Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

6.8MiB live, 6.8MiB 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)

sample1.7s (18.9%)

Memory

3.3MiB live, 2 290.5MiB allocated

Samples

591.0ms	6 022×	0	valid
331.0ms	1 432×	1	valid
313.0ms	802×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 879.0ms

adjust: 282.0ms (32.1% of total)

ival-add: 216.0ms (24.6% of total)

ival-div: 185.0ms (21.1% of total)

ival-sub: 113.0ms (12.9% of total)

ival->: 52.0ms (5.9% of total)

exact: 15.0ms (1.7% of total)

ival-and: 12.0ms (1.4% of total)

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

Bogosity

explain156.0ms (1.8%)

Memory

38.7MiB live, 228.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
80	-	-	`(+.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	80	0

Confusion

	Predicted +	Predicted -
+	80	0
-	0	176

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	80	0	0
-	0	0	176

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	176
1	80

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms	354×	0	valid
22.0ms	66×	2	valid
14.0ms	92×	1	valid

Compiler

Compiled 113 to 34 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-add: 16.0ms (39.5% of total)

adjust: 10.0ms (24.7% of total)

ival-div: 9.0ms (22.2% of total)

ival-sub: 4.0ms (9.9% of total)

exact: 1.0ms (2.5% of total)

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

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

preprocess240.0ms (2.7%)

Memory

-18.9MiB live, 176.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	73
1	69	73
2	143	73
3	231	73
4	391	73
5	824	71
6	1602	69
7	2893	69
8	5038	69
9	7368	69
0	10	13
0	16	13
1	31	13
2	48	13
3	63	13
4	97	13
5	179	13
6	373	13
7	764	13
8	1175	13
9	2235	13
10	3693	13
11	4964	13
12	6022	13
13	6870	13
14	7404	13
15	7716	13
0	8470	12

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.4%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify155.0ms (1.8%)

Memory

2.3MiB live, 93.4MiB 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	1	(/.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	31	48
2	48	48
3	63	48
4	97	48
5	179	48
6	373	48
7	764	48
8	1175	48
9	2235	48
10	3693	48
11	4964	48
12	6022	48
13	6870	48
14	7404	48
15	7716	48
0	8470	47

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (0.8%)

Memory

-3.6MiB live, 51.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0.0	(+.f64 alpha beta)
accuracy	0.0078125	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	18.320874294814494	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

28.0ms	33×	2	valid
25.0ms	177×	0	valid
7.0ms	46×	1	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

adjust: 25.0ms (49.1% of total)

ival-div: 19.0ms (37.3% of total)

ival-add: 5.0ms (9.8% of total)

ival-sub: 2.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB 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	@	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))

simplify183.0ms (2.1%)

Memory

-0.1MiB live, 134.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2178
1	1507	2045
2	5969	1957
0	8060	1860

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

rewrite208.0ms (2.4%)

Memory

1.7MiB live, 145.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	16	44
1	86	44
2	628	44
0	8529	43

Stop Event

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

Counts

6 → 438

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 (.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))))
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(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (pow.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 (-.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.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 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)))
(/.f64 (+.f64 #s(literal 512 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (+.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 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (neg.f64 (-.f64 (+.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 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))
(neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(fma.f64 (/.f64 #s(literal 8 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 8 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(fma.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta))) #s(literal 2 binary64))
(fma.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 2 binary64))
(fma.f64 (/.f64 (.f64 (-.f64 alpha beta) (+.f64 alpha beta)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (.f64 beta beta)) #s(literal 2 binary64))
(fma.f64 (/.f64 (.f64 (-.f64 alpha beta) (+.f64 alpha beta)) (.f64 (-.f64 alpha beta) (+.f64 alpha beta))) (+.f64 alpha beta) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (pow.f64 alpha #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 beta alpha) beta) #s(literal 2 binary64)))) (-.f64 (.f64 alpha alpha) (*.f64 (-.f64 beta alpha) beta)) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 beta alpha) beta) (-.f64 (.f64 (-.f64 beta alpha) beta) (.f64 alpha alpha)) (pow.f64 alpha #s(literal 4 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (-.f64 (pow.f64 alpha #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 beta alpha) beta) #s(literal 2 binary64)))) (-.f64 (.f64 alpha alpha) (.f64 (-.f64 beta alpha) beta)) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) #s(literal 2 binary64)))
(fma.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 beta alpha) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 beta alpha) beta) (-.f64 (.f64 (-.f64 beta alpha) beta) (.f64 alpha alpha)) (pow.f64 alpha #s(literal 4 binary64))) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (+.f64 alpha beta) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 alpha beta) (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))))) (/.f64 (-.f64 beta alpha) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)) (neg.f64 (+.f64 alpha beta)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(fma.f64 (pow.f64 alpha #s(literal 3/2 binary64)) (/.f64 (pow.f64 alpha #s(literal 3/2 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha)) (/.f64 (+.f64 alpha beta) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) #s(literal 2 binary64))
(fma.f64 (.f64 alpha alpha) (/.f64 alpha (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(fma.f64 (+.f64 alpha beta) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (-.f64 beta alpha)) #s(literal 2 binary64))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 alpha beta) (-.f64 alpha beta)) #s(literal 2 binary64))
(fma.f64 alpha (/.f64 (.f64 alpha alpha) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 2 binary64) (.f64 alpha (/.f64 alpha (-.f64 alpha beta)))) (.f64 beta (/.f64 beta (-.f64 alpha 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 (-.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (-.f64 alpha beta) #s(literal 2 binary64))))
(-.f64 (.f64 alpha (/.f64 alpha (-.f64 alpha beta))) (-.f64 (.f64 beta (/.f64 beta (-.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 #s(literal 2 binary64) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha)))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))))
(+.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (.f64 alpha alpha))))
(+.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64))))
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)
(+.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (.f64 alpha alpha))) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(+.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 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 (+.f64 #s(literal 2 binary64) beta))
(+.f64 beta (+.f64 #s(literal 2 binary64) alpha))

eval127.0ms (1.5%)

Memory: -37.1MiB live, 107.8MiB allocated
Compiler: Compiled 19 030 to 2 499 computations (86.9% saved)

prune16.0ms (0.2%)

Memory

34.5MiB live, 34.6MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	508	13	521
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	509	13	522

Accuracy

100.0%

Counts

522 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.3%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (/.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
▶	71.4%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	71.0%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	51.1%	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
	29.3%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 alpha)) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (+.f64 #s(literal 2 binary64) beta)) beta) (neg.f64 alpha))) #s(literal 2 binary64))
	31.3%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) alpha)) alpha)) #s(literal 2 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) alpha)) alpha)) #s(literal 2 binary64))
▶	68.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	29.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
▶	31.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
	32.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
▶	30.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
	47.3%	#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)))
▶	36.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 752 to 466 computations (38% saved)

simplify165.0ms (1.9%)

Memory

8.6MiB live, 100.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	1	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))
cost-diff	1	(fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha)))
cost-diff	1	(/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))
cost-diff	5	(-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))
cost-diff	0	(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)))
cost-diff	0	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
cost-diff	4	(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))
cost-diff	0	(+.f64 #s(literal 2 binary64) beta)
cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
cost-diff	0	(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #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 #s(literal 2 binary64) beta)) #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 #s(literal 2 binary64) (+.f64 alpha beta))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	0	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	475
0	74	475
1	146	441
2	327	437
3	1140	423
4	7715	422
0	8333	411

Stop Event

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

Calls

Call 1

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

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

localize238.0ms (2.7%)

Memory

5.7MiB live, 198.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	1.0045844999031956	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))
accuracy	1.6821959799001172	(/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))
accuracy	8.14837351073638	(-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))
accuracy	43.108954316389706	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
accuracy	0.015625	(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta))
accuracy	1.4097457677378626	(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha)
accuracy	1.9560680304296343	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)
accuracy	43.79380856213388	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
accuracy	0.0	(+.f64 #s(literal 2 binary64) beta)
accuracy	0.00390625	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
accuracy	0.01171875	(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	19.8758304813824	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	40.72301838666515	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0.0	(+.f64 alpha beta)
accuracy	0.0	(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
accuracy	0.0078125	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	18.317695803194916	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

88.0ms	177×	0	valid
29.0ms	33×	2	valid
29.0ms	46×	1	valid

Compiler

Compiled 432 to 43 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-sub: 29.0ms (29.3% of total)

ival-div: 19.0ms (19.2% of total)

adjust: 17.0ms (17.2% of total)

ival-mult: 15.0ms (15.2% of total)

ival-add: 14.0ms (14.2% of total)

ival-pow2: 3.0ms (3% of total)

ival-neg: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

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

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

series60.0ms (0.7%)

Memory

-2.6MiB live, 48.6MiB allocated

Counts

21 → 208

Calls

Call 1

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

Outputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(/ 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))
(+ 2 beta)
(+ 2 (+ alpha beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) (pow alpha 2))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) alpha)
(* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))
(/ (- (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) alpha)
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))))) (pow alpha 3))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))))) (pow alpha 2))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ 2 (* 2 beta)))) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))))) (pow alpha 2))
(+ alpha beta)
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
-1
(- (/ 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 (+ (* 2 (/ 1 alpha)) (/ beta 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 (+ 2 (* 2 beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)
(* 1/2 (+ 2 (* 2 beta)))
(+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta))))
(* (+ 2 beta) (+ 2 (* 2 beta)))
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))) alpha)
(* -1/2 (+ 2 (* 2 beta)))
(+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))
(+ (* -1/2 (+ 2 (* 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(* alpha (+ 1 (/ beta alpha)))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- (* -1 (/ (- (* -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 (/ (+ 2 beta) alpha)) 1)))
(* -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 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta))))
(* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(* -1 (/ 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)
(* 1/2 (- 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
(- (* 4 (/ 1 alpha)) 2)
(- (+ (* 4 (/ 1 alpha)) (* beta (- (* 6 (/ 1 alpha)) 2))) 2)
(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2)
(* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(+ (* -1/2 (* beta (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))
(+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* -1/2 (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))))
(* -1/2 (- (* 4 (/ 1 alpha)) 2))
(+ (* -1/2 (* beta (- (* 6 (/ 1 alpha)) 2))) (* -1/2 (- (* 4 (/ 1 alpha)) 2)))
(+ (* -1/2 (- (* 4 (/ 1 alpha)) 2)) (* beta (+ (* -1 (/ beta alpha)) (* -1/2 (- (* 6 (/ 1 alpha)) 2)))))
(- 4 (* 8 (/ 1 alpha)))
(- (+ 4 (* beta (- 6 (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha)))
(- (+ 4 (* beta (- (+ 6 (* beta (- 2 (* 10 (/ 1 alpha))))) (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha)))
(- (+ 4 (* beta (- (+ 6 (* beta (- (+ 2 (* -2 (/ beta alpha))) (* 10 (/ 1 alpha))))) (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha)))
(* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha))
(+ (* -1 (* beta (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)))) (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)))
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* -1/2 (/ (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2))))) alpha)))))
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* beta (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))))))
(- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) 1))) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) 1))) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))))) 1))) 1)
(* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha))
(+ (* 1/2 (* beta (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)))
(+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))))))
(+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (+ (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2))))))))))
(/ 4 alpha)
(+ (* 6 (/ beta alpha)) (* 4 (/ 1 alpha)))
(+ (* beta (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
4
(+ 4 (* 6 beta))
(+ 4 (* beta (+ 6 (* 2 beta))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(- (+ 1 (* -1 (/ 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 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(- 1 (/ 1 beta))
(- (+ 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 (+ 1 (* 2 (/ 1 beta))))
(* 2 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta))))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (/ 1 (pow alpha 2))))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 alpha)) 2) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 alpha)) 2) beta))) (/ 1 alpha)))
(* -2 (/ (pow beta 3) alpha))
(* (pow beta 3) (- (* 2 (/ 1 beta)) (+ (* 2 (/ 1 alpha)) (/ 10 (* alpha beta)))))
(* (pow beta 3) (- (+ (* 2 (/ 1 beta)) (/ 6 (pow beta 2))) (+ (* 2 (/ 1 alpha)) (+ (* 16 (/ 1 (* alpha (pow beta 2)))) (/ 10 (* alpha beta))))))
(* (pow beta 3) (- (+ (* 2 (/ 1 beta)) (+ (* 4 (/ 1 (pow beta 3))) (/ 6 (pow beta 2)))) (+ (* 2 (/ 1 alpha)) (+ (* 16 (/ 1 (* alpha (pow beta 2)))) (+ (/ 8 (* alpha (pow beta 3))) (/ 10 (* alpha beta)))))))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 3))) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))))
(* -1 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (/ 1 (pow alpha 2))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (/ 1 (pow alpha 2))))
(* beta (+ 1 (/ alpha beta)))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta)))))
(* 2 (pow beta 2))
(* (pow beta 2) (+ 2 (* 6 (/ 1 beta))))
(* (pow beta 2) (+ 2 (+ (* 6 (/ 1 beta)) (/ 4 (pow beta 2)))))
(+ 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 (- (* -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 (/ (+ 2 alpha) beta)) 1)))
(+ 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)))
(* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* 1/2 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- 2 (* 6 (/ 1 alpha)))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) 2) beta))) beta)) (/ 1 alpha)))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 16 (/ 1 alpha)) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (- 4 (* 8 (/ 1 alpha))) beta)) (* 16 (/ 1 alpha))) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha beta))) (/ 1 (* alpha beta)))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (* alpha beta)))) (/ 1 (* alpha beta))) beta)) (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (* 1/2 (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	alpha	@	-inf	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha)) (+ alpha beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2))
5.0ms	alpha	@	0	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha)) (+ alpha beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2))
5.0ms	alpha	@	inf	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha)) (+ alpha beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2))
4.0ms	beta	@	inf	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha)) (+ alpha beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2))
4.0ms	beta	@	0	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha)) (+ alpha beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2))

simplify227.0ms (2.6%)

Memory

2.0MiB live, 188.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	940	4962
1	3287	4754
0	8361	4514

Stop Event

1×	iter limit
1×	node limit

Counts

208 → 206

Calls

Call 1

Inputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(/ 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))
(+ 2 beta)
(+ 2 (+ alpha beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) (pow alpha 2))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) alpha)
(* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))
(/ (- (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) alpha)
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))))) (pow alpha 3))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))))) (pow alpha 2))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ 2 (* 2 beta)))) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))))) (pow alpha 2))
(+ alpha beta)
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
-1
(- (/ 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 (+ (* 2 (/ 1 alpha)) (/ beta 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 (+ 2 (* 2 beta)))
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta)))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)
(* 1/2 (+ 2 (* 2 beta)))
(+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta))))
(* (+ 2 beta) (+ 2 (* 2 beta)))
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta))))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))) alpha)
(* -1/2 (+ 2 (* 2 beta)))
(+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))
(+ (* -1/2 (+ 2 (* 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(* alpha (+ 1 (/ beta alpha)))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- (* -1 (/ (- (* -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 (/ (+ 2 beta) alpha)) 1)))
(* -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 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta))))
(* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(* -1 (/ 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)
(* 1/2 (- 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
(- (* 4 (/ 1 alpha)) 2)
(- (+ (* 4 (/ 1 alpha)) (* beta (- (* 6 (/ 1 alpha)) 2))) 2)
(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2)
(* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(+ (* -1/2 (* beta (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))
(+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* -1/2 (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))))
(* -1/2 (- (* 4 (/ 1 alpha)) 2))
(+ (* -1/2 (* beta (- (* 6 (/ 1 alpha)) 2))) (* -1/2 (- (* 4 (/ 1 alpha)) 2)))
(+ (* -1/2 (- (* 4 (/ 1 alpha)) 2)) (* beta (+ (* -1 (/ beta alpha)) (* -1/2 (- (* 6 (/ 1 alpha)) 2)))))
(- 4 (* 8 (/ 1 alpha)))
(- (+ 4 (* beta (- 6 (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha)))
(- (+ 4 (* beta (- (+ 6 (* beta (- 2 (* 10 (/ 1 alpha))))) (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha)))
(- (+ 4 (* beta (- (+ 6 (* beta (- (+ 2 (* -2 (/ beta alpha))) (* 10 (/ 1 alpha))))) (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha)))
(* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha))
(+ (* -1 (* beta (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)))) (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)))
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* -1/2 (/ (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2))))) alpha)))))
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* beta (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))))))
(- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) 1))) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) 1))) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))))) 1))) 1)
(* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha))
(+ (* 1/2 (* beta (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)))
(+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))))))
(+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (+ (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2))))))))))
(/ 4 alpha)
(+ (* 6 (/ beta alpha)) (* 4 (/ 1 alpha)))
(+ (* beta (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
4
(+ 4 (* 6 beta))
(+ 4 (* beta (+ 6 (* 2 beta))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(- (+ 1 (* -1 (/ 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 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(- 1 (/ 1 beta))
(- (+ 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 (+ 1 (* 2 (/ 1 beta))))
(* 2 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta))))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (/ 1 (pow alpha 2))))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 alpha)) 2) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 alpha)) 2) beta))) (/ 1 alpha)))
(* -2 (/ (pow beta 3) alpha))
(* (pow beta 3) (- (* 2 (/ 1 beta)) (+ (* 2 (/ 1 alpha)) (/ 10 (* alpha beta)))))
(* (pow beta 3) (- (+ (* 2 (/ 1 beta)) (/ 6 (pow beta 2))) (+ (* 2 (/ 1 alpha)) (+ (* 16 (/ 1 (* alpha (pow beta 2)))) (/ 10 (* alpha beta))))))
(* (pow beta 3) (- (+ (* 2 (/ 1 beta)) (+ (* 4 (/ 1 (pow beta 3))) (/ 6 (pow beta 2)))) (+ (* 2 (/ 1 alpha)) (+ (* 16 (/ 1 (* alpha (pow beta 2)))) (+ (/ 8 (* alpha (pow beta 3))) (/ 10 (* alpha beta)))))))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 3))) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))))
(* -1 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (/ 1 (pow alpha 2))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (/ 1 (pow alpha 2))))
(* beta (+ 1 (/ alpha beta)))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta)))))
(* 2 (pow beta 2))
(* (pow beta 2) (+ 2 (* 6 (/ 1 beta))))
(* (pow beta 2) (+ 2 (+ (* 6 (/ 1 beta)) (/ 4 (pow beta 2)))))
(+ 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 (- (* -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 (/ (+ 2 alpha) beta)) 1)))
(+ 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)))
(* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* 1/2 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- 2 (* 6 (/ 1 alpha)))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) 2) beta))) beta)) (/ 1 alpha)))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 16 (/ 1 alpha)) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (- 4 (* 8 (/ 1 alpha))) beta)) (* 16 (/ 1 alpha))) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha beta))) (/ 1 (* alpha beta)))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (* alpha beta)))) (/ 1 (* alpha beta))) beta)) (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (* 1/2 (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))

Outputs
(+ 1/2 (* 1/2 (/ 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 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.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 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (+.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))) (.f64 alpha (/.f64 (+.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))) (+.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 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (+.f64 (/.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 3 binary64)))) alpha) (/.f64 (+.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))) (+.f64 #s(literal 2 binary64) beta)))) alpha (*.f64 (+.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))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 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 (neg.f64 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))) (/.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 (*.f64 alpha (/.f64 (+.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))) (+.f64 #s(literal 2 binary64) beta))) (+.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 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 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.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 3 binary64)))) (/.f64 (+.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))) (+.f64 #s(literal 2 binary64) beta))) 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 beta (+.f64 #s(literal 2 binary64) beta)))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(* 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 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.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 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (+.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))) (.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))) 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 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (+.f64 (/.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 3 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)))))) alpha (*.f64 (+.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))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) alpha (+.f64 #s(literal 2 binary64) beta))) alpha)
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) (pow alpha 2))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)))) (.f64 alpha alpha))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
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(*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) alpha) #s(literal 6 binary64)) beta)) (/.f64 #s(literal 10 binary64) alpha)) beta) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha))) (pow.f64 beta #s(literal 3 binary64)))
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (- 4 (* 8 (/ 1 alpha))) beta)) (* 16 (/ 1 alpha))) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) beta) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 16 binary64) alpha) #s(literal 6 binary64))) beta)) (/.f64 #s(literal 10 binary64) alpha)) beta) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha))) (pow.f64 beta #s(literal 3 binary64)))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha beta))) (/ 1 (* alpha beta)))) beta)) (/ 1 (pow alpha 3)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 alpha beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (* alpha beta)))) (/ 1 (* alpha beta))) beta)) (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) alpha) #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (.f64 alpha alpha))) beta) (neg.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha))) (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta)) (neg.f64 beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) beta) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (* 1/2 (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (.f64 alpha alpha))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) beta) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) beta) (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (.f64 alpha alpha))) beta) (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)))) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) #s(literal 1 binary64)))

rewrite279.0ms (3.2%)

Memory

8.7MiB live, 286.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	360
0	74	360
1	337	327
2	2719	327
0	9190	327

Stop Event

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

Counts

21 → 505

Calls

Call 1

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

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

eval303.0ms (3.5%)

Memory: -27.7MiB live, 271.7MiB allocated
Compiler: Compiled 50 212 to 5 752 computations (88.5% saved)

prune65.0ms (0.7%)

Memory

13.0MiB live, 60.3MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	872	15	887
Fresh	6	2	8
Picked	3	2	5
Done	0	0	0
Total	881	19	900

Accuracy

100.0%

Counts

900 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.4%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	49.3%	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
▶	71.0%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	3.8%	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	68.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	29.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
	32.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	26.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha))
▶	26.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 alpha)))
	31.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)))
	15.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)))) (.f64 alpha alpha))))
	41.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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))))
	42.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))))
▶	29.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
▶	46.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	36.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	47.3%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
	30.8%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha)) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)))

Compiler

Compiled 1 117 to 731 computations (34.6% saved)

simplify148.0ms (1.7%)

Memory

-21.1MiB live, 208.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	375
0	76	371
1	134	353
2	278	347
3	937	344
4	5968	344
0	8485	334

Stop Event

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

Calls

Call 1

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

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

localize193.0ms (2.2%)

Memory

36.3MiB live, 370.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha)
accuracy	1.6821959799001172	(/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 alpha))
accuracy	13.715270100349056	#s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	43.108954316389706	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 alpha)))
accuracy	0.0	(+.f64 #s(literal 2 binary64) beta)
accuracy	0.00390625	(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
accuracy	0.0234375	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))
accuracy	19.8758304813824	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) beta)
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
accuracy	19.8758304813824	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
accuracy	41.639782506073395	#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
accuracy	18.139253087460006	#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))
accuracy	19.8758304813824	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
accuracy	0.0	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0.0	(+.f64 alpha beta)
accuracy	0.0234375	(/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	18.56882861740445	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))

Samples

70.0ms	177×	0	valid
59.0ms	46×	1	valid
37.0ms	33×	2	valid

Compiler

Compiled 257 to 49 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-div: 42.0ms (38.9% of total)

adjust: 18.0ms (16.7% of total)

ival-mult: 17.0ms (15.8% of total)

ival-add: 13.0ms (12.1% of total)

ival-sub: 11.0ms (10.2% of total)

ival-pow2: 3.0ms (2.8% of total)

ival-neg: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series17.0ms (0.2%)

Memory

-8.0MiB live, 37.6MiB allocated

Counts

20 → 155

Calls

Call 1

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

Outputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
beta
(+ beta (* -1 alpha))
(/ 1/2 (+ 2 beta))
(+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))
(+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(+ 2 beta)
(+ 2 (+ alpha beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))))) (pow alpha 3))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))))) (pow alpha 2))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ 2 (* 2 beta)))) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))))) (pow alpha 2))
(/ -4 (pow alpha 2))
(/ (- (* 2 alpha) 4) (pow alpha 2))
(/ (- (* alpha (+ 2 (* -1 alpha))) 4) (pow alpha 2))
(+ alpha beta)
(/ -8 (pow alpha 2))
(/ (- (* 4 alpha) 8) (pow alpha 2))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(/ 1/2 alpha)
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta 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)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))) alpha)
(* -1/2 (+ 2 (* 2 beta)))
(+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))
(+ (* -1/2 (+ 2 (* 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
-1
(- (* 2 (/ 1 alpha)) 1)
(- (* 2 (/ 1 alpha)) (+ 1 (/ 4 (pow alpha 2))))
(* alpha (+ 1 (/ beta alpha)))
(/ 4 alpha)
(/ (- 4 (* 8 (/ 1 alpha))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -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 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta))))
(- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1)
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(- beta alpha)
(/ 1/2 (+ 2 alpha))
(+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha))))
(+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(+ (* beta (- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(+ 2 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
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(/ -1 beta)
(/ (- beta 1) beta)
(/ 1 beta)
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
(* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha))
(+ (* -1 (* beta (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)))) (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)))
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* -1/2 (/ (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2))))) alpha)))))
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* beta (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))))))
(- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) 1))) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) 1))) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))))) 1))) 1)
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(/ 1/2 beta)
(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(/ (- 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 (+ 1 (* 2 (/ 1 beta))))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 3))) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))))
(* -1 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3))))))
(* beta (+ 1 (/ 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 (* beta (- (/ alpha beta) 1)))
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 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))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha beta))) (/ 1 (* alpha beta)))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (* alpha beta)))) (/ 1 (* alpha beta))) beta)) (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (* 1/2 (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	inf	((+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ 1 beta)) (/ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) (/ 1/2 (+ 2 beta)) (+ 2 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) (+ alpha beta) (/ (- 4 (/ 8 alpha)) alpha))
3.0ms	beta	@	0	((+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ 1 beta)) (/ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) (/ 1/2 (+ 2 beta)) (+ 2 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) (+ alpha beta) (/ (- 4 (/ 8 alpha)) alpha))
2.0ms	alpha	@	-inf	((+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ 1 beta)) (/ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) (/ 1/2 (+ 2 beta)) (+ 2 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) (+ alpha beta) (/ (- 4 (/ 8 alpha)) alpha))
2.0ms	alpha	@	0	((+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ 1 beta)) (/ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) (/ 1/2 (+ 2 beta)) (+ 2 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) (+ alpha beta) (/ (- 4 (/ 8 alpha)) alpha))
1.0ms	beta	@	-inf	((+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ 1 beta)) (/ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) (/ 1/2 (+ 2 beta)) (+ 2 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) (+ alpha beta) (/ (- 4 (/ 8 alpha)) alpha))

simplify173.0ms (2%)

Memory

-12.9MiB live, 321.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	766	3525
1	2585	3228
0	8813	3099

Stop Event

1×	iter limit
1×	node limit

Counts

155 → 153

Calls

Call 1

Inputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
beta
(+ beta (* -1 alpha))
(/ 1/2 (+ 2 beta))
(+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))
(+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(+ 2 beta)
(+ 2 (+ alpha beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))))) (pow alpha 3))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))))) (pow alpha 2))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ 2 (* 2 beta)))) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))))) (pow alpha 2))
(/ -4 (pow alpha 2))
(/ (- (* 2 alpha) 4) (pow alpha 2))
(/ (- (* alpha (+ 2 (* -1 alpha))) 4) (pow alpha 2))
(+ alpha beta)
(/ -8 (pow alpha 2))
(/ (- (* 4 alpha) 8) (pow alpha 2))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(/ 1/2 alpha)
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta 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)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))) alpha)
(* -1/2 (+ 2 (* 2 beta)))
(+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))
(+ (* -1/2 (+ 2 (* 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
-1
(- (* 2 (/ 1 alpha)) 1)
(- (* 2 (/ 1 alpha)) (+ 1 (/ 4 (pow alpha 2))))
(* alpha (+ 1 (/ beta alpha)))
(/ 4 alpha)
(/ (- 4 (* 8 (/ 1 alpha))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -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 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta))))
(- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1)
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(- beta alpha)
(/ 1/2 (+ 2 alpha))
(+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha))))
(+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(+ (* beta (- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(+ 2 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
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(/ -1 beta)
(/ (- beta 1) beta)
(/ 1 beta)
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
(* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha))
(+ (* -1 (* beta (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)))) (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)))
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* -1/2 (/ (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2))))) alpha)))))
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* beta (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))))))
(- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) 1))) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) 1))) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))))) 1))) 1)
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(/ 1/2 beta)
(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(/ (- 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 (+ 1 (* 2 (/ 1 beta))))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 3))) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))))
(* -1 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3))))))
(* beta (+ 1 (/ 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 (* beta (- (/ alpha beta) 1)))
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 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))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha beta))) (/ 1 (* alpha beta)))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (* alpha beta)))) (/ 1 (* alpha beta))) beta)) (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (* 1/2 (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))

Outputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.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 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(fma.f64 (-.f64 (/.f64 (*.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) (+.f64 #s(literal 2 binary64) beta)) (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 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.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 3 binary64)))) (/.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))) (+.f64 #s(literal 2 binary64) beta))) alpha (.f64 (+.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))) #s(literal -1/2 binary64))) alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(/ 1/2 (+ 2 beta))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))
(+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))
(fma.f64 (/.f64 alpha (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 (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(fma.f64 (-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.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 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (+.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))) (.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))) alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (+.f64 (/.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 3 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)))))) alpha (*.f64 (+.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))) #s(literal -1/2 binary64))) alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 alpha #s(literal 3 binary64)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))
(/.f64 (fma.f64 (.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -1 binary64) beta) (.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 alpha #s(literal 3 binary64)))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))))) (pow alpha 3))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)))) alpha)) (pow.f64 alpha #s(literal 3 binary64)))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
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(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))))) (pow alpha 2))
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(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1/2 binary64)) (neg.f64 beta))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 beta)) 1) beta)) 1/2) beta))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) (neg.f64 beta)) #s(literal 1/2 binary64)) (neg.f64 beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1) beta)) 1/2) beta))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal 2 binary64)) (neg.f64 beta)) #s(literal 1 binary64)) (neg.f64 beta)) #s(literal 1/2 binary64)) (neg.f64 beta))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta) (/.f64 #s(literal 1/2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha beta))) (/ 1 (* alpha beta)))) beta)) (/ 1 (pow alpha 3)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 alpha beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (* alpha beta)))) (/ 1 (* alpha beta))) beta)) (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) alpha) #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (.f64 alpha alpha))) beta) (/.f64 #s(literal 1/2 binary64) alpha) (neg.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha))) (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta)) (neg.f64 beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) beta) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (* 1/2 (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (.f64 alpha alpha))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) beta) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) #s(literal 1 binary64)))

rewrite184.0ms (2.1%)

Memory

8.8MiB live, 283.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	341
0	76	337
1	346	316
2	2615	316
0	9179	310

Stop Event

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

Counts

20 → 183

Calls

Call 1

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

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

eval71.0ms (0.8%)

Memory: -18.8MiB live, 141.3MiB allocated
Compiler: Compiled 13 904 to 1 699 computations (87.8% saved)

prune18.0ms (0.2%)

Memory

2.0MiB live, 49.5MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	327	6	333
Fresh	3	9	12
Picked	2	3	5
Done	0	2	2
Total	332	20	352

Accuracy

100.0%

Counts

352 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.4%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	49.3%	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
	44.6%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
	3.8%	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	68.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	41.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (+ 2 beta)) (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
▶	42.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (+ 2 beta)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
▶	29.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
	32.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	14.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 4 binary64)) (.f64 alpha alpha)))) (neg.f64 alpha)))
	26.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)))) (neg.f64 alpha)))
▶	26.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))) (neg.f64 alpha)))
	31.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)))
	15.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)))) (.f64 alpha alpha))))
▶	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))))
✓	29.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
✓	46.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	36.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	47.3%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
	30.8%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha)) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)))

Compiler

Compiled 1 255 to 805 computations (35.9% saved)

simplify180.0ms (2.1%)

Memory

26.1MiB live, 282.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
cost-diff	0	#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))))
cost-diff	0	(+.f64 #s(literal 1 binary64) alpha)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
cost-diff	1	(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))) (neg.f64 alpha))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))) (neg.f64 alpha)))
cost-diff	0	#s(approx (/ 1/2 (+ 2 beta)) #s(literal 1/4 binary64))
cost-diff	0	(fma.f64 beta #s(approx (/ 1/2 (+ 2 beta)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (+ 2 beta)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha))
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64)))
cost-diff	0	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	438
0	92	438
1	178	420
2	461	412
3	1868	409
0	8710	397

Stop Event

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

Calls

Call 1

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

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

localize518.0ms (5.9%)

Memory

80.4MiB live, 543.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))
accuracy	0.09375	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta)
accuracy	19.8758304813824	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))))
accuracy	41.094787553449834	#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta)))
accuracy	0.0	(+.f64 #s(literal 1 binary64) alpha)
accuracy	0.00390625	(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
accuracy	0.0078125	(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))
accuracy	45.37590613142552	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
accuracy	1.6821959799001172	(/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))) (neg.f64 alpha))
accuracy	13.715270100349056	#s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64)))
accuracy	38.88679964334733	#s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))
accuracy	43.108954316389706	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))) (neg.f64 alpha)))
accuracy	0.00390625	(fma.f64 beta #s(approx (/ 1/2 (+ 2 beta)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
accuracy	19.8758304813824	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (+ 2 beta)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
accuracy	21.040739148598025	#s(approx (/ 1/2 (+ 2 beta)) #s(literal 1/4 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha))
accuracy	0.01171875	(pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))
accuracy	4.6591929563285515	(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64)))
accuracy	30.72883150989953	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))

Samples

178.0ms	177×	0	valid
42.0ms	33×	2	valid
41.0ms	46×	1	valid

Compiler

Compiled 306 to 64 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-add: 69.0ms (36.3% of total)

ival-div: 44.0ms (23.1% of total)

adjust: 26.0ms (13.7% of total)

ival-mult: 26.0ms (13.7% of total)

ival-sub: 13.0ms (6.8% of total)

ival-pow: 5.0ms (2.6% of total)

ival-pow2: 3.0ms (1.6% of total)

ival-neg: 2.0ms (1.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series938.0ms (10.7%)

Memory

-135.5MiB live, 114.4MiB allocated

Counts

21 → 188

Calls

Call 1

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

Outputs
(+ 1/2 (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3)))))
(+ 1/2 (+ (* 1/2 (* alpha (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))) (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3))))))
(+ 1/2 (+ (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))))))) (* 1/2 (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))))))
(+ 1/2 (+ (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3)))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (+ (/ (* beta (+ 4 (* beta (- beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (+ 8 (pow beta 3)))))))) (* 1/2 (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))))))))))))
(* 1/2 (/ beta (+ 8 (pow beta 3))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (* 1/2 (/ beta (+ 8 (pow beta 3)))))
(+ (* 1/2 (/ beta (+ 8 (pow beta 3)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (* -1/2 (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))))))
(+ (* 1/2 (/ beta (+ 8 (pow beta 3)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ (* (+ beta (* 2 beta)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (pow beta 2)) (pow beta 2))) (+ 8 (pow beta 3)))) (/ beta (pow (+ 8 (pow beta 3)) 2)))))) (* -1/2 (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2)))))))))
(* 1/2 beta)
(+ (* -1/2 alpha) (* 1/2 beta))
beta
(+ beta (* -1 alpha))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))))) (pow alpha 3))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))))) (pow alpha 2))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ 2 (* 2 beta)))) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))))) (pow alpha 2))
(/ -4 (pow alpha 2))
(/ (- (* 2 alpha) 4) (pow alpha 2))
(/ (- (* alpha (+ 2 (* -1 alpha))) 4) (pow alpha 2))
(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(/ 1 beta)
(+ (/ 1 beta) (/ alpha beta))
1
(+ 1 alpha)
(pow beta 3)
(+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3))
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3))
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3))
(* 1/2 (/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha))
(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (* 1/2 (/ (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))) alpha)
(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ 4 (* beta (- beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (+ 4 (* beta (- beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ 4 (* beta (- beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))))) alpha)
(/ -1/2 (pow alpha 2))
(/ (- (* 1/2 (/ (- beta (* -1 (+ beta (* 2 beta)))) alpha)) 1/2) (pow alpha 2))
(/ (- (+ (* -1/2 (/ (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ beta (* 2 beta)))) alpha))) 1/2) (pow alpha 2))
(/ (- (+ (* -1/2 (/ (+ (* -1 (* (+ beta (* 2 beta)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))))) (+ (* -1 (+ 8 (pow beta 3))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- beta (* -1 (+ beta (* 2 beta))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ beta (* 2 beta)))) alpha)))) 1/2) (pow alpha 2))
(* -1/2 alpha)
(* alpha (- (* 1/2 (/ beta alpha)) 1/2))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))) alpha)
(* -1/2 (+ 2 (* 2 beta)))
(+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))
(+ (* -1/2 (+ 2 (* 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
-1
(- (* 2 (/ 1 alpha)) 1)
(- (* 2 (/ 1 alpha)) (+ 1 (/ 4 (pow alpha 2))))
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
alpha
(* alpha (+ 1 (/ 1 alpha)))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (/ beta alpha))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3))))))))
(* -1/2 (/ (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha)) (* 1/2 (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha)) (* 1/2 (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (pow beta 3)))))) (* 1/2 (/ (+ (* -1 (* (+ 8 (pow beta 3)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (pow beta 3))))))) (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))))) alpha))) alpha)) (* 1/2 (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) alpha))
(/ (- (* -1/2 (/ (- (* -1 beta) (+ beta (* 2 beta))) alpha)) 1/2) (pow alpha 2))
(/ (- (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ beta (* 2 beta)))) (* 1/2 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2)))) alpha))) alpha)) 1/2) (pow alpha 2))
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) (* 1/2 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 beta) (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) (pow beta 3)))) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ beta (* 2 beta))))) alpha)) 1/2) (pow alpha 2))
(* -1 (* alpha (+ 1/2 (* -1/2 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ 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 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta))))
(- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1)
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (pow beta 3) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1)))
(+ 1/2 (* -1/2 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (+ 8 (pow alpha 3)))))
(+ 1/2 (+ (* -1/2 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (+ 8 (pow alpha 3)))) (* 1/2 (* beta (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (* alpha (- alpha 2)) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))))))
(+ 1/2 (+ (* -1/2 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (+ 8 (pow alpha 3)))) (* beta (+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (* alpha (- alpha 2)) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))))) (* 1/2 (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (* alpha (- alpha 2)) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (+ 8 (pow alpha 3)))) (* beta (+ (* 1/2 (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (* alpha (- alpha 2)) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (+ 8 (pow alpha 3))) (+ (* -1 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (/ (* (+ alpha (* 2 alpha)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (* alpha (- alpha 2)) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (* alpha (- alpha 2)) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (+ 8 (pow alpha 3)))))))) (* 1/2 (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (* alpha (- alpha 2)) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))))))))))
(* -1/2 (/ alpha (+ 8 (pow alpha 3))))
(+ (* -1/2 (/ alpha (+ 8 (pow alpha 3)))) (* 1/2 (* beta (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))))))
(+ (* -1/2 (/ alpha (+ 8 (pow alpha 3)))) (* beta (+ (* -1/2 (* beta (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))) (* 1/2 (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))))))
(+ (* -1/2 (/ alpha (+ 8 (pow alpha 3)))) (* beta (+ (* 1/2 (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (* beta (+ (* -1/2 (* beta (+ (* -1 (/ alpha (pow (+ 8 (pow alpha 3)) 2))) (+ (* -1 (/ (* (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ 8 (pow alpha 3)))) (/ (* (+ alpha (* 2 alpha)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (* -1/2 (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))))))
(- beta alpha)
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1/2
(+ 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)))
(* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha))
(+ (* -1 (* beta (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)))) (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)))
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* -1/2 (/ (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2))))) alpha)))))
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* beta (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))))))
(- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) 1))) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) 1))) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))))) 1))) 1)
(* -1 (/ (+ 1 alpha) beta))
(/ (+ beta (* -1 (+ 1 alpha))) beta)
(/ (+ 1 alpha) beta)
(/ 2 (pow beta 2))
(/ (+ 2 (* -1 beta)) (pow beta 2))
(/ (+ 2 (* beta (- beta 1))) (pow beta 2))
(/ -2 (pow beta 2))
(/ (- beta 2) (pow beta 2))
(+ (* beta (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow alpha 3))
(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (* 2 alpha))) (pow alpha 2)))) (pow alpha 3))
(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (+ beta (* 2 alpha)))) (pow alpha 2)))) (pow alpha 3))
(/ -2 beta)
(/ (- beta 2) beta)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (* 1/2 (/ (- (+ 4 (+ (* -1 (* alpha (- (* 2 alpha) 2))) (* alpha (- alpha 2)))) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))) (pow alpha 2)))) (pow beta 2)))))
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (+ 4 (* alpha (- alpha 2))))) (+ 8 (+ (* (+ alpha (* 2 alpha)) (- (+ 4 (+ (* -1 (* alpha (- (* 2 alpha) 2))) (* alpha (- alpha 2)))) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))) (pow alpha 2))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha))) (pow alpha 3))))) (pow beta 3))) (* 1/2 (/ (- (+ 4 (+ (* -1 (* alpha (- (* 2 alpha) 2))) (* alpha (- alpha 2)))) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))) (pow alpha 2)))) (pow beta 2))))))
(/ 1/2 (pow beta 2))
(/ (+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ alpha (* 2 alpha))) beta))) (pow beta 2))
(/ (+ 1/2 (+ (* -1/2 (/ (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ alpha (* 2 alpha))) beta)))) (pow beta 2))
(/ (+ 1/2 (+ (* -1/2 (/ (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 3)))) (pow beta 3))) (+ (* -1/2 (/ (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ alpha (* 2 alpha))) beta))))) (pow beta 2))
(* beta (+ 1/2 (* -1/2 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(+ 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)
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 3))) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))))
(* -1 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3))))))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(/ (- 1 (* 2 (/ 1 beta))) beta)
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3))))))))
(- 1 (* 2 (/ 1 beta)))
(+ 1 (* 1/2 (/ (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha)))) (* 1/2 (/ (- (* -1 (+ 4 (+ (* alpha (+ (* -1 alpha) (* -1 (- alpha 2)))) (* alpha (- alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (+ 4 (+ (* alpha (+ (* -1 alpha) (* -1 (- alpha 2)))) (* alpha (- alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) (* 1/2 (/ (- (* -1 (* alpha (+ 4 (* alpha (- alpha 2))))) (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 4 (+ (* alpha (+ (* -1 alpha) (* -1 (- alpha 2)))) (* alpha (- alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))))) (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) (pow alpha 3))))) beta))) beta)) (* -1/2 (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) beta)))
(/ (+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1/2 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* (+ alpha (* 2 alpha)) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) (pow alpha 3)))) beta)) (* 1/2 (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) beta)) (* -1/2 (- (* -1 alpha) (+ alpha (* 2 alpha))))) beta))) (pow beta 2))
(* -1 (* beta (- (* 1/2 (/ alpha beta)) 1/2)))
(* -1 (* beta (- (/ alpha beta) 1)))
(+ 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))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha beta))) (/ 1 (* alpha beta)))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (* alpha beta)))) (/ 1 (* alpha beta))) beta)) (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (* 1/2 (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (/ (- (* 2 (/ 1 beta)) 1) beta))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (* 2 alpha)) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (pow alpha 3) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
892.0ms	alpha	@	inf	((+ (* (/ (* 1/2 (- beta alpha)) (+ (pow (+ alpha beta) 3) 8)) (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4)) 1/2) (/ (* 1/2 (- beta alpha)) (+ (pow (+ alpha beta) 3) 8)) (* 1/2 (- beta alpha)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) (/ 1/2 (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) (+ (* -1 (/ (+ 1 alpha) beta)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ (- 1 (/ 2 beta)) beta)) (/ (- 1 (/ 2 beta)) beta) (pow (+ alpha beta) 3) (- 1 (/ 2 beta)))
15.0ms	beta	@	-inf	((+ (* (/ (* 1/2 (- beta alpha)) (+ (pow (+ alpha beta) 3) 8)) (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4)) 1/2) (/ (* 1/2 (- beta alpha)) (+ (pow (+ alpha beta) 3) 8)) (* 1/2 (- beta alpha)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) (/ 1/2 (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) (+ (* -1 (/ (+ 1 alpha) beta)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ (- 1 (/ 2 beta)) beta)) (/ (- 1 (/ 2 beta)) beta) (pow (+ alpha beta) 3) (- 1 (/ 2 beta)))
10.0ms	alpha	@	0	((+ (* (/ (* 1/2 (- beta alpha)) (+ (pow (+ alpha beta) 3) 8)) (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4)) 1/2) (/ (* 1/2 (- beta alpha)) (+ (pow (+ alpha beta) 3) 8)) (* 1/2 (- beta alpha)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) (/ 1/2 (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) (+ (* -1 (/ (+ 1 alpha) beta)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ (- 1 (/ 2 beta)) beta)) (/ (- 1 (/ 2 beta)) beta) (pow (+ alpha beta) 3) (- 1 (/ 2 beta)))
6.0ms	beta	@	0	((+ (* (/ (* 1/2 (- beta alpha)) (+ (pow (+ alpha beta) 3) 8)) (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4)) 1/2) (/ (* 1/2 (- beta alpha)) (+ (pow (+ alpha beta) 3) 8)) (* 1/2 (- beta alpha)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) (/ 1/2 (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) (+ (* -1 (/ (+ 1 alpha) beta)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ (- 1 (/ 2 beta)) beta)) (/ (- 1 (/ 2 beta)) beta) (pow (+ alpha beta) 3) (- 1 (/ 2 beta)))
5.0ms	alpha	@	-inf	((+ (* (/ (* 1/2 (- beta alpha)) (+ (pow (+ alpha beta) 3) 8)) (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4)) 1/2) (/ (* 1/2 (- beta alpha)) (+ (pow (+ alpha beta) 3) 8)) (* 1/2 (- beta alpha)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (+ 2 beta))) 1/2) (/ 1/2 (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) (+ (* -1 (/ (+ 1 alpha) beta)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (- 1 (/ (- 1 (/ 2 beta)) beta)) (/ (- 1 (/ 2 beta)) beta) (pow (+ alpha beta) 3) (- 1 (/ 2 beta)))

simplify188.0ms (2.2%)

Memory

33.0MiB live, 263.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1150	7217
1	4176	6608
0	8371	6221

Stop Event

1×	iter limit
1×	node limit

Counts

188 → 186

Calls

Call 1

Inputs
(+ 1/2 (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3)))))
(+ 1/2 (+ (* 1/2 (* alpha (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))) (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3))))))
(+ 1/2 (+ (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))))))) (* 1/2 (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))))))
(+ 1/2 (+ (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3)))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (+ (/ (* beta (+ 4 (* beta (- beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (+ 8 (pow beta 3)))))))) (* 1/2 (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))))))))))))
(* 1/2 (/ beta (+ 8 (pow beta 3))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (* 1/2 (/ beta (+ 8 (pow beta 3)))))
(+ (* 1/2 (/ beta (+ 8 (pow beta 3)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (* -1/2 (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))))))
(+ (* 1/2 (/ beta (+ 8 (pow beta 3)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ (* (+ beta (* 2 beta)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (pow beta 2)) (pow beta 2))) (+ 8 (pow beta 3)))) (/ beta (pow (+ 8 (pow beta 3)) 2)))))) (* -1/2 (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2)))))))))
(* 1/2 beta)
(+ (* -1/2 alpha) (* 1/2 beta))
beta
(+ beta (* -1 alpha))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))))) (pow alpha 3))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))))) (pow alpha 2))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ 2 (* 2 beta)))) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))))) (pow alpha 2))
(/ -4 (pow alpha 2))
(/ (- (* 2 alpha) 4) (pow alpha 2))
(/ (- (* alpha (+ 2 (* -1 alpha))) 4) (pow alpha 2))
(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(/ 1 beta)
(+ (/ 1 beta) (/ alpha beta))
1
(+ 1 alpha)
(pow beta 3)
(+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3))
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3))
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3))
(* 1/2 (/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha))
(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (* 1/2 (/ (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))) alpha)
(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ 4 (* beta (- beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (+ 4 (* beta (- beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ 4 (* beta (- beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))))) alpha)
(/ -1/2 (pow alpha 2))
(/ (- (* 1/2 (/ (- beta (* -1 (+ beta (* 2 beta)))) alpha)) 1/2) (pow alpha 2))
(/ (- (+ (* -1/2 (/ (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ beta (* 2 beta)))) alpha))) 1/2) (pow alpha 2))
(/ (- (+ (* -1/2 (/ (+ (* -1 (* (+ beta (* 2 beta)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))))) (+ (* -1 (+ 8 (pow beta 3))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- beta (* -1 (+ beta (* 2 beta))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ beta (* 2 beta)))) alpha)))) 1/2) (pow alpha 2))
(* -1/2 alpha)
(* alpha (- (* 1/2 (/ beta alpha)) 1/2))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))) alpha)
(* -1/2 (+ 2 (* 2 beta)))
(+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))
(+ (* -1/2 (+ 2 (* 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
-1
(- (* 2 (/ 1 alpha)) 1)
(- (* 2 (/ 1 alpha)) (+ 1 (/ 4 (pow alpha 2))))
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
alpha
(* alpha (+ 1 (/ 1 alpha)))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (/ beta alpha))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3))))))))
(* -1/2 (/ (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha)) (* 1/2 (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha)) (* 1/2 (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (pow beta 3)))))) (* 1/2 (/ (+ (* -1 (* (+ 8 (pow beta 3)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (pow beta 3))))))) (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))))) alpha))) alpha)) (* 1/2 (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) alpha))
(/ (- (* -1/2 (/ (- (* -1 beta) (+ beta (* 2 beta))) alpha)) 1/2) (pow alpha 2))
(/ (- (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ beta (* 2 beta)))) (* 1/2 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2)))) alpha))) alpha)) 1/2) (pow alpha 2))
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) (* 1/2 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 beta) (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) (pow beta 3)))) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ beta (* 2 beta))))) alpha)) 1/2) (pow alpha 2))
(* -1 (* alpha (+ 1/2 (* -1/2 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ 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 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta))))
(- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1)
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (pow beta 3) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1)))
(+ 1/2 (* -1/2 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (+ 8 (pow alpha 3)))))
(+ 1/2 (+ (* -1/2 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (+ 8 (pow alpha 3)))) (* 1/2 (* beta (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (* alpha (- alpha 2)) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))))))
(+ 1/2 (+ (* -1/2 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (+ 8 (pow alpha 3)))) (* beta (+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (* alpha (- alpha 2)) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))))) (* 1/2 (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (* alpha (- alpha 2)) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (+ 8 (pow alpha 3)))) (* beta (+ (* 1/2 (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (* alpha (- alpha 2)) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (+ 8 (pow alpha 3))) (+ (* -1 (/ (* alpha (+ 4 (* alpha (- alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (/ (* (+ alpha (* 2 alpha)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (* alpha (- alpha 2)) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (* alpha (- alpha 2)) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (+ 8 (pow alpha 3)))))))) (* 1/2 (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (* alpha (- alpha 2)) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ 4 (* alpha (- alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))))))))))
(* -1/2 (/ alpha (+ 8 (pow alpha 3))))
(+ (* -1/2 (/ alpha (+ 8 (pow alpha 3)))) (* 1/2 (* beta (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))))))
(+ (* -1/2 (/ alpha (+ 8 (pow alpha 3)))) (* beta (+ (* -1/2 (* beta (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))) (* 1/2 (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))))))
(+ (* -1/2 (/ alpha (+ 8 (pow alpha 3)))) (* beta (+ (* 1/2 (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (* beta (+ (* -1/2 (* beta (+ (* -1 (/ alpha (pow (+ 8 (pow alpha 3)) 2))) (+ (* -1 (/ (* (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ 8 (pow alpha 3)))) (/ (* (+ alpha (* 2 alpha)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (* -1/2 (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))))))
(- beta alpha)
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1/2
(+ 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)))
(* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha))
(+ (* -1 (* beta (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)))) (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)))
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* -1/2 (/ (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2))))) alpha)))))
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* beta (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))))))
(- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) 1))) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) 1))) 1)
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))))) 1))) 1)
(* -1 (/ (+ 1 alpha) beta))
(/ (+ beta (* -1 (+ 1 alpha))) beta)
(/ (+ 1 alpha) beta)
(/ 2 (pow beta 2))
(/ (+ 2 (* -1 beta)) (pow beta 2))
(/ (+ 2 (* beta (- beta 1))) (pow beta 2))
(/ -2 (pow beta 2))
(/ (- beta 2) (pow beta 2))
(+ (* beta (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow alpha 3))
(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (* 2 alpha))) (pow alpha 2)))) (pow alpha 3))
(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (+ beta (* 2 alpha)))) (pow alpha 2)))) (pow alpha 3))
(/ -2 beta)
(/ (- beta 2) beta)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (* 1/2 (/ (- (+ 4 (+ (* -1 (* alpha (- (* 2 alpha) 2))) (* alpha (- alpha 2)))) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))) (pow alpha 2)))) (pow beta 2)))))
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (+ 4 (* alpha (- alpha 2))))) (+ 8 (+ (* (+ alpha (* 2 alpha)) (- (+ 4 (+ (* -1 (* alpha (- (* 2 alpha) 2))) (* alpha (- alpha 2)))) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))) (pow alpha 2))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha))) (pow alpha 3))))) (pow beta 3))) (* 1/2 (/ (- (+ 4 (+ (* -1 (* alpha (- (* 2 alpha) 2))) (* alpha (- alpha 2)))) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))) (pow alpha 2)))) (pow beta 2))))))
(/ 1/2 (pow beta 2))
(/ (+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ alpha (* 2 alpha))) beta))) (pow beta 2))
(/ (+ 1/2 (+ (* -1/2 (/ (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ alpha (* 2 alpha))) beta)))) (pow beta 2))
(/ (+ 1/2 (+ (* -1/2 (/ (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 3)))) (pow beta 3))) (+ (* -1/2 (/ (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ alpha (* 2 alpha))) beta))))) (pow beta 2))
(* beta (+ 1/2 (* -1/2 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(+ 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)
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 3))) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))))
(* -1 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3))))))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(/ (- 1 (* 2 (/ 1 beta))) beta)
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3))))))))
(- 1 (* 2 (/ 1 beta)))
(+ 1 (* 1/2 (/ (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha)))) (* 1/2 (/ (- (* -1 (+ 4 (+ (* alpha (+ (* -1 alpha) (* -1 (- alpha 2)))) (* alpha (- alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (+ 4 (+ (* alpha (+ (* -1 alpha) (* -1 (- alpha 2)))) (* alpha (- alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) (* 1/2 (/ (- (* -1 (* alpha (+ 4 (* alpha (- alpha 2))))) (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 4 (+ (* alpha (+ (* -1 alpha) (* -1 (- alpha 2)))) (* alpha (- alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))))) (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) (pow alpha 3))))) beta))) beta)) (* -1/2 (- (* -1 (+ alpha (+ (* -1 alpha) (* -1 (- alpha 2))))) (+ alpha (* 2 alpha))))) beta)))
(/ (+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1/2 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* (+ alpha (* 2 alpha)) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) (pow alpha 3)))) beta)) (* 1/2 (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) beta)) (* -1/2 (- (* -1 alpha) (+ alpha (* 2 alpha))))) beta))) (pow beta 2))
(* -1 (* beta (- (* 1/2 (/ alpha beta)) 1/2)))
(* -1 (* beta (- (/ alpha beta) 1)))
(+ 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))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha beta))) (/ 1 (* alpha beta)))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (* alpha beta)))) (/ 1 (* alpha beta))) beta)) (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (* 1/2 (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (/ (- (* 2 (/ 1 beta)) 1) beta))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (* 2 alpha)) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (pow alpha 3) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))

Outputs
(+ 1/2 (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3)))))
(fma.f64 (/.f64 (*.f64 (fma.f64 (-.f64 beta #s(literal 2 binary64)) beta #s(literal 4 binary64)) beta) (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (* alpha (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))) (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta (neg.f64 (fma.f64 (-.f64 beta #s(literal 2 binary64)) beta #s(literal 4 binary64)))) (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 (.f64 (.f64 (fma.f64 (-.f64 beta #s(literal 2 binary64)) beta #s(literal 4 binary64)) beta) (.f64 #s(literal 3 binary64) (.f64 beta beta))) (pow.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 2 binary64)))) alpha (/.f64 (.f64 (fma.f64 (-.f64 beta #s(literal 2 binary64)) beta #s(literal 4 binary64)) beta) (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))))))) (* 1/2 (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))))))
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(* 1/2 (/ beta (+ 8 (pow beta 3))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (* 1/2 (/ beta (+ 8 (pow beta 3)))))
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(+ (* 1/2 (/ beta (+ 8 (pow beta 3)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ (* (+ beta (* 2 beta)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (pow beta 2)) (pow beta 2))) (+ 8 (pow beta 3)))) (/ beta (pow (+ 8 (pow beta 3)) 2)))))) (* -1/2 (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2)))))))))
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(* 1/2 beta)
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(+ (* -1/2 alpha) (* 1/2 beta))
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beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
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(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))
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(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))
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(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))))) (pow alpha 3))
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(* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
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(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))))) (pow alpha 2))
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(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ 2 (* 2 beta)))) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))))) (pow alpha 2))
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(- 1 (/ 1 beta))
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(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
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(/ 1 beta)
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(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
1
#s(literal 1 binary64)
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(pow beta 3)
(pow.f64 beta #s(literal 3 binary64))
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(fma.f64 (.f64 #s(literal 3 binary64) (.f64 beta beta)) alpha (pow.f64 beta #s(literal 3 binary64)))
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(* 1/2 (/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha))
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(/ (+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1/2 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -4 binary64) (/.f64 (fma.f64 (neg.f64 (.f64 alpha #s(literal -4 binary64))) (.f64 #s(literal 3 binary64) alpha) (.f64 (.f64 alpha alpha) #s(literal -3 binary64))) beta))) beta)) (.f64 beta beta))
(/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* (+ alpha (* 2 alpha)) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) (pow alpha 3)))) beta)) (* 1/2 (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) beta)) (* -1/2 (- (* -1 alpha) (+ alpha (* 2 alpha))))) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 alpha #s(literal -4 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 (.f64 (.f64 alpha alpha) #s(literal -3 binary64))) (.f64 alpha #s(literal -4 binary64)) (fma.f64 (fma.f64 (neg.f64 (.f64 alpha #s(literal -4 binary64))) (.f64 #s(literal 3 binary64) alpha) (.f64 (.f64 alpha alpha) #s(literal -3 binary64))) (.f64 #s(literal 3 binary64) alpha) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal 8 binary64)) beta) (fma.f64 (neg.f64 (.f64 alpha #s(literal -4 binary64))) (.f64 #s(literal 3 binary64) alpha) (.f64 (.f64 alpha alpha) #s(literal -3 binary64))))) (neg.f64 beta))) beta)) (*.f64 beta beta))
(* -1 (* beta (- (* 1/2 (/ alpha beta)) 1/2)))
(.f64 (neg.f64 beta) (-.f64 (.f64 (/.f64 alpha beta) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)))) (neg.f64 beta))) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta #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 (/.f64 #s(literal 1 binary64) beta) #s(literal 1/2 binary64)) (neg.f64 beta))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 beta)) 1) beta)) 1/2) beta))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) (neg.f64 beta)) #s(literal 1/2 binary64)) (neg.f64 beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1) beta)) 1/2) beta))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal 2 binary64)) (neg.f64 beta)) #s(literal 1 binary64)) (neg.f64 beta)) #s(literal 1/2 binary64)) (neg.f64 beta))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha beta))) (/ 1 (* alpha beta)))) beta)) (/ 1 (pow alpha 3)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 alpha beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (* alpha beta)))) (/ 1 (* alpha beta))) beta)) (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) alpha) #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (.f64 alpha alpha))) beta) (/.f64 #s(literal 1/2 binary64) alpha) (neg.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha))) (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta)) (neg.f64 beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) beta) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))))
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (* 1/2 (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (.f64 alpha alpha))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) beta) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))))
(* -1 (/ (- (* 2 (/ 1 beta)) 1) beta))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) (neg.f64 beta))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (* 2 alpha)) beta)) 1)))
(.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (.f64 #s(literal -3 binary64) (/.f64 alpha beta)) #s(literal 1 binary64)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 3 binary64) alpha (/.f64 (.f64 (*.f64 alpha alpha) #s(literal -3 binary64)) (neg.f64 beta))) (neg.f64 beta)) #s(literal 1 binary64))) (pow.f64 beta #s(literal 3 binary64)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (pow alpha 3) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))
(.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 3 binary64) alpha (/.f64 (fma.f64 (.f64 alpha alpha) #s(literal -3 binary64) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (neg.f64 beta))) (neg.f64 beta))) (neg.f64 beta)) #s(literal 1 binary64))) (pow.f64 beta #s(literal 3 binary64)))

rewrite291.0ms (3.3%)

Memory

-30.4MiB live, 298.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	389
0	92	389
1	446	368
2	3699	368
0	8375	360

Stop Event

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

Counts

21 → 196

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (*.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (*.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) #s(literal 64 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (+.f64 #s(literal 512 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 9 binary64)))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta)) #s(literal 1/2 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta)) (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta) #s(literal 4 binary64)) (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) #s(literal 1/2 binary64))
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(+.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -1 binary64)) beta))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -1 binary64)) beta)) #s(literal -1 binary64)))
(+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -1 binary64)) beta) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -1 binary64)) beta))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal -1 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 beta #s(literal -2 binary64)) (pow.f64 (/.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (pow.f64 beta #s(literal -1 binary64)) (/.f64 alpha beta)))
(/.f64 (+.f64 (pow.f64 beta #s(literal -3 binary64)) (pow.f64 (/.f64 alpha beta) #s(literal 3 binary64))) (+.f64 (pow.f64 beta #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (pow.f64 beta #s(literal -1 binary64)) (/.f64 alpha beta)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -1 binary64))) (neg.f64 (neg.f64 beta)))
(/.f64 (fma.f64 #s(literal 1 binary64) beta (.f64 alpha beta)) (.f64 beta beta))
(/.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -1 binary64)) (neg.f64 beta))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 alpha alpha)) (.f64 (-.f64 #s(literal 1 binary64) alpha) beta))
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64)) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -1 binary64)) beta))
(+.f64 (/.f64 alpha beta) (pow.f64 beta #s(literal -1 binary64)))
(+.f64 (pow.f64 beta #s(literal -1 binary64)) (/.f64 alpha beta))
(/.f64 (-.f64 (*.f64 alpha alpha) #s(literal 1 binary64)) (-.f64 alpha #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (neg.f64 (-.f64 #s(literal 1 binary64) alpha)))
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 alpha alpha (-.f64 #s(literal 1 binary64) alpha)))
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) alpha #s(literal 1 binary64))
(fma.f64 alpha #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) (/.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) alpha)))
(+.f64 (pow.f64 (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) alpha)
(+.f64 alpha #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))))
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) beta) beta))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)))) (neg.f64 beta))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))) beta)
(/.f64 (-.f64 (pow.f64 beta #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) beta) beta) #s(literal 2 binary64))) (+.f64 (pow.f64 beta #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) beta) beta)))
(/.f64 (-.f64 (pow.f64 beta #s(literal -3 binary64)) (/.f64 #s(literal -8 binary64) (pow.f64 beta #s(literal 6 binary64)))) (+.f64 (pow.f64 beta #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) beta) beta) #s(literal 2 binary64)) (*.f64 (pow.f64 beta #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) beta) beta)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)))) (neg.f64 (neg.f64 beta)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) beta) (.f64 beta (/.f64 #s(literal 2 binary64) beta))) (*.f64 beta beta))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) beta))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) beta) (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) #s(literal 1 binary64)) beta))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))) (neg.f64 beta))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta)
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))) beta))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) (neg.f64 beta)))
(-.f64 (pow.f64 beta #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) beta) beta))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (+.f64 alpha beta)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (+.f64 alpha beta)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 alpha beta)) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (+.f64 alpha beta)) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fabs.f64 (+.f64 alpha beta)))
(*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 alpha beta))
(*.f64 (+.f64 alpha beta) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (+.f64 alpha beta)))
(pow.f64 (neg.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))
(/.f64 (fabs.f64 (.f64 (fma.f64 alpha alpha (.f64 (neg.f64 beta) beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (fabs.f64 (-.f64 alpha beta)))
(/.f64 (fabs.f64 (.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (fabs.f64 (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(/.f64 (fabs.f64 (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 alpha alpha (.f64 (neg.f64 beta) beta)))) (fabs.f64 (-.f64 alpha beta)))
(/.f64 (fabs.f64 (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))))) (fabs.f64 (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(/.f64 (fabs.f64 (pow.f64 (fma.f64 alpha alpha (*.f64 (neg.f64 beta) beta)) #s(literal 3 binary64))) (fabs.f64 (pow.f64 (-.f64 alpha beta) #s(literal 3 binary64))))
(/.f64 (fabs.f64 (pow.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 3 binary64))) (fabs.f64 (pow.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) #s(literal 3 binary64))))
(/.f64 (pow.f64 (neg.f64 (fma.f64 alpha alpha (*.f64 (neg.f64 beta) beta))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 alpha beta)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) #s(literal 3 binary64)) (pow.f64 (-.f64 beta alpha) #s(literal 3 binary64)))
(/.f64 (.f64 (fma.f64 alpha alpha (.f64 (neg.f64 beta) beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 alpha beta))
(/.f64 (.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))))
(/.f64 (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 alpha alpha (.f64 (neg.f64 beta) beta))) (-.f64 alpha beta))
(/.f64 (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha))))
(/.f64 (pow.f64 (fma.f64 alpha alpha (*.f64 (neg.f64 beta) beta)) #s(literal 3 binary64)) (pow.f64 (-.f64 alpha beta) #s(literal 3 binary64)))
(/.f64 (pow.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 beta beta (-.f64 (.f64 alpha alpha) (.f64 alpha beta))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta))
(fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha))
(fma.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(fma.f64 beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))
(fabs.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 (+.f64 alpha beta)) #s(literal 3/2 binary64) (*.f64 (log.f64 (+.f64 alpha beta)) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 alpha beta)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))
(+.f64 (.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(+.f64 (.f64 beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta))
(+.f64 (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) beta) (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) beta) (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) beta) (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) beta) (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))

eval85.0ms (1%)

Memory: 33.1MiB live, 127.0MiB allocated
Compiler: Compiled 19 256 to 2 147 computations (88.9% saved)

prune28.0ms (0.3%)

Memory

-13.0MiB live, 78.6MiB allocated

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	370	5	375
Fresh	1	9	10
Picked	3	2	5
Done	0	5	5
Total	374	21	395

Accuracy

100.0%

Counts

395 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.4%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	44.6%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
	3.8%	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	43.3%	(fma.f64 #s(approx (/ (* 1/2 (- beta alpha)) (+ (pow (+ alpha beta) 3) 8)) (*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal -1/2 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
	53.5%	(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha beta))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))))
✓	68.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	41.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (+ 2 beta)) (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
✓	42.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (+ 2 beta)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
	32.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64)))
	32.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	14.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 4 binary64)) (.f64 alpha alpha)))) (neg.f64 alpha)))
	26.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)))) (neg.f64 alpha)))
✓	26.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))) (neg.f64 alpha)))
	31.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)))
✓	29.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ 2 beta)) beta) (/.f64 (-.f64 beta #s(literal 2 binary64)) (*.f64 beta beta))))))
✓	46.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	36.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	47.3%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
	30.8%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha)) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
	32.6%	#s(approx (+ (* (/ (* 1/2 (- beta alpha)) (+ (pow (+ alpha beta) 3) 8)) (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4)) 1/2) (.f64 (/.f64 (-.f64 (-.f64 beta (-.f64 (.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) beta)) alpha) #s(literal 1/2 binary64)))

Compiler

Compiled 2 093 to 766 computations (63.4% saved)

regimes58.0ms (0.7%)

Memory

27.2MiB live, 123.6MiB allocated

Counts

40 → 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ 2 beta)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ 2 beta)) (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) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))) (neg.f64 alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64)))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ 2 beta)) beta) (/.f64 (-.f64 beta #s(literal 2 binary64)) (*.f64 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)))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)))) (neg.f64 alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) 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 (+ (* (/ (* 1/2 (- beta alpha)) (+ (pow (+ alpha beta) 3) 8)) (+ (* (+ alpha beta) (- (+ alpha beta) 2)) 4)) 1/2) (.f64 (/.f64 (-.f64 (-.f64 beta (-.f64 (.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) beta)) alpha) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)))) (.f64 alpha alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 4 binary64)) (.f64 alpha alpha)))) (neg.f64 alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(approx (/ (* 1/2 (- beta alpha)) (+ (pow (+ alpha beta) 3) 8)) (*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal -1/2 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (/.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 alpha beta))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha)) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) alpha)) alpha)) #s(literal 2 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) alpha)) alpha)) #s(literal 2 binary64))
(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 alpha)) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (+.f64 #s(literal 2 binary64) beta)) beta) (neg.f64 alpha))) #s(literal 2 binary64))

Outputs

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

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

Calls

5 calls:

14.0ms	alpha
13.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
11.0ms	beta
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
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
94.2%	2	`alpha`
71.4%	1	`beta`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes23.0ms (0.3%)

Memory

-4.6MiB live, 41.4MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes17.0ms (0.2%)

Memory

-15.3MiB live, 29.2MiB allocated

Counts

19 → 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ 2 beta)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ 2 beta)) (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) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))) (neg.f64 alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64)))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ 2 beta)) beta) (/.f64 (-.f64 beta #s(literal 2 binary64)) (*.f64 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)))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))

Outputs

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

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

Calls

3 calls:

7.0ms

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

5.0ms

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

4.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes16.0ms (0.2%)

Memory

-16.9MiB live, 27.7MiB allocated

Counts

18 → 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ 2 beta)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ 2 beta)) (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) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))) (neg.f64 alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64)))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ 2 beta)) beta) (/.f64 (-.f64 beta #s(literal 2 binary64)) (*.f64 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)))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 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) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))

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))

4.0ms

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

Results

Accuracy	Segments	Branch
97.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
97.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes11.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ 2 beta)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ 2 beta)) (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) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))) (neg.f64 alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64)))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
98.5%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
98.5%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.5%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes10.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes13.0ms (0.2%)

Memory

-25.4MiB live, 23.6MiB 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ 2 beta)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ 2 beta)) (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) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))) (neg.f64 alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 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 (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))

Calls

3 calls:

6.0ms

(/.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
97.4%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
97.4%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.4%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes11.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

3.0ms	alpha
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
68.3%	2	`alpha`
91.5%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
91.5%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.5%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes13.0ms (0.1%)

Memory

-25.8MiB live, 17.8MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

7.0ms

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

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
91.4%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
91.4%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.4%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes10.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

7 → 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ 2 beta)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ 2 beta)) (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 (+ (* (/ beta (+ 2 beta)) 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

4 calls:

2.0ms	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
68.4%	2	`beta`
68.2%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
68.2%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
68.2%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes2.0ms (0%)

Memory

6.2MiB live, 6.2MiB 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 (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ 2 beta)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Outputs

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

1 calls:

2.0ms

beta

Results

Accuracy	Segments	Branch
68.3%	2	`beta`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory

-27.6MiB live, 17.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

5 calls:

6.0ms	alpha
1.0ms	beta
1.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
67.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
67.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
67.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
51.0%	2	`alpha`
67.9%	2	`beta`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes5.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB 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	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
1.0ms	alpha
1.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
36.4%	1	`alpha`
36.4%	1	`beta`
36.4%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
36.4%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
36.4%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.785910361817855e-7	0.00016188517692472537

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1788376103337725e-9	1.785910361817855e-7

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1788376103337725e-9	1.785910361817855e-7

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00016188517692472537	0.49995024410183775

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.696588559693369	0.9949346069090237
0.0ms	2.1788376103337725e-9	1.785910361817855e-7

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.696588559693369	0.9949346069090237
0.0ms	2.1788376103337725e-9	1.785910361817855e-7

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.696588559693369	0.9949346069090237
0.0ms	0.00016188517692472537	0.49995024410183775

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.696588559693369	0.9949346069090237
0.0ms	0.00016188517692472537	0.49995024410183775

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.696588559693369	0.9949346069090237
0.0ms	0.00016188517692472537	0.49995024410183775

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch83.0ms (1%)

Memory

-3.0MiB live, 42.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
79.0ms	1.2958546289137565	417027.3695437266

Samples

55.0ms	17×	2	valid
9.0ms	100×	0	valid
6.0ms	27×	1	valid

Compiler

Compiled 430 to 339 computations (21.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

adjust: 53.0ms (82.7% of total)

ival-add: 5.0ms (7.8% of total)

ival-div: 4.0ms (6.2% of total)

ival-sub: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.2958546289137565	417027.3695437266

Compiler

Compiled 403 to 321 computations (20.3% saved)

bsearch7.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.696588559693369	0.9949346069090237

Samples

2.0ms

64×

valid

Compiler

Compiled 176 to 143 computations (18.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

adjust: 0.0ms (0% of total)

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

simplify107.0ms (1.2%)

Memory

-15.0MiB live, 138.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	994
1	199	982
2	353	980
3	1038	980
4	6131	980

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/36893488147419103232 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 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))) (neg.f64 alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))) (neg.f64 alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/36893488147419103232 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 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))) (neg.f64 alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))) (neg.f64 alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) #s(approx (- (* (/ (- 4 (/ 8 alpha)) alpha) 1/2) 1) #s(literal -1 binary64))) (neg.f64 alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 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))

derivations999.0ms (11.4%)

Memory

8.1MiB live, 1 322.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	940	4962
1	3287	4754
0	8361	4514
0	10	44
0	16	44
1	86	44
2	628	44
0	8529	43
0	43	360
0	74	360
1	337	327
2	2719	327
0	9190	327
0	766	3525
1	2585	3228
0	8813	3099
0	433	2178
1	1507	2045
2	5969	1957
0	8060	1860

Stop Event

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

Compiler

Compiled 994 to 128 computations (87.1% saved)

preprocess146.0ms (1.7%)

Memory: 10.1MiB live, 114.1MiB allocated
Compiler: Compiled 2 014 to 276 computations (86.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.7s (18.9%)

explain156.0ms (1.8%)

preprocess240.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify155.0ms (1.8%)

localize68.0ms (0.8%)

series12.0ms (0.1%)

simplify183.0ms (2.1%)

rewrite208.0ms (2.4%)

eval127.0ms (1.5%)

prune16.0ms (0.2%)

simplify165.0ms (1.9%)

localize238.0ms (2.7%)

series60.0ms (0.7%)

simplify227.0ms (2.6%)

rewrite279.0ms (3.2%)

eval303.0ms (3.5%)

prune65.0ms (0.7%)

simplify148.0ms (1.7%)

localize193.0ms (2.2%)

series17.0ms (0.2%)

simplify173.0ms (2%)

rewrite184.0ms (2.1%)

eval71.0ms (0.8%)

prune18.0ms (0.2%)

simplify180.0ms (2.1%)

localize518.0ms (5.9%)

series938.0ms (10.7%)

simplify188.0ms (2.2%)

rewrite291.0ms (3.3%)

eval85.0ms (1%)

prune28.0ms (0.3%)

regimes58.0ms (0.7%)

regimes23.0ms (0.3%)

regimes17.0ms (0.2%)

regimes16.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes13.0ms (0.2%)

regimes11.0ms (0.1%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes2.0ms (0%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch83.0ms (1%)

bsearch2.0ms (0%)

bsearch7.0ms (0.1%)

simplify107.0ms (1.2%)

derivations999.0ms (11.4%)

preprocess146.0ms (1.7%)

end0.0ms (0%)

Profiling