Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze4.0ms (0%)

Memory

12.1MiB live, 12.1MiB 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)

sample4.2s (15.7%)

Memory

-12.8MiB live, 5 912.9MiB allocated

Samples

1.5s	6 058×	0	valid
1.4s	1 460×	1	valid
458.0ms	738×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-add: 653.0ms (39.3% of total)

ival-div: 370.0ms (22.3% of total)

ival-sub: 250.0ms (15% of total)

adjust: 234.0ms (14.1% of total)

ival->: 96.0ms (5.8% of total)

exact: 31.0ms (1.9% of total)

ival-and: 20.0ms (1.2% of total)

ival-assert: 8.0ms (0.5% of total)

Bogosity

explain323.0ms (1.2%)

Memory

-31.9MiB live, 637.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
72	1	(440.32163145799205 9.50821420652641e-301)	-	`(+.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	73	0

Confusion

	Predicted +	Predicted -
+	72	0
-	1	183

Precision

0.9863013698630136

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	0
-	1	0	183

Precision?

0.9863013698630136

Recall?

1.0

Freqs

test

number	freq
0	183
1	73

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms	372×	0	valid
29.0ms	58×	2	valid
23.0ms	82×	1	valid

Compiler

Compiled 113 to 34 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-add: 44.0ms (53.5% of total)

ival-div: 19.0ms (23.1% of total)

adjust: 10.0ms (12.2% of total)

ival-sub: 7.0ms (8.5% of total)

ival-true: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

preprocess564.0ms (2.1%)

Memory

44.3MiB live, 578.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.8MiB live, 0.9MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify455.0ms (1.7%)

Memory

69.5MiB live, 524.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
0	16	48
1	31	48
2	48	48
3	63	48
4	97	48
5	179	48
6	373	48
7	764	48
8	1175	48
9	2235	48
10	3693	48
11	4964	48
12	6022	48
13	6870	48
14	7404	48
15	7716	48
0	8470	47

Stop Event

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

Calls

Call 1

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

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

localize440.0ms (1.6%)

Memory

-18.5MiB live, 192.8MiB 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	0.01171875	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	16.509511925957746	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

27.0ms	186×	0	valid
19.0ms	29×	2	valid
13.0ms	41×	1	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 12.0ms (34.4% of total)

ival-add: 11.0ms (31.5% of total)

adjust: 5.0ms (14.3% of total)

ival-sub: 5.0ms (14.3% of total)

exact: 1.0ms (2.9% of total)

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

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

series185.0ms (0.7%)

Memory

-72.6MiB live, 47.4MiB 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
164.0ms	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))
5.0ms	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))
4.0ms	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))
4.0ms	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))
4.0ms	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))

simplify488.0ms (1.8%)

Memory

71.3MiB live, 606.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 85

Calls

Call 1

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

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

rewrite548.0ms (2%)

Memory

-88.7MiB live, 728.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 438

Calls

Call 1

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

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

eval313.0ms (1.2%)

Memory: 66.4MiB live, 503.4MiB allocated
Compiler: Compiled 19 030 to 2 499 computations (86.9% saved)

prune48.0ms (0.2%)

Memory

35.3MiB live, 138.2MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	507	14	521
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	508	14	522

Accuracy

99.8%

Counts

522 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.6%	(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
▶	74.2%	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	74.2%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
	74.1%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
	73.7%	(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	50.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
	26.1%	(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 alpha)) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (+.f64 #s(literal 2 binary64) beta)) beta) (neg.f64 alpha))) #s(literal 2 binary64))
▶	71.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	27.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
	28.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
▶	27.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
	51.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
▶	35.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 1 008 to 504 computations (50% saved)

simplify300.0ms (1.1%)

Memory

-21.3MiB live, 515.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	0	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64))
cost-diff	0	(-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)))
cost-diff	0	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
cost-diff	4	(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))
cost-diff	0	(+.f64 #s(literal 2 binary64) beta)
cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
cost-diff	0	(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	0	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	443
0	69	443
1	142	439
2	321	439
3	951	431
4	4353	431
0	8200	424

Stop Event

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

Calls

Call 1

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

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

localize786.0ms (2.9%)

Memory

12.2MiB live, 902.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.109375	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	14.802423882349256	(-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1 binary64))
accuracy	14.841533098672905	(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
accuracy	31.269069915262566	(-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)) #s(literal 1 binary64))
accuracy	0.015625	(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta)
accuracy	1.1867723306530675	(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha)
accuracy	1.2506260793052981	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)
accuracy	45.59913326611548	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))
accuracy	0.0	(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.0	(+.f64 #s(literal 2 binary64) beta)
accuracy	0.00390625	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
accuracy	17.976833070034825	#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	41.58717149095644	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0.0	(+.f64 alpha beta)
accuracy	0.0	(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
accuracy	0.01171875	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy	16.50739879430547	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

195.0ms	57×	2	valid
194.0ms	74×	1	valid
99.0ms	125×	0	valid

Compiler

Compiled 426 to 42 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 418.0ms

ival-add: 136.0ms (32.5% of total)

adjust: 77.0ms (18.4% of total)

ival-pow: 68.0ms (16.3% of total)

ival-mult: 63.0ms (15.1% of total)

ival-div: 36.0ms (8.6% of total)

ival-sub: 35.0ms (8.4% of total)

exact: 3.0ms (0.7% of total)

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

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

series561.0ms (2.1%)

Memory

50.2MiB live, 703.4MiB allocated

Counts

21 → 264

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
111.0ms	alpha	@	inf	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (/ (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) 1) (* (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) 1) (* (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) 2))) (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) 1) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) (+ alpha beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) 1))
91.0ms	beta	@	inf	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (/ (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) 1) (* (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) 1) (* (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) 2))) (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) 1) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) (+ alpha beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) 1))
81.0ms	alpha	@	0	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (/ (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) 1) (* (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) 1) (* (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) 2))) (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) 1) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) (+ alpha beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) 1))
74.0ms	beta	@	0	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (/ (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) 1) (* (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) 1) (* (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) 2))) (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) 1) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) (+ alpha beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) 1))
68.0ms	beta	@	-inf	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (/ (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) 1) (* (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) 1) (* (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) 2))) (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) 1) (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 6) (+ alpha beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) 1))

simplify1.7s (6.4%)

Memory

-50.8MiB live, 1 159.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2307	40215
0	8161	36772

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 262

Calls

Call 1

Inputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
beta
(+ beta (* -1 alpha))
(+ 2 beta)
(+ 2 (+ alpha beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) (pow alpha 2))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) alpha)
(* 1/2 (/ (- (/ (pow beta 6) (pow (+ 2 beta) 6)) 1) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (- (/ (pow beta 3) (pow (+ 2 beta) 3)) 1))))
(+ (* 1/2 (* alpha (- (* 2 (/ (* (pow beta 3) (+ (* -2 (pow beta 2)) (* -1 (pow beta 2)))) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (* (pow (+ 2 beta) 6) (- (/ (pow beta 3) (pow (+ 2 beta) 3)) 1))))) (+ (* 2 (/ (* (pow beta 6) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (* (pow (+ 2 beta) 9) (- (/ (pow beta 3) (pow (+ 2 beta) 3)) 1))))) (/ (* (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (* (- (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (* -1 (/ (- (/ beta (+ 2 beta)) 1) (+ 2 beta)))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (- (/ (pow beta 3) (pow (+ 2 beta) 3)) 1))) (- (/ (pow beta 6) (pow (+ 2 beta) 6)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (- (/ (pow beta 3) (pow (+ 2 beta) 3)) 1) 2))))))) (* 1/2 (/ (- (/ (pow beta 6) (pow (+ 2 beta) 6)) 1) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (- (/ (pow beta 3) (pow (+ 2 beta) 3)) 1)))))
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2 beta))) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (* (- (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (* -1 (/ (- (/ beta (+ 2 beta)) 1) (+ 2 beta)))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (- (/ (pow beta 3) (pow (+ 2 beta) 3)) 1))) (- (* 2 (/ (* (pow beta 3) (+ (* -2 (pow beta 2)) (* -1 (pow beta 2)))) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (* (pow (+ 2 beta) 6) (- (/ (pow beta 3) (pow (+ 2 beta) 3)) 1))))) (+ (* 2 (/ (* (pow beta 6) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (* (pow (+ 2 beta) 9) (- (/ (pow beta 3) (pow (+ 2 beta) 3)) 1))))) (/ (* (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 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(+ (* 1/2 (/ (- (/ (pow beta 6) (pow (+ 2 beta) 6)) 1) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (- (/ (pow beta 3) (pow (+ 2 beta) 3)) 1)))) (* alpha (+ (* 1/2 (- (* 2 (/ (* (pow beta 3) (+ (* -2 (pow beta 2)) (* -1 (pow beta 2)))) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (* (pow (+ 2 beta) 6) (- (/ (pow beta 3) (pow (+ 2 beta) 3)) 1))))) (+ (* 2 (/ (* (pow beta 6) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (* (pow (+ 2 beta) 9) (- (/ (pow beta 3) (pow (+ 2 beta) 3)) 1))))) (/ (* (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (* (- (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (* -1 (/ (- (/ beta (+ 2 beta)) 1) (+ 2 beta)))) (/ (* beta (- (/ 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(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
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Outputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
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(- (+ (* 2 (/ beta alpha)) (/ beta alpha)) (+ 2 (* -1 (/ (+ 6 (+ beta (* 2 beta))) alpha))))
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(* -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))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
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(- (* -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)
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(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
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(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
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(* -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))
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(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
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(* 1/12 (/ (- (+ (* 2 beta) (* 4 beta)) (* -2 (+ 2 (+ beta (* 2 (+ 2 beta)))))) alpha))
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(+ 1 (* -1 (/ (- (+ (* 2 beta) (* 4 beta)) (* -2 (+ 2 (+ beta (* 2 (+ 2 beta)))))) alpha)))
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(* -1 (/ alpha (+ 2 alpha)))
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(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 alpha alpha))) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) alpha)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 alpha #s(literal 3 binary64))) beta)) (fma.f64 (/.f64 (.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 alpha alpha))) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) alpha)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) #s(literal -1 binary64) (fma.f64 (.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) alpha)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta)) #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta)))) beta) #s(literal -1 binary64) (neg.f64 (-.f64 (neg.f64 (*.f64 #s(literal 3 binary64) alpha)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta))
(* -1 (/ (+ (* -1 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* -1 (/ (+ (* -1 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2)))))) (* -1 (/ (+ (* -1 (- (* -1 (pow alpha 3)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))))) (+ (* -1 (* (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (pow (+ 2 alpha) 3))))) (* -1 (/ (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (pow alpha 3)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))))) (+ (* -1 (* (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (pow (+ 2 alpha) 3)))))) (+ (* -1 (* (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))))) (* -1 (* (pow (+ 2 alpha) 3) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))))) beta))) beta))) beta))) beta))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 alpha alpha))) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) alpha)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64)) (.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) alpha)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (neg.f64 (.f64 (-.f64 (neg.f64 (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 alpha alpha))) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) alpha)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) (fma.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64))) (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) alpha)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta) #s(literal -1 binary64) (neg.f64 (-.f64 (neg.f64 (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 alpha alpha))) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) alpha)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) (fma.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64))) (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) alpha)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))))) beta) #s(literal -1 binary64) (neg.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) (.f64 alpha alpha))) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (neg.f64 (.f64 #s(literal 3 binary64) alpha)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))))) beta) #s(literal -1 binary64) (neg.f64 (-.f64 (neg.f64 (*.f64 #s(literal 3 binary64) alpha)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta))

rewrite563.0ms (2.1%)

Memory

2.4MiB live, 868.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	295
0	69	295
1	334	277
2	2645	277
0	8971	277

Stop Event

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

Counts

21 → 409

Calls

Call 1

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

Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 2 binary64) beta) alpha) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/4 binary64))))))
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 2 binary64) beta) alpha))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))
(.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
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(expm1.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 beta (+.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 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 9 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 18 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 12 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))
(expm1.f64 (-.f64 (.f64 (log.f64 (-.f64 beta alpha)) #s(literal 3 binary64)) (.f64 (log.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (fma.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 3/2 binary64))))
(expm1.f64 (.f64 (.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 6 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))

eval692.0ms (2.6%)

Memory: -7.5MiB live, 1 215.2MiB allocated
Compiler: Compiled 100 821 to 6 525 computations (93.5% saved)

prune149.0ms (0.6%)

Memory

-28.1MiB live, 299.3MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 129	15	1 144
Fresh	4	5	9
Picked	3	2	5
Done	0	0	0
Total	1 136	22	1 158

Accuracy

100.0%

Counts

1 158 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.3%	(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	49.8%	(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	59.6%	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))
	73.7%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	3.8%	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	74.2%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
	74.1%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
	48.7%	(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
✓	71.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	27.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
	28.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
▶	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
▶	28.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (fma.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64))) beta (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64)))) alpha))
	24.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha))
	28.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)))
	46.9%	#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))))
	47.8%	#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))))
▶	50.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	35.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	51.3%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
	26.0%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (/.f64 (.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 alpha alpha)))))) alpha))
	27.3%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (neg.f64 (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha)) #s(literal -1/2 binary64))) alpha))) alpha))) alpha)))

Compiler

Compiled 1 567 to 854 computations (45.5% saved)

simplify333.0ms (1.2%)

Memory

64.1MiB live, 491.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (fma.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64))) beta (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64))))
cost-diff	0	(/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (fma.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64))) beta (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64)))) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (fma.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64))) beta (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64)))) alpha))
cost-diff	2	(fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta)))
cost-diff	0	(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
cost-diff	0	#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
cost-diff	32	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	618
0	91	618
1	177	567
2	355	567
3	988	551
4	4117	531
0	8398	515

Stop Event

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

Calls

Call 1

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

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

localize685.0ms (2.5%)

Memory

-17.9MiB live, 1 088.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)))
accuracy	0.02734375	(fma.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64))) beta (/.f64 #s(literal 4 binary64) alpha))
accuracy	1.2506260793052981	(/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (fma.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64))) beta (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64)))) alpha)
accuracy	45.59913326611548	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (fma.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64))) beta (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64)))) alpha))
accuracy	0.0	(+.f64 #s(literal 2 binary64) beta)
accuracy	0.01171875	(/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta)))
accuracy	16.50739879430547	(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	17.983058938443556	#s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))
accuracy	0.0	(+.f64 #s(literal 1 binary64) beta)
accuracy	0.01171875	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
accuracy	44.81568212389146	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
accuracy	16.463015727873078	#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))
accuracy	17.976833070034825	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
accuracy	0.03515625	(/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	0.05144501953688403	(pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
accuracy	14.841533098672905	(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
accuracy	16.49145341986633	(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))

Samples

276.0ms	77×	1	valid
188.0ms	54×	2	valid
119.0ms	125×	0	valid

Compiler

Compiled 509 to 55 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 452.0ms

adjust: 142.0ms (31.4% of total)

ival-add: 100.0ms (22.1% of total)

ival-div: 82.0ms (18.2% of total)

ival-mult: 68.0ms (15.1% of total)

ival-sub: 30.0ms (6.6% of total)

ival-pow2: 17.0ms (3.8% of total)

ival-pow: 9.0ms (2% of total)

exact: 2.0ms (0.4% of total)

ival-assert: 1.0ms (0.2% of total)

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

series469.0ms (1.7%)

Memory

88.0MiB live, 860.3MiB allocated

Counts

21 → 246

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
93.0ms	alpha	@	0	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (/ (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) (/ (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (/ (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) 2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (+ (* (/ beta alpha) 2) (- (/ 6 alpha) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (/ (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1)) (+ 2 beta) (+ (* (+ (* (/ beta alpha) 2) (- (/ 6 alpha) 2)) beta) (/ 4 alpha)))
88.0ms	beta	@	0	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (/ (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) (/ (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (/ (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) 2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (+ (* (/ beta alpha) 2) (- (/ 6 alpha) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (/ (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1)) (+ 2 beta) (+ (* (+ (* (/ beta alpha) 2) (- (/ 6 alpha) 2)) beta) (/ 4 alpha)))
77.0ms	alpha	@	-inf	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (/ (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) (/ (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (/ (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) 2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (+ (* (/ beta alpha) 2) (- (/ 6 alpha) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (/ (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1)) (+ 2 beta) (+ (* (+ (* (/ beta alpha) 2) (- (/ 6 alpha) 2)) beta) (/ 4 alpha)))
73.0ms	alpha	@	inf	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (/ (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) (/ (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (/ (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) 2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (+ (* (/ beta alpha) 2) (- (/ 6 alpha) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (/ (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1)) (+ 2 beta) (+ (* (+ (* (/ beta alpha) 2) (- (/ 6 alpha) 2)) beta) (/ 4 alpha)))
35.0ms	beta	@	inf	((+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (/ (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) (/ (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (/ (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) (pow (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1) -1)) 2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/ (- beta alpha) (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (+ (* (/ beta alpha) 2) (- (/ 6 alpha) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (/ (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1)) (+ 2 beta) (+ (* (+ (* (/ beta alpha) 2) (- (/ 6 alpha) 2)) beta) (/ 4 alpha)))

simplify725.0ms (2.7%)

Memory

-40.3MiB live, 1 290.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2248	52461
0	8072	48590

Stop Event

1×	iter limit
1×	node limit

Counts

246 → 244

Calls

Call 1

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

Outputs
(+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))
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(+ (* alpha (- (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))) (+ (* -1 (/ (pow beta 2) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2))))) (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (+ 2 beta)))) (+ (* -1 (/ (- (/ beta (+ 2 beta)) 1) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (+ 2 beta)))) (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (* -1 (/ (- (/ beta (+ 2 beta)) 1) (+ 2 beta)))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6))))))) (+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))))
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beta
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(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
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-1
#s(literal -1 binary64)
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(* -1 alpha)
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alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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-2
#s(literal -2 binary64)
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(* 1/2 (+ 2 (* 2 beta)))
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1
#s(literal 1 binary64)
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1/3
#s(literal 1/3 binary64)
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(- (+ 1/3 (+ (* -2/3 (/ beta alpha)) (* 1/3 (/ (pow beta 2) (pow alpha 2))))) (+ (* 1/9 (/ (- (+ (* -2 beta) (+ (* -1 (+ 2 (* 2 beta))) (* 3 (+ 4 (* 2 beta))))) (* 2 (+ 2 beta))) alpha)) (+ (* 1/9 (/ (- (+ (* -1 (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* 3 (pow (+ 2 beta) 2)) (+ (* beta (+ 2 (* 2 beta))) (* (+ 4 (* 2 beta)) (- (+ (* -2 beta) (* -1 (+ 2 (* 2 beta)))) (* 2 (+ 2 beta))))))) (* (+ 2 beta) (- (+ (* -2 beta) (* -1 (+ 2 (* 2 beta)))) (* 2 (+ 2 beta))))) (pow alpha 2))) (* 1/3 (/ (* (- (* -2/3 beta) (* 1/9 (- (+ (* -2 beta) (+ (* -1 (+ 2 (* 2 beta))) (* 3 (+ 4 (* 2 beta))))) (* 2 (+ 2 beta))))) (- (+ (* -2 beta) (+ (* -1 (+ 2 (* 2 beta))) (* 3 (+ 4 (* 2 beta))))) (* 2 (+ 2 beta)))) (pow alpha 2))))))
(-.f64 (+.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 beta alpha) #s(literal 1/3 binary64)) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 beta beta)) (.f64 alpha alpha))) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha) #s(literal 1/9 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) beta (.f64 #s(literal -1/9 binary64) (-.f64 (fma.f64 #s(literal -2 binary64) beta (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (.f64 alpha alpha))) #s(literal 1/3 binary64) (.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 2 binary64) beta) beta)) #s(literal -1 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 3 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) beta)))) (.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) #s(literal 1/9 binary64)))))
(- (+ 1/3 (+ (* -1 (/ (+ (* 1/9 (- (+ (* -1 (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (+ (* beta (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 4 (* 2 beta)) (- (+ (* -1 (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (* beta (+ 2 (* 2 beta)))) (* (+ 2 beta) (- (+ (* -2 beta) (* -1 (+ 2 (* 2 beta)))) (* 2 (+ 2 beta)))))) (* (pow (+ 2 beta) 2) (- (+ (* -2 beta) (* -1 (+ 2 (* 2 beta)))) (* 2 (+ 2 beta))))))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (* beta (+ 2 (* 2 beta)))) (* (+ 2 beta) (- (+ (* -2 beta) (* -1 (+ 2 (* 2 beta)))) (* 2 (+ 2 beta)))))))) (+ (* 1/3 (* (- (* -2/3 beta) (* 1/9 (- (+ (* -2 beta) (+ (* -1 (+ 2 (* 2 beta))) (* 3 (+ 4 (* 2 beta))))) (* 2 (+ 2 beta))))) (- (+ (* -1 (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* 3 (pow (+ 2 beta) 2)) (+ (* beta (+ 2 (* 2 beta))) (* (+ 4 (* 2 beta)) (- (+ (* -2 beta) (* -1 (+ 2 (* 2 beta)))) (* 2 (+ 2 beta))))))) (* (+ 2 beta) (- (+ (* -2 beta) (* -1 (+ 2 (* 2 beta)))) (* 2 (+ 2 beta))))))) (* 1/3 (* (- (* 1/3 (pow beta 2)) (+ (* 1/9 (- (+ (* -1 (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* 3 (pow (+ 2 beta) 2)) (+ (* beta (+ 2 (* 2 beta))) (* (+ 4 (* 2 beta)) (- (+ (* -2 beta) (* -1 (+ 2 (* 2 beta)))) (* 2 (+ 2 beta))))))) (* (+ 2 beta) (- (+ (* -2 beta) (* -1 (+ 2 (* 2 beta)))) (* 2 (+ 2 beta)))))) (* 1/3 (* (- (* -2/3 beta) (* 1/9 (- (+ (* -2 beta) (+ (* -1 (+ 2 (* 2 beta))) (* 3 (+ 4 (* 2 beta))))) (* 2 (+ 2 beta))))) (- (+ (* -2 beta) (+ (* -1 (+ 2 (* 2 beta))) (* 3 (+ 4 (* 2 beta))))) (* 2 (+ 2 beta))))))) (- (+ (* -2 beta) (+ (* -1 (+ 2 (* 2 beta))) (* 3 (+ 4 (* 2 beta))))) (* 2 (+ 2 beta))))))) (pow alpha 3))) (+ (* -2/3 (/ beta alpha)) (* 1/3 (/ (pow beta 2) (pow alpha 2)))))) (+ (* 1/9 (/ (- (+ (* -2 beta) (+ (* -1 (+ 2 (* 2 beta))) (* 3 (+ 4 (* 2 beta))))) (* 2 (+ 2 beta))) alpha)) (+ (* 1/9 (/ (- (+ (* -1 (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* 3 (pow (+ 2 beta) 2)) (+ (* beta (+ 2 (* 2 beta))) (* (+ 4 (* 2 beta)) (- (+ (* -2 beta) (* -1 (+ 2 (* 2 beta)))) (* 2 (+ 2 beta))))))) (* (+ 2 beta) (- (+ (* -2 beta) (* -1 (+ 2 (* 2 beta)))) (* 2 (+ 2 beta))))) (pow alpha 2))) (* 1/3 (/ (* (- (* -2/3 beta) (* 1/9 (- (+ (* -2 beta) (+ (* -1 (+ 2 (* 2 beta))) (* 3 (+ 4 (* 2 beta))))) (* 2 (+ 2 beta))))) (- (+ (* -2 beta) (+ (* -1 (+ 2 (* 2 beta))) (* 3 (+ 4 (* 2 beta))))) (* 2 (+ 2 beta)))) (pow alpha 2))))))
(-.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 2 binary64) beta) beta)) beta (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) beta (neg.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 2 binary64) beta) beta)))) (.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) beta (neg.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 2 binary64) beta) beta)))) (.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal -2/3 binary64) beta (.f64 #s(literal -1/9 binary64) (-.f64 (fma.f64 #s(literal -2 binary64) beta (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (-.f64 (fma.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 2 binary64) beta) beta)) #s(literal -1 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 3 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) beta)))) (.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 beta beta)) (fma.f64 (.f64 (fma.f64 #s(literal 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binary64) beta #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) beta)))) (.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/9 binary64)))) (-.f64 (fma.f64 #s(literal -2 binary64) beta (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 beta alpha) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 beta beta)) (.f64 alpha alpha)))) #s(literal 1/3 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha) #s(literal 1/9 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) beta (.f64 #s(literal -1/9 binary64) (-.f64 (fma.f64 #s(literal -2 binary64) beta (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (.f64 alpha alpha))) #s(literal 1/3 binary64) (.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 2 binary64) beta) beta)) #s(literal -1 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 3 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) beta)))) (.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) #s(literal 1/9 binary64)))))
(* -2 beta)
(*.f64 #s(literal -2 binary64) beta)
(+ (* -2 beta) (+ (* 4 (/ 1 alpha)) (/ (* beta (+ 6 (* 2 beta))) alpha)))
(fma.f64 #s(literal -2 binary64) beta (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 6 binary64)) beta #s(literal 4 binary64)) alpha))
(* -1 (/ (- (* -1/3 (+ beta (* 2 beta))) (+ (* 1/9 (+ (* -1 (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta)))) (* 3 (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* 1/9 (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta)))))) alpha))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3 binary64) (.f64 #s(literal 3 binary64) beta)) (.f64 #s(literal 1/9 binary64) (+.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 3 binary64) (neg.f64 (fma.f64 (-.f64 (-.f64 (.f64 beta #s(literal -3 binary64)) #s(literal 2 binary64)) beta) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (fma.f64 (-.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) #s(literal 2 binary64)) beta) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (* -1/3 (+ (* 2 (pow beta 2)) (pow beta 2))) (+ (* -1/3 (* (+ (* -1 (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta)))) (* 3 (+ 2 (+ beta (* 2 (+ 2 beta)))))) (- (* -1/3 (+ beta (* 2 beta))) (* 1/9 (+ (* -1 (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta)))) (* 3 (+ 2 (+ beta (* 2 (+ 2 beta)))))))))) (+ (* -1/27 (pow (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta))) 2)) (+ (* 1/9 (+ (* -1 (- (* -1 (+ (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* beta (- (* -1 beta) (+ 2 beta))))) (* -1 (* (+ 2 beta) (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta))))))) (+ (* 3 (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta))))))) (* 1/9 (- (* -1 (+ (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* beta (- (* -1 beta) (+ 2 beta))))) (* -1 (* (+ 2 beta) (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta))))))))))) alpha)) (* -1/3 (+ beta (* 2 beta)))) (+ (* 1/9 (+ (* -1 (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta)))) (* 3 (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* 1/9 (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta)))))) alpha))
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(* -1/2 (/ (- (* -1/3 (+ beta (* 2 beta))) (+ (* 1/9 (+ (* -1 (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta)))) (* 3 (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* 1/9 (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta)))))) alpha))
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(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta))))
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(fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 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)))
(fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(fma.f64 (/.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)) #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(fma.f64 (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)) #s(literal 1/2 binary64))) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta) #s(literal -1 binary64) #s(literal 1 binary64)) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 1 binary64)))
(* -1 (* beta (- (* -1 (/ (- (* 6 (/ 1 alpha)) 2) beta)) (* 2 (/ 1 alpha)))))
(*.f64 (neg.f64 beta) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) beta)) (/.f64 #s(literal 2 binary64) alpha)))
(* (pow beta 2) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 6 binary64) (.f64 alpha alpha))) beta) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))) (*.f64 beta beta))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2))))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) alpha)) beta) #s(literal 1/2 binary64) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 6 binary64) (.f64 alpha alpha))) #s(literal -1/2 binary64))) beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha alpha))) (.f64 beta beta))
(* (pow beta 2) (- (* 1/2 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (/ 1 alpha)))
(.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) alpha)) beta) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- 2 (* 6 (/ 1 alpha)))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) 2) beta))) beta)) (/ 1 alpha)))
(.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) alpha)) #s(literal -1/2 binary64))) beta)) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))
(/ (- (* -1 alpha) (+ 2 alpha)) beta)
(/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)
(* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))
(neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) beta))
(* -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))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta))) beta))
(* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) beta))
(neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta))) beta))) beta) #s(literal -1 binary64) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) beta))
(+ 1 (* -1 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta)))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) alpha)) #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) beta) (pow alpha 2))) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (-.f64 (.f64 alpha alpha) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) alpha)) #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) alpha)) beta) #s(literal -2 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) beta) (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) alpha)) #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* 2 alpha) (+ (* -2 (+ 2 alpha)) (* -1 (- (* -1 alpha) (+ 2 alpha))))) beta)))
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 2) (+ (* -1 (- (* -1 (+ (* -1 (* alpha (- (* -1 alpha) (+ 2 alpha)))) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))) (+ (* 2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) (- (* 2 alpha) (+ (* -2 (+ 2 alpha)) (* -1 (- (* -1 alpha) (+ 2 alpha)))))) (pow (+ 2 alpha) 2))))) beta)) (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (- (* -1 alpha) (+ 2 alpha))))) beta)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (.f64 alpha alpha) (neg.f64 (-.f64 (neg.f64 (fma.f64 (neg.f64 alpha) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))))) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta) #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1 (/ (- (* -1 (+ (* -1 (* alpha (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))))) (* -1 (* (+ 2 alpha) (- (* -1 (+ (* -1 (* alpha (- (* -1 alpha) (+ 2 alpha)))) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))))) beta)) (+ (* 2 (/ (* (+ 2 alpha) (- (* -1 (+ (* -1 (* alpha (- (* -1 alpha) (+ 2 alpha)))) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))) beta)) (+ (/ (* (+ (* -2 (+ 2 alpha)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) (- (pow alpha 2) (+ (* -1 (- (* -1 (+ (* -1 (* alpha (- (* -1 alpha) (+ 2 alpha)))) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))) (+ (* 2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) (- (* 2 alpha) (+ (* -2 (+ 2 alpha)) (* -1 (- (* -1 alpha) (+ 2 alpha)))))) (pow (+ 2 alpha) 2)))))) beta) (+ (/ (* (+ (* -1 (- (* -1 (+ (* -1 (* alpha (- (* -1 alpha) (+ 2 alpha)))) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))) (+ (* 2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (pow (+ 2 alpha) 2))) (- (* 2 alpha) (+ (* -2 (+ 2 alpha)) (* -1 (- (* -1 alpha) (+ 2 alpha)))))) beta) (pow alpha 2)))))) (+ (* -1 (- (* -1 (+ (* -1 (* alpha (- (* -1 alpha) (+ 2 alpha)))) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))) (+ (* 2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) (- (* 2 alpha) (+ (* -2 (+ 2 alpha)) (* -1 (- (* -1 alpha) (+ 2 alpha)))))) (pow (+ 2 alpha) 2))))) beta)) (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (- (* -1 alpha) (+ 2 alpha))))) beta)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (neg.f64 alpha) (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)) (.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)))) (neg.f64 (.f64 (-.f64 (neg.f64 (fma.f64 (neg.f64 alpha) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 #s(literal 2 binary64) alpha)))) beta) #s(literal -1 binary64) (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (neg.f64 (fma.f64 (neg.f64 alpha) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta)) #s(literal 2 binary64) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) (/.f64 (-.f64 (-.f64 (.f64 alpha alpha) (neg.f64 (-.f64 (neg.f64 (fma.f64 (neg.f64 alpha) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))))) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta) (fma.f64 alpha alpha (/.f64 (.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 (neg.f64 alpha) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))) #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)))) beta))))) (fma.f64 (-.f64 (neg.f64 (fma.f64 (neg.f64 alpha) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))) #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))))) beta) #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(* (pow beta 2) (+ (* -1 (/ (- (* -1 (- (* 6 (/ 1 alpha)) 2)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (.f64 alpha beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta))

rewrite425.0ms (1.6%)

Memory

-26.8MiB live, 615.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	464
0	91	464
1	438	415
2	3679	395
0	8158	382

Stop Event

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

Counts

21 → 256

Calls

Call 1

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

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

eval709.0ms (2.6%)

Memory: 118.9MiB live, 1 003.7MiB allocated
Compiler: Compiled 100 968 to 4 729 computations (95.3% saved)

prune123.0ms (0.5%)

Memory

-10.7MiB live, 217.3MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	761	4	765
Fresh	1	14	15
Picked	2	3	5
Done	0	2	2
Total	764	23	787

Accuracy

100.0%

Counts

787 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.3%	(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	49.8%	(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶	59.6%	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))
▶	73.7%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	3.8%	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	55.5%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
▶	74.1%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
✓	71.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	27.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
	28.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
✓	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	28.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 6 binary64)) alpha) #s(literal 2 binary64)) beta (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) alpha))
	24.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha))
	28.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)))
	8.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
	25.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
▶	46.9%	#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))))
▶	47.8%	#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))))
✓	50.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	35.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	51.3%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
	26.0%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (/.f64 (.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 alpha alpha)))))) alpha))
	27.3%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (neg.f64 (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha)) #s(literal -1/2 binary64))) alpha))) alpha))) alpha)))

Compiler

Compiled 1 497 to 822 computations (45.1% saved)

simplify331.0ms (1.2%)

Memory

-19.2MiB live, 413.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	634
0	94	634
1	167	632
2	354	632
3	1078	632
4	4832	632
0	8267	626

Stop Event

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

Calls

Call 1

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

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

localize785.0ms (2.9%)

Memory

17.2MiB live, 1 252.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0.02734375	(pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	16.81616502156831	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))
accuracy	21.183032211998814	(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))
accuracy	0.0	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0.0	(+.f64 alpha beta)
accuracy	0.01953125	(/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	16.810418535849124	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
accuracy	0.0	(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))
accuracy	0.0	(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64))
accuracy	17.976833070034825	#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))))
accuracy	19.081617995343898	#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)))
accuracy	0.0	(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))
accuracy	17.976833070034825	#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))))
accuracy	18.478291494267463	#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))
accuracy	14.841533098672905	(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
accuracy	14.841533098672905	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy	16.541125430117372	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy	31.317073462364736	(-.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64))

Samples

263.0ms	125×	0	valid
215.0ms	75×	1	valid
189.0ms	56×	2	valid

Compiler

Compiled 602 to 57 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 516.0ms

ival-add: 109.0ms (21.1% of total)

ival-div: 87.0ms (16.9% of total)

ival-sub: 77.0ms (14.9% of total)

ival-pow2: 71.0ms (13.8% of total)

ival-mult: 67.0ms (13% of total)

ival-pow: 53.0ms (10.3% of total)

adjust: 49.0ms (9.5% of total)

exact: 2.0ms (0.4% of total)

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

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

series1.7s (6.2%)

Memory

9.9MiB live, 2 787.3MiB allocated

Counts

24 → 326

Calls

Call 1

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

Outputs
(- (+ (/ beta (* (+ 2 beta) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (+ (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))) (/ 1 (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2))))
(- (+ (* alpha (- (+ (* -4 (/ (pow beta 3) (* (pow (+ 2 beta) 4) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))) (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2))))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))) (* -1 (/ (pow beta 2) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta)))) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))) (+ (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 6) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))) (+ (/ 1 (* (+ 2 beta) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (+ (/ (* beta (- (+ (* (+ 2 beta) (- (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (+ (* 2 (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta))))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (/ (pow beta 4) (pow (+ 2 beta) 4))) (pow (- 1 (/ beta (+ 2 beta))) 2))) (* (pow (+ 2 beta) 2) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))) (+ (/ (* (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2))) (* (pow (+ 2 beta) 2) (- (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (+ (* 2 (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta))))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))))) (* (pow (+ 2 beta) 4) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))) (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (* -1 (/ (- (/ beta (+ 2 beta)) 1) (+ 2 beta)))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6)))))))))) (+ (/ beta (* (+ 2 beta) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (+ (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))))) (/ 1 (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2))))
(- (+ (* alpha (- (+ (* -4 (/ (pow beta 3) (* (pow (+ 2 beta) 4) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))) (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2))))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))) (+ (* -1 (/ (pow beta 2) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))) (* alpha (- (+ (* -4 (/ (pow beta 3) (* (pow (+ 2 beta) 5) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))) (+ (* 2 (/ beta (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))) (+ (* 2 (/ (pow beta 2) (* (pow (+ 2 beta) 4) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ 2 beta) 4) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))) (+ (/ 1 (* (pow (+ 2 beta) 2) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (+ (/ beta (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))) (+ (/ (* (- (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (+ (* 2 (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta))))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6))))) (- (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta)))) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 6) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))))) (* -4 (/ (pow beta 3) (* (pow (+ 2 beta) 4) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))))) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2))) (/ (pow beta 4) (* (pow (+ 2 beta) 6) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))))))))) (+ (* -1 (/ (* beta (pow (- (+ (* (+ 2 beta) (- (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (+ (* 2 (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta))))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (/ (pow beta 4) (pow (+ 2 beta) 4))) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)) (* (pow (+ 2 beta) 3) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 3)))) (+ (* 2 (/ (* (+ 4 (* 2 beta)) (- (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6))))) (* (pow (+ 2 beta) 2) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta)))) (* (+ 2 beta) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))) (+ (* 2 (/ (* (- 1 (/ beta (+ 2 beta))) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))) (+ (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 7) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))) (+ (/ (* beta (- (+ (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (* (+ 2 beta) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 4))) (* 4 (/ (pow beta 2) (pow (+ 2 beta) 4)))) (+ (* 2 (* (- 1 (/ beta (+ 2 beta))) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* 2 (/ (* (+ 4 (* 2 beta)) (- (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 2))) (+ (/ (* (pow beta 4) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2))) (pow (+ 2 beta) 8)) (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2))))))) (+ (* 2 (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta))))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (* (pow (+ 2 beta) 2) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))) (+ (/ (* (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (* -1 (/ (- (/ beta (+ 2 beta)) 1) (+ 2 beta)))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))))) (- (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))) (* -1 (/ (pow beta 2) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))) (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (* -1 (/ (- (/ beta (+ 2 beta)) 1) (+ 2 beta)))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6))))) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))) (+ (/ (* (+ (* (+ 4 (* 2 beta)) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2))) (* (pow (+ 2 beta) 2) (- (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (+ (* 2 (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta))))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6))))))) (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2))))) (/ (* (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2))) (* (pow (+ 2 beta) 2) (- (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (+ (* 2 (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta))))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))))) (* (pow (+ 2 beta) 4) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))))) (* (pow (+ 2 beta) 2) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (+ (/ (* (pow beta 2) (- (+ (* (+ 4 (* 2 beta)) (- (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (+ (* 2 (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta))))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (+ (* (pow (+ 2 beta) 2) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 4))) (* 4 (/ (pow beta 2) (pow (+ 2 beta) 4)))) (+ (* 2 (* (- 1 (/ beta (+ 2 beta))) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* 2 (/ (* (+ 4 (* 2 beta)) (- (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 2))) (+ (/ (* (pow beta 4) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2))) (pow (+ 2 beta) 8)) (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)))))) (/ (pow beta 4) (pow (+ 2 beta) 4)))) (pow (- 1 (/ beta (+ 2 beta))) 2))) (* (pow (+ 2 beta) 4) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))) (+ (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ 6 (+ beta (* 2 beta)))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (* -1 (/ (- (/ beta (+ 2 beta)) 1) (+ 2 beta)))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 3) (- (+ (/ 1 (pow (+ 2 beta) 2)) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* beta (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ 2 beta)) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))))) (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (* -1 (/ (- (/ beta (+ 2 beta)) 1) (pow (+ 2 beta) 2))))))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6))) (+ (/ (* (pow beta 4) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2))) (* (pow (+ 2 beta) 8) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))) (+ (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)) (/ (pow (- 1 (/ beta (+ 2 beta))) 2) (* (pow (+ 2 beta) 2) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))))))))))))))))))))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta)))) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))) (+ (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 6) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))) (+ (/ 1 (* (+ 2 beta) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (+ (/ (* beta (- (+ (* (+ 2 beta) (- (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (+ (* 2 (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta))))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (/ (pow beta 4) (pow (+ 2 beta) 4))) (pow (- 1 (/ beta (+ 2 beta))) 2))) (* (pow (+ 2 beta) 2) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))) (+ (/ (* (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2))) (* (pow (+ 2 beta) 2) (- (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (+ (* 2 (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta))))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))))) (* (pow (+ 2 beta) 4) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))) (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (* -1 (/ (- (/ beta (+ 2 beta)) 1) (+ 2 beta)))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6)))))))))) (+ (/ beta (* (+ 2 beta) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (+ (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))))) (/ 1 (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2))))
(- (+ (* alpha (- (+ (* -4 (/ (pow beta 3) (* (pow (+ 2 beta) 4) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))) (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2))))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))) (+ (* -1 (/ (pow beta 2) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))) (* alpha (- (+ (* -4 (/ (pow beta 3) (* (pow (+ 2 beta) 5) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))) (+ (* 2 (/ beta (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))) (+ (* 2 (/ (pow beta 2) (* (pow (+ 2 beta) 4) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ 2 beta) 4) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))) (+ (* alpha (- (+ 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(- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2))
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(* 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)))))
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(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
beta
(+ beta (* -1 alpha))
(/ 1/2 (+ 2 beta))
(+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))
(+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 1/2 (* 1/2 (/ (* beta (- beta 2)) (- (pow beta 2) 4))))
(+ 1/2 (+ (* 1/2 (* alpha (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2)))))) (* 1/2 (/ (* beta (- beta 2)) (- (pow beta 2) 4)))))
(+ 1/2 (+ (* 1/2 (/ (* beta (- beta 2)) (- (pow beta 2) 4))) (* alpha (+ (* -1/2 (* alpha (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))) (* 1/2 (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ (* beta (- beta 2)) (- (pow beta 2) 4))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (* alpha (+ (* -1/2 (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (* 1/2 (* alpha (- (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 3))) (+ (* -2 (/ (* beta (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (* -1 (/ (- beta 2) (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2)))))))))))))
(* 1/2 (/ beta (- (pow beta 2) 4)))
(+ (* -1/2 (* alpha (+ (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4))))) (* 1/2 (/ beta (- (pow beta 2) 4))))
(+ (* 1/2 (/ beta (- (pow beta 2) 4))) (* alpha (+ (* -1/2 (* alpha (+ (* -2 (/ (* beta (+ (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4)))) (- (pow beta 2) 4))) (/ beta (pow (- (pow beta 2) 4) 2))))) (* -1/2 (+ (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4)))))))
(+ (* 1/2 (/ beta (- (pow beta 2) 4))) (* alpha (+ (* -1/2 (+ (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4)))) (* alpha (+ (* -1/2 (* alpha (+ (* -2 (/ (* beta (+ (* -2 (/ (* beta (+ (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4)))) (- (pow beta 2) 4))) (/ beta (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (+ (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4))) (- (pow beta 2) 4)))))) (* -1/2 (+ (* -2 (/ (* beta (+ (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4)))) (- (pow beta 2) 4))) (/ beta (pow (- (pow beta 2) 4) 2)))))))))
(* 1/2 beta)
(+ (* -1/2 alpha) (* 1/2 beta))
(- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)
(- (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) 1)
(- (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) 1)
(- (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))))) (/ 1 (pow (+ 2 beta) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) 1)
(- 1 (/ beta (+ 2 beta)))
(- (+ 1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(- (+ 1 (* alpha (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(- (+ 1 (* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(- (/ 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)
(+ alpha beta)
(pow beta 2)
(+ (* 2 (* alpha beta)) (pow beta 2))
(+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))
(- beta 2)
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-1/3
(- (* -1/9 (/ (- (* -4 beta) (+ 8 (+ (* -4 (+ 2 (* 2 beta))) (* 4 beta)))) alpha)) 1/3)
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-3
(- (* -4 (/ beta alpha)) (+ 3 (+ (* -4 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 4 (/ beta alpha)) (* 8 (/ 1 alpha))))))
(- (+ (* -4 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (* 4 (/ (pow beta 2) (pow alpha 2))))) (+ 3 (+ (* -4 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 4 (/ beta alpha)) (+ (* 4 (/ (- (* beta (+ 2 beta)) (* -1 (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* 8 (/ 1 alpha)) (+ (/ (* (+ 8 (* 4 beta)) (- (* -4 beta) (+ 8 (* 4 beta)))) (pow alpha 2)) (+ (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2)) (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2)))))))))))
(- (+ (* -4 (/ beta alpha)) (+ (* -4 (/ (pow beta 3) (pow alpha 3))) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (* 4 (/ (pow beta 2) (pow alpha 2)))))) (+ 3 (+ (* -4 (/ (+ 2 (* 2 beta)) alpha)) (+ (* -2 (/ (* (+ 2 (* 2 beta)) (- (* beta (+ 2 beta)) (* -1 (pow (+ 2 beta) 2)))) (pow alpha 3))) (+ (* 2 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 3))) (+ (* 2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 4 (/ beta alpha)) (+ (* 4 (/ (- (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* 4 (/ (- (* beta (+ 2 beta)) (* -1 (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* 8 (/ 1 alpha)) (+ (/ (* (+ 8 (* 4 beta)) (- (* -4 beta) (+ 8 (* 4 beta)))) (pow alpha 2)) (+ (/ (* (+ 8 (* 4 beta)) (- (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ 8 (* 4 beta)) (- (* -4 beta) (+ 8 (* 4 beta)))) (pow (+ 4 (* 2 beta)) 2))))) (pow alpha 3)) (+ (/ (* (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)) (- (* -4 beta) (+ 8 (* 4 beta)))) (pow alpha 3)) (+ (/ (pow (+ 2 (* 2 beta)) 2) (pow alpha 2)) (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))))))))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(/ 1/2 alpha)
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* 1/2 (/ (- (+ beta (* -1 (- beta 2))) (* -2 beta)) alpha))
(/ (+ (* 1/2 (- (+ beta (* -1 (- beta 2))) (* -2 beta))) (* 1/2 (/ (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))) alpha))) alpha)
(/ (+ (* -1/2 (/ (+ (* 2 (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))))) (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 (- beta 2))) (* -2 beta))) (* 1/2 (/ (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* -2 (* beta (+ (* 2 (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))))) (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4))))) (* (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))) (- (pow beta 2) 4))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* 2 (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))))) (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 (- beta 2))) (* -2 beta))) (* 1/2 (/ (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))) alpha))))) alpha)
(/ -1/2 alpha)
(/ (- (* 1/2 (/ (- beta (* -2 beta)) alpha)) 1/2) alpha)
(/ (- (+ (* -1/2 (/ (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- beta (* -2 beta))))) (pow alpha 2))) (* 1/2 (/ (- beta (* -2 beta)) alpha))) 1/2) alpha)
(/ (- (+ (* -1/2 (/ (+ (* -2 (* beta (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- beta (* -2 beta))))))) (* (- beta (* -2 beta)) (- (pow beta 2) 4))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- beta (* -2 beta))))) (pow alpha 2))) (* 1/2 (/ (- beta (* -2 beta)) alpha)))) 1/2) alpha)
(* -1/2 alpha)
(* alpha (- (* 1/2 (/ beta alpha)) 1/2))
(/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)
(/ (- (+ (* -2 beta) (/ (pow beta 2) alpha)) (+ 4 (+ (* 2 beta) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha) (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (+ (* -2 beta) (+ (* -1 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (/ (pow beta 2) alpha))) (+ 4 (+ (* 2 beta) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha) (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (+ (* -2 beta) (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))))) (pow alpha 3))) (/ (pow beta 2) alpha))) (+ 4 (+ (* 2 beta) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha) (+ (/ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 2)) (+ (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) alpha))))))) alpha)
2
(+ 2 (* -1 (/ (+ 2 (* 2 beta)) alpha)))
(- (+ 2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))))
(- (+ 2 (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (* beta (+ 2 beta)) (pow alpha 2)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 3))))))
-2
(- (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) 2)
(- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))) (+ 2 (/ (* beta (+ 2 beta)) (pow alpha 2))))
(- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 3))))) (+ 2 (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (* beta (+ 2 beta)) (pow alpha 2)))))
(* alpha (+ 1 (/ beta alpha)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
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(* beta (+ 1 (* -1 (/ alpha beta))))
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(* -1 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(* -1 (/ (- (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) beta))
(/ (- (* -1 alpha) (+ 2 alpha)) beta)
(* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))
(* -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 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) beta))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(* -1 (* beta (- (* -1 (/ (- alpha 2) beta)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
496.0ms	alpha	@	0	((+ (* (/ 1 (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2))) (- (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (/ (- alpha beta) (+ 2 (+ alpha beta))))) (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) (/ (+ (* (/ 1 (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2))) (- (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (/ (- alpha beta) (+ 2 (+ alpha beta))))) (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) 2) (/ 1 (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2))) (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2) (+ (* (/ (* 1/2 (- beta alpha)) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1/2) (/ (* 1/2 (- beta alpha)) (- (pow (+ alpha beta) 2) 4)) (* 1/2 (- beta alpha)) (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (+ alpha beta) (pow (+ alpha beta) 2) (- (+ alpha beta) 2))
299.0ms	beta	@	0	((+ (* (/ 1 (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2))) (- (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (/ (- alpha beta) (+ 2 (+ alpha beta))))) (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) (/ (+ (* (/ 1 (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2))) (- (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (/ (- alpha beta) (+ 2 (+ alpha beta))))) (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) 2) (/ 1 (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2))) (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2) (+ (* (/ (* 1/2 (- beta alpha)) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1/2) (/ (* 1/2 (- beta alpha)) (- (pow (+ alpha beta) 2) 4)) (* 1/2 (- beta alpha)) (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (+ alpha beta) (pow (+ alpha beta) 2) (- (+ alpha beta) 2))
213.0ms	alpha	@	inf	((+ (* (/ 1 (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2))) (- (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (/ (- alpha beta) (+ 2 (+ alpha beta))))) (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) (/ (+ (* (/ 1 (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2))) (- (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (/ (- alpha beta) (+ 2 (+ alpha beta))))) (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) 2) (/ 1 (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2))) (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2) (+ (* (/ (* 1/2 (- beta alpha)) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1/2) (/ (* 1/2 (- beta alpha)) (- (pow (+ alpha beta) 2) 4)) (* 1/2 (- beta alpha)) (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (+ alpha beta) (pow (+ alpha beta) 2) (- (+ alpha beta) 2))
211.0ms	alpha	@	-inf	((+ (* (/ 1 (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2))) (- (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (/ (- alpha beta) (+ 2 (+ alpha beta))))) (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) (/ (+ (* (/ 1 (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2))) (- (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (/ (- alpha beta) (+ 2 (+ alpha beta))))) (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) 2) (/ 1 (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2))) (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2) (+ (* (/ (* 1/2 (- beta alpha)) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1/2) (/ (* 1/2 (- beta alpha)) (- (pow (+ alpha beta) 2) 4)) (* 1/2 (- beta alpha)) (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (+ alpha beta) (pow (+ alpha beta) 2) (- (+ alpha beta) 2))
71.0ms	beta	@	-inf	((+ (* (/ 1 (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2))) (- (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (/ (- alpha beta) (+ 2 (+ alpha beta))))) (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) (/ (+ (* (/ 1 (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2))) (- (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (/ (- alpha beta) (+ 2 (+ alpha beta))))) (/ (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 3) (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1)) 1))) 2) (/ 1 (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2))) (- (pow (/ (- beta alpha) (+ 2 (+ alpha beta))) 4) (pow (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (+ (* (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2))) 1/2) (- beta alpha) (/ 1/2 (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2) (+ (* (/ (* 1/2 (- beta alpha)) (- (pow (+ alpha beta) 2) 4)) (- (+ alpha beta) 2)) 1/2) (/ (* 1/2 (- beta alpha)) (- (pow (+ alpha beta) 2) 4)) (* 1/2 (- beta alpha)) (- (pow (/ (- alpha beta) (+ 2 (+ alpha beta))) 2) 1) (- 1 (/ (- beta alpha) (+ 2 (+ alpha beta)))) (- (/ (- beta alpha) (+ 2 (+ alpha beta))) 1) (+ alpha beta) (pow (+ alpha beta) 2) (- (+ alpha beta) 2))

simplify1.7s (6.2%)

Memory

29.2MiB live, 2 024.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3852	116837
0	8488	111593

Stop Event

1×	iter limit
1×	node limit

Counts

326 → 324

Calls

Call 1

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

Outputs
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(* 1/2 (- (+ (/ beta (* (+ 2 beta) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (+ (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))) (/ 1 (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)))))
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(+ (* 1/2 (* alpha (- (+ (* -4 (/ (pow beta 3) (* (pow (+ 2 beta) 4) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))) (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2))))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))) (* -1 (/ (pow beta 2) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta)))) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))) (+ (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (* (pow (+ 2 beta) 6) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2)))) (+ (/ 1 (* (+ 2 beta) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (+ (/ (* beta (- (+ (* (+ 2 beta) (- (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (+ (* 2 (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta))))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (/ (pow beta 4) (pow (+ 2 beta) 4))) (pow (- 1 (/ beta (+ 2 beta))) 2))) (* (pow (+ 2 beta) 2) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))) (+ (/ (* (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2))) (* (pow (+ 2 beta) 2) (- (* -4 (/ (pow beta 3) (pow (+ 2 beta) 4))) (+ (* 2 (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- 1 (/ beta (+ 2 beta))))) (* 2 (/ (* (pow beta 4) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))))) (* (pow (+ 2 beta) 4) (pow (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)) 2))) (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (* -1 (/ (- (/ beta (+ 2 beta)) 1) (+ 2 beta)))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6))))))))))) (* 1/2 (- (+ (/ beta (* (+ 2 beta) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (+ (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))) (/ 1 (- (/ (pow beta 4) (pow (+ 2 beta) 4)) (pow (- 1 (/ beta (+ 2 beta))) 2))))))
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beta
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(+ 1/2 (+ (* 1/2 (/ (* beta (- beta 2)) (- (pow beta 2) 4))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (* alpha (+ (* -1/2 (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (* 1/2 (* alpha (- (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 3))) (+ (* -2 (/ (* beta (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (* -1 (/ (- beta 2) (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2)))))))))))))
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(* 1/2 (/ beta (- (pow beta 2) 4)))
(.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 (.f64 beta beta) #s(literal 4 binary64))))
(+ (* -1/2 (* alpha (+ (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4))))) (* 1/2 (/ beta (- (pow beta 2) 4))))
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(+ (* 1/2 (/ beta (- (pow beta 2) 4))) (* alpha (+ (* -1/2 (* alpha (+ (* -2 (/ (* beta (+ (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4)))) (- (pow beta 2) 4))) (/ beta (pow (- (pow beta 2) 4) 2))))) (* -1/2 (+ (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4)))))))
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(+ (* 1/2 (/ beta (- (pow beta 2) 4))) (* alpha (+ (* -1/2 (+ (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4)))) (* alpha (+ (* -1/2 (* alpha (+ (* -2 (/ (* beta (+ (* -2 (/ (* beta (+ (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4)))) (- (pow beta 2) 4))) (/ beta (pow (- (pow beta 2) 4) 2)))) (- (pow beta 2) 4))) (* -1 (/ (+ (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4))) (- (pow beta 2) 4)))))) (* -1/2 (+ (* -2 (/ (* beta (+ (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 4) 2))) (/ 1 (- (pow beta 2) 4)))) (- (pow beta 2) 4))) (/ beta (pow (- (pow beta 2) 4) 2)))))))))
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(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(+ (* -1/2 alpha) (* 1/2 beta))
(fma.f64 #s(literal -1/2 binary64) alpha (*.f64 #s(literal 1/2 binary64) beta))
(- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)
(-.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(- (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) 1)
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(- (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) 1)
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(- (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))))) (/ 1 (pow (+ 2 beta) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) 1)
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(- 1 (/ beta (+ 2 beta)))
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(- (+ 1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
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(- (+ 1 (* alpha (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
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(- (/ beta (+ 2 beta)) 1)
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(- (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) 1)
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(- (+ (* 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)
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(- (+ (* 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)
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(+ alpha beta)
(+.f64 alpha beta)
(pow beta 2)
(*.f64 beta beta)
(+ (* 2 (* alpha beta)) (pow beta 2))
(fma.f64 #s(literal 2 binary64) (.f64 alpha beta) (.f64 beta beta))
(+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))
(fma.f64 alpha (+.f64 alpha (.f64 #s(literal 2 binary64) beta)) (.f64 beta beta))
(- beta 2)
(-.f64 beta #s(literal 2 binary64))
(- (+ alpha beta) 2)
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(/ (- (+ (* -1/3 beta) (+ (* 1/9 (- (* -4 beta) (+ 8 (+ (* -4 (+ 2 (* 2 beta))) (* 4 beta))))) (+ (* 1/9 (- (+ (* -4 beta) (* -3 (+ 2 beta))) (+ 8 (+ (* -4 (+ 2 (* 2 beta))) (* 4 beta))))) (+ (* 1/3 (+ beta (* 2 beta))) (* 2/3 beta))))) (+ (* -1/9 (- (+ (* -2 beta) (+ (* -1 (+ 2 (* 2 beta))) (* 3 (+ 6 (+ beta (* 2 beta)))))) (* 2 (+ 2 beta)))) (* 1/9 (- (+ (* -4 beta) (* -3 (+ 4 (* 2 beta)))) (+ 8 (+ (* -4 (+ 2 (* 2 beta))) (* 4 beta))))))) alpha)
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(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 beta (-.f64 (.f64 beta (-.f64 beta #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 beta beta) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 beta (-.f64 (+.f64 beta (neg.f64 (-.f64 beta #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) beta))))))) (.f64 (-.f64 (+.f64 beta (neg.f64 (-.f64 beta #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) beta)) (-.f64 (.f64 beta beta) #s(literal 4 binary64)))) (.f64 alpha alpha)) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (+.f64 beta (neg.f64 (-.f64 beta #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) beta)) (/.f64 (-.f64 (.f64 beta (-.f64 beta #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 beta beta) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 beta (-.f64 (+.f64 beta (neg.f64 (-.f64 beta #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) beta)))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* -2 (* beta (+ (* 2 (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))))) (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4))))) (* (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))) (- (pow beta 2) 4))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* 2 (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))))) (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 (- beta 2))) (* -2 beta))) (* 1/2 (/ (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))) alpha))))) alpha)
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(/ -1/2 alpha)
(/.f64 #s(literal -1/2 binary64) alpha)
(/ (- (* 1/2 (/ (- beta (* -2 beta)) alpha)) 1/2) alpha)
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 3 binary64) beta) alpha)) #s(literal 1/2 binary64)) alpha)
(/ (- (+ (* -1/2 (/ (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- beta (* -2 beta))))) (pow alpha 2))) (* 1/2 (/ (- beta (* -2 beta)) alpha))) 1/2) alpha)
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 beta beta) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 beta (.f64 #s(literal 3 binary64) beta)))) (.f64 alpha alpha)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 3 binary64) beta) alpha))) #s(literal 1/2 binary64)) alpha)
(/ (- (+ (* -1/2 (/ (+ (* -2 (* beta (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- beta (* -2 beta))))))) (* (- beta (* -2 beta)) (- (pow beta 2) 4))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- beta (* -2 beta))))) (pow alpha 2))) (* 1/2 (/ (- beta (* -2 beta)) alpha)))) 1/2) alpha)
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 beta (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 beta beta) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 beta (.f64 #s(literal 3 binary64) beta))))) (.f64 (.f64 #s(literal 3 binary64) beta) (-.f64 (.f64 beta beta) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 beta beta) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 beta (.f64 #s(literal 3 binary64) beta)))) (.f64 alpha alpha)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 3 binary64) beta) alpha)))) #s(literal 1/2 binary64)) alpha)
(* -1/2 alpha)
(*.f64 #s(literal -1/2 binary64) alpha)
(* alpha (- (* 1/2 (/ beta alpha)) 1/2))
(.f64 alpha (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 beta alpha)) #s(literal 1/2 binary64)))
(/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha)
(/ (- (+ (* -2 beta) (/ (pow beta 2) alpha)) (+ 4 (+ (* 2 beta) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha) (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (/.f64 (.f64 beta beta) alpha)) (fma.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (.f64 #s(literal -2 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) alpha)
(/ (- (+ (* -2 beta) (+ (* -1 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (/ (pow beta 2) alpha))) (+ 4 (+ (* 2 beta) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha) (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (.f64 beta beta) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (.f64 #s(literal -2 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))) (.f64 alpha alpha)) (/.f64 (.f64 beta beta) alpha))) (fma.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (.f64 #s(literal -2 binary64) beta) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) alpha)
(/ (- (+ (* -2 beta) (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))))) (pow alpha 3))) (/ (pow beta 2) alpha))) (+ 4 (+ (* 2 beta) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha) (+ (/ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 2)) (+ (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) alpha))))))) alpha)
(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (.f64 beta beta) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (.f64 #s(literal -2 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (.f64 beta beta) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (.f64 #s(literal -2 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (.f64 beta beta) alpha))) (fma.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta) (+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (.f64 #s(literal -2 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (.f64 beta beta) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (.f64 #s(literal -2 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2 binary64) beta) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))))) alpha)
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 beta)) alpha)))
(+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) alpha)))
(- (+ 2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))))
(-.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 alpha alpha)) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)))))
(- (+ 2 (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (* beta (+ 2 beta)) (pow alpha 2)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 3))))))
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 alpha alpha)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 3 binary64)))))
-2
#s(literal -2 binary64)
(- (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) 2)
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))) #s(literal 2 binary64))
(- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))) (+ 2 (/ (* beta (+ 2 beta)) (pow alpha 2))))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 alpha alpha)) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)))) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha))))
(- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 3))))) (+ 2 (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (* beta (+ 2 beta)) (pow alpha 2)))))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (.f64 alpha alpha)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha)))))
(* alpha (+ 1 (/ beta alpha)))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 beta alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (/.f64 (.f64 beta beta) (.f64 alpha alpha)))))
(* alpha (- (+ 1 (/ beta alpha)) (* 2 (/ 1 alpha))))
(.f64 alpha (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) alpha))))
(* -1 (/ (- (+ (* -2/3 beta) (+ (* -1/3 (+ beta (* 2 beta))) (* 1/9 (- (* 4 beta) (+ (* -4 (+ 2 beta)) (* 4 (- (+ 2 beta) (* -1 beta)))))))) (+ (* -1 (- (* 1/3 beta) (* 1/9 (+ (* -3 (+ 2 beta)) (* -1 (- (* 4 beta) (+ (* -4 (+ 2 beta)) (* 4 (- (+ 2 beta) (* -1 beta)))))))))) (+ (* 1/9 (+ (* -1 (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta)))) (* 3 (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* 1/9 (- (+ (* 4 beta) (* 6 (+ 2 beta))) (+ (* -4 (+ 2 beta)) (* 4 (- (+ 2 beta) (* -1 beta))))))))) alpha))
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(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/3 (+ (* 2 (pow beta 2)) (pow beta 2))) (+ (* -1/3 (pow beta 2)) (+ (* 1/27 (pow (- (* 4 beta) (+ (* -4 (+ 2 beta)) (* 4 (- (+ 2 beta) (* -1 beta))))) 2)) (* 1/9 (- (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))) (+ (* -4 (* (+ 2 beta) (- (* 4 beta) (* -4 (+ 2 beta))))) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* 4 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (+ (* 4 (pow (+ 2 beta) 2)) (pow (- (+ 2 beta) (* -1 beta)) 2)))))))))) (+ (* -1/3 (* (+ (* -1 (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta)))) (* 3 (+ 2 (+ beta (* 2 (+ 2 beta)))))) (- (* -1/3 (+ beta (* 2 beta))) (* 1/9 (+ (* -1 (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta)))) (* 3 (+ 2 (+ beta (* 2 (+ 2 beta)))))))))) (+ (* -1/3 (* (- (* -2/3 beta) (* 1/9 (- (+ (* 4 beta) (* 6 (+ 2 beta))) (+ (* -4 (+ 2 beta)) (* 4 (- (+ 2 beta) (* -1 beta))))))) (- (+ (* 4 beta) (* 6 (+ 2 beta))) (+ (* -4 (+ 2 beta)) (* 4 (- (+ 2 beta) (* -1 beta))))))) (+ (* 1/9 (+ (* -1 (- (* -1 (+ (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* beta (- (* -1 beta) (+ 2 beta))))) (* -1 (* (+ 2 beta) (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta))))))) (+ (* 3 (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta))))))) (+ (* 1/9 (+ (* -1 (- (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))) (+ (* -4 (* (+ 2 beta) (- (* 4 beta) (* -4 (+ 2 beta))))) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* 4 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (+ (* 4 (pow (+ 2 beta) 2)) (pow (- (+ 2 beta) (* -1 beta)) 2))))))) (* (+ 2 beta) (- (* 4 beta) (+ (* -4 (+ 2 beta)) (* 4 (- (+ 2 beta) (* -1 beta)))))))) (+ (* 1/9 (- (+ (* -3 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- (* 4 beta) (+ (* -4 (+ 2 beta)) (* 4 (- (+ 2 beta) (* -1 beta))))))) (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))))) (+ (* -4 (* (+ 2 beta) (- (* 4 beta) (* -4 (+ 2 beta))))) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* 4 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (+ (* 4 (pow (+ 2 beta) 2)) (pow (- (+ 2 beta) (* -1 beta)) 2))))))) (* 1/3 (* (+ (* -3 (+ 2 beta)) (* -1 (- (* 4 beta) (+ (* -4 (+ 2 beta)) (* 4 (- (+ 2 beta) (* -1 beta))))))) (- (* 1/3 beta) (* 1/9 (+ (* -3 (+ 2 beta)) (* -1 (- (* 4 beta) (+ (* -4 (+ 2 beta)) (* 4 (- (+ 2 beta) (* -1 beta))))))))))))))))) alpha)) (+ (* -2/3 beta) (+ (* -1/3 (+ beta (* 2 beta))) (* 1/9 (- (* 4 beta) (+ (* -4 (+ 2 beta)) (* 4 (- (+ 2 beta) (* -1 beta))))))))) (+ (* -1 (- (* 1/3 beta) (* 1/9 (+ (* -3 (+ 2 beta)) (* -1 (- (* 4 beta) (+ (* -4 (+ 2 beta)) (* 4 (- (+ 2 beta) (* -1 beta)))))))))) (+ (* 1/9 (+ (* -1 (- (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 2 beta))) (* -2 (+ 2 beta)))) (* 3 (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* 1/9 (- (+ (* 4 beta) (* 6 (+ 2 beta))) (+ (* -4 (+ 2 beta)) (* 4 (- (+ 2 beta) (* -1 beta))))))))) alpha))
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(* -4 (* (pow (+ 2 beta) 3) (- (* 4 beta) (* -4 (+ 2 beta))))) (+ (* 2 (* (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (- (+ 2 beta) (* -1 beta)))) (+ (* 4 (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4))) (+ (* (+ (* 2 (pow (+ 2 beta) 2)) (* 4 (pow (+ 2 beta) 2))) (- (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))) (+ (* -4 (* (+ 2 beta) (- (* 4 beta) (* -4 (+ 2 beta))))) (+ (* 2 (pow (+ 2 beta) 2)) (* 4 (pow (+ 2 beta) 2)))))) (+ (pow (+ 2 beta) 4) (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2))))))))) (+ (* 1/3 (* (+ (* 1/27 (* (- (* 4 beta) (+ (* -4 (+ 2 beta)) (* 4 (- (+ 2 beta) (* -1 beta))))) (- (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))) (+ (* -4 (* (+ 2 beta) (- (* 4 beta) (* -4 (+ 2 beta))))) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* 4 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (+ (* 4 (pow (+ 2 beta) 2)) (pow (- (+ 2 beta) (* -1 beta)) 2)))))))) (+ (* 1/9 (- (* 4 (pow beta 3)) (+ (* -4 (* (+ 2 beta) (- (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))) (+ (* -4 (* (+ 2 beta) (- (* 4 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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/27 (* (- (* 4 beta) (+ (* -4 (+ 2 beta)) (* 4 (- (+ 2 beta) (* -1 beta))))) (- (* 4 (pow beta 3)) (+ (* -4 (* (+ 2 beta) (- (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))) (+ (* -4 (* (+ 2 beta) (- (* 4 beta) (* -4 (+ 2 beta))))) (+ (* 2 (pow (+ 2 beta) 2)) (* 4 (pow (+ 2 beta) 2))))))) (+ (* -4 (pow (+ 2 beta) 3)) (+ (* 2 (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (- (+ 2 beta) (* -1 beta)))) (+ (* 4 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* (+ (* 2 (pow (+ 2 beta) 2)) (* 4 (pow (+ 2 beta) 2))) (- (* 4 beta) (* -4 (+ 2 beta))))))))))) (+ (* 1/9 (- (pow beta 4) (+ (* -4 (* (+ 2 beta) (- (* 4 (pow beta 3)) (+ (* -4 (* (+ 2 beta) (- (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))) (+ (* -4 (* (+ 2 beta) (- (* 4 beta) (* -4 (+ 2 beta))))) (+ (* 2 (pow (+ 2 beta) 2)) (* 4 (pow (+ 2 beta) 2))))))) (+ (* -4 (pow (+ 2 beta) 3)) (* (+ (* 2 (pow (+ 2 beta) 2)) (* 4 (pow (+ 2 beta) 2))) (- (* 4 beta) (* -4 (+ 2 beta))))))))) (+ (* -4 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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
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(* -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))
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(neg.f64 (*.f64 beta (-.f64 (/.f64 alpha beta) #s(literal 1 binary64))))
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 1/2 binary64)) beta))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (+.f64 #s(literal 2 binary64) alpha))) 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))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.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) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1/2 binary64)) beta))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(neg.f64 (*.f64 beta (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 1 binary64))))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha)))) (* 1/2 (/ (- (* alpha (- alpha 2)) (+ (* -2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (* -1 (- (pow alpha 2) 4)))) beta))) beta)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) alpha))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 alpha (-.f64 alpha #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 alpha (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) alpha)))) (neg.f64 (-.f64 (.f64 alpha alpha) #s(literal 4 binary64))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* alpha (- alpha 2)) (+ (* -2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (* -1 (- (pow alpha 2) 4))))) (* -1/2 (/ (+ (* -2 (* alpha (- (* alpha (- alpha 2)) (+ (* -2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (* -1 (- (pow alpha 2) 4)))))) (* (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))) (- (pow alpha 2) 4))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) beta)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (.f64 alpha (-.f64 alpha #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 alpha (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) alpha)))) (neg.f64 (-.f64 (.f64 alpha alpha) #s(literal 4 binary64))))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 alpha (-.f64 (.f64 alpha (-.f64 alpha #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 alpha (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) alpha)))) (neg.f64 (-.f64 (.f64 alpha alpha) #s(literal 4 binary64)))))) (.f64 (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) alpha))) (-.f64 (.f64 alpha alpha) #s(literal 4 binary64)))) beta))) beta) (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 0 binary64) alpha) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) alpha))))) beta)))
(* -1 (/ (- (* 1/2 (/ (- alpha (* -2 alpha)) beta)) 1/2) beta))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 3 binary64) alpha) beta)) #s(literal 1/2 binary64)) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (- alpha (* -2 alpha))) (* 1/2 (/ (- 4 (+ (* -2 (* alpha (- alpha (* -2 alpha)))) (pow alpha 2))) beta))) beta)) 1/2) beta))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3 binary64) alpha) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 alpha (.f64 #s(literal 3 binary64) alpha)) (*.f64 alpha alpha))) beta))) beta)) #s(literal 1/2 binary64)) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- 4 (+ (* -2 (* alpha (- alpha (* -2 alpha)))) (pow alpha 2)))) (* -1/2 (/ (+ (* -2 (* alpha (- 4 (+ (* -2 (* alpha (- alpha (* -2 alpha)))) (pow alpha 2))))) (* (- alpha (* -2 alpha)) (- (pow alpha 2) 4))) beta))) beta)) (* -1/2 (- alpha (* -2 alpha)))) beta)) 1/2) beta))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 alpha (.f64 #s(literal 3 binary64) alpha)) (.f64 alpha alpha))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 alpha (-.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 alpha (.f64 #s(literal 3 binary64) alpha)) (.f64 alpha alpha)))) (.f64 (.f64 #s(literal 3 binary64) alpha) (-.f64 (.f64 alpha alpha) #s(literal 4 binary64)))) beta))) beta) (.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3 binary64) alpha))) beta)) #s(literal 1/2 binary64)) beta))
(* -1 (* beta (- (* 1/2 (/ alpha beta)) 1/2)))
(neg.f64 (.f64 beta (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 alpha beta)) #s(literal 1/2 binary64))))
(* -1 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta))
(neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta))
(* -1 (/ (- (+ (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 alpha alpha) (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta) (.f64 #s(literal 2 binary64) alpha)) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) beta) (pow alpha 2))) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (.f64 alpha alpha) (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta) (.f64 alpha alpha))) (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta) (.f64 #s(literal 2 binary64) alpha)) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))))) beta)) (pow alpha 2)) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (.f64 alpha alpha) (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)))))) beta) (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (.f64 alpha alpha) (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta)) (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (.f64 alpha alpha) (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)))))) beta) (.f64 alpha alpha)) (fma.f64 #s(literal -2 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha (.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta) (.f64 #s(literal 2 binary64) alpha)) (.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta))
(* -1 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(neg.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) beta))
(* -1 (/ (- (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) beta))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) beta) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) beta))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) beta) (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))))) beta) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1 (- (* -1 alpha) (+ 2 alpha)))) beta))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) beta) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))))) beta) (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))))) beta) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta))
(/ (- (* -1 alpha) (+ 2 alpha)) beta)
(/.f64 (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) beta)
(* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) beta)) beta))
(* -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))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) beta)) beta))) beta))
(* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) beta))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) beta)) beta))) beta))) beta))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(neg.f64 (*.f64 beta (-.f64 (neg.f64 (/.f64 alpha beta)) #s(literal 1 binary64))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(.f64 (.f64 beta beta) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha (neg.f64 (/.f64 (*.f64 alpha alpha) beta))) beta))))
(* -1 (* beta (- (* -1 (/ (- alpha 2) beta)) 1)))
(neg.f64 (*.f64 beta (-.f64 (neg.f64 (/.f64 (-.f64 alpha #s(literal 2 binary64)) beta)) #s(literal 1 binary64))))

rewrite670.0ms (2.5%)

Memory

-58.5MiB live, 716.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	442
0	94	434
1	452	432
2	3530	432
0	8442	428

Stop Event

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

Counts

24 → 383

Calls

Call 1

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

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

eval2.3s (8.7%)

Memory: -121.4MiB live, 1 691.1MiB allocated
Compiler: Compiled 188 691 to 7 859 computations (95.8% saved)

prune90.0ms (0.3%)

Memory

94.1MiB live, 303.7MiB allocated

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	1 134	4	1 138
Fresh	1	12	13
Picked	2	3	5
Done	0	5	5
Total	1 137	24	1 161

Accuracy

100.0%

Counts

1 161 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.3%	(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	73.7%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	49.3%	(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
	3.8%	(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
	49.6%	(fma.f64 #s(approx (/ (* 1/2 (- beta alpha)) (- (pow (+ alpha beta) 2) 4)) (.f64 #s(literal -1/2 binary64) (/.f64 alpha (-.f64 (.f64 alpha alpha) #s(literal 4 binary64))))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))
	55.5%	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
	74.1%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 2 binary64)))) (-.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
✓	71.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	27.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
	28.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
✓	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	28.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 6 binary64)) alpha) #s(literal 2 binary64)) beta (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) alpha))
	24.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha))
	28.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)))
	8.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
	25.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
✓	46.9%	#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))))
✓	47.8%	#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))))
	4.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
✓	50.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)))
✓	35.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	51.3%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
	26.0%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (/.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (/.f64 (.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 alpha alpha)))))) alpha))
	27.3%	#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (neg.f64 (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha)) #s(literal -1/2 binary64))) alpha))) alpha))) alpha)))

Compiler

Compiled 2 236 to 749 computations (66.5% saved)

regimes172.0ms (0.6%)

Memory

-9.8MiB live, 327.1MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

55.0ms	beta
46.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
30.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
19.0ms	alpha
17.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
94.8%	2	`alpha`
74.2%	1	`beta`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes55.0ms (0.2%)

Memory

14.8MiB live, 119.9MiB 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) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ 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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
#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) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(approx (/ (* 1/2 (- beta alpha)) (- (pow (+ alpha beta) 2) 4)) (.f64 #s(literal -1/2 binary64) (/.f64 alpha (-.f64 (.f64 alpha alpha) #s(literal 4 binary64))))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))

Outputs

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

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

Calls

3 calls:

26.0ms

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

14.0ms

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

12.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes91.0ms (0.3%)

Memory

-37.1MiB live, 91.4MiB 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) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ 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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))
#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) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ (+ alpha beta) 2) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(approx (/ (* 1/2 (- beta alpha)) (- (pow (+ alpha beta) 2) 4)) (.f64 #s(literal -1/2 binary64) (/.f64 alpha (-.f64 (.f64 alpha alpha) #s(literal 4 binary64))))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs

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

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

Calls

3 calls:

66.0ms

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

11.0ms

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes35.0ms (0.1%)

Memory

-22.3MiB live, 84.2MiB allocated

Counts

16 → 2

Calls

Call 1

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

Calls

3 calls:

16.0ms

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

9.0ms

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

8.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes32.0ms (0.1%)

Memory

-15.3MiB live, 88.3MiB allocated

Counts

15 → 2

Calls

Call 1

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

Calls

3 calls:

13.0ms

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

9.0ms

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

7.0ms

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

Results

Accuracy	Segments	Branch
98.2%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.2%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.2%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes21.0ms (0.1%)

Memory

69.2MiB live, 69.2MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

7.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
98.3%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
98.3%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.3%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes26.0ms (0.1%)

Memory

-37.3MiB live, 67.9MiB 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) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ 2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ 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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

Outputs

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

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

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

Calls

3 calls:

12.0ms

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

6.0ms

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

6.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes19.0ms (0.1%)

Memory

60.9MiB live, 61.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

6.0ms

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

6.0ms

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

6.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes35.0ms (0.1%)

Memory

-53.6MiB live, 69.3MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

17.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
6.0ms	alpha
5.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
71.8%	2	`alpha`
93.5%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
93.5%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
93.5%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes21.0ms (0.1%)

Memory

-54.5MiB live, 51.2MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

#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

3 calls:

10.0ms

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

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
93.4%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
93.4%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
93.4%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes21.0ms (0.1%)

Memory

72.4MiB live, 72.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

4.0ms	alpha
4.0ms	beta
4.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
4.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
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
56.0%	2	`alpha`
71.5%	2	`beta`
71.4%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
71.4%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
71.4%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes18.0ms (0.1%)

Memory

-63.8MiB live, 42.2MiB 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) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta))))

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:

9.0ms	(/.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))
3.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms	beta

Results

Accuracy	Segments	Branch
70.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
70.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
70.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
70.8%	2	`beta`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes12.0ms (0%)

Memory

44.3MiB live, 44.3MiB 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:

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

Results

Accuracy	Segments	Branch
35.0%	1	`alpha`
35.0%	1	`beta`
35.0%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
35.0%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
35.0%	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

4.2MiB live, 4.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999987335392	-0.9999864111606037

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999987335392	-0.9999864111606037

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999987335392	-0.9999864111606037

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9954784033658776	-1.0526531411048762e-5

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9954784033658776	-1.0526531411048762e-5

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.27165626159770956	0.9999999999970925
0.0ms	-0.9999999987335392	-0.9999864111606037

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

3.6MiB live, 3.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.27165626159770956	0.9999999999970925
0.0ms	-0.9999999987335392	-0.9999864111606037

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.27165626159770956	0.9999999999970925
0.0ms	-0.9954784033658776	-1.0526531411048762e-5

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.27165626159770956	0.9999999999970925
0.0ms	-0.9954784033658776	-1.0526531411048762e-5

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.27165626159770956	0.9999999999970925
0.0ms	-0.9954784033658776	-1.0526531411048762e-5

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch65.0ms (0.2%)

Memory

-46.1MiB live, 171.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
60.0ms	0.7459561930593406	49040419113049.05

Samples

12.0ms	109×	0	valid
9.0ms	23×	2	valid
8.0ms	28×	1	valid

Compiler

Compiled 446 to 355 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-add: 7.0ms (35% of total)

ival-div: 6.0ms (30% of total)

adjust: 4.0ms (20% of total)

ival-sub: 3.0ms (15% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

3.7MiB live, 3.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.27165626159770956	0.9999999999970925

Compiler

Compiled 16 to 16 computations (0% saved)

simplify146.0ms (0.5%)

Memory

-18.6MiB live, 308.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	828
1	171	828
2	271	828
3	611	824
4	2504	824

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 -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 6 binary64)) alpha) #s(literal 2 binary64)) beta (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -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 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 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(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ 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 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 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 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 -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(approx (- (- (/ ( (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 6 binary64)) alpha) #s(literal 2 binary64)) beta (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ 2 (+ alpha beta)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -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 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (+ (* (/ (- beta alpha) (+ 2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 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(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ 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 -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ 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 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 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 alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

soundness2.4s (9%)

Memory

229.9MiB live, 3 230.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	16	44
1	86	44
2	628	44
0	8529	43
0	433	2178
1	1507	2045
2	5969	1957
0	8060	1860
0	59	464
0	91	464
1	438	415
2	3679	395
0	8158	382
0	2307	40215
0	8161	36772
0	2248	52461
0	8072	48590
0	41	295
0	69	295
1	334	277
2	2645	277
0	8971	277

Stop Event

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

Compiler

Compiled 1 317 to 450 computations (65.8% saved)

preprocess340.0ms (1.3%)

Memory: 6.9MiB live, 447.1MiB allocated
Compiler: Compiled 1 682 to 242 computations (85.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze4.0ms (0%)

sample4.2s (15.7%)

explain323.0ms (1.2%)

preprocess564.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify455.0ms (1.7%)

localize440.0ms (1.6%)

series185.0ms (0.7%)

simplify488.0ms (1.8%)

rewrite548.0ms (2%)

eval313.0ms (1.2%)

prune48.0ms (0.2%)

simplify300.0ms (1.1%)

localize786.0ms (2.9%)

series561.0ms (2.1%)

simplify1.7s (6.4%)

rewrite563.0ms (2.1%)

eval692.0ms (2.6%)

prune149.0ms (0.6%)

simplify333.0ms (1.2%)

localize685.0ms (2.5%)

series469.0ms (1.7%)

simplify725.0ms (2.7%)

rewrite425.0ms (1.6%)

eval709.0ms (2.6%)

prune123.0ms (0.5%)

simplify331.0ms (1.2%)

localize785.0ms (2.9%)

series1.7s (6.2%)

simplify1.7s (6.2%)

rewrite670.0ms (2.5%)

eval2.3s (8.7%)

prune90.0ms (0.3%)

regimes172.0ms (0.6%)

regimes55.0ms (0.2%)

regimes91.0ms (0.3%)

regimes35.0ms (0.1%)

regimes32.0ms (0.1%)

regimes21.0ms (0.1%)

regimes26.0ms (0.1%)

regimes19.0ms (0.1%)

regimes35.0ms (0.1%)

regimes21.0ms (0.1%)

regimes21.0ms (0.1%)

regimes18.0ms (0.1%)

regimes12.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch65.0ms (0.2%)

bsearch1.0ms (0%)

simplify146.0ms (0.5%)

soundness2.4s (9%)

preprocess340.0ms (1.3%)

end0.0ms (0%)

Profiling