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -2 (/ alpha beta))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(* -2 alpha)
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(/ (+ 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 (pow alpha 2))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) 1))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 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))))
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(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ (* beta (+ 2 beta)) (pow alpha 2))))))
(* -1/2 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (- (* 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 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
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(* -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 (/ (+ (* -2 beta) (* -1 (/ (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) alpha))) alpha)))
(+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -2 (* beta (pow (+ 2 beta) 2))) (* 2 (* (pow beta 2) (+ 2 beta)))) alpha)) (pow beta 2))) alpha))) alpha)))
(* -1 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)))) alpha))
(* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -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))))) alpha)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) alpha)))) alpha))
(* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* -1 (/ (+ (* -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)))))) alpha)) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) alpha)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) alpha)))) 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))
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(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
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(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
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(* (pow alpha 2) (- (* -1 (/ (+ beta (* -1 beta)) alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (+ beta (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha)))) alpha)) 1))
(+ 1 (* -2 (/ (+ 2 beta) alpha)))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 2) alpha)) (* -2 (+ 2 beta))) alpha)))
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (+ 2 beta))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (+ (* -1 (+ 2 beta)) (* -1 (/ (* beta (+ 2 beta)) alpha)))) alpha))))
(/ (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (+ 1 (/ alpha (+ 2 alpha))))
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(+ 1 (* 2 (/ beta (+ 2 alpha))))
(+ 1 (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (* 2 (/ 1 (+ 2 alpha))))))
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(- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
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(- (+ 1 (* beta (+ (* 2 (/ 1 (+ 2 alpha))) (+ (* beta (- (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 2)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(- (+ 1 (* beta (+ (* 2 (/ 1 (+ 2 alpha))) (+ (* beta (- (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (+ (* 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))))) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
2
(+ 2 beta)
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ (- (* -2 alpha) 2) beta)
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (* -1 alpha))))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (+ beta (* -1 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)))
(* alpha (+ 2 alpha))
(+ (* alpha (+ 2 alpha)) (* beta (+ 2 (* 2 alpha))))
(+ (* alpha (+ 2 alpha)) (* beta (+ 2 (+ beta (* 2 alpha)))))
(+ 2 (+ (* -2 (/ (+ 2 alpha) beta)) (* 2 (/ 1 beta))))
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(+ 1 (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)))
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4
(+ 4 (* -4 (/ (+ 2 alpha) beta)))
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(- (+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2))))) (/ (pow alpha 2) (pow beta 2)))
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(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
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(+ 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 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(- (+ 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)))))
(+ 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))))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))))
(/ (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 beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2))))))
(+ 2 (* -1 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha)))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 1 (* -1/2 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (* 1/2 (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (pow (+ 2 alpha) 3) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3))) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (pow alpha 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) 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)))
(- (+ 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)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
(/ (+ (* -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))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (+ 2 alpha))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (/ (* alpha (+ 2 alpha)) beta)))) beta))))

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

rewrite192.0ms (2.6%)

Memory

-28.6MiB live, 303.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	321
0	64	329
1	337	209
2	3302	209
0	8277	209

Stop Event

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

Counts

19 → 975

Calls

Call 1

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

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

eval197.0ms (2.6%)

Memory: 27.5MiB live, 294.3MiB allocated
Compiler: Compiled 48 728 to 4 960 computations (89.8% saved)

prune75.0ms (1%)

Memory

-19.4MiB live, 62.2MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	998	9	1 007
Fresh	1	5	6
Picked	4	1	5
Done	0	0	0
Total	1 003	15	1 018

Accuracy

100.0%

Counts

1 018 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.7%	(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	53.4%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) alpha)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64))
	75.6%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (/.f64 (.f64 (neg.f64 alpha) alpha) (*.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
	32.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶	75.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)))
	24.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
	25.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
	26.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
▶	53.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
▶	29.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
	49.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
	48.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
	49.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
▶	52.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	36.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 907 to 568 computations (37.4% saved)

simplify226.0ms (3%)

Memory

15.2MiB live, 142.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
cost-diff	0	(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	512	(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	2688	(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64))
cost-diff	0	(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) beta)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
cost-diff	0	#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
cost-diff	0	#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 beta #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64)))
cost-diff	0	(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	297
0	66	295
1	120	291
2	195	291
3	370	289
4	947	257
5	3528	253
0	8235	246

Stop Event

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

Calls

Call 1

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

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

localize207.0ms (2.8%)

Memory

-33.4MiB live, 123.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
accuracy	14.613099081256776	(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) #s(literal 1 binary64))
accuracy	15.48101328592706	(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	22.616347837048316	(/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))
accuracy	0	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
accuracy	0.015625	(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
accuracy	16.79636559764793	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
accuracy	18.68198781293891	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) beta)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
accuracy	15.439142092407735	#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
accuracy	45.40714058005657	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
accuracy	15.401905195867938	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
accuracy	17.931662796851334	#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))
accuracy	0	(-.f64 beta #s(literal -2 binary64))
accuracy	0.00390625	(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy	0.01171875	(/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64)))
accuracy	15.401905195867938	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)))

Samples

98.0ms	186×	0	valid
39.0ms	30×	2	valid
19.0ms	40×	1	valid

Compiler

Compiled 549 to 90 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-div: 54.0ms (46.1% of total)

ival-add: 35.0ms (29.9% of total)

ival-mult: 13.0ms (11.1% of total)

adjust: 8.0ms (6.8% of total)

ival-sub: 6.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

19 → 160

Calls

Call 1

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

Outputs
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
1
(+ 1 (* -1/2 alpha))
(+ 1 (* alpha (- (* 1/4 alpha) 1/2)))
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))
(* 1/2 alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
(+ 1 (/ 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))))
(/ (pow beta 2) (+ 2 beta))
(+ (* alpha (- (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+ (* alpha (- (+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ beta (pow (+ 2 beta) 3)) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(pow beta 2)
(+ (* alpha beta) (pow beta 2))
(+ (* alpha (+ alpha beta)) (pow beta 2))
(/ 1 beta)
(+ (* -2 (/ alpha (pow beta 2))) (/ 1 beta))
(+ (* alpha (- (/ alpha (pow beta 3)) (* 2 (/ 1 (pow beta 2))))) (/ 1 beta))
(+ (* alpha (- (* alpha (+ (/ 1 (pow beta 3)) (/ alpha (pow beta 4)))) (* 2 (/ 1 (pow beta 2))))) (/ 1 beta))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/ 2 alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
(/ (+ 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)
alpha
(* alpha (- 1 (* 2 (/ 1 alpha))))
(* alpha (- (+ 1 (/ (pow beta 2) (pow alpha 2))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha)))))
(* alpha (- (+ 1 (+ (* -1 (/ (* (+ 2 beta) (- (pow beta 2) (* -2 (+ 2 beta)))) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2)))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (/ beta alpha)))
(* (pow alpha 2) (+ 1 (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))
(/ -1 alpha)
(/ (- (/ beta alpha) (+ 1 (* -1 (/ beta alpha)))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (pow beta 2)) (* beta (- beta (* -1 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ beta alpha)))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (* beta (+ (* -1 (pow beta 2)) (* beta (- beta (* -1 beta)))))) (* (pow beta 2) (- beta (* -1 beta)))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (/ (* beta (- beta (* -1 beta))) (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 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) 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 (/ 1 alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow beta 2)) (* 2 (+ 2 beta))) alpha)) 2) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 beta) (- (* -1 (pow beta 2)) (* 2 (+ 2 beta)))) alpha)) (* -1 (pow beta 2))) (* 2 (+ 2 beta))) alpha)) 2) alpha)) 1)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(* -1 (/ (+ 1 (* -1 (/ (- beta (* -1 beta)) alpha))) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (+ (* -1 (/ (* beta (- beta (* -1 beta))) alpha)) (/ (pow beta 2) alpha))) (* -1 beta)) alpha))) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (/ (* beta (+ (* -1 (* beta (- beta (* -1 beta)))) (pow beta 2))) alpha) (/ (* (pow beta 2) (- beta (* -1 beta))) alpha)) (+ (* -1 (* beta (- beta (* -1 beta)))) (pow beta 2))) alpha))) (* -1 beta)) alpha))) alpha))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1/4
(+ 1/4 (* -1/8 beta))
(+ 1/4 (* beta (- (* 1/16 beta) 1/8)))
(+ 1/4 (* beta (- (* beta (+ 1/16 (* -1/32 beta))) 1/8)))
2
(+ 2 beta)
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ -1 beta)
(/ (- beta 1) beta)
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(/ (pow alpha 2) (+ 2 alpha))
(+ (* beta (- (/ alpha (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
(+ (* beta (- (+ (* beta (- (+ (/ 1 (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ alpha (pow (+ 2 alpha) 3)) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (+ (/ 1 (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
(+ (* alpha beta) (pow alpha 2))
(+ (* beta (+ alpha beta)) (pow alpha 2))
(- (* 2 (/ beta (pow alpha 2))) (/ 1 alpha))
(- (* beta (+ (* -1 (/ beta (pow alpha 3))) (* 2 (/ 1 (pow alpha 2))))) (/ 1 alpha))
(- (* beta (+ (* beta (- (* -1 (/ beta (pow alpha 4))) (/ 1 (pow alpha 3)))) (* 2 (/ 1 (pow alpha 2))))) (/ 1 alpha))
(+ 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 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(/ 1/2 beta)
(/ (- 1/2 (/ 1 beta)) beta)
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (/ 1 beta)) beta)
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 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))))))
(* beta (- 1 (* 2 (/ 1 beta))))
(* beta (- (+ 1 (/ (pow alpha 2) (pow beta 2))) (+ (* -2 (/ (+ 2 alpha) (pow beta 2))) (* 2 (/ 1 beta)))))
(* beta (- (+ 1 (+ (* -1 (/ (* (+ 2 alpha) (- (pow alpha 2) (* -2 (+ 2 alpha)))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2)))) (+ (* -2 (/ (+ 2 alpha) (pow beta 2))) (* 2 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (/ alpha beta)))
(* (pow beta 2) (+ 1 (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))
(/ (- (+ 1 (* -1 (/ alpha beta))) (/ alpha beta)) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* alpha (- (* -1 alpha) alpha)) (pow alpha 2)) (pow beta 2))))) (/ alpha beta)) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* -1 (* alpha (+ (* alpha (- (* -1 alpha) alpha)) (pow alpha 2)))) (* (pow alpha 2) (- (* -1 alpha) alpha))) (pow beta 3))))) (+ (/ alpha beta) (+ (/ (* alpha (- (* -1 alpha) alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))) beta)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(* -1 (/ (- (/ 1 beta) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 beta)) 1) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1) beta)) 1/2) beta))
(- (+ 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 (/ 1 beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow alpha 2)) (* 2 (+ 2 alpha))) beta)) 2) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (- (* -1 (pow alpha 2)) (* 2 (+ 2 alpha)))) beta)) (* -1 (pow alpha 2))) (* 2 (+ 2 alpha))) beta)) 2) beta)) 1)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(* -1 (/ (- (/ alpha beta) (+ 1 (* -1 (/ alpha beta)))) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (pow alpha 2)) beta))) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (+ (* -1 (/ (+ (* alpha (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (pow alpha 2))) (* (pow alpha 2) (- alpha (* -1 alpha)))) beta)) (pow alpha 2))) beta))) beta)) 1) beta))

Calls

6 calls:

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

simplify239.0ms (3.2%)

Memory

14.5MiB live, 173.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	813	3328
1	2542	3106
2	7691	3067
0	8387	2885

Stop Event

1×	iter limit
1×	node limit

Counts

160 → 158

Calls

Call 1

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

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

rewrite223.0ms (3%)

Memory

-14.1MiB live, 143.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	266
0	66	264
1	348	226
2	2963	226
0	9328	224

Stop Event

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

Counts

19 → 562

Calls

Call 1

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

Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(/.f64 (-.f64 (pow.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) #s(literal 2 binary64)) (.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 beta alpha))) (neg.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)))))
(/.f64 (neg.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (neg.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (+.f64 alpha beta))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) #s(literal 1 binary64)) (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))))
(/.f64 (.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 beta alpha) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)))
(/.f64 (-.f64 (.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) alpha)) (pow.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (+.f64 alpha beta)))
(/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))))
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (-.f64 beta alpha)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (-.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (-.f64 beta alpha)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (-.f64 beta alpha)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (-.f64 beta alpha)))
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))))
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)))))
(fma.f64 (/.f64 beta (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) #s(literal -1 binary64))) (neg.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)))))
(fma.f64 (/.f64 beta (-.f64 (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 4 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 (neg.f64 beta) beta)) (neg.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha beta) alpha)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 3 binary64)))) (fma.f64 (.f64 beta beta) (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha beta) alpha)) (pow.f64 (.f64 (+.f64 alpha beta) alpha) #s(literal 2 binary64))) (neg.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)))))
(fma.f64 #s(literal 1 binary64) (/.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (neg.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)))))
(fma.f64 beta (pow.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)))))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) #s(literal 2 binary64)) (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))))) (/.f64 (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) #s(literal 2 binary64)) (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))))))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) #s(literal 2 binary64)) (.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))))))) (/.f64 (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) #s(literal 2 binary64)) (.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))))))))
(-.f64 (/.f64 (.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (pow.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) alpha) (pow.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (+.f64 alpha beta))) (/.f64 (.f64 alpha alpha) (.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (+.f64 alpha beta))))
(-.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 2 binary64))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (/.f64 (/.f64 (.f64 alpha alpha) (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))))
(-.f64 (/.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (/.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)))) (/.f64 (-.f64 beta alpha) (neg.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)))))
(-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) (-.f64 beta alpha))) #s(literal -1 binary64)))
(+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) (neg.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)))))

eval187.0ms (2.5%)

Memory: -0.1MiB live, 195.5MiB allocated
Compiler: Compiled 30 101 to 3 275 computations (89.1% saved)

prune53.0ms (0.7%)

Memory

18.2MiB live, 57.6MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	743	10	753
Fresh	5	4	9
Picked	1	4	5
Done	0	1	1
Total	749	19	768

Accuracy

100.0%

Counts

768 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.8%	(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) #s(approx (+ ( alpha (+ alpha beta)) (* beta beta)) (*.f64 alpha alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	53.4%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) alpha)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64))
▶	75.6%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (/.f64 (.f64 (neg.f64 alpha) alpha) (*.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
	32.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	75.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)))
	49.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
	48.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
	49.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
	26.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
✓	53.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
✓	29.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
✓	52.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
▶	51.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
▶	52.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
▶	51.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
	21.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)) alpha)))
▶	20.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
	21.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
✓	36.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 1 022 to 661 computations (35.3% saved)

simplify174.0ms (2.3%)

Memory

-8.6MiB live, 146.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
cost-diff	0	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
cost-diff	0	(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (/.f64 (.f64 (neg.f64 alpha) alpha) (*.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
cost-diff	128	(neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
cost-diff	512	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (/.f64 (.f64 (neg.f64 alpha) alpha) (*.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
cost-diff	1216	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (/.f64 (.f64 (neg.f64 alpha) alpha) (*.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	525
0	83	525
1	160	516
2	432	515
3	1767	497
4	7838	497
0	8208	488

Stop Event

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

Calls

Call 1

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

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

localize215.0ms (2.9%)

Memory

-3.7MiB live, 273.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
accuracy	0.125	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
accuracy	18.68198781293891	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
accuracy	45.24219940697103	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))
accuracy	0	(fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64))
accuracy	0.03125	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
accuracy	18.30433323273419	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
accuracy	18.68198781293891	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
accuracy	0	(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
accuracy	0	(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))
accuracy	17.952575442276036	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
accuracy	18.68198781293891	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
accuracy	0	(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
accuracy	18.36096715818779	#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))
accuracy	18.68198781293891	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
accuracy	0.03125	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
accuracy	0.04296875	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (/.f64 (.f64 (neg.f64 alpha) alpha) (*.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
accuracy	9.234079917341974	(/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
accuracy	14.373134609795969	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (/.f64 (.f64 (neg.f64 alpha) alpha) (*.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))

Samples

64.0ms	186×	0	valid
44.0ms	30×	2	valid
24.0ms	40×	1	valid

Compiler

Compiled 958 to 106 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

adjust: 27.0ms (28.1% of total)

ival-add: 21.0ms (21.9% of total)

ival-div: 19.0ms (19.8% of total)

ival-mult: 18.0ms (18.7% of total)

ival-sub: 7.0ms (7.3% of total)

ival-neg: 3.0ms (3.1% of total)

exact: 1.0ms (1% of total)

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

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

series26.0ms (0.3%)

Memory

23.2MiB live, 61.5MiB allocated

Counts

22 → 177

Calls

Call 1

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

Outputs
(pow (+ 1 (/ beta (+ 2 beta))) 2)
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ beta (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
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1/2
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1/8
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(/ (+ 4 (* 4 beta)) alpha)
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(* -1 alpha)
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(* -1/4 alpha)
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(* 1/8 (pow alpha 2))
(* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha))))
(* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha))))
(* 1/8 alpha)
(* alpha (- 1/8 (* 1/4 (/ 1 alpha))))
(* -1/16 (pow alpha 3))
(* (pow alpha 3) (- (* 1/8 (/ 1 alpha)) 1/16))
(* (pow alpha 3) (- (* 1/8 (/ 1 alpha)) (+ 1/16 (/ 1/4 (pow alpha 2)))))
(* (pow alpha 3) (- (+ (* 1/8 (/ 1 alpha)) (* 1/2 (/ 1 (pow alpha 3)))) (+ 1/16 (/ 1/4 (pow alpha 2)))))
(* -1/16 (pow alpha 2))
(* (pow alpha 2) (- (* 1/8 (/ 1 alpha)) 1/16))
(* (pow alpha 2) (- (* 1/8 (/ 1 alpha)) (+ 1/16 (/ 1/4 (pow alpha 2)))))
1
(- 1 (* 2 (/ 1 alpha)))
(+ 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))))
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(* -1/16 alpha)
(* alpha (- (* 1/8 (/ 1 alpha)) 1/16))
(* -1 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))
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(* -1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (- (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) (* (+ 4 (* 2 beta)) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))))))) (+ (* 1/4 (* (- (* -2 beta) (+ 4 (* 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 (* (pow beta 2) (+ 2 beta)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))))) (+ (* 1/4 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (- (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))))))))) (* 1/2 (* (- (* 1/2 (- (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta)))))))) alpha)) (* 1/2 (- (* 1/2 (- (+ (* -2 (* beta (pow (+ 2 beta) 2))) (* 2 (* (pow beta 2) (+ 2 beta)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))))) (+ (* 1/4 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (- (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))))))))) alpha)) (* 1/2 (- (* 1/2 (- (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))))) alpha)) (* 1/4 (- (* -2 beta) (+ 4 (* 2 beta))))) alpha))
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(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
2
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(+ 1 (* -1/2 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (- (* 6 (pow (+ 2 alpha) 3)) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (* 1/2 (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(+ 2 (* -1 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (- (* 6 (pow (+ 2 alpha) 3)) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha)))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) beta)) (* (pow alpha 2) (+ 4 (* 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))))) (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))))) beta)) (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)))) beta)) (* (pow alpha 2) (+ 4 (* 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (pow (+ 2 alpha) 3) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 4 (+ 2 alpha))) beta)))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	alpha	@	-inf	((- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2)))) (/ (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2)))) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) 2) (neg (- (+ alpha beta) -2)) (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2)))) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) alpha) 1/2) (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2))) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (* -1/16 alpha) 1/8))
3.0ms	beta	@	0	((- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2)))) (/ (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2)))) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) 2) (neg (- (+ alpha beta) -2)) (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2)))) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) alpha) 1/2) (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2))) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (* -1/16 alpha) 1/8))
3.0ms	alpha	@	inf	((- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2)))) (/ (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2)))) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) 2) (neg (- (+ alpha beta) -2)) (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2)))) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) alpha) 1/2) (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2))) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (* -1/16 alpha) 1/8))
3.0ms	alpha	@	0	((- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2)))) (/ (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2)))) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) 2) (neg (- (+ alpha beta) -2)) (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2)))) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) alpha) 1/2) (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2))) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (* -1/16 alpha) 1/8))
2.0ms	beta	@	-inf	((- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2)))) (/ (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2)))) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) 2) (neg (- (+ alpha beta) -2)) (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2)))) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) alpha) 1/2) (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (/ (* (neg alpha) alpha) (* (neg (- (+ alpha beta) -2)) (- (+ alpha beta) -2))) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (* -1/16 alpha) 1/8))

simplify218.0ms (2.9%)

Memory

-15.1MiB live, 338.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1219	11513
1	4070	10949
0	8303	10275

Stop Event

1×	iter limit
1×	node limit

Counts

177 → 177

Calls

Call 1

Inputs
(pow (+ 1 (/ beta (+ 2 beta))) 2)
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ beta (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))))))))
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4))))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
-1/4
(- (* 1/8 alpha) 1/4)
(- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)
(/ -2 (pow alpha 2))
(/ (- alpha 2) (pow alpha 2))
(/ -2 alpha)
(/ (- alpha 2) 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))))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))))) (/ (pow beta 2) (pow (+ 2 beta) 4))))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
1/8
(+ 1/8 (* -1/16 alpha))
(/ (+ 4 (* 4 beta)) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 4 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (* 4 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))))))) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -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)))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (* 2 (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3))) (+ (* 4 beta) (+ (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3)) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha))))))))))))))) alpha)
(* 1/4 (/ (+ 4 (* 4 beta)) alpha))
(/ (+ (* 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))) alpha)
(/ (+ (* 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 (* (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)
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(* -1 alpha)
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(* -1/4 alpha)
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(* 1/8 alpha)
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(* (pow alpha 3) (- (* 1/8 (/ 1 alpha)) 1/16))
(* (pow alpha 3) (- (* 1/8 (/ 1 alpha)) (+ 1/16 (/ 1/4 (pow alpha 2)))))
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(* -1/16 (pow alpha 2))
(* (pow alpha 2) (- (* 1/8 (/ 1 alpha)) 1/16))
(* (pow alpha 2) (- (* 1/8 (/ 1 alpha)) (+ 1/16 (/ 1/4 (pow alpha 2)))))
1
(- 1 (* 2 (/ 1 alpha)))
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(* -1/16 alpha)
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
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(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
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(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))
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(* (pow alpha 2) (- (* -1 (/ (- (* 1/4 (/ 1 alpha)) 1/8) alpha)) 1/16))
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(+ (* 1/2 (/ (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (+ 1 (/ alpha (+ 2 alpha))))) (* beta (+ (* 1/2 (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (* beta (+ (* 1/2 (* 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)))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 6))))) (+ (* -1 (/ (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (+ 1 (/ alpha (+ 2 alpha))))) (+ (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)) (/ (* (- (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 6)))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (* -1 (/ (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))) (/ (* (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (/ alpha (+ 2 alpha))))))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (/ alpha (+ 2 alpha))))))))) (* 1/2 (- (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 6)))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (* -1 (/ (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))) (/ (* (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (/ alpha (+ 2 alpha)))))))))))))
(* -1 (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(/ (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (+ 1 (/ alpha (+ 2 alpha))))
(- (+ (* beta (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (/ 1 (+ 1 (/ alpha (+ 2 alpha))))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))))
(- (+ (* beta (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (+ (* beta (- (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 6)))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (* -1 (/ (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))) (/ (* (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (/ alpha (+ 2 alpha)))))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (/ 1 (+ 1 (/ alpha (+ 2 alpha))))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))))
(- (+ (* beta (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (+ (* beta (- (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 6)))) (+ (* 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)))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 6))))) (+ (* -1 (/ (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (+ 1 (/ alpha (+ 2 alpha))))) (+ (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)) (/ (* (- (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 6)))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (* -1 (/ (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))) (/ (* (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (/ alpha (+ 2 alpha))))))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (/ alpha (+ 2 alpha)))))))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))))) (+ (* -1 (/ (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))) (/ (* (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (/ alpha (+ 2 alpha)))))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (/ 1 (+ 1 (/ alpha (+ 2 alpha))))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(/ (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)))
(+ 1 (* 2 (/ beta (+ 2 alpha))))
(+ 1 (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (* 2 (/ 1 (+ 2 alpha))))))
(+ 1 (* beta (+ (* beta (- (/ (pow beta 2) (pow (+ 2 alpha) 4)) (/ 1 (pow (+ 2 alpha) 2)))) (* 2 (/ 1 (+ 2 alpha))))))
4
(+ 4 (* -4 (/ (+ 2 alpha) beta)))
(- (+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2))))) (/ (pow alpha 2) (pow beta 2)))
(- (+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* -4 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* -2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 3)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))) (/ (pow alpha 2) (pow beta 2)))
(+ 1 (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)))
(+ 1 (+ (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)) (* 1/2 (/ (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (pow beta 2)))))
(+ 1 (+ (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)) (+ (* 1/2 (/ (- (* 1/2 (+ (* -4 (pow (+ 2 alpha) 3)) (+ (* -2 (pow (+ 2 alpha) 3)) (* (pow alpha 2) (+ 4 (* 2 alpha)))))) (+ (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* -1 (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))))))) (* -1/2 (* (+ 2 (* -2 (+ 2 alpha))) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))))) (pow beta 3))) (* 1/2 (/ (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (pow beta 2))))))
(* -1 beta)
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
2
(+ 2 (+ (* -2 (/ (+ 2 alpha) beta)) (* 2 (/ 1 beta))))
(- (+ 2 (+ (* -2 (/ (+ 2 alpha) beta)) (+ (* 1/2 (/ (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2)) (pow beta 2))) (* 2 (/ 1 beta))))) (+ (* -1 (/ (+ 2 (* -2 (+ 2 alpha))) (pow beta 2))) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2)))))
(- (+ 2 (+ (* -2 (/ (+ 2 alpha) beta)) (+ (* 1/2 (/ (+ (* -4 (pow (+ 2 alpha) 3)) (+ (* -2 (pow (+ 2 alpha) 3)) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (pow beta 3))) (+ (* 1/2 (/ (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2)) (pow beta 2))) (* 2 (/ 1 beta)))))) (+ (* -1 (/ (+ 2 (* -2 (+ 2 alpha))) (pow beta 2))) (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2))) (+ (* -1 (/ (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (pow beta 3))) (* -1/2 (/ (* (+ 2 (* -2 (+ 2 alpha))) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow beta 3))))))))
(+ 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))))))
(/ (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))
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* -4 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* -2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))
(+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 6 (pow (+ 2 alpha) 3)) (* (pow alpha 2) (+ 4 (* 2 alpha)))) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (pow alpha 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 1 (* -1/2 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (- (* 6 (pow (+ 2 alpha) 3)) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (* 1/2 (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(+ 2 (* -1 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (- (* 6 (pow (+ 2 alpha) 3)) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha)))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) beta)) (* (pow alpha 2) (+ 4 (* 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))))) (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))))) beta)) (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)))) beta)) (* (pow alpha 2) (+ 4 (* 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (pow (+ 2 alpha) 3) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 4 (+ 2 alpha))) beta)))

Outputs
(pow (+ 1 (/ beta (+ 2 beta))) 2)
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ beta (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(fma.f64 (/.f64 (*.f64 (fma.f64 beta (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) beta) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 beta (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (-.f64 (/.f64 (.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 beta (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 beta (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 beta (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 beta (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
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(* -1 (+ 2 beta))
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1/2
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(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))
(* (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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(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
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(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))))) (/ (pow beta 2) (pow (+ 2 beta) 4))))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
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1/8
#s(literal 1/8 binary64)
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(fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64))
(/ (+ 4 (* 4 beta)) alpha)
(/.f64 (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64)) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 4 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))) alpha)
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(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (* 4 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))))))) alpha)
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(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -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)))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (* 2 (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3))) (+ (* 4 beta) (+ (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3)) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha))))))))))))))) alpha)
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(* 1/4 (/ (+ 4 (* 4 beta)) alpha))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64)) alpha) #s(literal 1/4 binary64))
(/ (+ (* 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))) alpha)
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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 (* (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)
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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)
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(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 alpha alpha))) (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) 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))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (pow.f64 alpha #s(literal 3 binary64)))) (-.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 alpha alpha)) (/.f64 #s(literal 4 binary64) alpha))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 alpha alpha))))
(+ 1 (* 2 (/ beta alpha)))
(fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) beta) alpha) (fma.f64 (/.f64 beta alpha) (/.f64 beta alpha) (.f64 (/.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 3))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2)))))))
(+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) beta) alpha) (fma.f64 (/.f64 (.f64 (.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (/.f64 beta alpha) (/.f64 beta alpha) (/.f64 (.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta) #s(literal 2 binary64)) (pow.f64 alpha #s(literal 3 binary64))))))) #s(literal 1 binary64))
(* -1/16 alpha)
(*.f64 #s(literal -1/16 binary64) alpha)
(* alpha (- (* 1/8 (/ 1 alpha)) 1/16))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/16 binary64)) alpha)
(* -1 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha)
(* -1 (/ (- (+ (* -2 beta) (* -1 (/ (- (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2))) alpha))) (+ 4 (* 2 beta))) alpha))
(/.f64 (fma.f64 #s(literal -2 binary64) beta (-.f64 (/.f64 (-.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) beta) #s(literal -2 binary64) (.f64 beta beta)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (neg.f64 alpha))
(* -1 (/ (- (+ (* -2 beta) (* -1 (/ (- (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (/ (- (+ (* -2 (* beta (pow (+ 2 beta) 2))) (* 2 (* (pow beta 2) (+ 2 beta)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2))))) alpha)) (pow beta 2))) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2))) alpha))) (+ 4 (* 2 beta))) alpha))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) beta (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta) (-.f64 (fma.f64 beta beta (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) beta) (.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta) #s(literal -2 binary64))) (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (neg.f64 alpha))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (neg.f64 alpha))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha)
(* -1 (/ (- (+ (* -2 beta) (* -1 (/ (- (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (/ (- (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* -1 (/ (- (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) (* (+ 4 (* 2 beta)) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2))))))) alpha)) (* 2 (* (pow beta 2) (+ 2 beta))))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2))))) alpha)) (pow beta 2))) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2))) alpha))) (+ 4 (* 2 beta))) alpha))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) beta (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta) (-.f64 (fma.f64 beta beta (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) (.f64 (.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta) #s(literal -2 binary64))) (fma.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) (neg.f64 alpha))) (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))) (neg.f64 alpha))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (neg.f64 alpha))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha)
(* -1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))
(.f64 (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) beta)) alpha) #s(literal -1/4 binary64))
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (- (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))) alpha)) (* 1/4 (- (* -2 beta) (+ 4 (* 2 beta))))) alpha))
(/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) beta) #s(literal -2 binary64) (.f64 beta beta)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) beta)))) alpha) #s(literal -1/2 binary64) (.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) beta)) #s(literal 1/4 binary64))) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (- (+ (* -2 (* beta (pow (+ 2 beta) 2))) (* 2 (* (pow beta 2) (+ 2 beta)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))))) (+ (* 1/4 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (- (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))))))) alpha)) (* 1/2 (- (* 1/2 (- (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))))) alpha)) (* 1/4 (- (* -2 beta) (+ 4 (* 2 beta))))) alpha))
(/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) beta)) #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) beta) (.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta) #s(literal -2 binary64))) (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (-.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) beta))))) (neg.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) beta) #s(literal -2 binary64) (.f64 beta beta)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) beta)))))) alpha) #s(literal -1/2 binary64) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) beta) #s(literal -2 binary64) (.f64 beta beta)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (- (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) (* (+ 4 (* 2 beta)) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))))))) (+ (* 1/4 (* (- (* -2 beta) (+ 4 (* 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 (* (pow beta 2) (+ 2 beta)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))))) (+ (* 1/4 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (- (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))))))))) (* 1/2 (* (- (* 1/2 (- (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta)))))))) alpha)) (* 1/2 (- (* 1/2 (- (+ (* -2 (* beta (pow (+ 2 beta) 2))) (* 2 (* (pow beta 2) (+ 2 beta)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))))) (+ (* 1/4 (* (- (* -2 beta) (+ 4 (* 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (- (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))))))))) alpha)) (* 1/2 (- (* 1/2 (- (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))))) alpha)) (* 1/4 (- (* -2 beta) (+ 4 (* 2 beta))))) alpha))
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(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(neg.f64 (fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha))
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(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (neg.f64 alpha) alpha)) #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) (fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal -1 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (- (* 6 (pow (+ 2 alpha) 3)) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (* 1/2 (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (.f64 alpha alpha))) #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha)) (fma.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (neg.f64 alpha) alpha)) #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) (fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta) #s(literal -1/2 binary64) (.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (neg.f64 alpha) alpha)) #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) (fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) beta)) beta))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(neg.f64 (fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta))
(+ 2 (* -1 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) #s(literal -2 binary64)) beta))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (neg.f64 alpha) alpha)) #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) (fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta)) #s(literal 2 binary64)) beta))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (- (* 6 (pow (+ 2 alpha) 3)) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha)))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (/.f64 (-.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (neg.f64 alpha) alpha)) #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) (/.f64 (-.f64 (fma.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (.f64 alpha alpha))) #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha)) (fma.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (neg.f64 alpha) alpha)) #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) (fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta)) (fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta)) #s(literal 2 binary64)) beta))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) (neg.f64 beta))) beta))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) beta)) (* (pow alpha 2) (+ 4 (* 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/.f64 (fma.f64 alpha alpha (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (.f64 alpha alpha) (/.f64 (fma.f64 (.f64 (neg.f64 alpha) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 alpha alpha))) (neg.f64 beta))) (neg.f64 beta))) (*.f64 beta beta))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))))) (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))))) beta)) (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)))) beta)) (* (pow alpha 2) (+ 4 (* 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/.f64 (fma.f64 alpha alpha (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (.f64 alpha alpha) (/.f64 (fma.f64 (.f64 (neg.f64 alpha) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 alpha alpha) (/.f64 (fma.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (neg.f64 alpha) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 alpha alpha))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) (neg.f64 beta)))) (neg.f64 beta))) (neg.f64 beta))) (.f64 beta beta))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(-.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) alpha #s(literal 8 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta)) beta))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (pow (+ 2 alpha) 3) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 4 (+ 2 alpha))) beta)))
(-.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) alpha #s(literal 8 binary64)) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) #s(literal -6 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta)) beta))

rewrite231.0ms (3.1%)

Memory

12.4MiB live, 286.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	431
0	83	391
1	428	310
2	4019	310
0	9200	310

Stop Event

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

Counts

22 → 550

Calls

Call 1

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

Outputs
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 4 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) #s(literal -2 binary64)) (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 6 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 4 binary64))) (pow.f64 (.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) #s(literal -2 binary64)) (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) #s(literal -2 binary64)) (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
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(/.f64 (fma.f64 #s(literal -1/4096 binary64) (pow.f64 alpha #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 #s(literal 1/256 binary64) (.f64 alpha alpha) (-.f64 #s(literal 1/64 binary64) (.f64 alpha #s(literal -1/128 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 alpha alpha) #s(literal -1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/256 binary64) (.f64 alpha alpha) (-.f64 #s(literal 1/64 binary64) (.f64 alpha #s(literal -1/128 binary64)))) (fma.f64 #s(literal -1/4096 binary64) (pow.f64 alpha #s(literal 3 binary64)) #s(literal 1/512 binary64))))
(fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64))
(fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/16 binary64) alpha))) (/.f64 (pow.f64 (.f64 #s(literal -1/16 binary64) alpha) #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) alpha))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/16 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) alpha #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal -1/16 binary64) alpha #s(literal -1/8 binary64))))
(+.f64 (*.f64 #s(literal -1/16 binary64) alpha) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/16 binary64) alpha))

eval140.0ms (1.9%)

Memory: -18.8MiB live, 271.5MiB allocated
Compiler: Compiled 46 099 to 3 891 computations (91.6% saved)

prune27.0ms (0.4%)

Memory

6.6MiB live, 85.4MiB allocated

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	719	4	723
Fresh	2	7	9
Picked	1	4	5
Done	0	5	5
Total	722	20	742

Accuracy

100.0%

Counts

742 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.8%	(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) #s(approx (+ ( alpha (+ alpha beta)) (* beta beta)) (*.f64 alpha alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	52.9%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -2 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) alpha)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64))
	26.9%	(/.f64 (/.f64 (-.f64 #s(approx (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (.f64 (neg.f64 alpha) alpha) (.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
	32.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	75.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)))
	49.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
	48.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
	49.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
	26.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
✓	53.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
✓	29.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
✓	52.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	51.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
✓	52.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
✓	51.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
	21.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)) alpha)))
✓	20.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
	21.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(approx (- 1 (/ 2 alpha)) #s(literal 1 binary64)) alpha)))
	11.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(approx (/ (- 1 (/ 2 alpha)) alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha)))))
✓	36.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 1 738 to 643 computations (63% saved)

regimes51.0ms (0.7%)

Memory

18.1MiB live, 99.3MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

13.0ms	beta
9.0ms	alpha
9.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
9.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 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
96.1%	2	`alpha`
77.5%	1	`beta`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes26.0ms (0.4%)

Memory

10.4MiB live, 49.3MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

9.0ms

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

8.0ms

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

7.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes20.0ms (0.3%)

Memory

1.6MiB live, 40.3MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes20.0ms (0.3%)

Memory

-8.5MiB live, 34.0MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms

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

5.0ms

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

5.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes39.0ms (0.5%)

Memory

-16.4MiB live, 22.5MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

30.0ms

(+.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
98.0%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.0%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.0%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes12.0ms (0.2%)

Memory

19.8MiB live, 19.9MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms

(/.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))

3.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes39.0ms (0.5%)

Memory

-11.2MiB live, 28.1MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

28.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
4.0ms	alpha
3.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
70.1%	2	`alpha`
92.6%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
92.6%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.6%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes12.0ms (0.2%)

Memory

-15.7MiB live, 21.6MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

5.0ms

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

3.0ms

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

3.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes8.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
91.9%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
91.9%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.9%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes16.0ms (0.2%)

Memory

-24.6MiB live, 20.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

9.0ms	beta
2.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
74.7%	2	`beta`
74.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
74.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
74.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes7.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
73.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
73.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
73.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
73.9%	2	`beta`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes6.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	beta
1.0ms	alpha
1.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms	(+.f64 (/.f64 (-.f64 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
36.7%	1	`alpha`
36.7%	1	`beta`
36.7%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
36.7%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
36.7%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999784036104	-0.9977735629706084

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999784036104	-0.9977735629706084

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999398366	-0.9999999784036104

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9977735629706084	-0.0011543142791416907

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch3.0ms (0%)

Memory

-35.8MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0005836713077274008	0.9864562577247227
0.0ms	-0.9977735629706084	-0.0011543142791416907

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0005836713077274008	0.9864562577247227
0.0ms	-0.9977735629706084	-0.0011543142791416907

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0005836713077274008	0.9864562577247227
0.0ms	-0.9977735629706084	-0.0011543142791416907

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0005836713077274008	0.9864562577247227
0.0ms	-0.9977735629706084	-0.0011543142791416907

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0005836713077274008	0.9864562577247227
0.0ms	-0.9977735629706084	-0.0011543142791416907

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch19.0ms (0.2%)

Memory

1.2MiB live, 39.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.19374307015329878	145.66967351784277

Samples

6.0ms	90×	0	valid
3.0ms	24×	1	valid
3.0ms	14×	2	valid

Compiler

Compiled 360 to 295 computations (18.1% saved)

Precisions

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

ival-div: 4.0ms (47.3% of total)

ival-add: 2.0ms (23.7% of total)

adjust: 1.0ms (11.8% of total)

ival-sub: 1.0ms (11.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005836713077274008	0.9864562577247227

Compiler

Compiled 16 to 16 computations (0% saved)

simplify29.0ms (0.4%)

Memory

26.6MiB live, 65.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	876
1	121	876
2	138	876
3	150	876
4	160	876
5	184	876
6	224	876

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007199074597007/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -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 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4494592428115755/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4494592428115755/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4494592428115755/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007199074597007/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007199074597007/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 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 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

soundness893.0ms (11.9%)

Memory

-16.8MiB live, 858.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2206
1	1394	2067
2	4570	1878
0	8653	1750
0	813	3328
1	2542	3106
2	7691	3067
0	8387	2885
0	38	321
0	64	329
1	337	209
2	3302	209
0	8277	209
0	10	44
0	16	44
1	91	44
2	748	44
0	9057	43
0	1503	12743
1	5083	11926
0	8330	11311

Stop Event

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

Compiler

Compiled 1 069 to 310 computations (71% saved)

preprocess58.0ms (0.8%)

Memory: 12.5MiB live, 129.6MiB allocated
Compiler: Compiled 1 778 to 232 computations (87% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.8s (23.4%)

explain131.0ms (1.7%)

preprocess337.0ms (4.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify185.0ms (2.5%)

localize32.0ms (0.4%)

series12.0ms (0.2%)

simplify177.0ms (2.4%)

rewrite197.0ms (2.6%)

eval105.0ms (1.4%)

prune22.0ms (0.3%)

simplify181.0ms (2.4%)

localize150.0ms (2%)

series64.0ms (0.8%)

simplify235.0ms (3.1%)

rewrite192.0ms (2.6%)

eval197.0ms (2.6%)

prune75.0ms (1%)

simplify226.0ms (3%)

localize207.0ms (2.8%)

series20.0ms (0.3%)

simplify239.0ms (3.2%)

rewrite223.0ms (3%)

eval187.0ms (2.5%)

prune53.0ms (0.7%)

simplify174.0ms (2.3%)

localize215.0ms (2.9%)

series26.0ms (0.3%)

simplify218.0ms (2.9%)

rewrite231.0ms (3.1%)

eval140.0ms (1.9%)

prune27.0ms (0.4%)

regimes51.0ms (0.7%)

regimes26.0ms (0.4%)

regimes20.0ms (0.3%)

regimes20.0ms (0.3%)

regimes39.0ms (0.5%)

regimes12.0ms (0.2%)

regimes39.0ms (0.5%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes16.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch19.0ms (0.2%)

bsearch0.0ms (0%)

simplify29.0ms (0.4%)

soundness893.0ms (11.9%)

preprocess58.0ms (0.8%)

end0.0ms (0%)

Profiling