Metrics for Octave 3.8, jcobi/1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample1.6s (19.8%)

Memory

-21.2MiB live, 2 237.7MiB allocated; 465ms collecting garbage

Samples

555.0ms	5 993×	0	valid
297.0ms	1 442×	1	valid
250.0ms	821×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 834.0ms

ival-add: 281.0ms (33.7% of total)

adjust: 201.0ms (24.1% of total)

ival-div: 166.0ms (19.9% of total)

ival-sub: 85.0ms (10.2% of total)

ival->: 71.0ms (8.5% of total)

exact: 14.0ms (1.7% of total)

ival-and: 11.0ms (1.3% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain189.0ms (2.3%)

Memory

-23.5MiB live, 126.1MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`	cancellation	71	0

Confusion

	Predicted +	Predicted -
+	71	0
-	0	185

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	0	0
-	0	0	185

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	185
1	71

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms	370×	0	valid
16.0ms	62×	2	valid
13.0ms	80×	1	valid

Compiler

Compiled 113 to 34 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-add: 10.0ms (29.9% of total)

adjust: 9.0ms (26.9% of total)

ival-div: 9.0ms (26.9% of total)

ival-sub: 4.0ms (12% of total)

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

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

exact: 0.0ms (0% of total)

preprocess235.0ms (2.9%)

Memory

8.1MiB live, 98.2MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	73
1	69	73
2	166	73
3	402	73
4	1384	69
5	6981	69
0	10	13
0	16	13
1	31	13
2	58	13
3	131	13
4	450	13
5	3492	13
6	6902	13
0	8111	12

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

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)

simplify138.0ms (1.7%)

Memory

-20.3MiB live, 38.8MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
0	16	48
1	31	48
2	58	48
3	131	48
4	450	48
5	3492	48
6	6902	48
0	8111	47

Stop Event

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

Calls

Call 1

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

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

localize52.0ms (0.6%)

Memory

30.0MiB live, 30.0MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy	0.0	(+.f64 alpha beta)
accuracy	0.01171875	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy	16.472213432595346	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Samples

26.0ms	31×	2	valid
12.0ms	185×	0	valid
6.0ms	40×	1	valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

adjust: 23.0ms (66.3% of total)

ival-add: 5.0ms (14.4% of total)

ival-div: 4.0ms (11.5% of total)

ival-sub: 2.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

6 → 87

Calls

Call 1

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

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

Calls

6 calls:

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

simplify192.0ms (2.4%)

Memory

8.7MiB live, 96.2MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2177
1	1507	2025
2	6749	1937
0	9029	1843

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 85

Calls

Call 1

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

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

rewrite53.0ms (0.7%)

Memory

-0.9MiB live, 44.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	16	44
1	86	44
0	703	44

Stop Event

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

Counts

6 → 83

Calls

Call 1

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

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

eval89.0ms (1.1%)

Memory: -20.4MiB live, 34.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 4 933 to 845 computations (82.9% saved)

prune7.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	155	9	164
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	156	9	165

Accuracy

100.0%

Counts

165 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.2%	(/.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	74.2%	(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
	72.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	27.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha))
▶	27.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))
	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)))
▶	51.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
▶	35.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Compiler

Compiled 442 to 278 computations (37.1% saved)

simplify181.0ms (2.2%)

Memory

8.6MiB live, 145.9MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 beta alpha)
cost-diff	0	(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
cost-diff	0	(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
cost-diff	1	(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))
cost-diff	0	(/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) alpha)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))
cost-diff	0	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
cost-diff	2	(/.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff	6	(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
cost-diff	12	(-.f64 (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
cost-diff	18	(/.f64 (-.f64 (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	401
0	59	349
1	117	349
2	303	349
3	1284	273
4	7328	273
0	8897	265

Stop Event

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

Calls

Call 1

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

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

localize155.0ms (1.9%)

Memory

-31.7MiB live, 253.1MiB allocated; 27ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
accuracy	0.0	(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))
accuracy	0.01171875	(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))
accuracy	16.469886612255262	(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))
accuracy	0.01171875	(/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))
accuracy	17.82260477314779	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
accuracy	19.418711562036602	(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))
accuracy	0.0	(+.f64 #s(literal 1 binary64) alpha)
accuracy	0.0078125	(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
accuracy	46.53545690668827	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))
accuracy	41.35497798003559	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy	0.0390625	(*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy	0.04296875	(*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
accuracy	6.6806263264756085	(/.f64 (-.f64 (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
accuracy	16.472213432595346	(+.f64 (/.f64 (-.f64 (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))

Samples

48.0ms	45×	1	valid
43.0ms	172×	0	valid
33.0ms	39×	2	valid

Compiler

Compiled 383 to 34 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

adjust: 33.0ms (33% of total)

ival-sub: 25.0ms (25% of total)

ival-div: 19.0ms (19% of total)

ival-add: 13.0ms (13% of total)

ival-mult: 8.0ms (8% of total)

exact: 1.0ms (1% of total)

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

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

series84.0ms (1%)

Memory

8.3MiB live, 155.0MiB allocated; 29ms collecting garbage

Counts

21 → 269

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	alpha	@	inf	((/ (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) (/ (+ (/ (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (* (+ 2 (+ alpha beta)) 2) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (+ (/ (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) 1) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (+ 2 (+ alpha beta)))
12.0ms	alpha	@	0	((/ (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) (/ (+ (/ (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (* (+ 2 (+ alpha beta)) 2) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (+ (/ (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) 1) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (+ 2 (+ alpha beta)))
12.0ms	alpha	@	-inf	((/ (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) (/ (+ (/ (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (* (+ 2 (+ alpha beta)) 2) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (+ (/ (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) 1) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (+ 2 (+ alpha beta)))
11.0ms	beta	@	0	((/ (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) (/ (+ (/ (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (* (+ 2 (+ alpha beta)) 2) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (+ (/ (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) 1) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (+ 2 (+ alpha beta)))
7.0ms	beta	@	inf	((/ (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) (/ (+ (/ (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (* (+ 2 (+ alpha beta)) 2) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (+ (/ (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) 1) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))) (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (+ 2 (+ alpha beta)))

simplify309.0ms (3.8%)

Memory

4.7MiB live, 416.6MiB allocated; 80ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1805	15816
1	6645	15625
0	9104	14545

Stop Event

1×	iter limit
1×	node limit

Counts

269 → 267

Calls

Call 1

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

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

rewrite141.0ms (1.7%)

Memory

45.3MiB live, 233.8MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	357
0	59	293
1	289	209
0	2853	202

Stop Event

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

Counts

21 → 440

Calls

Call 1

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

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

eval219.0ms (2.7%)

Memory: -11.5MiB live, 458.2MiB allocated; 74ms collecting garbage
Compiler: Compiled 51 906 to 4 956 computations (90.5% saved)

prune46.0ms (0.6%)

Memory

-17.3MiB live, 82.4MiB allocated; 9ms collecting garbage

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	852	14	866
Fresh	1	3	4
Picked	4	1	5
Done	0	0	0
Total	857	18	875

Accuracy

100.0%

Counts

875 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.7%	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (neg.f64 (-.f64 beta alpha))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	64.0%	(/.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	74.2%	(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))
	3.8%	(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
	72.4%	#s(approx (/ (+ (/ (- (* (/ beta (+ 2 (+ alpha beta))) (/ beta (+ 2 (+ alpha beta)))) (* (/ alpha (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	27.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha))
	27.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)))
	31.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))))
	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)))
▶	27.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (- 1 (/ (+ 1 alpha) beta)) (/.f64 (-.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta)))
▶	49.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64))))
	49.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
▶	23.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
	24.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
▶	50.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)))
✓	35.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
	51.4%	#s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

Compiler

Compiled 1 049 to 638 computations (39.2% saved)

simplify107.0ms (1.3%)

Memory

30.8MiB live, 171.2MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	274
0	60	274
1	95	274
2	165	274
3	408	270
4	1913	270
0	8362	270

Stop Event

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

Calls

Call 1

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

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

localize166.0ms (2%)

Memory

-17.4MiB live, 230.7MiB allocated; 89ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
accuracy	0.08984375	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
accuracy	17.82260477314779	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
accuracy	42.63628182773098	#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))
accuracy	0.0	(+.f64 #s(literal 1 binary64) alpha)
accuracy	0.0	#s(approx (- 1 (/ (+ 1 alpha) beta)) (/.f64 (-.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
accuracy	0.015625	(/.f64 (-.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta)
accuracy	46.53545690668827	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (- 1 (/ (+ 1 alpha) beta)) (/.f64 (-.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta)))
accuracy	0.0	(-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64))
accuracy	0.0	(*.f64 #s(literal 1/8 binary64) alpha)
accuracy	17.82260477314779	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64))))
accuracy	20.772450515088202	#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))
accuracy	17.82260477314779	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)))
accuracy	20.796844659615676	#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))
accuracy	0.0	(-.f64 beta alpha)
accuracy	0.0	(+.f64 alpha beta)
accuracy	0.01171875	(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))
accuracy	16.469886612255262	(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))

Samples

42.0ms	172×	0	valid
41.0ms	39×	2	valid
23.0ms	45×	1	valid

Compiler

Compiled 188 to 37 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

adjust: 21.0ms (24.8% of total)

ival-div: 20.0ms (23.6% of total)

ival-mult: 16.0ms (18.9% of total)

ival-add: 15.0ms (17.7% of total)

ival-sub: 12.0ms (14.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series32.0ms (0.4%)

Memory

9.1MiB live, 53.9MiB allocated; 16ms collecting garbage

Counts

21 → 133

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	alpha	@	inf	((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (- beta alpha) (+ (* (+ alpha beta) 2) 4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (- (* 1/8 alpha) 1/4) alpha) 1/2) (- (* 1/8 alpha) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (- beta (+ 1 alpha)) beta) (- beta (+ 1 alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (+ alpha beta) (* 1/8 alpha) (+ 1 alpha))
9.0ms	alpha	@	0	((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (- beta alpha) (+ (* (+ alpha beta) 2) 4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (- (* 1/8 alpha) 1/4) alpha) 1/2) (- (* 1/8 alpha) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (- beta (+ 1 alpha)) beta) (- beta (+ 1 alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (+ alpha beta) (* 1/8 alpha) (+ 1 alpha))
4.0ms	alpha	@	-inf	((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (- beta alpha) (+ (* (+ alpha beta) 2) 4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (- (* 1/8 alpha) 1/4) alpha) 1/2) (- (* 1/8 alpha) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (- beta (+ 1 alpha)) beta) (- beta (+ 1 alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (+ alpha beta) (* 1/8 alpha) (+ 1 alpha))
2.0ms	beta	@	0	((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (- beta alpha) (+ (* (+ alpha beta) 2) 4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (- (* 1/8 alpha) 1/4) alpha) 1/2) (- (* 1/8 alpha) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (- beta (+ 1 alpha)) beta) (- beta (+ 1 alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (+ alpha beta) (* 1/8 alpha) (+ 1 alpha))
2.0ms	beta	@	inf	((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (- beta alpha) (+ (* (+ alpha beta) 2) 4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (- (* 1/8 alpha) 1/4) alpha) 1/2) (- (* 1/8 alpha) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (- beta (+ 1 alpha)) beta) (- beta (+ 1 alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (+ alpha beta) (* 1/8 alpha) (+ 1 alpha))

simplify236.0ms (2.9%)

Memory

5.6MiB live, 291.4MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	648	3133
1	2164	2832
0	8458	2554

Stop Event

1×	iter limit
1×	node limit

Counts

133 → 131

Calls

Call 1

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

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

rewrite77.0ms (0.9%)

Memory

10.5MiB live, 100.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	255
0	60	255
1	269	255
0	2256	251

Stop Event

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

Counts

21 → 158

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 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 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 beta alpha)))) (.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (-.f64 beta alpha))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))))
(/.f64 (fma.f64 (neg.f64 (-.f64 beta alpha)) #s(literal 2 binary64) (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64)))) #s(literal 1/2 binary64))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))) (/.f64 alpha (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 1/2 binary64))))
(-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) (-.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 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) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal -4 binary64)))
(.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (.f64 (+.f64 alpha beta) #s(literal 8 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))) (.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) (/.f64 alpha (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))))) (+.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) (/.f64 alpha (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) (fma.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) (/.f64 alpha (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) (*.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) (/.f64 alpha (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 beta alpha))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (.f64 (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta)) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))))
(/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))))
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))))
(-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) (/.f64 alpha (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 alpha beta))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (neg.f64 (+.f64 alpha beta)))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha beta))
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))
(-.f64 (/.f64 (.f64 beta beta) (+.f64 alpha beta)) (/.f64 (.f64 alpha alpha) (+.f64 alpha beta)))
(-.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha beta) (.f64 beta beta))))
(-.f64 beta alpha)
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (-.f64 #s(literal 16 binary64) (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal -4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 64 binary64))) (neg.f64 (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64))))))
(/.f64 (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal -4 binary64)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (+.f64 alpha beta) #s(literal 8 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64)))))
(fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))
(fma.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)) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal -4 binary64))))
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -4 binary64))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (+.f64 alpha beta)) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (.f64 (+.f64 alpha beta) #s(literal 8 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64))))))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
(fma.f64 alpha (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))) alpha))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 alpha) (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 alpha alpha) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 alpha #s(literal 3 binary64))) #s(literal 1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/32 binary64) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 alpha alpha) #s(literal -1/16 binary64)) (fma.f64 #s(literal 1/8 binary64) alpha #s(literal 1/4 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 alpha #s(literal 3 binary64))) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/32 binary64) #s(literal 1/16 binary64))))
(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))
(fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 alpha alpha)) (fma.f64 #s(literal 1/8 binary64) alpha #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) alpha #s(literal 1/4 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (.f64 alpha alpha) (fma.f64 alpha #s(literal 1/32 binary64) #s(literal 1/16 binary64)))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/32 binary64) #s(literal 1/16 binary64)))))
(-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal -1/4 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (- 1 (/ (+ 1 alpha) beta)) (/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) beta)))
#s(approx (- 1 (/ (+ 1 alpha) beta)) (/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) beta))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) (+.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)))) (neg.f64 (neg.f64 beta)))
(/.f64 (-.f64 (.f64 beta (neg.f64 beta)) (.f64 beta (neg.f64 (-.f64 alpha #s(literal -1 binary64))))) (*.f64 beta (neg.f64 beta)))
(/.f64 (-.f64 (.f64 beta beta) (.f64 (-.f64 alpha #s(literal -1 binary64)) beta)) (*.f64 beta beta))
(/.f64 (-.f64 (.f64 beta beta) (pow.f64 (-.f64 alpha #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 (-.f64 alpha #s(literal -1 binary64)) beta) beta))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (-.f64 alpha #s(literal -1 binary64)) #s(literal 3 binary64))) (.f64 (fma.f64 (-.f64 alpha #s(literal -1 binary64)) (+.f64 (-.f64 alpha #s(literal -1 binary64)) beta) (.f64 beta beta)) beta))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) (+.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64))) (neg.f64 beta))
(/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) beta)
(neg.f64 (/.f64 (neg.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64))) beta))
(neg.f64 (/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) (neg.f64 beta)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64))) (/.f64 alpha beta))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) (+.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) (+.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (-.f64 beta #s(literal 1 binary64)) beta) (/.f64 alpha beta))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta))
(/.f64 (-.f64 (.f64 (-.f64 beta #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (.f64 alpha alpha)) (+.f64 (-.f64 beta #s(literal 1 binary64)) alpha))
(/.f64 (-.f64 (pow.f64 (-.f64 beta #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 (-.f64 beta #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64)) (fma.f64 alpha alpha (*.f64 (-.f64 beta #s(literal 1 binary64)) alpha))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (-.f64 alpha #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 alpha #s(literal -1 binary64)) beta)))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (-.f64 alpha #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 alpha #s(literal -1 binary64)) (+.f64 (-.f64 alpha #s(literal -1 binary64)) beta) (*.f64 beta beta))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (-.f64 alpha #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (-.f64 alpha #s(literal -1 binary64)) beta))
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (-.f64 alpha #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 alpha #s(literal -1 binary64)) (+.f64 (-.f64 alpha #s(literal -1 binary64)) beta) (*.f64 beta beta)))
(-.f64 (/.f64 (*.f64 beta beta) (+.f64 (-.f64 alpha #s(literal -1 binary64)) beta)) (/.f64 (pow.f64 (-.f64 alpha #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 alpha #s(literal -1 binary64)) beta)))
(-.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 alpha #s(literal -1 binary64)) (+.f64 (-.f64 alpha #s(literal -1 binary64)) beta) (.f64 beta beta))) (/.f64 (pow.f64 (-.f64 alpha #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 alpha #s(literal -1 binary64)) (+.f64 (-.f64 alpha #s(literal -1 binary64)) beta) (.f64 beta beta))))
(-.f64 (-.f64 beta #s(literal 1 binary64)) alpha)
(-.f64 (-.f64 beta alpha) #s(literal 1 binary64))
(-.f64 beta (-.f64 alpha #s(literal -1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))
(/.f64 (-.f64 (.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 alpha #s(literal -1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) alpha) (/.f64 (/.f64 #s(literal 2 binary64) alpha) alpha))) (+.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) alpha) alpha)))
(/.f64 (-.f64 (pow.f64 (pow.f64 alpha #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 3 binary64))) (fma.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 alpha #s(literal -1 binary64)) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) alpha) (/.f64 (/.f64 #s(literal 2 binary64) alpha) alpha) (*.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) alpha) alpha)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))) (neg.f64 (neg.f64 alpha)))
(/.f64 (-.f64 alpha (.f64 alpha (/.f64 #s(literal 2 binary64) alpha))) (.f64 alpha alpha))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) #s(literal 1 binary64)) alpha))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) (neg.f64 alpha))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (neg.f64 alpha)))
(-.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) alpha) alpha))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) alpha) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) alpha) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) alpha) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (neg.f64 (-.f64 alpha beta)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 beta alpha))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 beta beta (-.f64 (.f64 alpha alpha) (.f64 alpha beta))))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(-.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (.f64 beta beta) (-.f64 alpha beta)))
(+.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 alpha alpha (.f64 beta (-.f64 beta alpha)))))
(+.f64 alpha beta)
(+.f64 beta alpha)
(*.f64 #s(literal 1/8 binary64) alpha)
(*.f64 alpha #s(literal 1/8 binary64))
(/.f64 (-.f64 (*.f64 alpha alpha) #s(literal 1 binary64)) (-.f64 alpha #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (neg.f64 (-.f64 #s(literal 1 binary64) alpha)))
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 alpha alpha (-.f64 #s(literal 1 binary64) alpha)))
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) alpha)))
(-.f64 alpha #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) alpha)
(+.f64 alpha #s(literal 1 binary64))

eval96.0ms (1.2%)

Memory: -25.3MiB live, 75.3MiB allocated; 9ms collecting garbage
Compiler: Compiled 9 920 to 1 436 computations (85.5% saved)

prune17.0ms (0.2%)

Memory

-2.3MiB live, 43.7MiB allocated; 2ms collecting garbage

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	271	7	278
Fresh	4	8	12
Picked	1	4	5
Done	0	1	1
Total	276	20	296

Accuracy

100.0%

Counts

296 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.7%	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (neg.f64 (-.f64 beta alpha))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	64.0%	(/.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	74.2%	(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))
▶	72.4%	(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64))
▶	3.8%	(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
▶	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	27.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha))
	27.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)))
	31.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))))
	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)))
✓	27.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (- 1 (/ (+ 1 alpha) beta)) (/.f64 (-.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta)))
	49.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
▶	49.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
	49.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(approx (- (* 1/8 alpha) 1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
✓	23.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
	24.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
	10.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(approx (/ (- 1 (/ 2 alpha)) alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha)))))
✓	50.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)))
✓	35.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
▶	51.4%	#s(approx (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))))

Compiler

Compiled 1 028 to 671 computations (34.7% saved)

simplify140.0ms (1.7%)

Memory

33.7MiB live, 215.5MiB allocated; 53ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	219
0	56	219
1	93	219
2	186	219
3	458	219
4	2051	219
0	8236	212

Stop Event

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

Calls

Call 1

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

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

localize1.3s (15.7%)

Memory

-49.6MiB live, 411.0MiB allocated; 1.5s collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))
accuracy	0.01171875	(/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))
accuracy	17.82260477314779	#s(approx (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))))
accuracy	19.415609687071285	(-.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))))
accuracy	0.0	(+.f64 #s(literal 1 binary64) beta)
accuracy	0.0078125	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
accuracy	44.79272302698999	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
accuracy	0.0	(fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
accuracy	0.0	(fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64))
accuracy	17.82260477314779	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
accuracy	20.772450515088202	#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
accuracy	16.469886612255262	(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
accuracy	44.8424317428357	#s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))
accuracy	0.00390625	(/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))
accuracy	16.469886612255262	(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64))
accuracy	29.683603727105254	#s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))

Samples

991.0ms	172×	0	valid
224.0ms	39×	2	valid
33.0ms	45×	1	valid

Compiler

Compiled 170 to 39 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-add: 1.0s (85.3% of total)

ival-sub: 122.0ms (10.1% of total)

ival-div: 24.0ms (2% of total)

adjust: 18.0ms (1.5% of total)

ival-mult: 14.0ms (1.2% of total)

exact: 1.0ms (0.1% of total)

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

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

series18.0ms (0.2%)

Memory

-17.3MiB live, 28.7MiB allocated; 4ms collecting garbage

Counts

17 → 117

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	alpha	@	inf	((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/ beta (+ (* 2 beta) 4)) (+ (* 2 beta) 4) (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (+ (* alpha 1/8) -1/4) alpha) 1/2) (+ (* alpha 1/8) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (- 1/2 (/ alpha (+ (* 2 alpha) 4))) (/ alpha (+ (* 2 alpha) 4)) (+ (* 2 alpha) 4))
4.0ms	alpha	@	0	((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/ beta (+ (* 2 beta) 4)) (+ (* 2 beta) 4) (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (+ (* alpha 1/8) -1/4) alpha) 1/2) (+ (* alpha 1/8) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (- 1/2 (/ alpha (+ (* 2 alpha) 4))) (/ alpha (+ (* 2 alpha) 4)) (+ (* 2 alpha) 4))
2.0ms	alpha	@	-inf	((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/ beta (+ (* 2 beta) 4)) (+ (* 2 beta) 4) (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (+ (* alpha 1/8) -1/4) alpha) 1/2) (+ (* alpha 1/8) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (- 1/2 (/ alpha (+ (* 2 alpha) 4))) (/ alpha (+ (* 2 alpha) 4)) (+ (* 2 alpha) 4))
1.0ms	beta	@	-inf	((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/ beta (+ (* 2 beta) 4)) (+ (* 2 beta) 4) (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (+ (* alpha 1/8) -1/4) alpha) 1/2) (+ (* alpha 1/8) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (- 1/2 (/ alpha (+ (* 2 alpha) 4))) (/ alpha (+ (* 2 alpha) 4)) (+ (* 2 alpha) 4))
1.0ms	beta	@	0	((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/ beta (+ (* 2 beta) 4)) (+ (* 2 beta) 4) (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (+ (* alpha 1/8) -1/4) alpha) 1/2) (+ (* alpha 1/8) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (- 1/2 (/ alpha (+ (* 2 alpha) 4))) (/ alpha (+ (* 2 alpha) 4)) (+ (* 2 alpha) 4))

simplify258.0ms (3.2%)

Memory

-23.3MiB live, 310.4MiB allocated; 105ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	643	3035
1	2152	2770
0	8993	2492

Stop Event

1×	iter limit
1×	node limit

Counts

117 → 116

Calls

Call 1

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

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

rewrite105.0ms (1.3%)

Memory

11.9MiB live, 153.1MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	202
0	56	202
1	287	202
0	2421	197

Stop Event

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

Counts

17 → 138

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ ( (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))))))
(/.f64 (+.f64 (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64))
#s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))
(.f64 (/.f64 beta (fma.f64 (.f64 beta beta) #s(literal 4 binary64) #s(literal -16 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal -4 binary64)))
(.f64 (/.f64 beta (fma.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 64 binary64))) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 beta #s(literal 8 binary64)))))
(/.f64 (neg.f64 (neg.f64 beta)) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))
(/.f64 (neg.f64 beta) (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))
(/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))
(neg.f64 (/.f64 (neg.f64 beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))
(neg.f64 (/.f64 beta (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))
(/.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 beta beta) #s(literal 4 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) beta)))
(/.f64 (neg.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal -16 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal -4 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 64 binary64))) (neg.f64 (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (.f64 beta #s(literal 8 binary64))))))
(/.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal -16 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal -4 binary64)))
(/.f64 (fma.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 beta beta) #s(literal 4 binary64)) (*.f64 beta #s(literal 8 binary64)))))
(/.f64 (fma.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 64 binary64)) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (.f64 beta #s(literal 8 binary64)))))
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))
(fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64))
(-.f64 (/.f64 (.f64 (.f64 beta beta) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal -4 binary64))))
(-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -4 binary64))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) beta))
(-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 beta) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 4 binary64) beta) beta)
(+.f64 (/.f64 (.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (.f64 beta #s(literal 8 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (.f64 beta beta) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 beta #s(literal 8 binary64))))))
(+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) beta))
(+.f64 beta (+.f64 beta #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (-.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(approx (/ (- beta alpha) (+ ( (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal -1/4 binary64)) (-.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(approx (/ (- beta alpha) (+ ( (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(approx (/ (- beta alpha) (+ ( (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(approx (/ (- beta alpha) (+ ( (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(approx (/ (- beta alpha) (+ ( (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))))
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)))
#s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))
(fma.f64 alpha (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))) alpha))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 alpha) (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 #s(literal 1/8 binary64) alpha) #s(literal 2 binary64))) (-.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/8 binary64) alpha)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 alpha alpha) #s(literal -1/16 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/8 binary64) alpha) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 alpha #s(literal 3 binary64)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 alpha alpha) (-.f64 #s(literal 1/16 binary64) (.f64 alpha #s(literal -1/32 binary64))))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 alpha alpha) #s(literal -1/16 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) alpha) #s(literal -1/4 binary64)))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 alpha #s(literal 3 binary64)) #s(literal -1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) alpha) #s(literal 2 binary64)) (.f64 alpha #s(literal -1/32 binary64)))))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 alpha #s(literal 3 binary64)) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 alpha alpha) (-.f64 #s(literal 1/16 binary64) (.f64 alpha #s(literal -1/32 binary64)))))
(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))
(fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) alpha) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) alpha) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal -1/4 binary64))))
(-.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/8 binary64) alpha))
(-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 alpha) #s(literal 1/8 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) alpha) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 alpha alpha) (-.f64 #s(literal 1/16 binary64) (.f64 alpha #s(literal -1/32 binary64))))) (/.f64 #s(literal -1/64 binary64) (fma.f64 #s(literal 1/64 binary64) (.f64 alpha alpha) (-.f64 #s(literal 1/16 binary64) (*.f64 alpha #s(literal -1/32 binary64))))))
(+.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/8 binary64) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha))
(/.f64 (-.f64 (.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 alpha #s(literal -1 binary64))) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (-.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha)))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64))) (fma.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 alpha #s(literal -1 binary64)) (-.f64 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 beta #s(literal -1 binary64)))) (neg.f64 (neg.f64 alpha)))
(/.f64 (fma.f64 #s(literal 1 binary64) alpha (.f64 alpha beta)) (.f64 alpha alpha))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 beta beta)) (.f64 (-.f64 #s(literal 1 binary64) beta) alpha))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)) alpha))
(/.f64 (neg.f64 (-.f64 beta #s(literal -1 binary64))) (neg.f64 alpha))
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)
(neg.f64 (/.f64 (neg.f64 (-.f64 beta #s(literal -1 binary64))) alpha))
(neg.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) (neg.f64 alpha)))
(fma.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (pow.f64 alpha #s(literal -1 binary64)))
(+.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha))
(/.f64 (-.f64 (*.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta))) (neg.f64 (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) (-.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 beta beta (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) (/.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)))
(-.f64 beta #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) beta)
(+.f64 beta #s(literal 1 binary64))
#s(approx (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (+.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 alpha))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) alpha)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (+.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (+.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (+.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(-.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))))
(.f64 (/.f64 alpha (fma.f64 (.f64 alpha alpha) #s(literal 4 binary64) #s(literal -16 binary64))) (fma.f64 #s(literal 2 binary64) alpha #s(literal -4 binary64)))
(.f64 (/.f64 alpha (fma.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 64 binary64))) (fma.f64 (.f64 alpha alpha) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 alpha #s(literal 8 binary64)))))
(/.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64))))
(/.f64 (neg.f64 alpha) (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)))
(/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))
(neg.f64 (/.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))))
(neg.f64 (/.f64 alpha (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64))))
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha))
(*.f64 #s(literal 2 binary64) (+.f64 alpha #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) alpha)))
(/.f64 (neg.f64 (fma.f64 (*.f64 alpha alpha) #s(literal 4 binary64) #s(literal -16 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal -4 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 64 binary64))) (neg.f64 (fma.f64 (.f64 alpha alpha) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 8 binary64))))))
(/.f64 (fma.f64 (*.f64 alpha alpha) #s(literal 4 binary64) #s(literal -16 binary64)) (fma.f64 #s(literal 2 binary64) alpha #s(literal -4 binary64)))
(/.f64 (fma.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (.f64 alpha #s(literal 8 binary64)))))
(/.f64 (fma.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 64 binary64)) (fma.f64 (.f64 alpha alpha) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 8 binary64)))))
(fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))
(fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) alpha #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal -4 binary64))))
(-.f64 (*.f64 #s(literal 2 binary64) alpha) #s(literal -4 binary64))
(-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 alpha) #s(literal 2 binary64)))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha))
(+.f64 (+.f64 #s(literal 4 binary64) alpha) alpha)
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (fma.f64 (.f64 alpha alpha) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (.f64 alpha #s(literal 8 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (.f64 alpha alpha) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 alpha #s(literal 8 binary64))))))
(+.f64 (*.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha))
(+.f64 alpha (+.f64 alpha #s(literal 4 binary64)))

eval63.0ms (0.8%)

Memory: 27.6MiB live, 74.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 9 094 to 1 282 computations (85.9% saved)

prune46.0ms (0.6%)

Memory

-9.9MiB live, 37.1MiB allocated; 2ms collecting garbage

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	241	4	245
Fresh	1	9	10
Picked	0	5	5
Done	0	5	5
Total	242	23	265

Accuracy

100.0%

Counts

265 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.7%	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (neg.f64 (-.f64 beta alpha))) (.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
	64.0%	(/.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	74.2%	(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))
✓	72.4%	(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64))
	46.2%	(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta))) #s(literal 1/2 binary64))
	47.3%	(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 #s(literal 1/4 binary64) beta))) #s(literal 1/2 binary64))
✓	3.8%	(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
✓	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
	27.1%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha))
	24.9%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha))
	27.5%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)))
	31.6%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))))
	30.0%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)))
	8.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)))
✓	27.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (- 1 (/ (+ 1 alpha) beta)) (/.f64 (-.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta)))
	49.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
✓	49.8%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
	49.2%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(approx (- (* 1/8 alpha) 1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
✓	23.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
	10.3%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(approx (/ (- 1 (/ 2 alpha)) alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha)))))
✓	50.7%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)))
✓	35.4%	#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
✓	51.4%	#s(approx (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))))

Compiler

Compiled 1 607 to 639 computations (60.2% saved)

regimes59.0ms (0.7%)

Memory

16.9MiB live, 61.5MiB allocated; 6ms collecting garbage

Counts

35 → 2

Calls

Call 1

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

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

Calls

5 calls:

27.0ms	alpha
9.0ms	beta
8.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
7.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
95.4%	2	`alpha`
74.2%	1	`beta`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes41.0ms (0.5%)

Memory

-13.8MiB live, 33.9MiB allocated; 9ms collecting garbage

Counts

33 → 2

Calls

Call 1

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

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

Calls

3 calls:

26.0ms

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

7.0ms

(/.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
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes25.0ms (0.3%)

Memory

-14.8MiB live, 30.2MiB allocated; 5ms collecting garbage

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

13.0ms

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

6.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
98.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
98.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
98.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes16.0ms (0.2%)

Memory

25.3MiB live, 25.3MiB allocated; 0ms collecting garbage

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

5.0ms

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

5.0ms

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

5.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes41.0ms (0.5%)

Memory

-22.3MiB live, 23.2MiB allocated; 5ms collecting garbage

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

31.0ms

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

4.0ms

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

4.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes13.0ms (0.2%)

Memory

20.9MiB live, 20.9MiB allocated; 0ms collecting garbage

Counts

18 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

4.0ms

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

4.0ms

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

4.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes31.0ms (0.4%)

Memory

-26.1MiB live, 19.6MiB allocated; 5ms collecting garbage

Counts

16 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

4.0ms

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

4.0ms

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

4.0ms

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

Results

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes15.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
71.5%	2	`alpha`
92.7%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
92.7%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.7%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes10.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
92.7%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
92.7%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.7%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes58.0ms (0.7%)

Memory

-30.2MiB live, 21.0MiB allocated; 7ms collecting garbage

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

52.0ms

(+.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

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes8.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

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

Outputs

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

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

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

Calls

3 calls:

3.0ms

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

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
92.4%	3	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
92.4%	3	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
92.4%	3	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes23.0ms (0.3%)

Memory

-9.6MiB live, 36.3MiB allocated; 3ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.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:

13.0ms	(+.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)))
2.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
55.2%	2	`alpha`
71.3%	2	`beta`
71.2%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
71.2%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
71.2%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes8.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
71.1%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
71.1%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
71.1%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
71.1%	2	`beta`

Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes14.0ms (0.2%)

Memory

-32.4MiB live, 14.2MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms	beta
1.0ms	alpha
1.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
35.4%	1	`alpha`
35.4%	1	`beta`
35.4%	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
35.4%	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
35.4%	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`

Compiler

Compiled 35 to 30 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.1891805862827027e-10	0.4886409789549858

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.1891805862827027e-10	0.4886409789549858

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.1891805862827027e-10	0.4886409789549858

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6994661652447802	0.9994385557512022
0.0ms	3.1891805862827027e-10	0.4886409789549858

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6994661652447802	0.9994385557512022
0.0ms	3.1891805862827027e-10	0.4886409789549858

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6994661652447802	0.9994385557512022
0.0ms	3.1891805862827027e-10	0.4886409789549858

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6994661652447802	0.9994385557512022
0.0ms	3.1891805862827027e-10	0.4886409789549858

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6994661652447802	0.9994385557512022
0.0ms	3.1891805862827027e-10	0.4886409789549858

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6994661652447802	0.9994385557512022
0.0ms	3.1891805862827027e-10	0.4886409789549858

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6994661652447802	0.9994385557512022
0.0ms	3.1891805862827027e-10	0.4886409789549858

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6994661652447802	0.9994385557512022
0.0ms	3.1891805862827027e-10	0.4886409789549858

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch52.0ms (0.6%)

Memory

4.0MiB live, 50.4MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	0.05495046695333698	1779.1207473248896

Samples

37.0ms	83×	0	valid
5.0ms	22×	2	valid
3.0ms	23×	1	valid

Compiler

Compiled 336 to 271 computations (19.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-add: 35.0ms (84.2% of total)

adjust: 3.0ms (7.2% of total)

ival-div: 2.0ms (4.8% of total)

ival-sub: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6994661652447802	0.9994385557512022

Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify56.0ms (0.7%)

Memory

-23.7MiB live, 38.3MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	1172
1	179	1172
2	296	1172
3	698	1172
4	4523	1172

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (- 1 (/ (+ 1 alpha) beta)) (/.f64 (-.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (- 1 (/ (+ 1 alpha) beta)) (/.f64 (-.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (- 1 (/ (+ 1 alpha) beta)) (/.f64 (-.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 #s(literal 1/4 binary64) beta))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (- 1 (/ (+ 1 alpha) beta)) (/.f64 (-.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (- 1 (/ (+ 1 alpha) beta)) (/.f64 (-.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (- 1 (/ (+ 1 alpha) beta)) (/.f64 (-.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
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(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 #s(literal 1/4 binary64) beta))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

derivations1.2s (15%)

Memory

-8.6MiB live, 849.5MiB allocated; 245ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	643	3035
1	2152	2770
0	8993	2492
0	648	3133
1	2164	2832
0	8458	2554
0	1805	15816
1	6645	15625
0	9104	14545
0	37	357
0	59	293
1	289	209
0	2853	202
0	44	255
0	60	255
1	269	255
0	2256	251
0	10	44
0	16	44
1	86	44
0	703	44
0	433	2177
1	1507	2025
2	6749	1937
0	9029	1843

Stop Event

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

Compiler

Compiled 1 172 to 131 computations (88.8% saved)

preprocess68.0ms (0.8%)

Memory: 38.9MiB live, 134.5MiB allocated; 11ms collecting garbage
Compiler: Compiled 2 370 to 282 computations (88.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.6s (19.8%)

explain189.0ms (2.3%)

preprocess235.0ms (2.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify138.0ms (1.7%)

localize52.0ms (0.6%)

series12.0ms (0.2%)

simplify192.0ms (2.4%)

rewrite53.0ms (0.7%)

eval89.0ms (1.1%)

prune7.0ms (0.1%)

simplify181.0ms (2.2%)

localize155.0ms (1.9%)

series84.0ms (1%)

simplify309.0ms (3.8%)

rewrite141.0ms (1.7%)

eval219.0ms (2.7%)

prune46.0ms (0.6%)

simplify107.0ms (1.3%)

localize166.0ms (2%)

series32.0ms (0.4%)

simplify236.0ms (2.9%)

rewrite77.0ms (0.9%)

eval96.0ms (1.2%)

prune17.0ms (0.2%)

simplify140.0ms (1.7%)

localize1.3s (15.7%)

series18.0ms (0.2%)

simplify258.0ms (3.2%)

rewrite105.0ms (1.3%)

eval63.0ms (0.8%)

prune46.0ms (0.6%)

regimes59.0ms (0.7%)

regimes41.0ms (0.5%)

regimes25.0ms (0.3%)

regimes16.0ms (0.2%)

regimes41.0ms (0.5%)

regimes13.0ms (0.2%)

regimes31.0ms (0.4%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

regimes58.0ms (0.7%)

regimes8.0ms (0.1%)

regimes23.0ms (0.3%)

regimes8.0ms (0.1%)

regimes14.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch52.0ms (0.6%)

bsearch0.0ms (0%)

simplify56.0ms (0.7%)

derivations1.2s (15%)

preprocess68.0ms (0.8%)

end0.0ms (0%)

Profiling