Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze28.0ms (0.3%)

Memory

-45.9MiB live, 10.6MiB allocated; 31ms collecting garbage

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 (17.2%)

Memory

72.9MiB live, 2 228.0MiB allocated; 431ms collecting garbage

Samples

605.0ms	5 963×	0	valid
325.0ms	868×	2	valid
312.0ms	1 425×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 915.0ms

adjust: 271.0ms (29.6% of total)

ival-div: 251.0ms (27.4% of total)

ival-add: 177.0ms (19.3% of total)

ival-sub: 130.0ms (14.2% of total)

ival->: 57.0ms (6.2% of total)

exact: 15.0ms (1.6% of total)

ival-and: 12.0ms (1.3% of total)

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

Bogosity

explain197.0ms (2%)

Memory

-9.2MiB live, 180.3MiB allocated; 20ms collecting garbage

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

49.0ms	70×	2	valid
23.0ms	354×	0	valid
14.0ms	88×	1	valid

Compiler

Compiled 113 to 34 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 40.0ms (60.2% of total)

ival-add: 11.0ms (16.5% of total)

adjust: 10.0ms (15% of total)

ival-sub: 4.0ms (6% of total)

exact: 1.0ms (1.5% of total)

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

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

preprocess437.0ms (4.4%)

Memory

49.9MiB live, 276.6MiB allocated; 54ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	73
1	69	73
2	166	73
3	402	73
4	1384	69
5	6980	69
0	10	13
0	16	13
1	31	13
2	58	13
3	131	13
4	450	13
5	3493	13
6	6894	13
0	8147	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 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal -1/2 binary64))

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify459.0ms (4.7%)

Memory

-36.5MiB live, 308.1MiB allocated; 43ms collecting garbage

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	58	48
3	131	48
4	450	48
5	3493	48
6	6894	48
0	8147	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 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 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 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 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize44.0ms (0.4%)

Memory

12.5MiB live, 57.4MiB allocated; 4ms collecting garbage

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	0.01171875	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	18.469928998768527	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

18.0ms	35×	2	valid
11.0ms	177×	0	valid
7.0ms	44×	1	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-add: 14.0ms (52.4% of total)

adjust: 5.0ms (18.7% of total)

ival-div: 5.0ms (18.7% of total)

ival-sub: 2.0ms (7.5% 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

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

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))

simplify287.0ms (2.9%)

Memory

-14.1MiB live, 263.8MiB allocated; 86ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2177
1	1507	2025
2	6749	1937
0	9027	1843

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 85

Calls

Call 1

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

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

rewrite63.0ms (0.6%)

Memory

18.3MiB live, 64.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	16	44
1	85	44
0	694	44

Stop Event

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

Counts

6 → 92

Calls

Call 1

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

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

eval45.0ms (0.5%)

Memory: 5.3MiB live, 51.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 075 to 874 computations (82.8% saved)

prune17.0ms (0.2%)

Memory

-30.6MiB live, 23.9MiB allocated; 6ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	163	10	173
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	164	10	174

Accuracy

99.9%

Counts

174 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.6%	(/.f64 (fma.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)) #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 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 alpha)) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64)))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha))) #s(literal 2 binary64))
▶	71.2%	(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	69.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	30.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) 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)) (-.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
	32.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	30.1%	#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 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha))
▶	29.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))
▶	46.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
▶	36.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 560 to 364 computations (35% saved)

simplify532.0ms (5.4%)

Memory

28.9MiB live, 532.1MiB allocated; 131ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	229
0	55	229
1	96	229
2	211	229
3	698	229
4	3758	229
0	8169	222

Stop Event

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

Calls

Call 1

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

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

localize385.0ms (3.9%)

Memory

17.5MiB live, 305.3MiB allocated; 37ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 alpha beta)
accuracy	0.0078125	(pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	18.87119267381661	(fma.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)) #s(literal 1 binary64))
accuracy	20.504303936319932	(/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))
accuracy	0.0	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))
accuracy	0.015625	(/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))
accuracy	19.385063467303702	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
accuracy	21.06307022336154	(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))
accuracy	0.0	(+.f64 #s(literal 1 binary64) alpha)
accuracy	0.01171875	(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
accuracy	45.08098255299632	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))
accuracy	40.818301531611986	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0.0	(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
accuracy	0.0	(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))
accuracy	0.01171875	(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
accuracy	18.461374955247837	(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))

Samples

268.0ms	166×	0	valid
35.0ms	42×	2	valid
30.0ms	48×	1	valid

Compiler

Compiled 213 to 33 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

adjust: 18.0ms (24% of total)

ival-div: 17.0ms (22.7% of total)

ival-add: 13.0ms (17.3% of total)

ival-sub: 11.0ms (14.7% of total)

ival-mult: 10.0ms (13.3% of total)

ival-pow2: 4.0ms (5.3% of total)

exact: 1.0ms (1.3% of total)

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

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

series45.0ms (0.5%)

Memory

-5.0MiB live, 84.0MiB allocated; 11ms collecting garbage

Counts

19 → 212

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	alpha	@	0	((* (+ 2 (+ alpha beta)) 2) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (/ (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2) (+ alpha beta))
7.0ms	beta	@	inf	((* (+ 2 (+ alpha beta)) 2) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (/ (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2) (+ alpha beta))
7.0ms	alpha	@	-inf	((* (+ 2 (+ alpha beta)) 2) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (/ (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2) (+ alpha beta))
6.0ms	beta	@	-inf	((* (+ 2 (+ alpha beta)) 2) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (/ (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2) (+ alpha beta))
5.0ms	alpha	@	inf	((* (+ 2 (+ alpha beta)) 2) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (/ (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) 2) (+ (* (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1) (/ (- beta alpha) (- (pow (+ alpha beta) 2) 4)) (+ 2 (+ alpha beta)) (pow (+ alpha beta) 2) (+ alpha beta))

simplify373.0ms (3.8%)

Memory

-0.8MiB live, 364.6MiB allocated; 105ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1086	7639
1	3836	7456
0	8477	6835

Stop Event

1×	iter limit
1×	node limit

Counts

212 → 210

Calls

Call 1

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

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

rewrite95.0ms (1%)

Memory

-21.6MiB live, 165.0MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	191
0	55	184
1	250	177
0	2310	170

Stop Event

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

Counts

19 → 325

Calls

Call 1

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

Outputs
(*.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 (+.f64 beta alpha) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 16 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
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(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
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eval84.0ms (0.9%)

Memory: 27.0MiB live, 166.7MiB allocated; 12ms collecting garbage
Compiler: Compiled 19 846 to 2 757 computations (86.1% saved)

prune25.0ms (0.3%)

Memory

-18.4MiB live, 67.7MiB allocated; 11ms collecting garbage

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	546	12	558
Fresh	3	2	5
Picked	4	1	5
Done	0	0	0
Total	553	15	568

Accuracy

100.0%

Counts

568 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.2%	(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))
	4.0%	(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
▶	69.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	32.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
▶	29.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)))
	32.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))))
	47.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) alpha)) (.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
	45.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64))))
	44.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
	25.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
▶	27.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
▶	46.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)))
✓	36.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	46.9%	#s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
	31.7%	#s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/.f64 (fma.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))) alpha)) #s(literal -1/2 binary64) (.f64 (-.f64 beta (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) alpha))

Compiler

Compiled 715 to 516 computations (27.8% saved)

simplify1.3s (13.5%)

Memory

64.6MiB live, 1 221.7MiB allocated; 360ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	208
0	49	208
1	77	208
2	152	208
3	423	204
4	1942	204
0	8312	204

Stop Event

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

Calls

Call 1

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

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

localize115.0ms (1.2%)

Memory

-17.4MiB live, 216.2MiB allocated; 24ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 beta #s(literal -2 binary64))
accuracy	0.0078125	(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.015625	(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
accuracy	19.444194016422045	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))
accuracy	0.01171875	(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)
accuracy	22.349939123908207	#s(approx (+ 1 alpha) #s(literal 1 binary64))
accuracy	45.08098255299632	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) alpha)
accuracy	19.385063467303702	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
accuracy	40.1122371103512	#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))
accuracy	19.385063467303702	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)))
accuracy	22.316721939951123	#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))
accuracy	0.0	(-.f64 beta alpha)
accuracy	0.0	(+.f64 beta alpha)
accuracy	0.01171875	(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))
accuracy	18.461374955247837	(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))

Samples

31.0ms	166×	0	valid
30.0ms	42×	2	valid
29.0ms	48×	1	valid

Compiler

Compiled 157 to 32 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

adjust: 18.0ms (26.4% of total)

ival-add: 17.0ms (24.9% of total)

ival-div: 16.0ms (23.5% of total)

ival-sub: 9.0ms (13.2% of total)

ival-mult: 7.0ms (10.3% of total)

exact: 1.0ms (1.5% of total)

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

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

series17.0ms (0.2%)

Memory

27.7MiB live, 27.7MiB allocated; 0ms collecting garbage

Counts

18 → 133

Calls

Call 1

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

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

Calls

6 calls:

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

simplify201.0ms (2%)

Memory

-28.0MiB live, 183.9MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	671	3177
1	2259	2881
0	8561	2598

Stop Event

1×	iter limit
1×	node limit

Counts

133 → 131

Calls

Call 1

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

Outputs
(+ 1/2 (/ beta (+ 4 (* 2 beta))))
(-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64))
(+ 1/2 (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))))
(fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(+ 1/2 (+ (* alpha (- (* alpha (- (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))))
(fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64))) alpha (.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha (-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(+ 1/2 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))) (* 8 (/ beta (pow (+ 4 (* 2 beta)) 4)))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2)))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64)))) alpha (.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha (-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(/ beta (+ 4 (* 2 beta)))
(/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))
(+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))
(fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))
(+ (* alpha (- (* 2 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (+ 4 (* 2 beta)))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))
(fma.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))
(+ (* alpha (- (* alpha (- (* -4 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (pow (+ 4 (* 2 beta)) 2))) (* -2 (/ (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))) (+ 4 (* 2 beta)))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal -4 binary64) alpha) (/.f64 (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ 4 (* 2 beta))
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))
(+ 4 (+ (* 2 alpha) (* 2 beta)))
(fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 alpha))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(+ (/ 1 beta) (/ alpha beta))
(/.f64 (-.f64 alpha #s(literal -1 binary64)) beta)
1
#s(literal 1 binary64)
(+ 1 alpha)
(-.f64 alpha #s(literal -1 binary64))
(+ alpha beta)
(+.f64 alpha beta)
(/ (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha)
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) beta) alpha)) alpha)
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha)
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) alpha) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) beta))) (fma.f64 (/.f64 #s(literal -1/8 binary64) alpha) (.f64 beta (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha)) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) beta) alpha))) alpha)
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* -1/32 (/ (pow (+ 4 (* 2 beta)) 4) (pow alpha 3))) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (+ (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))))) alpha)
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1/32 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) alpha) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) beta)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) alpha) (.f64 beta (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha)) (fma.f64 (.f64 #s(literal 1/16 binary64) beta) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal 3 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) beta) alpha)))) alpha)
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 (/ beta alpha)) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1/2 binary64))
(- (+ (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/2 (/ beta alpha))) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 alpha alpha)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1/2 binary64)))
(- (+ (* 1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 3))) (* 1/2 (/ beta alpha))) (+ 1/2 (+ (* -1/4 (/ (+ 4 (* 2 beta)) alpha)) (* 1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 alpha alpha)))))
(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (/ beta alpha) 1))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* alpha (+ 2 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -2 binary64)) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 beta #s(literal -2 binary64)) beta)) 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 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (.f64 alpha alpha)) (/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 beta #s(literal -2 binary64)) beta)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -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 (/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (.f64 alpha alpha))) (/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (.f64 (-.f64 beta #s(literal -2 binary64)) beta)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64)))) alpha)
(* -1 (/ alpha beta))
(/.f64 (neg.f64 alpha) beta)
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta)) alpha)
(/ alpha beta)
(/.f64 alpha beta)
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) alpha)
alpha
(* alpha (+ 1 (/ 1 alpha)))
(-.f64 alpha #s(literal -1 binary64))
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 (/.f64 beta alpha) alpha alpha)
(* -1 (/ (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta)))) alpha))
(/.f64 (fma.f64 #s(literal -1/2 binary64) beta (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1/2 beta) (+ (* 1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) (* 1/4 (+ 4 (* 2 beta)))) alpha))
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) beta (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) beta (*.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)))) alpha)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) alpha)) (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha))) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) beta (.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)))) alpha) (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) beta (*.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (neg.f64 alpha)) (+.f64 #s(literal 1 binary64) beta)) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (pow (+ 4 (* 2 beta)) 4) alpha)) (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha))) (+ (* 1/16 (pow (+ 4 (* 2 beta)) 3)) (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2))))) alpha)) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha))
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(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 beta beta))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (.f64 beta beta)) (/.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) beta)
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 4 binary64) (pow.f64 beta #s(literal 3 binary64))))
(- 1 (* 2 (/ 1 beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) beta))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(fma.f64 (/.f64 #s(literal 2 binary64) beta) beta beta)
(* beta (+ 1 (/ alpha beta)))
(fma.f64 (/.f64 alpha beta) beta beta)
(- (+ 1 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) alpha) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))))) beta)) beta))
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)))) beta))
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) alpha) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))))) beta)) beta))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
(* -1 (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 2)))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -1 binary64) #s(literal -2 binary64)))
(+ 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 alpha #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) 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 alpha #s(literal -2 binary64)) #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))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) beta))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) beta)) beta)) beta))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64)))

rewrite83.0ms (0.8%)

Memory

-4.1MiB live, 82.3MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	195
0	49	195
1	231	195
0	1988	195

Stop Event

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

Counts

18 → 151

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 beta alpha)))) (.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (-.f64 beta alpha))) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))
(/.f64 (fma.f64 (neg.f64 (-.f64 beta alpha)) #s(literal 2 binary64) (.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))))
(-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))
(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal -4 binary64)))
(.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (.f64 (+.f64 alpha beta) #s(literal 8 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))) (+.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (fma.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 beta alpha))) (neg.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) alpha)) (*.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))))
(-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 alpha beta))
(.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 alpha (-.f64 alpha beta) (*.f64 beta beta)))
(.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 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (-.f64 beta alpha))
(/.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 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (neg.f64 (+.f64 alpha 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 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 16 binary64) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal -4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 64 binary64))) (neg.f64 (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64))))))
(/.f64 (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal -4 binary64)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 8 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64)))))
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal -4 binary64))))
(-.f64 (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64))
(-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (+.f64 alpha beta)) #s(literal 2 binary64)))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(+.f64 (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (.f64 (+.f64 alpha beta) #s(literal 8 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64))))))
(+.f64 (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (pow.f64 alpha #s(literal -1 binary64))))
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (pow.f64 alpha #s(literal -1 binary64)))
(*.f64 (pow.f64 alpha #s(literal -1/2 binary64)) (pow.f64 alpha #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal -1 binary64)))
(pow.f64 alpha #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 alpha))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 alpha)))
(/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) alpha)
(neg.f64 (/.f64 #s(literal -1 binary64) alpha))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 alpha)))
(exp.f64 (*.f64 (log.f64 alpha) #s(literal -1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) (+.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) (+.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) (+.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) (+.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))
(*.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)))) (neg.f64 beta))
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (+ 1 alpha) #s(literal 1 binary64))) beta)
(/.f64 (neg.f64 (neg.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)))) (neg.f64 (neg.f64 beta)))
(/.f64 (neg.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64))) (neg.f64 beta))
(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)
(neg.f64 (/.f64 (neg.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64))) beta))
(neg.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (neg.f64 beta)))
#s(approx (+ 1 alpha) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) beta) #s(literal 2 binary64) (.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) beta))) (*.f64 #s(literal 2 binary64) (-.f64 beta #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 beta beta #s(literal -4 binary64))) (+.f64 #s(literal -2 binary64) beta) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/4 binary64)))))
(+.f64 (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) (+.f64 #s(literal -2 binary64) beta))
(*.f64 (/.f64 beta (-.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 beta)) (neg.f64 (neg.f64 (-.f64 beta #s(literal -2 binary64)))))
(/.f64 (neg.f64 beta) (neg.f64 (-.f64 beta #s(literal -2 binary64))))
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
(neg.f64 (/.f64 (neg.f64 beta) (-.f64 beta #s(literal -2 binary64))))
(neg.f64 (/.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 beta beta #s(literal -4 binary64))) (neg.f64 (+.f64 #s(literal -2 binary64) beta)))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64)))))
(/.f64 (fma.f64 beta beta #s(literal -4 binary64)) (+.f64 #s(literal -2 binary64) beta))
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64))))
(-.f64 (/.f64 (*.f64 beta beta) (+.f64 #s(literal -2 binary64) beta)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) beta)))
(-.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64)))) (/.f64 #s(literal -8 binary64) (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64)))))
(-.f64 beta #s(literal -2 binary64))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (+.f64 alpha beta))
(.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 alpha (+.f64 alpha beta) (*.f64 beta beta)))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (neg.f64 (-.f64 beta alpha)))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha 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 (-.f64 alpha beta) (*.f64 beta 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 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.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 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(fma.f64 #s(literal 1 binary64) alpha beta)
(fma.f64 alpha #s(literal 1 binary64) beta)
(-.f64 (/.f64 (.f64 beta beta) (-.f64 beta alpha)) (/.f64 (.f64 alpha alpha) (-.f64 beta alpha)))
(-.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (.f64 beta beta) (-.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 (/.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)

eval104.0ms (1.1%)

Memory: -14.5MiB live, 82.8MiB allocated; 28ms collecting garbage
Compiler: Compiled 8 675 to 1 305 computations (85% saved)

prune13.0ms (0.1%)

Memory

29.7MiB live, 29.7MiB allocated; 0ms collecting garbage

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	268	4	272
Fresh	2	7	9
Picked	0	5	5
Done	0	1	1
Total	270	17	287

Accuracy

100.0%

Counts

287 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.2%	(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))
▶	4.0%	(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
✓	69.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	32.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
✓	29.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)))
	32.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))))
▶	47.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) alpha)) (.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
	41.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
▶	42.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
▶	45.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64))))
	44.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
	25.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
✓	27.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
✓	46.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)))
✓	36.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	46.9%	#s(approx (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))))
	31.7%	#s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/.f64 (fma.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))) alpha)) #s(literal -1/2 binary64) (.f64 (-.f64 beta (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) alpha))

Compiler

Compiled 724 to 527 computations (27.2% saved)

simplify243.0ms (2.5%)

Memory

18.9MiB live, 198.6MiB allocated; 46ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
cost-diff	0	(-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64))
cost-diff	0	(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64))))
cost-diff	0	(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64))
cost-diff	0	(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
cost-diff	1	(*.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64)))
cost-diff	1	(-.f64 (.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) alpha))
cost-diff	1	(.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) alpha)) (.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))
cost-diff	5	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) alpha)) (*.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	266
0	63	258
1	116	246
2	297	240
3	1675	240
0	8241	227

Stop Event

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

Calls

Call 1

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

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

localize161.0ms (1.6%)

Memory

-29.6MiB live, 260.1MiB allocated; 29ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) beta)
accuracy	0.01171875	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
accuracy	42.9086027966748	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
accuracy	0.0	(-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64))
accuracy	0.0	(*.f64 #s(literal 1/8 binary64) alpha)
accuracy	19.385063467303702	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64))))
accuracy	22.384234974156534	#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))
accuracy	0.0	(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
accuracy	19.444194016422045	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
accuracy	21.059380139856124	#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))
accuracy	18.461374955247837	(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
accuracy	42.86625470811392	#s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64))
accuracy	0.0	(*.f64 #s(literal 2 binary64) alpha)
accuracy	0.01171875	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) alpha)) (*.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64))))
accuracy	19.385063467303702	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) alpha)) (.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
accuracy	21.320796566822512	(-.f64 (.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) alpha))

Samples

64.0ms	166×	0	valid
39.0ms	42×	2	valid
27.0ms	48×	1	valid

Compiler

Compiled 194 to 44 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

adjust: 23.0ms (25.2% of total)

ival-mult: 19.0ms (20.8% of total)

ival-add: 18.0ms (19.7% of total)

ival-sub: 16.0ms (17.6% of total)

ival-div: 15.0ms (16.5% of total)

exact: 1.0ms (1.1% of total)

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

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

series17.0ms (0.2%)

Memory

33.2MiB live, 33.2MiB allocated; 0ms collecting garbage

Counts

19 → 116

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	alpha	@	inf	((/ (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2))) (* (/ (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2))) 1/2) (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2)) (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (- (* 1/8 alpha) 1/4) alpha) 1/2) (- (* 1/8 alpha) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* 2 alpha) (* 1/8 alpha))
3.0ms	alpha	@	-inf	((/ (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2))) (* (/ (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2))) 1/2) (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2)) (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (- (* 1/8 alpha) 1/4) alpha) 1/2) (- (* 1/8 alpha) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* 2 alpha) (* 1/8 alpha))
2.0ms	alpha	@	0	((/ (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2))) (* (/ (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2))) 1/2) (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2)) (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (- (* 1/8 alpha) 1/4) alpha) 1/2) (- (* 1/8 alpha) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* 2 alpha) (* 1/8 alpha))
1.0ms	beta	@	0	((/ (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2))) (* (/ (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2))) 1/2) (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2)) (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (- (* 1/8 alpha) 1/4) alpha) 1/2) (- (* 1/8 alpha) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* 2 alpha) (* 1/8 alpha))
1.0ms	beta	@	inf	((/ (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2))) (* (/ (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2))) 1/2) (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2)) (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (- (* 1/8 alpha) 1/4) alpha) 1/2) (- (* 1/8 alpha) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* 2 alpha) (* 1/8 alpha))

simplify745.0ms (7.6%)

Memory

-91.0MiB live, 245.1MiB allocated; 153ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	641	3035
1	2128	2773
0	8923	2493

Stop Event

1×	iter limit
1×	node limit

Counts

116 → 115

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 alpha))
(fma.f64 #s(literal -1/2 binary64) alpha #s(literal 1 binary64))
(+ 1 (* alpha (- (* 1/4 alpha) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) alpha #s(literal -1/2 binary64)) alpha #s(literal 1 binary64))
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) alpha #s(literal 1/4 binary64)) alpha #s(literal -1/2 binary64)) alpha #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 alpha))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 2 alpha))
(fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))
(+ 1/2 (/ beta (+ 4 (* 2 beta))))
(-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64))
(+ 1/2 (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))))
(fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(+ 1/2 (+ (* alpha (- (* alpha (- (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))))
(fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64))) alpha (.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha (-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(+ 1/2 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))) (* 8 (/ beta (pow (+ 4 (* 2 beta)) 4)))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2)))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64)))) alpha (.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha (-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(/ beta (+ 4 (* 2 beta)))
(/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))
(+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))
(fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))
(+ (* alpha (- (* 2 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (+ 4 (* 2 beta)))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))
(fma.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))
(+ (* alpha (- (* alpha (- (* -4 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (pow (+ 4 (* 2 beta)) 2))) (* -2 (/ (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))) (+ 4 (* 2 beta)))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal -4 binary64) alpha) (/.f64 (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (*.f64 #s(literal -1/2 binary64) alpha) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
-1/4
#s(literal -1/4 binary64)
(- (* 1/8 alpha) 1/4)
(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))
(/ (+ 1 beta) alpha)
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 1/8 alpha)
(*.f64 #s(literal 1/8 binary64) alpha)
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) #s(literal -2 binary64)) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) #s(literal -2 binary64)) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 #s(literal 16 binary64) (pow.f64 alpha #s(literal 3 binary64)))) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64)))) alpha)
(* alpha (+ 2 (* 4 (/ 1 alpha))))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)
(/ (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)) alpha)
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha)
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) #s(literal -1/8 binary64) (-.f64 beta #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) beta) alpha)) alpha)
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha)
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) alpha) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) #s(literal -1/8 binary64) (-.f64 beta #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) alpha) (.f64 beta (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha)) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) beta) alpha))) alpha)
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* -1/32 (/ (pow (+ 4 (* 2 beta)) 4) (pow alpha 3))) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (+ (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))))) alpha)
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1/32 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) alpha) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) #s(literal -1/8 binary64) (-.f64 beta #s(literal -1 binary64))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) alpha) (.f64 beta (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha)) (fma.f64 (.f64 #s(literal 1/16 binary64) beta) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal 3 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) beta) alpha)))) alpha)
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 (/ beta alpha)) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha))))
(-.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) #s(literal 1/2 binary64))
(- (+ (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/2 (/ beta alpha))) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (/.f64 (-.f64 beta #s(literal -1 binary64)) (.f64 alpha alpha)) (-.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) #s(literal 1/2 binary64)))
(- (+ (* 1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 3))) (* 1/2 (/ beta alpha))) (+ 1/2 (+ (* -1/4 (/ (+ 4 (* 2 beta)) alpha)) (* 1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2))))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 beta #s(literal -1 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (-.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (/.f64 (-.f64 beta #s(literal -1 binary64)) (.f64 alpha alpha)))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)
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(-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) alpha) (.f64 beta beta)) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) beta) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) beta) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta)))
(- (+ 1 (+ (* -1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta))))))
(-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1/8 binary64) (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) alpha) (*.f64 beta beta)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) beta) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) beta) (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta))))
(- (+ 1/2 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta))
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta)))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (/.f64 alpha beta)) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) beta)))
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 3))))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) alpha) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) beta) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)))))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 beta beta))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (.f64 beta beta)) (/.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 4 binary64) (pow.f64 beta #s(literal 3 binary64))))
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
(/ beta alpha)
(/.f64 beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) alpha)) beta)
beta
(* beta (+ 1 (/ 1 beta)))
(-.f64 beta #s(literal -1 binary64))
(- (+ 1 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) alpha) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))))) beta)) beta))
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)))) beta))
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) alpha) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))))) 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 alpha #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) 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 alpha #s(literal -2 binary64)) #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))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) beta))

rewrite134.0ms (1.4%)

Memory

52.0MiB live, 139.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	247
0	63	239
1	301	221
0	2651	213

Stop Event

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

Counts

19 → 215

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) (fma.f64 alpha alpha #s(literal -4 binary64))) (+.f64 #s(literal -2 binary64) alpha))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 alpha alpha (fma.f64 #s(literal -2 binary64) alpha #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64))) (/.f64 (-.f64 (-.f64 alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 alpha #s(literal -2 binary64)) alpha) (-.f64 alpha #s(literal -2 binary64))))
(.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 alpha #s(literal -2 binary64)) alpha) (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (-.f64 (-.f64 alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) (-.f64 alpha #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64)))) (neg.f64 (-.f64 alpha #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (-.f64 (-.f64 alpha #s(literal -2 binary64)) alpha))) (neg.f64 (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) (-.f64 alpha #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 alpha alpha) #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (-.f64 alpha #s(literal -2 binary64)) alpha)) (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 alpha #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (-.f64 alpha #s(literal -2 binary64)) alpha)) (pow.f64 (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal -2 binary64) (-.f64 (-.f64 alpha #s(literal -2 binary64)) alpha)) (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 (-.f64 alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (-.f64 (-.f64 alpha #s(literal -2 binary64)) alpha)) (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))
(neg.f64 (/.f64 (.f64 (-.f64 (-.f64 alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64))))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) alpha) (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) alpha) (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64))) (/.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) alpha) (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) alpha) (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (/.f64 (.f64 #s(literal -2 binary64) alpha) (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha #s(literal -2 binary64)) (-.f64 alpha #s(literal -2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) alpha) (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) alpha) (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 (-.f64 alpha #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) alpha) (*.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 alpha #s(literal -2 binary64)) (.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) alpha) (*.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 beta beta) (-.f64 #s(literal 1/4 binary64) (.f64 beta #s(literal 1/8 binary64))))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 beta beta) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) beta) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (*.f64 beta #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 beta beta) (-.f64 #s(literal 1/4 binary64) (.f64 beta #s(literal 1/8 binary64)))))
(fma.f64 (*.f64 beta #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 beta beta)) (-.f64 (.f64 #s(literal 1/4 binary64) beta) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) beta) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) beta))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 beta) #s(literal 1/4 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 beta beta) (-.f64 #s(literal 1/4 binary64) (.f64 beta #s(literal 1/8 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 beta beta) (-.f64 #s(literal 1/4 binary64) (*.f64 beta #s(literal 1/8 binary64))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) beta) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha))
(fma.f64 alpha (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))) alpha))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 alpha) (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 alpha alpha) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) alpha) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/32 binary64) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 alpha alpha) #s(literal -1/16 binary64)) (fma.f64 #s(literal 1/8 binary64) alpha #s(literal 1/4 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) alpha) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/32 binary64) #s(literal 1/16 binary64))))
(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))
(fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 alpha alpha)) (fma.f64 #s(literal 1/8 binary64) alpha #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) alpha #s(literal 1/4 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) alpha) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/32 binary64) #s(literal 1/16 binary64)))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/32 binary64) #s(literal 1/16 binary64)))))
(-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal -1/4 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha))
(/.f64 (-.f64 (.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 alpha #s(literal -1 binary64))) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (-.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha)))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64))) (fma.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 alpha #s(literal -1 binary64)) (-.f64 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 beta #s(literal -1 binary64)))) (neg.f64 (neg.f64 alpha)))
(/.f64 (fma.f64 #s(literal 1 binary64) alpha (.f64 beta alpha)) (.f64 alpha alpha))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (-.f64 #s(literal 1 binary64) beta) alpha))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)) alpha))
(/.f64 (neg.f64 (-.f64 beta #s(literal -1 binary64))) (neg.f64 alpha))
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)
(neg.f64 (/.f64 (neg.f64 (-.f64 beta #s(literal -1 binary64))) alpha))
(neg.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) (neg.f64 alpha)))
(fma.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (pow.f64 alpha #s(literal -1 binary64)))
(+.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha))
(/.f64 (-.f64 (*.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta))) (neg.f64 (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) (-.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 beta beta (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) beta)
(fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64))) beta)
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64))) (/.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) beta)
(fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64) beta)
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) beta)
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha #s(literal -2 binary64)) (-.f64 alpha #s(literal -2 binary64))) beta)
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) beta)
(fma.f64 #s(literal 1 binary64) beta #s(literal 1 binary64))
(fma.f64 beta #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 alpha #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) beta)
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 alpha #s(literal -2 binary64)) (*.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) beta)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) (/.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)))
(-.f64 beta #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) beta)
(+.f64 beta #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 alpha #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) alpha)
(/.f64 (-.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (-.f64 alpha alpha))
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha alpha (-.f64 (.f64 alpha alpha) (.f64 alpha alpha))))
(fma.f64 #s(literal 1 binary64) alpha (*.f64 #s(literal 1 binary64) alpha))
(fma.f64 alpha #s(literal 1 binary64) (*.f64 alpha #s(literal 1 binary64)))
(+.f64 (.f64 alpha #s(literal 1 binary64)) (.f64 alpha #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) alpha) (.f64 #s(literal 1 binary64) alpha))
(+.f64 alpha alpha)
(*.f64 #s(literal 1/8 binary64) alpha)
(*.f64 alpha #s(literal 1/8 binary64))

eval88.0ms (0.9%)

Memory: -43.4MiB live, 65.0MiB allocated; 15ms collecting garbage
Compiler: Compiled 13 144 to 1 665 computations (87.3% saved)

prune19.0ms (0.2%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	339	7	346
Fresh	2	4	6
Picked	2	3	5
Done	0	6	6
Total	343	20	363

Accuracy

100.0%

Counts

363 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.2%	(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))
✓	4.0%	(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
✓	69.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	15.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (.f64 beta alpha)) (.f64 alpha alpha)))
✓	32.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
✓	29.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)))
	32.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))))
	69.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (/.f64 #s(approx (- ( 2 (- alpha -2)) (* 2 alpha)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
	10.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
	41.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
✓	42.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
	4.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
	44.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (/ (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
	45.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (/ (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
	44.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (/ (- (* 2 (- alpha -2)) (* 2 alpha)) (* 2 (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
✓	27.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
✓	46.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)))
✓	36.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	46.9%	#s(approx (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))))
	31.7%	#s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/.f64 (fma.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))) alpha)) #s(literal -1/2 binary64) (.f64 (-.f64 beta (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) alpha))

Compiler

Compiled 1 460 to 585 computations (59.9% saved)

regimes54.0ms (0.6%)

Memory

-15.0MiB live, 74.8MiB allocated; 8ms collecting garbage

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

10.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
9.0ms	beta
9.0ms	alpha
7.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
95.9%	2	`alpha`
93.3%	2	`beta`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes26.0ms (0.3%)

Memory

-10.3MiB live, 42.1MiB allocated; 10ms collecting garbage

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

12.0ms

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

7.0ms

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

6.0ms

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

Results

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

regimes19.0ms (0.2%)

Memory

-6.3MiB live, 40.4MiB allocated; 3ms collecting garbage

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
98.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
98.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.9%	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)

regimes14.0ms (0.1%)

Memory

34.8MiB live, 34.8MiB allocated; 0ms collecting garbage

Counts

20 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
98.7%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
98.7%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.7%	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)

regimes25.0ms (0.3%)

Memory

-21.0MiB live, 24.9MiB allocated; 3ms collecting garbage

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

16.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
98.5%	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)

regimes12.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms

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

4.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
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)

regimes39.0ms (0.4%)

Memory

-9.2MiB live, 37.6MiB allocated; 2ms collecting garbage

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

23.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
4.0ms	alpha
4.0ms	beta
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
69.1%	2	`beta`
69.3%	2	`alpha`
92.2%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
92.2%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.2%	3	`(/.f64 (+.f64 (/.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)

regimes48.0ms (0.5%)

Memory

-42.4MiB live, 22.3MiB allocated; 20ms collecting garbage

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
91.8%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
91.8%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.8%	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)

regimes35.0ms (0.4%)

Memory

36.2MiB live, 36.2MiB allocated; 0ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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
91.7%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
91.7%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.7%	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)

regimes41.0ms (0.4%)

Memory

-29.6MiB live, 14.6MiB allocated; 3ms collecting garbage

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

Outputs

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

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

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

Calls

3 calls:

34.0ms

(/.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
91.6%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
91.6%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.6%	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 (0.1%)

Memory

28.0MiB live, 28.0MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

3.0ms	alpha
3.0ms	beta
2.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
68.5%	2	`beta`
50.7%	2	`alpha`
68.4%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
68.4%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
68.4%	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 35 to 30 computations (14.3% saved)

regimes205.0ms (2.1%)

Memory

-24.4MiB live, 20.2MiB allocated; 4ms collecting garbage

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

Outputs

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

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

Calls

4 calls:

198.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms	beta
2.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
68.0%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
68.0%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
68.0%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
68.0%	2	`beta`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes5.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

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	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
36.2%	1	`alpha`
36.2%	1	`beta`
36.2%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
36.2%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
36.2%	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

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7927881401647028e-12	4.363240143911984e-6

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7927881401647028e-12	4.363240143911984e-6

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.363240143911984e-6	0.4990824561528462

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000050810138748	0.9991646678269502
0.0ms	1.7927881401647028e-12	4.363240143911984e-6

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000050810138748	0.9991646678269502
0.0ms	4.363240143911984e-6	0.4990824561528462

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000050810138748	0.9991646678269502
0.0ms	4.363240143911984e-6	0.4990824561528462

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000050810138748	0.9991646678269502
0.0ms	4.363240143911984e-6	0.4990824561528462

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000050810138748	0.9991646678269502
0.0ms	4.363240143911984e-6	0.4990824561528462

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000050810138748	0.9991646678269502
0.0ms	4.363240143911984e-6	0.4990824561528462

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000050810138748	0.9991646678269502
0.0ms	4.363240143911984e-6	0.4990824561528462

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch26.0ms (0.3%)

Memory

13.0MiB live, 55.9MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.8119820062360598	1195.1285582705011

Samples

10.0ms	31×	2	valid
4.0ms	73×	0	valid
3.0ms	24×	1	valid

Compiler

Compiled 360 to 295 computations (18.1% saved)

Precisions

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

adjust: 4.0ms (28.3% of total)

ival-sub: 4.0ms (28.3% of total)

ival-div: 3.0ms (21.2% of total)

ival-add: 3.0ms (21.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.5000050810138748	0.9991646678269502

Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify72.0ms (0.7%)

Memory

-23.1MiB live, 75.9MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1025
1	159	1025
2	258	1025
3	568	1025
4	3384	1025

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 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/.f64 (fma.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))) alpha)) #s(literal -1/2 binary64) (.f64 (-.f64 beta (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) alpha)) (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 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 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 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 5902958103587057/1180591620717411303424 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 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #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 4951760157141521/2475880078570760549798248448 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 5404319552844595/9007199254740992 binary64)) #s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) 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 5902958103587057/1180591620717411303424 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 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) 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 5902958103587057/1180591620717411303424 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 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) 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 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) 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 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha 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 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) 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 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) 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 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/.f64 (fma.f64 (.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))) alpha)) #s(literal -1/2 binary64) (.f64 (-.f64 beta (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) alpha)) (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 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 4951760157141521/2475880078570760549798248448 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 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 5902958103587057/1180591620717411303424 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 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #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 4951760157141521/2475880078570760549798248448 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 5404319552844595/9007199254740992 binary64)) #s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) 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 5902958103587057/1180591620717411303424 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 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) 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 5902958103587057/1180591620717411303424 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 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) 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 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (pow.f64 alpha #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 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) 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 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha 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 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (pow.f64 alpha #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 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha 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 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) 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 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (pow.f64 alpha #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 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) 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 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (pow.f64 alpha #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 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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))

derivations998.0ms (10.1%)

Memory

-16.4MiB live, 656.4MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	191
0	55	184
1	250	177
0	2310	170
0	10	44
0	16	44
1	85	44
0	694	44
0	433	2177
1	1507	2025
2	6749	1937
0	9027	1843
0	1086	7639
1	3836	7456
0	8477	6835
0	671	3177
1	2259	2881
0	8561	2598

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×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 1 025 to 114 computations (88.9% saved)

preprocess130.0ms (1.3%)

Memory: 2.0MiB live, 146.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 2 076 to 248 computations (88.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze28.0ms (0.3%)

sample1.7s (17.2%)

explain197.0ms (2%)

preprocess437.0ms (4.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify459.0ms (4.7%)

localize44.0ms (0.4%)

series12.0ms (0.1%)

simplify287.0ms (2.9%)

rewrite63.0ms (0.6%)

eval45.0ms (0.5%)

prune17.0ms (0.2%)

simplify532.0ms (5.4%)

localize385.0ms (3.9%)

series45.0ms (0.5%)

simplify373.0ms (3.8%)

rewrite95.0ms (1%)

eval84.0ms (0.9%)

prune25.0ms (0.3%)

simplify1.3s (13.5%)

localize115.0ms (1.2%)

series17.0ms (0.2%)

simplify201.0ms (2%)

rewrite83.0ms (0.8%)

eval104.0ms (1.1%)

prune13.0ms (0.1%)

simplify243.0ms (2.5%)

localize161.0ms (1.6%)

series17.0ms (0.2%)

simplify745.0ms (7.6%)

rewrite134.0ms (1.4%)

eval88.0ms (0.9%)

prune19.0ms (0.2%)

regimes54.0ms (0.6%)

regimes26.0ms (0.3%)

regimes19.0ms (0.2%)

regimes14.0ms (0.1%)

regimes25.0ms (0.3%)

regimes12.0ms (0.1%)

regimes39.0ms (0.4%)

regimes48.0ms (0.5%)

regimes35.0ms (0.4%)

regimes41.0ms (0.4%)

regimes13.0ms (0.1%)

regimes205.0ms (2.1%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch26.0ms (0.3%)

bsearch0.0ms (0%)

simplify72.0ms (0.7%)

derivations998.0ms (10.1%)

preprocess130.0ms (1.3%)

end0.0ms (0%)

Profiling