Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	56.2%	43.8%	0%	0%	0%	0
0%	0%	56.2%	43.8%	0%	0%	0%	1
50%	28.1%	28.1%	43.8%	0%	0%	0%	2
75%	42.1%	14%	43.8%	0%	0%	0%	3
87.5%	49.2%	7%	43.8%	0%	0%	0%	4
93.8%	52.7%	3.5%	43.8%	0%	0%	0%	5
96.9%	54.4%	1.8%	43.8%	0%	0%	0%	6
98.4%	55.3%	0.9%	43.8%	0%	0%	0%	7
99.2%	55.7%	0.4%	43.8%	0%	0%	0%	8
99.6%	56%	0.2%	43.8%	0%	0%	0%	9
99.8%	56.1%	0.1%	43.8%	0%	0%	0%	10
99.9%	56.1%	0.1%	43.8%	0%	0%	0%	11
100%	56.1%	0%	43.8%	0%	0%	0%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample1.4s (18.2%)

Memory

56.8MiB live, 1 890.7MiB allocated

Samples

623.0ms	6 024×	0	valid
251.0ms	1 501×	1	valid
182.0ms	731×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 779.0ms

ival-add: 298.0ms (38.2% of total)

ival-div: 152.0ms (19.5% of total)

adjust: 140.0ms (18% of total)

ival-sub: 121.0ms (15.5% of total)

ival->: 39.0ms (5% of total)

exact: 14.0ms (1.8% of total)

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

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

Bogosity

explain228.0ms (2.9%)

Memory

-34.3MiB live, 328.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
84	1	(3.2440992974387075e+210 1.4713878923314415e+208)	-	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	0	-	-	`beta`
0	0	-	-	`(+.f64 alpha beta)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	0	-	-	`alpha`
0	0	-	-	`(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
0	0	-	-	`(-.f64 beta alpha)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`	cancellation	85	0

Confusion

	Predicted +	Predicted -
+	84	0
-	1	171

Precision

0.9882352941176471

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	84	0	0
-	1	0	171

Precision?

0.9882352941176471

Recall?

1.0

Freqs

test

number	freq
0	171
1	85

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

72.0ms	102×	1	valid
31.0ms	56×	2	valid
25.0ms	354×	0	valid

Compiler

Compiled 161 to 44 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-div: 39.0ms (44.6% of total)

ival-sub: 32.0ms (36.6% of total)

ival-add: 10.0ms (11.4% of total)

adjust: 5.0ms (5.7% of total)

exact: 1.0ms (1.1% of total)

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

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

preprocess207.0ms (2.6%)

Memory

21.2MiB live, 174.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	71
1	82	67
2	234	67
3	690	65
4	2203	65
5	5647	65
0	10	13
0	16	13
1	33	13
2	58	13
3	108	13
4	246	13
5	650	13
6	1807	13
7	4001	13
8	5504	13
9	5814	13
10	6380	13
0	8047	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))

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Memory

-36.1MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.1%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify190.0ms (2.4%)

Memory

19.9MiB live, 175.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
0	16	48
1	33	48
2	58	48
3	108	48
4	246	48
5	650	48
6	1807	48
7	4001	48
8	5504	48
9	5814	48
10	6380	48
0	8047	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))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.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)

localize36.0ms (0.5%)

Memory

7.7MiB live, 83.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0.0	(+.f64 alpha beta)
accuracy	0.029628759768442016	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	19.147210587752205	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

14.0ms	177×	0	valid
9.0ms	51×	1	valid
6.0ms	28×	2	valid

Compiler

Compiled 98 to 22 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-add: 6.0ms (36.9% of total)

ival-div: 5.0ms (30.8% of total)

adjust: 3.0ms (18.5% of total)

ival-sub: 2.0ms (12.3% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

-13.1MiB live, 29.4MiB allocated

Counts

6 → 87

Calls

Call 1

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

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

Calls

6 calls:

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

simplify259.0ms (3.3%)

Memory

13.0MiB live, 219.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2175
1	1576	1991
2	6672	1905
0	9249	1803

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 85

Calls

Call 1

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

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

rewrite217.0ms (2.7%)

Memory

1.0MiB live, 285.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	16	44
1	95	44
2	815	44
0	8428	43

Stop Event

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

Counts

6 → 463

Calls

Call 1

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

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

eval110.0ms (1.4%)

Memory: 6.8MiB live, 161.7MiB allocated
Compiler: Compiled 17 833 to 2 484 computations (86.1% saved)

prune19.0ms (0.2%)

Memory

-8.6MiB live, 64.4MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	532	13	545
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	533	13	546

Accuracy

99.9%

Counts

546 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.1%	(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
▶	69.6%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	70.9%	(/.f64 (-.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))) #s(literal 2 binary64))
▶	59.5%	(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	33.4%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)) #s(literal 2 binary64))
	70.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
▶	67.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	28.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
	32.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
	32.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
	34.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	45.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
▶	35.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 574 to 402 computations (30% saved)

simplify135.0ms (1.7%)

Memory

-4.7MiB live, 120.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff	0	(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff	1	(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	4	(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (*.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))
cost-diff	1	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
cost-diff	0	(+.f64 #s(literal 2 binary64) beta)
cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
cost-diff	0	(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	1	(/.f64 (-.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))) #s(literal 2 binary64))
cost-diff	6	(-.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	269
0	58	252
1	108	246
2	206	246
3	511	246
4	1493	230
5	3581	230
6	6123	230
7	7872	230
0	8021	228

Stop Event

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

Calls

Call 1

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

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

localize159.0ms (2%)

Memory

26.0MiB live, 209.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha))
accuracy	0.029628759768442016	(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	6.577564176424007	(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
accuracy	19.147210587752205	(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #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	0.00390625	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
accuracy	19.464776923927737	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
accuracy	0.0	(+.f64 #s(literal 2 binary64) beta)
accuracy	0.01171875	(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.015625	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
accuracy	21.087554979562803	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	41.534156216594944	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0.015625	(-.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)))
accuracy	0.0234375	(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	0.02734375	(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	19.13140840035015	(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))

Samples

57.0ms	28×	2	valid
56.0ms	175×	0	valid
23.0ms	53×	1	valid

Compiler

Compiled 499 to 67 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-add: 41.0ms (49.3% of total)

ival-div: 21.0ms (25.3% of total)

adjust: 7.0ms (8.4% of total)

ival-mult: 7.0ms (8.4% of total)

ival-sub: 6.0ms (7.2% of total)

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

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

exact: 0.0ms (0% of total)

series68.0ms (0.9%)

Memory

-24.3MiB live, 62.8MiB allocated

Counts

20 → 214

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	alpha	@	-inf	((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (/ 1 (* (+ 2 (+ alpha beta)) 2)) (* (+ 2 (+ alpha beta)) 2) (+ (* (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2))) 1/2) (- beta alpha) (* (- (/ beta alpha) 1) alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (- beta alpha))
22.0ms	beta	@	-inf	((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (/ 1 (* (+ 2 (+ alpha beta)) 2)) (* (+ 2 (+ alpha beta)) 2) (+ (* (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2))) 1/2) (- beta alpha) (* (- (/ beta alpha) 1) alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (- beta alpha))
4.0ms	beta	@	inf	((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (/ 1 (* (+ 2 (+ alpha beta)) 2)) (* (+ 2 (+ alpha beta)) 2) (+ (* (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2))) 1/2) (- beta alpha) (* (- (/ beta alpha) 1) alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (- beta alpha))
3.0ms	alpha	@	inf	((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (/ 1 (* (+ 2 (+ alpha beta)) 2)) (* (+ 2 (+ alpha beta)) 2) (+ (* (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2))) 1/2) (- beta alpha) (* (- (/ beta alpha) 1) alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (- beta alpha))
3.0ms	alpha	@	0	((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (/ 1 (* (+ 2 (+ alpha beta)) 2)) (* (+ 2 (+ alpha beta)) 2) (+ (* (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2))) 1/2) (- beta alpha) (* (- (/ beta alpha) 1) alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (- beta alpha))

simplify234.0ms (3%)

Memory

21.5MiB live, 174.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	964	4840
1	3518	4585
0	8498	4389

Stop Event

1×	iter limit
1×	node limit

Counts

214 → 212

Calls

Call 1

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

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

rewrite218.0ms (2.7%)

Memory

-7.8MiB live, 166.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	225
0	58	212
1	301	206
2	2698	206
0	8685	204

Stop Event

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

Counts

20 → 739

Calls

Call 1

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

Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 beta) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))) (neg.f64 (*.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 beta) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))) (neg.f64 (*.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))) (neg.f64 (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))) (neg.f64 (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))) (neg.f64 (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 beta (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))) (neg.f64 (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (neg.f64 beta) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (neg.f64 beta) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 beta (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))))
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(fma.f64 (/.f64 alpha (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))
(fma.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 alpha #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) alpha #s(literal -1 binary64))
(fma.f64 (neg.f64 alpha) (pow.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 alpha (*.f64 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 alpha (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(+.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 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 alpha (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 alpha #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) alpha)
(*.f64 (neg.f64 alpha) (pow.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 alpha (.f64 (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 alpha (pow.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 alpha))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 alpha) #s(literal 1 binary64))) (neg.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 alpha #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 alpha) #s(literal 1 binary64)) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (*.f64 alpha #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (neg.f64 alpha) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha))
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(neg.f64 (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha)) #s(literal -1 binary64)))
#s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha))

eval244.0ms (3.1%)

Memory: 11.9MiB live, 166.2MiB allocated
Compiler: Compiled 30 909 to 3 766 computations (87.8% saved)

prune66.0ms (0.8%)

Memory

-11.6MiB live, 62.7MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	935	16	951
Fresh	3	5	8
Picked	4	1	5
Done	0	0	0
Total	942	22	964

Accuracy

99.9%

Counts

964 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.1%	(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
	59.5%	(fma.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	69.6%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64))
	60.7%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64))
▶	66.4%	(fma.f64 (-.f64 beta alpha) #s(approx (/ 1 (* (+ 2 (+ alpha beta)) 2)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
	42.6%	(fma.f64 (-.f64 beta alpha) #s(approx (/ 1 (* (+ 2 (+ alpha beta)) 2)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
	70.8%	(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) #s(literal 2 binary64))
▶	70.9%	(-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	33.4%	#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)))) alpha))
	56.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) beta) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (-.f64 #s(literal 2 binary64) beta) #s(literal 1/2 binary64)))
	67.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	28.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
	32.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
▶	32.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
	34.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
▶	40.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
	39.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
	41.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
	28.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
▶	44.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	35.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	45.8%	#s(approx (+ (* (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2))) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

Compiler

Compiled 1 107 to 758 computations (31.5% saved)

simplify199.0ms (2.5%)

Memory

-4.3MiB live, 112.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)
cost-diff	0	(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
cost-diff	3	(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))
cost-diff	0	#s(approx (/ 1 (* (+ 2 (+ alpha beta)) 2)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(fma.f64 (-.f64 beta alpha) #s(approx (/ 1 (* (+ 2 (+ alpha beta)) 2)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))
cost-diff	0	(/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))
cost-diff	1	(*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff	7	(-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	339
0	81	339
1	152	332
2	372	332
3	1316	318
4	5996	317
0	8053	310

Stop Event

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

Calls

Call 1

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

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

localize283.0ms (3.6%)

Memory

-9.6MiB live, 230.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
accuracy	0.28001614602984126	(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
accuracy	1.4849174408892223	(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)
accuracy	42.62769674000716	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
accuracy	0.0	(+.f64 #s(literal 2 binary64) beta)
accuracy	0.01171875	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))
accuracy	19.464776923927737	(fma.f64 (-.f64 beta alpha) #s(approx (/ 1 (* (+ 2 (+ alpha beta)) 2)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
accuracy	21.083516401311808	#s(approx (/ 1 (* (+ 2 (+ alpha beta)) 2)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))
accuracy	0.0	(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64))
accuracy	0.046875	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
accuracy	20.803101826167165	#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
accuracy	21.087554979562803	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
accuracy	18.087932717700802	#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))
accuracy	21.087554979562803	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
accuracy	0.015625	(-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
accuracy	0.0234375	(/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))
accuracy	0.02734375	(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	19.13140840035015	(-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

108.0ms	175×	0	valid
104.0ms	28×	2	valid
29.0ms	53×	1	valid

Compiler

Compiled 621 to 104 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-mult: 84.0ms (47.3% of total)

ival-add: 48.0ms (27% of total)

adjust: 22.0ms (12.4% of total)

ival-div: 17.0ms (9.6% of total)

ival-sub: 6.0ms (3.4% of total)

exact: 1.0ms (0.6% of total)

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

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

series55.0ms (0.7%)

Memory

-8.6MiB live, 42.0MiB allocated

Counts

23 → 257

Calls

Call 1

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

Outputs
(+ 1/2 (/ beta (+ 4 (* 2 beta))))
(+ 1/2 (+ (* -1 (* alpha (+ (* 1/2 (/ 1 (+ 2 beta))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2)))))) (/ beta (+ 4 (* 2 beta)))))
(+ 1/2 (+ (* alpha (- (* alpha (- (* 1/2 (/ 1 (pow (+ 2 beta) 2))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 1/2 (/ 1 (+ 2 beta))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2)))))) (/ beta (+ 4 (* 2 beta)))))
(+ 1/2 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 1/2 (/ 1 (pow (+ 2 beta) 3))) (* 8 (/ beta (pow (+ 4 (* 2 beta)) 4)))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2)))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 1/2 (/ 1 (+ 2 beta))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2)))))) (/ beta (+ 4 (* 2 beta)))))
-1/2
(- (* 1/2 (/ alpha (+ 2 beta))) 1/2)
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2)
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2)
(/ beta (+ 4 (* 2 beta)))
(+ (* -2 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 2))) (/ beta (+ 4 (* 2 beta))))
(+ (* alpha (- (* 4 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))))) (/ beta (+ 4 (* 2 beta))))
(+ (* alpha (- (* alpha (- (* -8 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 4))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))))) (/ beta (+ 4 (* 2 beta))))
(+ 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 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
beta
(+ beta (* -1 alpha))
(/ 1/2 (+ 2 beta))
(+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))
(+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
-1
(- (/ alpha (+ 2 beta)) 1)
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(/ alpha (+ 2 beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(/ (- (* 1/2 beta) (* -1/2 (+ 2 beta))) alpha)
(/ (- (+ (* -1 (/ (+ (* 1/4 (* beta (+ 4 (* 2 beta)))) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 beta)) (* -1/2 (+ 2 beta))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1/2 (pow (+ 2 beta) 3)) (* -1/8 (* beta (pow (+ 4 (* 2 beta)) 2)))) (pow alpha 2))) (* 1/2 beta)) (+ (* -1/2 (+ 2 beta)) (+ (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (+ (* -1 (/ (+ (* 1/16 (* beta (pow (+ 4 (* 2 beta)) 3))) (* 1/2 (pow (+ 2 beta) 4))) (pow alpha 3))) (* 1/2 beta)) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (+ (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))))) alpha)
(* -1/2 (/ (+ 2 beta) alpha))
(/ (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))) alpha)
(/ (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
(/ (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3)))))) alpha)
(* 1/2 (/ beta alpha))
(/ (+ (* -1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)) (* 1/2 beta)) alpha)
(/ (- (+ (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/2 beta)) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha)
(/ (- (+ (* -1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/2 beta)) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha)
(* 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 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(/ 1/2 alpha)
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
1
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* -1 (/ (- (* -1/2 beta) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1/2 beta) (+ (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha)) (* 1/2 (/ (pow (+ 2 beta) 3) alpha))) (+ (* 1/4 (* beta (+ 4 (* 2 beta)))) (* 1/2 (pow (+ 2 beta) 2)))) alpha)) (* -1/2 beta)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) alpha))) (+ (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2))) (* 1/2 (pow (+ 2 beta) 3)))) alpha)) (+ (* 1/4 (* beta (+ 4 (* 2 beta)))) (* 1/2 (pow (+ 2 beta) 2)))) alpha)) (* -1/2 beta)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (+ 2 beta) 4) alpha)) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 beta) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha)) (* 1/4 (* beta (+ 4 (* 2 beta))))) alpha)) (* -1/2 beta)) alpha))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha)) (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2)))) alpha)) (* 1/4 (* beta (+ 4 (* 2 beta))))) alpha)) (* -1/2 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 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))
(* -1/2 (- (/ alpha (+ 2 alpha)) 1))
(- (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(- (* beta (- (+ (* -1 (* beta (+ (* 1/2 (/ alpha (pow (+ 2 alpha) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2)))))) (/ 1 (+ 4 (* 2 alpha)))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(- (* beta (- (+ (* beta (- (* beta (- (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3))) (* -1/2 (/ alpha (pow (+ 2 alpha) 4))))) (+ (* 1/2 (/ alpha (pow (+ 2 alpha) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2)))))) (/ 1 (+ 4 (* 2 alpha)))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(* 1/2 (- (/ alpha (+ 2 alpha)) 1))
(+ (* -1/2 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(+ (* 1/2 (- (/ alpha (+ 2 alpha)) 1)) (* beta (+ (* -1/2 (/ alpha (pow (+ 2 alpha) 2))) (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 3))))))
(+ (* 1/2 (- (/ alpha (+ 2 alpha)) 1)) (* beta (+ (* -1/2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (+ (* -1/2 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3))))))))
(/ beta (+ 4 (* 2 alpha)))
(* beta (+ (* -2 (/ beta (pow (+ 4 (* 2 alpha)) 2))) (/ 1 (+ 4 (* 2 alpha)))))
(* beta (+ (* beta (- (* 4 (/ beta (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha)))))
(* beta (+ (* beta (- (* beta (+ (* -8 (/ beta (pow (+ 4 (* 2 alpha)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3))))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 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)))))))))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1/4
(+ 1/4 (* -1/8 beta))
(+ 1/4 (* beta (- (* 1/16 beta) 1/8)))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(- beta alpha)
(/ 1/2 (+ 2 alpha))
(+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha))))
(+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(+ (* beta (- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(+ 1/4 (* beta (- (* beta (+ 1/16 (* -1/32 beta))) 1/8)))
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(/ -4 alpha)
(- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(- (/ alpha (+ 2 alpha)) 1)
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(/ alpha (+ 2 alpha))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
-1/8
(- (* 1/16 beta) 1/8)
2
(+ 2 beta)
-4
(- (* -6 beta) 4)
(- (* beta (- (* -2 beta) 6)) 4)
(+ 1 (* -1 (/ (+ (* 1/4 (+ 4 (* 2 alpha))) (* 1/2 alpha)) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/2 (* alpha (+ 2 alpha))) (* -1/8 (pow (+ 4 (* 2 alpha)) 2))) (pow beta 2)))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta))))
(- (+ 1 (* -1 (/ (+ (* 1/16 (pow (+ 4 (* 2 alpha)) 3)) (* 1/2 (* alpha (pow (+ 2 alpha) 2)))) (pow beta 3)))) (+ (* -1/2 (/ (* alpha (+ 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))))))
(- (* 1/2 (/ alpha beta)) 1/2)
(- (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (* 1/2 (/ alpha beta))) 1/2)
(- (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))))) 1/2)
(+ 1/2 (* -1/4 (/ (+ 4 (* 2 alpha)) beta)))
(- (+ 1/2 (* 1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2)))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta)))
(- (+ 1/2 (* -1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (* 1/4 (/ (+ 4 (* 2 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 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(* 1/16 (pow beta 3))
(* (pow beta 3) (- 1/16 (* 1/8 (/ 1 beta))))
(* (pow beta 3) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta))))
(* (pow beta 3) (- (+ 1/16 (+ (/ 1/4 (pow beta 2)) (* 1/2 (/ 1 (pow beta 3))))) (* 1/8 (/ 1 beta))))
(* 1/16 (pow beta 2))
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta))))
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 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)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(/ 1/2 beta)
(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta)
(/ (- 1/2 (/ 1 beta)) beta)
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (/ 1 beta)) beta)
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) beta)
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* -2 (/ (pow beta 2) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(- (/ alpha beta) 1)
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
(/ alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)
(* 1/16 beta)
(* beta (- 1/16 (* 1/8 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* -2 (pow beta 2))
(* -1 (* (pow beta 2) (+ 2 (* 6 (/ 1 beta)))))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
(+ 1 (* -1 (/ (- (* 1/4 (+ 4 (* 2 alpha))) (* -1/2 alpha)) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (+ 4 (* 2 alpha)) 2)) (* -1/2 (* alpha (+ 2 alpha)))) beta)) (* 1/4 (+ 4 (* 2 alpha)))) (* -1/2 alpha)) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (pow (+ 4 (* 2 alpha)) 3)) (* -1/2 (* alpha (pow (+ 2 alpha) 2)))) beta)) (* 1/8 (pow (+ 4 (* 2 alpha)) 2))) (* -1/2 (* alpha (+ 2 alpha)))) beta)) (* 1/4 (+ 4 (* 2 alpha)))) (* -1/2 alpha)) beta)))
(- (* -1 (/ (+ (* -1/2 alpha) (* 1/2 (/ (* alpha (+ 2 alpha)) beta))) beta)) 1/2)
(- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* alpha (+ 2 alpha))) (* 1/2 (/ (* alpha (pow (+ 2 alpha) 2)) beta))) beta)) (* -1/2 alpha)) beta)) 1/2)
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) beta)) (* -1/4 (+ 4 (* 2 alpha)))) beta)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (pow (+ 4 (* 2 alpha)) 3) beta)) (* -1/8 (pow (+ 4 (* 2 alpha)) 2))) beta)) (* -1/4 (+ 4 (* 2 alpha)))) beta)))
(* -1 (* beta (- (* -1 (/ (+ 4 (* 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 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(* -1 (* (pow beta 3) (- (* 1/8 (/ 1 beta)) 1/16)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/8) beta)) 1/16)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8) beta)) 1/16)))
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta))))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(* -1 (/ (- (/ 1 beta) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 beta)) 1) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1) beta)) 1/2) beta))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16)))

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	beta	@	-inf	((- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2) (/ beta (+ (* (+ alpha beta) 2) 4)) (+ (* (+ alpha beta) 2) 4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) beta) 1/2) (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) (+ (* (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2))) 1/2) (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2)) (/ 1/2 (+ 2 beta)) (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) alpha) (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) (- (/ alpha (+ (+ alpha beta) 2)) 1) (/ alpha (+ (+ alpha beta) 2)) (+ (* 1/16 beta) -1/8) (+ 2 beta) (* (- -2 beta) (+ (* 2 beta) 2)))
8.0ms	beta	@	inf	((- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2) (/ beta (+ (* (+ alpha beta) 2) 4)) (+ (* (+ alpha beta) 2) 4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) beta) 1/2) (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) (+ (* (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2))) 1/2) (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2)) (/ 1/2 (+ 2 beta)) (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) alpha) (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) (- (/ alpha (+ (+ alpha beta) 2)) 1) (/ alpha (+ (+ alpha beta) 2)) (+ (* 1/16 beta) -1/8) (+ 2 beta) (* (- -2 beta) (+ (* 2 beta) 2)))
5.0ms	alpha	@	-inf	((- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2) (/ beta (+ (* (+ alpha beta) 2) 4)) (+ (* (+ alpha beta) 2) 4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) beta) 1/2) (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) (+ (* (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2))) 1/2) (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2)) (/ 1/2 (+ 2 beta)) (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) alpha) (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) (- (/ alpha (+ (+ alpha beta) 2)) 1) (/ alpha (+ (+ alpha beta) 2)) (+ (* 1/16 beta) -1/8) (+ 2 beta) (* (- -2 beta) (+ (* 2 beta) 2)))
4.0ms	alpha	@	0	((- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2) (/ beta (+ (* (+ alpha beta) 2) 4)) (+ (* (+ alpha beta) 2) 4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) beta) 1/2) (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) (+ (* (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2))) 1/2) (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2)) (/ 1/2 (+ 2 beta)) (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) alpha) (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) (- (/ alpha (+ (+ alpha beta) 2)) 1) (/ alpha (+ (+ alpha beta) 2)) (+ (* 1/16 beta) -1/8) (+ 2 beta) (* (- -2 beta) (+ (* 2 beta) 2)))
3.0ms	alpha	@	inf	((- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2) (/ beta (+ (* (+ alpha beta) 2) 4)) (+ (* (+ alpha beta) 2) 4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) beta) 1/2) (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) (+ (* (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2))) 1/2) (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2)) (/ 1/2 (+ 2 beta)) (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) alpha) (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) (- (/ alpha (+ (+ alpha beta) 2)) 1) (/ alpha (+ (+ alpha beta) 2)) (+ (* 1/16 beta) -1/8) (+ 2 beta) (* (- -2 beta) (+ (* 2 beta) 2)))

simplify250.0ms (3.2%)

Memory

33.8MiB live, 193.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1208	5605
1	4206	5449
0	8688	5101

Stop Event

1×	iter limit
1×	node limit

Counts

257 → 256

Calls

Call 1

Inputs
(+ 1/2 (/ beta (+ 4 (* 2 beta))))
(+ 1/2 (+ (* -1 (* alpha (+ (* 1/2 (/ 1 (+ 2 beta))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2)))))) (/ beta (+ 4 (* 2 beta)))))
(+ 1/2 (+ (* alpha (- (* alpha (- (* 1/2 (/ 1 (pow (+ 2 beta) 2))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 1/2 (/ 1 (+ 2 beta))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2)))))) (/ beta (+ 4 (* 2 beta)))))
(+ 1/2 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 1/2 (/ 1 (pow (+ 2 beta) 3))) (* 8 (/ beta (pow (+ 4 (* 2 beta)) 4)))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2)))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 1/2 (/ 1 (+ 2 beta))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2)))))) (/ beta (+ 4 (* 2 beta)))))
-1/2
(- (* 1/2 (/ alpha (+ 2 beta))) 1/2)
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2)
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2)
(/ beta (+ 4 (* 2 beta)))
(+ (* -2 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 2))) (/ beta (+ 4 (* 2 beta))))
(+ (* alpha (- (* 4 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))))) (/ beta (+ 4 (* 2 beta))))
(+ (* alpha (- (* alpha (- (* -8 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 4))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))))) (/ beta (+ 4 (* 2 beta))))
(+ 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 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
beta
(+ beta (* -1 alpha))
(/ 1/2 (+ 2 beta))
(+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))
(+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
-1
(- (/ alpha (+ 2 beta)) 1)
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(/ alpha (+ 2 beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(/ (- (* 1/2 beta) (* -1/2 (+ 2 beta))) alpha)
(/ (- (+ (* -1 (/ (+ (* 1/4 (* beta (+ 4 (* 2 beta)))) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 beta)) (* -1/2 (+ 2 beta))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1/2 (pow (+ 2 beta) 3)) (* -1/8 (* beta (pow (+ 4 (* 2 beta)) 2)))) (pow alpha 2))) (* 1/2 beta)) (+ (* -1/2 (+ 2 beta)) (+ (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (+ (* -1 (/ (+ (* 1/16 (* beta (pow (+ 4 (* 2 beta)) 3))) (* 1/2 (pow (+ 2 beta) 4))) (pow alpha 3))) (* 1/2 beta)) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (+ (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))))) alpha)
(* -1/2 (/ (+ 2 beta) alpha))
(/ (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))) alpha)
(/ (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
(/ (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3)))))) alpha)
(* 1/2 (/ beta alpha))
(/ (+ (* -1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)) (* 1/2 beta)) alpha)
(/ (- (+ (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/2 beta)) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha)
(/ (- (+ (* -1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/2 beta)) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha)
(* 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 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(/ 1/2 alpha)
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
1
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* -1 (/ (- (* -1/2 beta) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1/2 beta) (+ (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha)) (* 1/2 (/ (pow (+ 2 beta) 3) alpha))) (+ (* 1/4 (* beta (+ 4 (* 2 beta)))) (* 1/2 (pow (+ 2 beta) 2)))) alpha)) (* -1/2 beta)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) alpha))) (+ (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2))) (* 1/2 (pow (+ 2 beta) 3)))) alpha)) (+ (* 1/4 (* beta (+ 4 (* 2 beta)))) (* 1/2 (pow (+ 2 beta) 2)))) alpha)) (* -1/2 beta)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (+ 2 beta) 4) alpha)) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 beta) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha)) (* 1/4 (* beta (+ 4 (* 2 beta))))) alpha)) (* -1/2 beta)) alpha))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha)) (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2)))) alpha)) (* 1/4 (* beta (+ 4 (* 2 beta))))) alpha)) (* -1/2 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 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))
(* -1/2 (- (/ alpha (+ 2 alpha)) 1))
(- (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(- (* beta (- (+ (* -1 (* beta (+ (* 1/2 (/ alpha (pow (+ 2 alpha) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2)))))) (/ 1 (+ 4 (* 2 alpha)))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(- (* beta (- (+ (* beta (- (* beta (- (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3))) (* -1/2 (/ alpha (pow (+ 2 alpha) 4))))) (+ (* 1/2 (/ alpha (pow (+ 2 alpha) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2)))))) (/ 1 (+ 4 (* 2 alpha)))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(* 1/2 (- (/ alpha (+ 2 alpha)) 1))
(+ (* -1/2 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(+ (* 1/2 (- (/ alpha (+ 2 alpha)) 1)) (* beta (+ (* -1/2 (/ alpha (pow (+ 2 alpha) 2))) (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 3))))))
(+ (* 1/2 (- (/ alpha (+ 2 alpha)) 1)) (* beta (+ (* -1/2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (+ (* -1/2 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3))))))))
(/ beta (+ 4 (* 2 alpha)))
(* beta (+ (* -2 (/ beta (pow (+ 4 (* 2 alpha)) 2))) (/ 1 (+ 4 (* 2 alpha)))))
(* beta (+ (* beta (- (* 4 (/ beta (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha)))))
(* beta (+ (* beta (- (* beta (+ (* -8 (/ beta (pow (+ 4 (* 2 alpha)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3))))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 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)))))))))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1/4
(+ 1/4 (* -1/8 beta))
(+ 1/4 (* beta (- (* 1/16 beta) 1/8)))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(- beta alpha)
(/ 1/2 (+ 2 alpha))
(+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha))))
(+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(+ (* beta (- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(+ 1/4 (* beta (- (* beta (+ 1/16 (* -1/32 beta))) 1/8)))
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(/ -4 alpha)
(- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(- (/ alpha (+ 2 alpha)) 1)
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(/ alpha (+ 2 alpha))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
-1/8
(- (* 1/16 beta) 1/8)
2
(+ 2 beta)
-4
(- (* -6 beta) 4)
(- (* beta (- (* -2 beta) 6)) 4)
(+ 1 (* -1 (/ (+ (* 1/4 (+ 4 (* 2 alpha))) (* 1/2 alpha)) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/2 (* alpha (+ 2 alpha))) (* -1/8 (pow (+ 4 (* 2 alpha)) 2))) (pow beta 2)))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta))))
(- (+ 1 (* -1 (/ (+ (* 1/16 (pow (+ 4 (* 2 alpha)) 3)) (* 1/2 (* alpha (pow (+ 2 alpha) 2)))) (pow beta 3)))) (+ (* -1/2 (/ (* alpha (+ 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))))))
(- (* 1/2 (/ alpha beta)) 1/2)
(- (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (* 1/2 (/ alpha beta))) 1/2)
(- (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))))) 1/2)
(+ 1/2 (* -1/4 (/ (+ 4 (* 2 alpha)) beta)))
(- (+ 1/2 (* 1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2)))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta)))
(- (+ 1/2 (* -1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (* 1/4 (/ (+ 4 (* 2 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 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(* 1/16 (pow beta 3))
(* (pow beta 3) (- 1/16 (* 1/8 (/ 1 beta))))
(* (pow beta 3) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta))))
(* (pow beta 3) (- (+ 1/16 (+ (/ 1/4 (pow beta 2)) (* 1/2 (/ 1 (pow beta 3))))) (* 1/8 (/ 1 beta))))
(* 1/16 (pow beta 2))
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta))))
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 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)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(/ 1/2 beta)
(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta)
(/ (- 1/2 (/ 1 beta)) beta)
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (/ 1 beta)) beta)
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) beta)
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* -2 (/ (pow beta 2) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(- (/ alpha beta) 1)
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
(/ alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)
(* 1/16 beta)
(* beta (- 1/16 (* 1/8 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* -2 (pow beta 2))
(* -1 (* (pow beta 2) (+ 2 (* 6 (/ 1 beta)))))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
(+ 1 (* -1 (/ (- (* 1/4 (+ 4 (* 2 alpha))) (* -1/2 alpha)) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (+ 4 (* 2 alpha)) 2)) (* -1/2 (* alpha (+ 2 alpha)))) beta)) (* 1/4 (+ 4 (* 2 alpha)))) (* -1/2 alpha)) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (pow (+ 4 (* 2 alpha)) 3)) (* -1/2 (* alpha (pow (+ 2 alpha) 2)))) beta)) (* 1/8 (pow (+ 4 (* 2 alpha)) 2))) (* -1/2 (* alpha (+ 2 alpha)))) beta)) (* 1/4 (+ 4 (* 2 alpha)))) (* -1/2 alpha)) beta)))
(- (* -1 (/ (+ (* -1/2 alpha) (* 1/2 (/ (* alpha (+ 2 alpha)) beta))) beta)) 1/2)
(- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* alpha (+ 2 alpha))) (* 1/2 (/ (* alpha (pow (+ 2 alpha) 2)) beta))) beta)) (* -1/2 alpha)) beta)) 1/2)
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) beta)) (* -1/4 (+ 4 (* 2 alpha)))) beta)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (pow (+ 4 (* 2 alpha)) 3) beta)) (* -1/8 (pow (+ 4 (* 2 alpha)) 2))) beta)) (* -1/4 (+ 4 (* 2 alpha)))) beta)))
(* -1 (* beta (- (* -1 (/ (+ 4 (* 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 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(* -1 (* (pow beta 3) (- (* 1/8 (/ 1 beta)) 1/16)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/8) beta)) 1/16)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8) beta)) 1/16)))
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta))))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(* -1 (/ (- (/ 1 beta) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 beta)) 1) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1) beta)) 1/2) beta))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16)))

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

rewrite278.0ms (3.5%)

Memory

-19.9MiB live, 363.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	299
0	81	299
1	400	292
2	3554	292
0	11386	286

Stop Event

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

Counts

23 → 471

Calls

Call 1

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

Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) beta (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) beta (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
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eval181.0ms (2.3%)

Memory: 29.9MiB live, 274.6MiB allocated
Compiler: Compiled 29 251 to 3 472 computations (88.1% saved)

prune31.0ms (0.4%)

Memory

10.1MiB live, 84.0MiB allocated

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	710	10	720
Fresh	6	10	16
Picked	2	3	5
Done	0	1	1
Total	718	24	742

Accuracy

99.9%

Counts

742 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.1%	(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
	59.5%	(fma.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	69.6%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64))
▶	70.9%	(fma.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))))
✓	66.4%	(fma.f64 (-.f64 beta alpha) #s(approx (/ 1 (* (+ 2 (+ alpha beta)) 2)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
	42.6%	(fma.f64 (-.f64 beta alpha) #s(approx (/ 1 (* (+ 2 (+ alpha beta)) 2)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
	70.8%	(-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
	56.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) beta) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (-.f64 #s(literal 2 binary64) beta) #s(literal 1/2 binary64)))
	67.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	28.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
	32.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
	33.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) beta)) alpha))
	34.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
▶	28.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
	33.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)))))
	31.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (exp.f64 (.f64 (log.f64 (/.f64 alpha (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)))) #s(literal -1 binary64))))
▶	15.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha))))
✓	40.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
	39.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(approx (+ (* 1/16 beta) -1/8) #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
▶	41.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
	28.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
✓	44.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	35.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
▶	45.8%	#s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

Compiler

Compiled 1 258 to 869 computations (30.9% saved)

simplify149.0ms (1.9%)

Memory

-8.1MiB live, 228.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	434
0	98	433
1	207	432
2	576	413
3	2740	388
0	8492	378

Stop Event

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

Calls

Call 1

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

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

localize235.0ms (3%)

Memory

4.1MiB live, 404.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (/ (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)))
accuracy	0.7578042428166806	(fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 alpha beta alpha))
accuracy	12.376670288248112	(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha))
accuracy	42.62769674000716	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha))))
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
accuracy	0.28001614602984126	(/.f64 #s(approx (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha)
accuracy	20.839574712143925	#s(approx (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
accuracy	42.62769674000716	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
accuracy	0.0	(+.f64 #s(literal 2 binary64) alpha)
accuracy	0.01953125	(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
accuracy	18.811439138843372	#s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy	21.435628432028853	(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.046875	(fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
accuracy	20.803101826167165	#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))
accuracy	21.0689141003627	#s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64))
accuracy	21.087554979562803	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
accuracy	0.015625	(fma.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))))
accuracy	0.0234375	(/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))
accuracy	0.02734375	(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	19.13140840035015	(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))

Samples

90.0ms	38×	2	valid
65.0ms	165×	0	valid
40.0ms	53×	1	valid

Compiler

Compiled 750 to 143 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 45.0ms (31% of total)

ival-div: 35.0ms (24.1% of total)

ival-add: 33.0ms (22.7% of total)

adjust: 22.0ms (15.2% of total)

ival-sub: 8.0ms (5.5% of total)

exact: 1.0ms (0.7% of total)

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

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

series21.0ms (0.3%)

Memory

-2.6MiB live, 35.1MiB allocated

Counts

21 → 221

Calls

Call 1

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

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

Calls

6 calls:

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

simplify179.0ms (2.3%)

Memory

-1.1MiB live, 237.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1067	5022
1	3731	4904
0	8932	4536

Stop Event

1×	iter limit
1×	node limit

Counts

221 → 219

Calls

Call 1

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

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

rewrite239.0ms (3%)

Memory

-1.8MiB live, 235.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	386
0	98	385
1	570	384
2	4974	384
0	9176	366

Stop Event

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

Counts

21 → 364

Calls

Call 1

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

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

eval126.0ms (1.6%)

Memory: 16.7MiB live, 178.9MiB allocated
Compiler: Compiled 26 388 to 2 730 computations (89.7% saved)

prune57.0ms (0.7%)

Memory

-34.9MiB live, 84.3MiB allocated

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	572	9	581
Fresh	4	11	15
Picked	2	3	5
Done	0	4	4
Total	578	27	605

Accuracy

99.9%

Counts

605 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.8%	(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))))
	70.1%	(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
	59.5%	(fma.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	69.6%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64))
✓	70.9%	(fma.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))))
✓	66.4%	(fma.f64 (-.f64 beta alpha) #s(approx (/ 1 (* (+ 2 (+ alpha beta)) 2)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
	56.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) beta) (-.f64 #s(literal 4 binary64) (.f64 beta beta))) (-.f64 #s(literal 2 binary64) beta) #s(literal 1/2 binary64)))
	67.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	28.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
	34.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	33.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha) beta) #s(literal 1 binary64))) alpha))
	33.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)))))
	31.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (exp.f64 (.f64 (log.f64 (/.f64 alpha (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)))) #s(literal -1 binary64))))
	16.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) alpha) (/.f64 #s(approx (+ (* (+ (* -1/2 beta) -1) (+ (* 2 beta) 2)) (+ (* alpha beta) alpha)) (fma.f64 beta alpha alpha)) (*.f64 alpha alpha))))
	15.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) alpha) (/.f64 #s(approx (+ (* (+ (* -1/2 beta) -1) (+ (* 2 beta) 2)) (+ (* alpha beta) alpha)) (-.f64 alpha #s(literal 2 binary64))) (*.f64 alpha alpha))))
✓	40.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
	39.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(approx (+ (* 1/16 beta) -1/8) #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
✓	41.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))))
	28.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
✓	44.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	35.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
✓	45.8%	#s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
	43.4%	#s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 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))))
	44.1%	#s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
	43.3%	#s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
	29.0%	#s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) (neg.f64 alpha))))
	28.9%	#s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))

Compiler

Compiled 2 332 to 891 computations (61.8% saved)

regimes65.0ms (0.8%)

Memory

8.7MiB live, 128.8MiB allocated

Counts

49 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

16.0ms	beta
14.0ms	alpha
12.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
10.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
96.5%	2	`alpha`
70.9%	1	`beta`
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes24.0ms (0.3%)

Memory

18.1MiB live, 55.6MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms

(+.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)))

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
99.4%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.4%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.4%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes20.0ms (0.2%)

Memory

4.5MiB live, 42.6MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms

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

5.0ms

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

5.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes46.0ms (0.6%)

Memory

-37.2MiB live, 51.2MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

34.0ms

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes20.0ms (0.2%)

Memory

6.7MiB live, 45.0MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

6.0ms	alpha
4.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
4.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
4.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
75.6%	2	`alpha`
97.2%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.2%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.2%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes13.0ms (0.2%)

Memory

31.2MiB live, 31.2MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms

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

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
97.1%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.1%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.1%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes13.0ms (0.2%)

Memory

0.5MiB live, 39.1MiB allocated

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

Outputs

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

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

Calls

3 calls:

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))

3.0ms

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

Results

Accuracy	Segments	Branch
97.0%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.0%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.0%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes14.0ms (0.2%)

Memory

-2.9MiB live, 37.8MiB allocated

Counts

11 → 3

Calls

Call 1

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

Calls

3 calls:

8.0ms

(/.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
97.0%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.0%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
97.0%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes10.0ms (0.1%)

Memory

-16.3MiB live, 22.8MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

4.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
91.5%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
91.5%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.5%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes8.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

3.0ms

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

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
91.1%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
91.1%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.1%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes8.0ms (0.1%)

Memory

-21.5MiB live, 17.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

3.0ms

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

2.0ms

(+.f64 (/.f64 (-.f64 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
91.0%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
91.0%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
91.0%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes12.0ms (0.2%)

Memory

-2.7MiB live, 34.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

4.0ms	beta
2.0ms	alpha
2.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
65.4%	2	`beta`
47.8%	2	`alpha`
65.4%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
65.4%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
65.4%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes6.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.4%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
65.4%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
65.4%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
65.4%	2	`beta`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes9.0ms (0.1%)

Memory

-24.4MiB live, 17.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	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
35.1%	1	`alpha`
35.1%	1	`beta`
35.1%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
35.1%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
35.1%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999985217695568	-0.9909697929110866

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999987676964	-0.9999996665972696

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9909697929110866	-0.1111736598671719

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9909697929110866	-0.1111736598671719

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.723191430809947e-9	0.518120222329278
0.0ms	-0.9909697929110866	-0.1111736598671719

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.723191430809947e-9	0.518120222329278
0.0ms	-0.9909697929110866	-0.1111736598671719

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.723191430809947e-9	0.518120222329278
0.0ms	-0.9909697929110866	-0.1111736598671719

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.723191430809947e-9	0.518120222329278
0.0ms	-0.9909697929110866	-0.1111736598671719

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.723191430809947e-9	0.518120222329278
0.0ms	-0.9909697929110866	-0.1111736598671719

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.723191430809947e-9	0.518120222329278
0.0ms	-0.9909697929110866	-0.1111736598671719

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.723191430809947e-9	0.518120222329278
0.0ms	-0.9909697929110866	-0.1111736598671719

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch23.0ms (0.3%)

Memory

-17.4MiB live, 61.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	6.485859836670246e-8	2.150412044207673

Samples

6.0ms	91×	0	valid
4.0ms	23×	2	valid
4.0ms	30×	1	valid

Compiler

Compiled 403 to 321 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (30.6% of total)

ival-add: 3.0ms (30.6% of total)

adjust: 2.0ms (20.4% of total)

ival-sub: 2.0ms (20.4% 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

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.723191430809947e-9	0.518120222329278

Compiler

Compiled 16 to 16 computations (0% saved)

simplify58.0ms (0.7%)

Memory

22.2MiB live, 61.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	130	1093
1	203	1089
2	410	1089
3	1421	1089
4	6118	1089

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -8962163258467287/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha) beta) #s(literal 1 binary64))) alpha)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007197453301141/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) #s(approx (/ 1 (* (+ 2 (+ alpha beta)) 2)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (+ (* (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2))) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (+ (* (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2))) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 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) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 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 (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 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 (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 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(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 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(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -8962163258467287/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (* (- -2 beta) (+ (* 2 beta) 2)) alpha) 1/2) (+ 1 beta)) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha) beta) #s(literal 1 binary64))) alpha)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007197453301141/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) #s(approx (/ 1 (* (+ 2 (+ alpha beta)) 2)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (+ (* (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2))) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (+ (* (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2))) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (+ (* (- beta alpha) (/ 1 (* (+ 2 (+ alpha beta)) 2))) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 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) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 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) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 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 (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 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 (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 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 (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 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 (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 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(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 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(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 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(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (/ beta (+ (* (+ alpha beta) 2) 4)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 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(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

soundness1.3s (16.8%)

Memory

-5.4MiB live, 943.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1067	5022
1	3731	4904
0	8932	4536
0	964	4840
1	3518	4585
0	8498	4389
0	35	225
0	58	212
1	301	206
2	2698	206
0	8685	204
0	433	2175
1	1576	1991
2	6672	1905
0	9249	1803
0	10	44
0	16	44
1	95	44
2	815	44
0	8428	43
0	1208	5605
1	4206	5449
0	8688	5101

Stop Event

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

Compiler

Compiled 2 265 to 791 computations (65.1% saved)

preprocess103.0ms (1.3%)

Memory: 33.4MiB live, 107.6MiB allocated
Compiler: Compiled 2 212 to 288 computations (87% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.4s (18.2%)

explain228.0ms (2.9%)

preprocess207.0ms (2.6%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify190.0ms (2.4%)

localize36.0ms (0.5%)

series16.0ms (0.2%)

simplify259.0ms (3.3%)

rewrite217.0ms (2.7%)

eval110.0ms (1.4%)

prune19.0ms (0.2%)

simplify135.0ms (1.7%)

localize159.0ms (2%)

series68.0ms (0.9%)

simplify234.0ms (3%)

rewrite218.0ms (2.7%)

eval244.0ms (3.1%)

prune66.0ms (0.8%)

simplify199.0ms (2.5%)

localize283.0ms (3.6%)

series55.0ms (0.7%)

simplify250.0ms (3.2%)

rewrite278.0ms (3.5%)

eval181.0ms (2.3%)

prune31.0ms (0.4%)

simplify149.0ms (1.9%)

localize235.0ms (3%)

series21.0ms (0.3%)

simplify179.0ms (2.3%)

rewrite239.0ms (3%)

eval126.0ms (1.6%)

prune57.0ms (0.7%)

regimes65.0ms (0.8%)

regimes24.0ms (0.3%)

regimes20.0ms (0.2%)

regimes46.0ms (0.6%)

regimes20.0ms (0.2%)

regimes13.0ms (0.2%)

regimes13.0ms (0.2%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (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%)

bsearch23.0ms (0.3%)

bsearch0.0ms (0%)

simplify58.0ms (0.7%)

soundness1.3s (16.8%)

preprocess103.0ms (1.3%)

end0.0ms (0%)

Profiling